Name: ________________________ Class: ___________________ Date: __________
ID: A
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
100y
4y
a.
____
b.
25y
2.5
c.
96y
6
d.
25y
6
729
b.
108
11
c.
d.
297
44
27
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 50m 9 n 3 − 10m 7 n 4 − 25m 8 n 6 ˜˜˜˜ ?
Ë
a.
____
2.5
4
2. If y varies directly as x, and y = 4 when x = 54, then what is the value of x when y = 22?
a.
____
96y
10
9 6
5m n
b.
6 4
c.
5m n
¯
8 4
d.
5m n
7 3
5m n
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.015)B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 10 years was $17,977.56. What is the balance at the end of 14 years?
a. $18,247.22
b. $18,798.75
c. $20,863.69
d. $19,080.73
____
5. On a map, Luis’s house is located at ÊÁË −1, 3 ˜ˆ¯ and Melvin’s house is at ÊÁË 6, 10 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(2.5, 6.5)
b. (–2.5, –3.5)
c. (3.5, 3.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1070 1112 1147 ˙˙˙˙
ÍÍÍ
˙˙˙
˙
Í
Hats ÍÍÍÍ 1091 1100 1018 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1114 1118 1150 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1171 1146 1102 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. hats
b. pants
c. shirts
d.
____
(–2.5, –6.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ −1
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ −9
−4
−1
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍÍ 1 −3
˙˙˙˙
3
5
−3
9
Í
˙
˙˙˙
ÍÍÍ
˙˙˙ c.
a. ÍÍÍÍ
b.
˙˙˙
ÍÍÍ
˙˙
ÍÍÍ
˙
Í
3 −14 ˙˙˙˚
ÍÎ 17 5 −4 ˙˚
ÍÎ −1
1
˙˘˙˙
6 ˙˙˙˙
˙˙˙
˙
−5 ˙˙˙˚
ÈÍÍ
ÍÍÍ
ÍÍÍ −3
ÍÍÍ
ÍÍ −17
ÍÎ
ÍÈÍÍ
ÍÍ 2
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 8
−5
−5
1
4
˘˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
4 ˙˙˙˚
belts
˙˘˙˙
3 ˙˙˙˙
˙˙˙
˙
−9 ˙˙˙˚
d.
ÈÍÍ
ÍÍÍ
ÍÍÍ −1
ÍÍÍ
ÍÍ 1
ÍÎ
3
−3
˘˙˙
˙
−9 ˙˙˙˙
˙˙˙
˙
14 ˙˙˙˚
Name: ________________________
____
ID: A
8. A caterer’s recipes are each designed to make 6 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 3
Eggs
2
4 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 2
5
1 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
2
3 ˙˙˙˙
Sugar (cups) ÍÍ 1
Î
˚
How much flour is needed to make 60 servings of bread and 60 servings of cake?
a. 30
b. 7
c. 70
d. 3
____
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘
ÍÍÍ 6 −9 7 ˙˙˙˙˙
ÍÍÍ 8 −1 −8 ˙˙˙˙˙
Í
˙
Í
˙˙˙ . What is 6Y– 3X?
9. Given X = ÍÍÍ
˙˙˙ and Y = ÍÍÍ
˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
5 ˙˙˙˚
ÍÎ 3 −9 8 ˙˚
ÍÎ −5 −2
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ −30 −21 69 ˙˙˙˙˙
ÍÍÍ 30
˙˙˙
ÍÍÍ −60 −33 −27 ˙˙˙˙˙
21
−69
˙˙˙ c. ÍÍÍ
˙˙˙ d.
a. ÍÍÍÍ
˙˙˙˙ b. ÍÍÍÍ
˙˙˙
ÍÍÍ
˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Í
−15 −6 ˙˚
6 ˙˚
ÍÎ −39 15
ÍÎ −21 −39 54 ˙˙˙˚
ÍÎ 39
ÍÈÍÍ
ÍÍÍ 60
ÍÍÍÍ
ÍÍÍ
ÍÎ 21
33
39
˙˘˙˙
27 ˙˙˙˙
˙˙˙
˙
−54 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
57o
22o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
56o
52o
50o
47o
43o
41o
o
o
o
o
o
Avg. Temp
18
24
27
34
34
45o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.4o
b. 1o
c. 1.9o
d. 1.3o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 3% has a principal of $320,000. If no more deposits or withdrawals
are made, about how much money will be in the account after five years?
a. $371,000
b. $378,800
c. $365,600
d. $370,400
____ 12. Given:
3x − 4y = 17
3x − 3y = −15
What is the value of x – y?
a. –69
b. –32
c.
–5
d.
–37
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 86 feet per second is
2
given by the formula h(t) = −16t + 86t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 280 ft
b. 22 ft
c. 108 ft
d. 194 ft
____ 14. A taxi ride cost $16.10. The driver charged $5 plus $0.30 per 0.4 mile traveled. How far did the taxi travel on
this trip?
21.3 miles
a.
b.
36.5 miles
c.
2
14.8 miles
d.
37 miles
Name: ________________________
ID: A
____ 15. The average price of a movie ticket in the year 1991 was $3.54. The average price of a movie ticket in the
year 2006 was $8.19. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2015?
a. $10.98
b. $11.73
c. $6.80
d. $12.84
____ 16. What is the value of y in the system of equations below?
3x + 3y = −15
a.
–29
b.
53
c.
3
y = − x+7
2
24
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–5
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.7. What was the approximate speed of the car if it created skid
marks 201 ft long?
a. 15 mph
b. 50 mph
c. 45 mph
d. 65 mph
____ 18. Multiply: (−3r − 3) (−r − 9)
a. 3r2+ 27
b. 3r2+ 30r+ 27
c.
d.
–4r2+ 30r– 12
–4r2– 12
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 5, and the
amount of space between rows is 9, what is the approximate rate of water flow that will result in a precipitation
rate of 30?
a. 1.8
b. 0.2
c. 5.8
d. 14.0
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
equation that represents the highway is −5x − 2y = 9. Which equation could represent the new runway?
a. –4x – 10y = 15
b. –10x – 4y = 4
c. 10x – 4y = –13
d. –4x + 10y = 16
____ 21. The midpoint of XY is point MÊÁË −5, 10 ˆ˜¯ . If the coordinates of X are ÊÁË −1,− 4 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË −9, 3 ˆ˜¯
b. ÊÁË −3, 24 ˆ˜¯
c. ÊÁË −9, 24 ˆ˜¯
d. ÊÁË −3, 3 ˆ˜¯
3
Name: ________________________
ID: A
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 5.4
Î
b.
This Week
Year Ago c.
˘˙
2.5 ˙˙˙˙
˙˙˙
˙
4.2 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
2.7
3.8
5.8
Last Week
ÍÈ
6-month ÍÍÍÍ 2.5
ÍÍÍ
Í
12-month ÍÍÍÍ 4.2
ÍÍÍ
Í
30-month ÍÍÍÍ 5.8
Î
This Week
ÈÍ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 2.7
ÍÍÍ
Í
30-month ÍÍÍÍ 2.5
Î
Year Ago d.
˙˘
2.7 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
2.7
3.8
5.8
Last Week
This Week
Year Ago
˘˙
5.4 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
4.6
3.8
4.2
Last Week
ÍÈ
6-month ÍÍÍÍ 2.5
ÍÍÍ
Í
12-month ÍÍÍÍ 2.7
ÍÍÍ
Í
30-month ÍÍÍÍ 2.7
Î
Year Ago
˙˘
5.8 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
4.2
3.8
4.6
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 14 14 ˙˙˙˙
ages 2-5 ÍÍÍÍ 12 11 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 13 13 ˙˙ Matrix M: ages 6-10 ÍÍ 18 18 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 12 17 ˙˙˙˙
ages 11-15 ÍÍÍÍ 10 15 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÍÍÍ −2 −3 ˙˙˙˙˙
ÍÍÍ 26
ÍÍÍ −26 25 ˙˙˙˙˙
ÍÍÍ 2
−25 ˙˙˙˙
3 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
5 ˙˙˙˙
−31
−31
31
31
−5
−5
a. ÍÍÍÍÍ 5
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −2 −2 ˙˙˙
ÍÍÍ −22 −32 ˙˙˙
ÍÍÍ 22
ÍÍÍ 2
32 ˙˙˙
2 ˙˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
ÍÍÍ
____ 24. Simplify: 6 ÍÍÍÍÍ −4
ÍÍÍ
ÍÎ −2
˘˙
ÍÈÍÍ
ÍÍÍ 58 30 ˙˙˙˙˙
˙˙˙
a. ÍÍÍÍ
˙˙˙
ÍÍÍ
˙˙˚
40
26
ÍÎ
˘˙˙
ÈÍÍ
˙
ÍÍÍ
−3 ˙˙˙˙
7
˙˙˙ + 4 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−1 ˙˚
ÍÎ 7
b.
˘˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ 4
ÍÍÍ
ÍÍÍ
ÍÍÎ 16
˙˘˙˙
−6 ˙˙˙˙
˙˙˙
˙
14 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ −4
ÍÍÍ
ÍÍÍ
ÍÍÎ −16
˙˘˙˙
6 ˙˙˙˙
˙˙˙
˙
−14 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −58
ÍÍÍÍ
ÍÍÍ
ÍÎ −40
˙˘˙˙
−30 ˙˙˙˙
˙˙˙
˙
−26 ˙˙˙˚
Name: ________________________
ID: A
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
516
648
810
890
933
998
1085
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 1031
b. 871
c. 791
d. 991
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 3.3x + 19.7, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the highest typing speed recorded
b. the typing speed of a student with no experience
c. the improvement in typing speed per week for the average student
d. the average typing speed of the students
____ 27. Suppose a ball is dropped from a height of 9 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 9 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 14th
bounce?
a. 1.16 meters
b. 1.68 meters
c. 2.06 meters
d. 1.42 meters
____ 28. Martha has $252. She needs $2800 to start an account. She earns $50 per day working, of which she saves
$30. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2800?
a. 2800 = 30d − 252
c. 2800 = 50d + 252
b. 2800 = 30d + 252
d. 2800 = 50d − 252
____ 29. Maria sells paintings in an art gallery. She earns $225 each week plus a commission equal to 3.75% of her
sales. This week her goal is to earn at least $570. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $11,200
b. $9,200
c. $7,700
d. $8,700
5
Name: ________________________
ID: A
____ 30. For the line graphed below, the x-intercept is changed to –3 and the slope is unchanged.
How will the graph of the line change?
a. The new line will be perpendicular to the original line.
b. The new line will be parallel to the original line.
c. The new line will be the same as the original line.
d. The new line will intersect the original line.
____ 31. Solve: x 2 + 3x + 6 = 24
ÏÔ
¸Ô
a. ÔÌ −3, 6 Ô˝
Ó
˛
b.
ÏÔ
¸Ô
ÔÌÓ 4,− 3 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ −4, 3 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 3,− 6 Ô˝˛
d.
–8
d.
−10a b
____ 32. Given:
3x + 4y = −5
4x + 3y = 12
What is the value of x?
a. 1
b.
Ê
ˆÊ
17
c.
9
c.
−10a
ˆ
____ 33. Simplify: ÁÁÁÁ −2a 10 b 0 ˜˜˜˜ ÁÁÁÁ 5a 10 b 4 ˜˜˜˜
Ë
¯Ë
¯
a.
20
−10a b
4
b.
10
−10a b
14
100
b
0
14
10
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.56 to mail a 4-pound
box. How much would it cost to mail a 14-pound box?
$20.50
b. $15.96
c. $23.24
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (5m − 4) ÁÁÁÁ 4m 2 + m + 2 ˜˜˜˜
3
2
a.
20m + 6m − 4m − 8
b.
20m − 16m + 6m − 8
3
2
3
2
3
2
c.
20m − 16m − 4m − 8
d.
20m − 11m + 6m − 8
6
$14.08
Name: ________________________
ID: A
____ 36. Each year, Cathy invests $1,000 in her account. The account pays an interest rate of 6.3%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 33 years?
a. $109,000
b. $111,000
c. $118,000
d.
$112,000
____ 37. The endpoints of AC are A ÁÊË −3, 4 ˜ˆ¯ and C ÁÊË 6, 3 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
3 1
(− , )
2 2
b.
3 7
( , )
2 2
c.
3 7
(− , − )
2 2
d.
9 1
( ,− )
2 2
2x + y = –15
d.
–x + 2y = 8
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
x + 2y = –8
b.
2x – y = 5
c.
7
Name: ________________________
ID: A
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Monday
˙˘
275 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
˙˘
275 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˙˘
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 3 girls were absent. On Tuesday, 2 boys and 5 girls were absent. On Wednesday, 5 boys and 5 girls
were absent. On Thursday, 5 boys and 3 girls were absent. On Friday, 4 boys and 5 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 4 5 5 2 2 ˙˙˙˙˙
ÍÍÍÍ 3 2 5 5 4 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 5 3 5 5 3 ˙˚
ÍÎ 2 5 5 5 5 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
2
2
5
5
4
5
2
5
5
4
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 5 5 5 3 5 ˙˙˙˙˚
ÍÎ 3 5 5 3 5 ˙˙˚
8
Name: ________________________
ID: A
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 32
16
32 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 32
28
12 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˙˙˙˘
˙˙˙˘
Í
Í
May ÍÍÍÍ 128
16
32 ˙˙˙˙
May ÍÍÍÍ 8
4
8 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
28
12 ˙˚
7
3 ˙˙˙˚
June ÍÎ 128
June ÍÎ 8
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 8
16
32 ˙˙
May ÍÍ 128
64
128 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
28
12 ˙˙˙˚
112
48 ˙˙˙˚
June ÍÍÍÎ 8
June ÍÍÍÎ 128
____ 42. What value of m makes the equation true?
ÈÍÍ
ÍÍÍ
3
−4 ÍÍÍÍÍ
ÍÍÍ
ÍÎ −4
a.
–9
b.
–3
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
m ˙˙
4
˙˙˙ + 5 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−2 ˙˚
ÍÎ −1
c. –14
˘˙˙ ÈÍÍ
˙ Í
−5 ˙˙˙˙ ÍÍÍÍ −9
˙˙˙ = ÍÍÍ
˙ Í
−2 ˙˙˙˚ ÍÍÍÎ −6
˘˙˙
˙
1 ˙˙˙˙
˙˙˙
˙
6 ˙˙˙˚
d.
–4
____ 43. The equation y = 348.77x + 2443 represents the value of a work of art from 1964 to 2005. What does the
number 348.77 represent?
the yearly increase in value
the yearly decrease in value
a.
b.
c.
d.
value of the work of art in 2005
value of the work of art in 1964
____ 44. A computer is purchased for $734 and depreciates at $45 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 45t − 734
c.
V = 45t
d.
a.
b.
V = 734 − 45t
V = 45 (734 − t )
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 800 feet?
a. 3 seconds
b. 8 seconds
c. 10 seconds
d. 7 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $50 to join and then $20 per book. The
second club costs $25 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 14
b. 8
c. 16
d. 10
____ 47. A group of 8 children and 6 adults pay a total of $150 to take a karate class. A group of 5 children and 3
adults take the same karate class for $90. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $25
b. $20
c. $15
d. $5
9
Name: ________________________
ID: A
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the y-intercept becomes negative
c.
d.
the slope would become positive
the y-intercept becomes positive
____ 49. The Outboard Motor Company can produce 12 motors in 18 weeks. Assuming a direct variation, how many
motors can the company produce in 27 weeks?
23 motors
b. 18 motors
c.
a.
d.
13 motors
8 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.2)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 80%
The value of the car is decreasing by 20%
The value of the car is increasing by 20%
The value of the car is decreasing by 80%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 20c 6 b 5 − 20c 4 b 8 − 5c 5 b 10 ˜˜˜˜ ?
Ë
a.
5
5c b
8
b.
10
5c b
8
¯
c.
4
5c b
5
6
d.
5c b
d.
5
10
____ 52. Simplify:
Ê
4ˆ Ê
4
4ˆ
3p − 4 ÁÁÁÁ −4p + 2q ˜˜˜˜ − ÁÁÁÁ 3p − q ˜˜˜˜
Ë
¯ Ë
¯
4
4
a.
3p − 19p + 7q
b.
−3p + 19p − 7q
4
4
c.
16p + 7q
4
4
d.
16p − 7q
4
4
____ 53. What is the length of AB ?
a.
5
b.
5
c.
5
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = − 1 x– 20 represents 12th
3
Street. What is the equation representing Avenue J if it passes through the point ÊÁË −3,− 4 ˆ˜¯ ?
a. y = 3x + 5
b. y = − 1 x – 5
c. y = − 1 x + 5
d. y = 3x – 5
3
3
10
Name: ________________________
ID: A
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $9.50
$9.50
$7.50
$7.00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $9.75
$9.00
$12.00 $11.25 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14.75 $13.00 $13.25 $14.75 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 5 large pizzas and 5 medium pizzas. Which pizza shop will charge the least for the
order?
a. John's Pizza
b. Alfredo's
c. Sal's
d. Romero's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
Team 1 ÍÍÍÍ 12
17
10 ˙˙˙˙
Team 1 ÍÍÍÍ 16
13
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
Team 2 ÍÎ 11
17
20 ˙˚
Team 2 ÍÎ 12
10
What is the total number of losses by Team 2 for these two seasons?
a. 30
b. 27
c. 40
d. 23
Ties
˘˙˙
˙
11 ˙˙˙˙
˙˙˙
˙
20 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.83
$14.96 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $8.38
$14.41 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $7.91
$13.85 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $7.33
$13.39 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $6.76
$12.80 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages decreased, while college degree generally wages increased.
b. high school diploma wages increased, while college degree generally wages decreased.
c. both groups showed an overall increase in hourly wages
d. both groups showed an overall decrease in hourly wages
11
Name: ________________________
ID: A
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2.5
2
3.5
3
4.5
5
6
Visit (in
hours)
Cost of
$71
$91
$91
$95
$96
$111
$53
Visit
The equation of the line of best fit for the data is y = 11.09x + 72.6. What does the value of x represent?
a. cost of a visit
c. hourly rate
b. flat fee
d. length of visit
____ 59. An amusement park charges $11 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 8 times on a roller coaster. Her total payment was $59. Maria rode 12 times on a roller
coaster. What was her total payment?
a. $83
b. $59
c. $53
d. $71
____ 60. Which equation describes the function below?
x
–2
6
3
4
a.
2
y = 3x + 5
b.
y = x + 107
c.
y
17
113
32
53
2
y = x + 37
d.
y = 3x + 23
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $220. How many 5-dollar bills
does Carol have?
24
a.
b.
20
c.
4
d.
16
____ 62. In 2000 Jim planted a tree that was 4 1 feet tall. In 2006 the tree was 37 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 5 1 feet per year
c. 33 feet per year
2
b. 5 feet per year
d. 33 1 feet per year
2
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.488 (1.5) , where x is the number of years after 1985. In what year were there approximately 19
thousand cell phones?
a. 1986
b. 1988
c. 1994
d. 1990
____ 64. Given:
5x − 5y = 10
3x − y = −20
What is the value of y?
a. –24
b.
–13
c.
12
–11
d.
2
ID: A
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: B
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
C
A
A
B
D
B
C
B
B
B
D
C
A
B
D
B
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: A
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
D
D
B
C
D
A
C
D
D
B
B
B
B
C
B
A
A
B
B
D
D
A
A
C
A
C
B
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: B
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
48p
2p
a.
____
b.
46p
1
c.
46p
1.1
d.
24p
1
336
b.
576
48
7
c.
d.
7
3
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 42p 9 q 4 − 70p 5 q 7 + 7p 7 q 8 ˜˜˜˜ ?
Ë
a.
____
1.1
8
2. If y varies directly as x, and y = 4 when x = 48, then what is the value of x when y = 28?
a.
____
24p
9
5 4
7p q
b.
7 7
7p q
c.
¯
8 7
7p q
d.
9 8
7p q
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045)B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 6 years was $19,713.38. What is the balance at the end of 9 years?
a. $25,671.95
b. $21,527.50
c. $20,600.48
d. $22,496.24
____
5. On a map, Luis’s house is located at ÊÁË −4, 1 ˆ˜¯ and Melvin’s house is at ÊÁË 2, 7 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(1, –3)
b. (3, 3)
c. (1, –4)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1038 1122 1091 ˙˙˙˙
ÍÍÍ
˙˙˙
˙
ÍÍÍ
Hats ÍÍ 1034 1062 1086 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1070 1081 1132 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Shirts ÎÍ 1178 1141 1170 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. hats
b. pants
c. shirts
d.
____
(–1, 4)
belts
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
−
7
4
−
1
−
8
1
−
4
Í
Í
˙
˙˙˙
˙˙˙
ÍÍÍ
X = ÍÍÍÍ
Y
=
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ −9 −6 −8 ˙˙˙˙˚
8 ˙˙˚
ÍÎ 8 −2
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
15
−
5
5
−
1
−
3
−
3
1
3
3
˙˙˙
ÍÍÍ
˙˙˙ c. ÍÍÍ
˙˙˙
ÍÍÍ −15
a. ÍÍÍÍÍ
b.
d.
˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ −1
ÍÍÎ −17 −4 −16 ˙˙˚
ÍÍÎ 17 4 16 ˙˙˚
8 0 ˙˙˚
ÍÎ 1
Î
1
5
−8
˘˙˙
˙
−5 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
Name: ________________________
____
ID: B
8. A caterer’s recipes are each designed to make 8 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 1
Eggs
2
5 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 6
5
3 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
3
3 ˙˙˙˙
Sugar (cups) ÍÍ 4
Î
˚
How much sugar is needed to make 88 servings of bread and 88 servings of cake?
a. 11
b. 7
c. 121
d. 77
____
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ −4
ÍÍÍ −6 −7 6 ˙˙˙˙˙
8 4 ˙˙˙˙
Í
Í
˙˙˙ . What is –5Y– 4X?
9. Given X = ÍÍÍ
˙˙˙ and Y = ÍÍÍ
˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÎ 3 −7 2 ˙˚
ÍÎ −7 −7 6 ˙˙˙˚
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ −4
˙˙˙
ÍÍÍ −46 −3
˙˙˙
ÍÍÍ 4 67 −14 ˙˙˙˙˙
−67
14
46
˙˙˙ b. ÍÍÍ
˙˙˙ c. ÍÍÍ
˙˙˙
a. ÍÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙
ÍÍÍ
˙
Í
˙
Í
22 ˙˚
7 −22 ˙˙˙˚
ÍÎ −23 −63 38 ˙˚
ÍÎ 47
ÍÎ −47 −7
d.
ÍÈÍÍ
ÍÍÍ 46
ÍÍÍÍ
ÍÍÍ
ÍÎ 23
3
63
˙˘˙˙
−46 ˙˙˙˙
˙˙˙
˙
−38 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
56o
21o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
58o
55o
50o
48o
44o
40o
o
o
o
o
o
Avg. Temp
16
27
32
32
36
43o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.2o
b. 0.9o
c. 1.3o
d. 1.5o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 2% has a principal of $220,000. If no more deposits or withdrawals
are made, about how much money will be in the account after seven years?
a. $251,900
b. $252,700
c. $242,700
d. $251,100
____ 12. Given:
5x + 4y = −17
5x + 3y = −19
What is the value of x – y?
a. –3
b. –7
c.
2
d.
–5
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 83 feet per second is
2
given by the formula h(t) = −16t + 83t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 351 ft
b. 19 ft
c. 185 ft
d. 102 ft
____ 14. A taxi ride cost $28.40. The driver charged $5 plus $0.60 per 0.2 mile traveled. How far did the taxi travel on
this trip?
7.8 miles
a.
b.
12.1 miles
c.
2
37.9 miles
d.
39 miles
Name: ________________________
ID: B
____ 15. The average price of a movie ticket in the year 1990 was $5.43. The average price of a movie ticket in the
year 2004 was $6.83. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2020?
a. $12.26
b. $6.03
c. $8.23
d. $8.43
____ 16. What is the value of y in the system of equations below?
3x + 3y = −15
a.
16
b.
–21
c.
3
y = − x+3
2
–5
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
37
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.3. What was the approximate speed of the car if it created skid
marks 180 ft long?
a. 15 mph
b. 40 mph
c. 12 mph
d. 33 mph
____ 18. Multiply: (−3m + 3) (−m − 6)
a. 3m2+ 15m– 18
b. –4m2+ 15m– 3
c.
d.
–4m2– 3
3m2– 18
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 3, and the
amount of space between rows is 8, what is the approximate rate of water flow that will result in a precipitation
rate of 35?
a. 0.1
b. 1.0
c. 7.3
d. 8.7
____ 20. At the airport, the new runway will be perpendicular to a nearby highway. On a scale drawing of the airport,
the equation that represents the highway is 2x +
a.
–8x + 10y = –8
b.
8x + 10y = 7
5
y = 7. Which equation could represent the new runway?
2
c. 10x – 8y = –12
d. 10x + 8y = –8
____ 21. The midpoint of XY is point MÊÁË 8, 1 ˆ˜¯ . If the coordinates of X are ÊÁË −4, 5 ˆ˜¯ , what are the coordinates of Y?
a.
ÊÁ 20,− 3 ˆ˜
Ë
¯
b.
ÊÁ 2, 3 ˆ˜
Ë
¯
c.
3
ÊÁ 2,− 3 ˆ˜
Ë
¯
d.
ÊÁ 20, 3 ˆ˜
Ë
¯
Name: ________________________
ID: B
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.5
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.5
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.5
ÍÍÍ
Í
12-month ÍÍÍÍ 3
ÍÍÍ
Í
30-month ÍÍÍÍ 5.4
Î
Last Week
3
3.4
5
Last Week
2.9
3.4
5.8
Year Ago c.
˘˙
5.4 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.5
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 6.2
Î
Year Ago d.
˙˘
2.5 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.5 ˙˙˙˙
˙˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
2.9
3.4
5.8
Last Week
ÍÈ
6-month ÍÍÍÍ 2.5
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.5
Î
Year Ago
˙˘
6.2 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
5
3.4
3
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 12 10 ˙˙˙˙
ages 2-5 ÍÍÍÍ 11 13 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 12 10 ˙˙ Matrix M: ages 6-10 ÍÍ 13 16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 11 12 ˙˙˙˙
ages 11-15 ÍÍÍÍ 10 16 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÍÍÍ 1 −3 ˙˙˙˙˙
ÍÍÍ −1
ÍÍÍ −23 23 ˙˙˙˙˙
ÍÍÍ 23
3 ˙˙˙˙
−23 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
6 ˙˙˙˙
25
26
−25
−26
a. ÍÍÍÍÍ −1 −6 ˙˙˙˙˙
b. ÍÍÍÍÍ 1
c.
d.
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 1 −4 ˙˙˙
ÍÍÍ −1
ÍÍÍ 21
ÍÍÍ −21 −28 ˙˙˙˙˙
4 ˙˙˙
28 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
3
6
7
−8
˙˙˙ + 3 ÍÍÍ
˙˙˙
____ 24. Simplify: −3 ÍÍÍÍÍ
˙
Í
˙˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ −6
3 ˙˙˙˚
ÍÎ 7 −9 ˙˙˚
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ 12
˙˙˙
ÍÍÍ −12 42 ˙˙˙˙˙
−42
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍÍ −39 36 ˙˙˙˙˙
39
−36
ÍÎ
˙˚
Î
˚
c.
4
ÍÈÍÍ
ÍÍÍ 30
ÍÍÍÍ
ÍÍÍ
ÍÎ −3
˙˘˙˙
6 ˙˙˙˙
˙˙˙
˙
18 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −30
ÍÍÍÍ
ÍÍÍ
ÍÎ 3
˙˘˙˙
−6 ˙˙˙˙
˙˙˙
˙
−18 ˙˙˙˚
Name: ________________________
ID: B
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
540
681
850
861
912
989
1018
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 962
b. 802
c. 1162
d. 1042
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.4x + 16.7, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the average typing speed of the students
b. the typing speed of a student with no experience
c. the improvement in typing speed per week for the average student
d. the highest typing speed recorded
____ 27. Suppose a ball is dropped from a height of 10 meters and bounces to 75% of its previous height after each
n
bounce. Using the formula h = 10 (0.75) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 4th
bounce?
a. 3.04 meters
b. 2.52 meters
c. 3.82 meters
d. 3.16 meters
____ 28. Martha has $286. She needs $2200 to start an account. She earns $70 per day working, of which she saves
$55. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2200?
a. 2200 = 55d + 286
c. 2200 = 55d − 286
b. 2200 = 70d − 286
d. 2200 = 70d + 286
____ 29. Maria sells paintings in an art gallery. She earns $225 each week plus a commission equal to 3.5% of her
sales. This week her goal is to earn at least $634. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $9,700
b. $12,700
c. $11,200
d. $11,700
5
Name: ________________________
ID: B
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will be parallel to the original line.
b. The new line will be the same as the original line.
c. The new line will not intersect the original line.
d. The new line will be perpendicular to the original line.
____ 31. Solve: x 2 − x + 5 = 17
ÏÔ
¸Ô
a. ÔÌ 3,− 4 Ô˝
Ó
˛
ÏÔ
¸Ô
ÔÌÓ 1,− 2 Ô˝˛
b.
c.
ÏÔ
¸Ô
ÔÌÓ −3, 4 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −1, 2 Ô˝˛
d.
3
d.
−8a b
____ 32. Given:
5x + 5y = −15
3x + y = −15
What is the value of x?
a. –6
b.
Ê
ˆÊ
–9
c.
–3
c.
−8a b
ˆ
____ 33. Simplify: ÁÁÁÁ 2a 6 b 9 ˜˜˜˜ ÁÁÁÁ −4a 4 b 2 ˜˜˜˜
Ë
¯Ë
¯
a.
24
−8a b
18
b.
6
−8a b
15
15
6
10
11
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.71 to mail a 3-pound
box. How much would it cost to mail a 11-pound box?
$22.39
b. $17.27
c. $25.50
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (3k − 3) ÁÁÁÁ 5k 2 + 2k − 4 ˜˜˜˜
a.
b.
3
2
3
2
15k − 15k − 18k + 12
15k − 18k − 6k + 12
c.
d.
6
3
2
15k − 15k − 6k + 12
3
2
15k − 9k − 18k + 12
$15.17
Name: ________________________
ID: B
____ 36. Each year, Cathy invests $1,200 in her account. The account pays an interest rate of 5.6%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 34 years?
a. $123,000
b. $133,000
c. $124,000
d.
$136,000
____ 37. The endpoints of AC are A ÁÊË −8, 5 ˜ˆ¯ and C ÁÊË 5, 4 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
3 1
( , )
2 2
b.
(
13 1
,− )
2
2
c.
3 9
( ,− )
2 2
d.
3 9
(− , )
2 2
d.
–x – 2y = 20
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
–2x + y = 13
b.
x – 2y = 18
c.
7
–2x – y = –4
Name: ________________________
ID: B
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Monday
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
˘˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 3 boys
and 2 girls were absent. On Tuesday, 4 boys and 4 girls were absent. On Wednesday, 5 boys and 5 girls
were absent. On Thursday, 2 boys and 4 girls were absent. On Friday, 4 boys and 3 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 4 2 5 4 3 ˙˙˙˙˙
ÍÍÍÍ 3 4 5 2 4 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 3 4 5 4 2 ˙˚
ÍÎ 2 4 5 4 3 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
5
4
5
2
4
2
4
5
2
4
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 3 4 5 5 3 ˙˙˙˙˚
ÍÎ 5 4 5 4 3 ˙˙˚
8
Name: ________________________
ID: B
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 27
21
18 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 33
21
30 ˙˙˙˚
In May and June his sales are a third of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
Í
˙
Í
˙
May ÍÍÍÍ 9
21
18 ˙˙˙˙
May ÍÍÍÍ 81
63
54 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
21
30 ˙˚
63
90 ˙˙˙˚
June ÍÎ 11
June ÍÎ 99
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 81
21
18 ˙˙
May ÍÍ 9
7
6 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
21
30 ˙˙˙˚
7
10 ˙˙˙˚
June ÍÍÍÎ 99
June ÍÍÍÎ 11
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
5
−2 ÍÍÍÍÍ
ÍÍÍ
ÍÎ r
a.
11
b.
6
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
5 ˙˙
4
˙˙˙ − 3 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
3 ˙˚
ÍÎ −5
c. 4
˘˙˙ ÈÍÍ
˙ Í
−1 ˙˙˙˙ ÍÍÍÍ −8
˙˙˙ = ÍÍÍ
˙ Í
4 ˙˙˙˚ ÍÍÍÎ 9
˘˙˙
˙
−6 ˙˙˙˙
˙˙˙
˙
10 ˙˙˙˚
d.
3
____ 43. The equation y = 474.57x + 3852 represents the value of a work of art from 1964 to 2005. What does the
number 3852 represent?
the yearly decrease in value
value of the work of art in 2005
a.
b.
c.
d.
the yearly increase in value
value of the work of art in 1964
____ 44. A computer is purchased for $784 and depreciates at $50 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 50t
c.
V = 50t − 784
d.
a.
b.
V = 784 − 50t
V = 50 (784 − t )
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1100 feet?
a. 6 seconds
b. 8 seconds
c. 4 seconds
d. 5 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $20 to join and then $25 per book. The
second club costs $30 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 2
b. 10
c. 6
d. 4
____ 47. A group of 2 children and 7 adults pay a total of $160 to take a karate class. A group of 5 children and 2
adults take the same karate class for $90. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $20
b. $10
c. $30
d. $50
9
Name: ________________________
ID: B
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the y-intercept becomes positive
c.
d.
the y-intercept becomes negative
the slope would become positive
____ 49. The Outboard Motor Company can produce 13 motors in 13 weeks. Assuming a direct variation, how many
motors can the company produce in 25 weeks?
55 motors
b. 35 motors
c.
a.
d.
20 motors
25 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.15)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 15%
The value of the car is increasing by 85%
The value of the car is increasing by 15%
The value of the car is decreasing by 85%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 50a 8 f 7 − 30a 3 f 8 + 5a 5 f 10 ˜˜˜˜ ?
Ë
a.
8 10
b.
5a f
3 7
5a f
¯
c.
10 8
5a f
5 8
d.
5a f
d.
5
____ 52. Simplify:
Ê
2ˆ Ê 2
2ˆ
−3m − 2 ÁÁÁÁ 4m − 4n ˜˜˜˜ + ÁÁÁÁ m + 2n ˜˜˜˜
Ë
¯ Ë
¯
a.
b.
2
m − 11m + 10n
2
−10m + 10n
2
c.
d.
2
2
−m + 11m − 10n
2
−10m − 10n
2
2
____ 53. What is the length of AB ?
a.
5
b.
65
c.
85
____ 54. On a map of downtown, 12th Street is parallel to Avenue J. The equation y = − 1 x+ 2 represents 12th Street.
2
Ê
Á
What is the equation representing Avenue J if it passes through the point Ë −2, 4 ˜ˆ¯ ?
a. y = 2x + 3
b. y = − 1 x + 8
c. y = 2x + 8
d. y = − 1 x + 3
2
2
10
Name: ________________________
ID: B
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $6. 00
$6. 50
$9. 50
$8. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $9. 25
$10. 75 $12. 25 $10. 50 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $12. 25 $13. 50 $14. 75 $14. 75 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 7 large pizzas and 4 medium pizzas. Which pizza shop will charge the least for the
order?
a. Alfredo's
b. John's Pizza
c. Sal's
d. Romero's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
19
16 ˙˙˙˙
15
Team 1 ÍÍÍÍ 19
Team 1 ÍÍÍÍ 11
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
13
10 ˙˚
16
Team 2 ÍÎ 20
Team 2 ÍÎ 16
What is the total number of wins by Team 2 for these two seasons?
a. 36
b. 29
c. 20
d. 30
Ties
˘˙˙
˙
11 ˙˙˙˙
˙˙˙
˙
10 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.81
$14.85 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $8.23
$14.27 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $7.75
$13.80 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $7.19
$13.29 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $6.74
$12.84 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall decrease in hourly wages
b. both groups showed an overall increase in hourly wages
c. high school diploma wages decreased, while college degree generally wages increased.
d. high school diploma wages increased, while college degree generally wages decreased.
11
Name: ________________________
ID: B
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2.5
3
3.5
4
4.5
5
5.5
Visit (in
hours)
Cost of
$58
$82
$85
$99
$97
$118
$70
Visit
The equation of the line of best fit for the data is y = 17.07x + 61.39. What does the slope represent?
a. length of visit
c. flat fee
b. cost of a visit
d. hourly rate
____ 59. An amusement park charges $16 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 8 times on a roller coaster. Her total payment was $40. Maria rode 10 times on a roller
coaster. What was her total payment?
a. $46
b. $37
c. $40
d. $43
____ 60. Which equation describes the function below?
x
–1
3
5
6
a.
2
b.
y = 4x + 6
2
y = 3x + 42
c.
y
10
42
106
150
y = 4x + 14
d.
y = 3x + 33
____ 61. Carol has three times as many 10-dollar bills as 5-dollar bills. She has a total of $245. How many 5-dollar
bills does Carol have?
7
b.
a.
21
c.
28
d.
14
____ 62. In 2000 Jim planted a tree that was 5 3 feet tall. In 2007 the tree was 28 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 3 1 feet per year
c. 23 1 feet per year
4
4
3
b. 3 feet per year
d. 23 3 feet per year
4
4
2
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.566 (1.56) , where x is the number of years after 1985. In what year were there approximately 48
thousand cell phones?
a. 1989
b. 1987
c. 1991
d. 1995
____ 64. Given:
8x − 2y = −18
5x + y = −9
What is the value of y?
a. –1
b.
–2
c.
12
–3
d.
1
ID: B
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: A
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
A
B
B
A
A
C
D
A
D
D
C
A
D
B
D
A
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: B
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
D
D
D
C
D
D
D
C
B
D
C
C
D
A
B
A
C
D
C
A
A
D
A
A
A
A
D
D
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: C
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
56x
8x
a.
____
7x
c.
7x
3
d.
48x
1.4
112
b.
100
7
c.
d.
160
7
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 20m 8 n 5 + 2m 2 n 7 + 4m 5 n 8 ˜˜˜˜ ?
Ë
a.
____
b.
1.4
2. If y varies directly as x, and y = 10 when x = 40, then what is the value of x when y = 28?
a.
____
48x
3
10
7
2 5
2m n
b.
8 8
2m n
c.
¯
5 7
d.
2m n
8 7
2m n
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.015)B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 6 years was $17,484.92. What is the balance at the end of 9 years?
a. $19,118.77
b. $17,747.19
c. $18,283.60
d. $18,013.40
____
5. On a map, Luis’s house is located at ÊÁË −8, 5 ˆ˜¯ and Melvin’s house is at ÊÁË 2, 10 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(–3, 7.5)
b. (3, –2.5)
c. (3, –7.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÈÍÍ
˘˙˙
Í
˙
Belts ÍÍÍÍ 1027 1141 1135 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1032 1093 1036 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1091 1146 1149 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1158 1157 1200 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. hats
b. pants
c. shirts
d.
____
(5, 2.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
6 −4 2 ˙˙
5
X = ÍÍÍÍÍ
˙˙˙
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÍÍ
˙˙˙
6 2 ˙˚
ÍÎ 2
ÍÎ 6
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ 11
˙˙˙
ÍÍÍ −1 13 −2 ˙˙˙˙˙
ÍÍ
5
2
˙˙˙
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
c. ÍÍÍÍÍ −11 −5
˙
˙
ÍÍÍ
˙
˙
ÍÍÍ
ÍÍÍÍ −4
2
1 ˙˙˙˚
−14
ÍÎ 8 14 5 ˙˙˙˚
ÍÎ −8
Î
1
9
8
belts
˘˙˙
˙
0 ˙˙˙˙
˙˙˙
˙
3 ˙˙˙˚
˙˘˙˙
−2 ˙˙˙˙
˙˙˙ d.
˙
−5 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ 1
ÍÍÍÍ
ÍÍÍ
ÍÎ 4
−13
−2
˙˘˙˙
2 ˙˙˙˙
˙˙˙
˙
−1 ˙˙˙˚
Name: ________________________
____
ID: C
8. A caterer’s recipes are each designed to make 4 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 3
Eggs
3
2 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 3
5
6 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
6
2 ˙˙˙˙
Sugar (cups) ÍÍ 1
Î
˚
How much sugar is needed to make 56 servings of bread and 56 servings of cake?
a. 7
b. 112
c. 8
d. 98
____
ÍÈÍÍ
˙˘
ÍÍÍ −4 8 −4 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
8 ˙˙˙˚
ÍÎ 0 5
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ 35
ÍÍ 13
˙˙˙
−31
14
a. ÍÍÍÍ
˙˙˙˙ b. ÍÍÍÍÍ
ÍÍÍ
ÍÍÍ
˙˙
ÍÎ 12
ÍÎ −12 −46 −67 ˙˙˚
ÍÈÍÍ
ÍÍÍ 5
ÍÍÍ
ÍÍÍ
ÍÍÎ −4
˙˘˙˙
−2 ˙˙˙˙
˙˙˙ . What is –3Y+ 5X?
˙
−7 −9 ˙˙˙˚
˘˙˙
ÍÈÍÍ
˙˘
˙
ÍÍÍ −13 49 −26 ˙˙˙˙˙
−49 26 ˙˙˙˙
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙
˙˙˙
ÍÍÍ
−4
−13 ˙˚
4
13 ˙˙˙˚
ÍÎ −12
3
ÍÈÍÍ
ÍÍÍ −35
ÍÍÍÍ
ÍÍÍ
ÍÎ 12
31
46
˙˘˙˙
−14 ˙˙˙˙
˙˙˙
˙
67 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
57o
17o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
59o
55o
50o
47o
45o
43o
o
o
o
o
o
Avg. Temp
20
25
31
29
36
45o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1o
b. 1.9o
c. 1.4o
d. 1.3o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 6% has a principal of $420,000. If no more deposits or withdrawals
are made, about how much money will be in the account after three years?
a. $500,200
b. $509,900
c. $494,800
d. $501,500
____ 12. Given:
6x + 3y = −12
6x + 2y = −4
What is the value of x + y?
a. 10
b. 2
c.
–6
d.
–8
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 91 feet per second is
2
given by the formula h(t) = −16t + 91t , where t is the time in seconds. What is the height of the object after 4
seconds?
a. 17 ft
b. 199 ft
c. 108 ft
d. 290 ft
____ 14. A taxi ride cost $14.80. The driver charged $6 plus $0.40 per 0.4 mile traveled. How far did the taxi travel on
this trip?
24.3 miles
a.
b.
8.8 miles
c.
2
22 miles
d.
8.5 miles
Name: ________________________
ID: C
____ 15. The average price of a movie ticket in the year 1992 was $4.35. The average price of a movie ticket in the
year 2007 was $11.10. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2017?
a. $15.45
b. $15.6
c. $17.85
d. $8.85
____ 16. What is the value of y in the system of equations below?
7x + 3y = 16
a.
–4
b.
0
c.
7
y = − x+3
4
8
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
4
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.3. What was the approximate speed of the car if it created skid
marks 229 ft long?
a. 16 mph
b. 14 mph
c. 45 mph
d. 34 mph
____ 18. Multiply: (5r − 12) (3r − 3)
a. 15r2– 51r+ 36
b. 8r2– 51r– 15
c.
d.
15r2+ 36
8r2– 15
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 8, and the
amount of space between rows is 5, what is the approximate rate of water flow that will result in a precipitation
rate of 30?
a. 12.5
b. 0.5
c. 2.0
d. 5.1
____ 20. At the airport, the new runway will be perpendicular to a nearby highway. On a scale drawing of the airport,
3
the equation that represents the highway is − x + 5y = –1. Which equation could represent the new runway?
4
a. 20x + 3y = –9
b. 3x + 20y = 19
c. 20x – 3y = –5
d. –3x + 20y = –14
____ 21. The midpoint of XY is point MÊÁË 6,− 1 ˆ˜¯ . If the coordinates of X are ÊÁË −8, 7 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË 20, 3 ˆ˜¯
b. ÊÁË 20,− 9 ˆ˜¯
c. ÊÁË −1, 3 ˆ˜¯
d. ÊÁË −1,− 9 ˆ˜¯
3
Name: ________________________
ID: C
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 2.6
ÍÍÍ
Í
30-month ÍÍÍÍ 2.1
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.1
ÍÍÍ
Í
12-month ÍÍÍÍ 3
ÍÍÍ
Í
30-month ÍÍÍÍ 5
Î
Last Week
Year Ago c.
˘˙
6.2 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
4.6
4.6
3
Last Week
This Week
ÈÍ
6-month ÍÍÍÍ 2.1
ÍÍÍ
Í
12-month ÍÍÍÍ 2.6
ÍÍÍ
Í
30-month ÍÍÍÍ 2.8
Î
Year Ago d.
2.6
4.6
6.2
Last Week
˙˘
2.8 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
This Week
Year Ago
˘˙
5 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
3
4.6
4.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 6.2
Î
Year Ago
˙˘
2.1 ˙˙˙˙
˙˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
2.6
4.6
6.2
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 18 15 ˙˙˙˙
ages 2-5 ÍÍÍÍ 13 12 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 11 10 ˙˙ Matrix M: ages 6-10 ÍÍ 15 15 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 15 18 ˙˙˙˙
ages 11-15 ÍÍÍÍ 16 18 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÈÍÍ
˘
ÍÍÍ −31 27 ˙˙˙˙˙
ÍÍÍ 5
ÍÍÍ 31
ÍÍÍ −5 −3 ˙˙˙˙˙
3 ˙˙˙˙
−27 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
25 ˙˙˙˙
−4
−5
−26
−25
4
5
a. ÍÍÍÍÍ 26
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 31
ÍÍÍ −1
ÍÍÍ −31 −36 ˙˙˙
ÍÍÍ 1
36 ˙˙˙
0 ˙˙˙
0 ˙˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙ ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙ ÍÍÍ
˙˙˙
9
−9
3
6
˙˙˙
˙˙˙˙ − ÍÍÍÍ
____ 24. Simplify: −5 ÍÍÍÍÍ
˙˙˙
˙˙˙ ÍÍÍ
ÍÍÍ
˙
ÍÎ −2 −3 ˙˙˚ ÍÍÎ −9 1 ˙˙˚
ÈÍÍ
ÍÈÍÍ
˙˘˙˙
˙˘˙˙
ÍÍÍ
ÍÍÍ 48
˙˙˙
˙˙˙
−39
6
51
Í
˙˙˙
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
˙
˙˙˙
ÍÍÍ
ÍÍÍÍ −19 −14 ˙˙˙˙
˙˙˚
1
16
ÍÎ
Î
˚
c.
4
ÍÈÍÍ
ÍÍÍ −6
ÍÍÍÍ
ÍÍÍ
ÍÎ −1
˙˘˙˙
−51 ˙˙˙˙
˙˙˙
˙
−16 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −48
ÍÍÍÍ
ÍÍÍ
ÍÎ 19
˙˘˙˙
39 ˙˙˙˙
˙˙˙
˙
14 ˙˙˙˚
Name: ________________________
ID: C
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
572
669
813
850
894
1017
1043
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 1167
b. 847
c. 967
d. 1047
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 4.8x + 15.5, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the improvement in typing speed per week for the average student
b. the typing speed of a student with no experience
c. the highest typing speed recorded
d. the average typing speed of the students
____ 27. Suppose a ball is dropped from a height of 7 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 7 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 9th
bounce?
a. 1.81 meters
b. 2.07 meters
c. 2.71 meters
d. 3.11 meters
____ 28. Martha has $265. She needs $2300 to start an account. She earns $55 per day working, of which she saves
$45. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2300?
a. 2300 = 55d + 265
c. 2300 = 45d + 265
b. 2300 = 45d − 265
d. 2300 = 55d − 265
____ 29. Maria sells paintings in an art gallery. She earns $375 each week plus a commission equal to 3.25% of her
sales. This week her goal is to earn at least $523. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $4,100
b. $5,600
c. $4,600
d. $2,600
5
Name: ________________________
ID: C
____ 30. For the line graphed below, the x-intercept is changed to –2 and the slope is unchanged.
How will the graph of the line change?
a. The new line will intersect the original line.
b. The new line will be parallel to the original line.
c. The new line will be the same as the original line.
d. The new line will be perpendicular to the original line.
____ 31. Solve: x 2 − 3x − 10 = −6
ÏÔ
¸Ô
a. ÔÌ −7, 4 Ô˝
b.
Ó
˛
ÏÔ
¸Ô
ÔÌÓ 7,− 4 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ −4, 1 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 4,− 1 Ô˝˛
d.
–1
d.
3m n
____ 32. Given:
7x + y = −6
6x − 2y = −8
What is the value of x?
a. –2
b.
Ê
ˆÊ
0
c.
1
c.
3m n
ˆ
____ 33. Simplify: ÁÁÁÁ m 9 n 6 ˜˜˜˜ ÁÁÁÁ 3m 4 n 10 ˜˜˜˜
Ë
¯Ë
¯
a.
13 16
b.
3m n
15 14
3m n
36 60
14 15
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $3.87 to mail a 3-pound
box. How much would it cost to mail a 10-pound box?
$18.51
b. $12.90
c. $16.41
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (3k − 4) ÁÁÁÁ 2k 2 + 5k + 2 ˜˜˜˜
3
2
a.
6k − 14k − 20k − 8
b.
6k − 8k − 20k − 8
3
2
3
2
3
2
c.
6k − 8k − 14k − 8
d.
6k + 7k − 14k − 8
6
$11.44
Name: ________________________
ID: C
____ 36. Each year, Cathy invests $1,300 in her account. The account pays an interest rate of 6.1%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 47 years?
a. $324,000
b. $344,000
c. $345,000
d.
$339,000
____ 37. The endpoints of AC are A ÁÊË −5, 1 ˜ˆ¯ and C ÁÊË 3, 7 ˜ˆ¯ . What are the coordinates of the midpoint?
a. (1, −4)
b. (4, 3)
c. (−1, 4)
d. (1, −3)
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
–x – 3y = 20
b.
–3x – y = 4
c.
7
x – 3y = –16
d.
–3x + y = 4
Name: ________________________
ID: C
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 250
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 250
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˙˘
275 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
˙˘
200 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
200 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˙˘
275 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 4 boys
and 3 girls were absent. On Tuesday, 4 boys and 5 girls were absent. On Wednesday, 2 boys and 5 girls
were absent. On Thursday, 5 boys and 5 girls were absent. On Friday, 5 boys and 2 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 4 4 2 5 5 ˙˙˙˙˙
ÍÍÍÍ 3 4 2 5 5 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 3 5 5 5 2 ˙˚
ÍÎ 4 5 5 5 2 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
5
5
2
4
4
2
4
2
5
5
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 5 5 5 5 2 ˙˙˙˙˚
ÍÎ 2 5 5 5 3 ˙˙˚
8
Name: ________________________
ID: C
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 30
20
20 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 20
15
30 ˙˙˙˚
In May and June his sales are a fifth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
ÍÈÍÍ
˙˙˙˘
ÍÈÍÍ
˙˙˙˘
May ÍÍÍÍ 150
20
20 ˙˙˙˙
May ÍÍÍÍ 150
100
100 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
15
30 ˙˚
75
150 ˙˙˙˚
June ÍÎ 100
June ÍÎ 100
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˙˙˙˘
ÍÍÍ
˙˙˙
ÍÍÍ
May ÍÍ 6
4
4 ˙˙
May ÍÍ 6
20
20 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
3
6 ˙˙˙˚
15
30 ˙˙˙˚
June ÍÍÍÎ 4
June ÍÍÍÎ 4
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
−5
−4 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 1
a.
–1
b.
6
˘˙˙ ÈÍÍ
˙ Í
r ˙˙˙˙ ÍÍÍÍ 3
˙˙˙ + ÍÍÍ
˙ Í
5 ˙˙˙˚ ÍÍÍÎ −3
c. 5
˘˙˙ ÈÍÍ
˙ Í
1 ˙˙˙˙ ÍÍÍÍ −9
˙˙˙ = ÍÍÍ
˙ Í
3 ˙˙˙˚ ÍÍÍÎ −1
˘˙˙
˙
8 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˚
d.
–5
____ 43. The equation y = 329.74x + 2443 represents the value of a work of art from 1964 to 2005. What does the
number 329.74 represent?
value of the work of art in 2005
the yearly increase in value
a.
b.
c.
d.
value of the work of art in 1964
the yearly decrease in value
____ 44. A computer is purchased for $594 and depreciates at $40 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 40 (594 − t )
c.
V = 40t
d.
a.
b.
V = 594 − 40t
V = 40t − 594
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1200 feet?
a. 11 seconds
b. 4 seconds
c. 10 seconds
d. 9 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $30 to join and then $20 per book. The
second club costs $30 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 1
b. 3
c. 7
d. 9
____ 47. A group of 2 children and 6 adults pay a total of $170 to take a karate class. A group of 2 children and 2
adults take the same karate class for $110. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $55
b. $40
c. $70
d. $15
9
Name: ________________________
ID: C
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the y-intercept becomes positive
c.
d.
the y-intercept becomes negative
the slope would become positive
____ 49. The Outboard Motor Company can produce 13 motors in 15 weeks. Assuming a direct variation, how many
motors can the company produce in 30 weeks?
31 motors
b. 56 motors
c.
a.
d.
46 motors
26 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 + 0.05)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 5%
The value of the car is increasing by 5%
The value of the car is increasing by 95%
The value of the car is decreasing by 95%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 6c 9 b 5 − 6c 3 b 6 − 9c 6 b 9 ˜˜˜˜ ?
Ë
a.
9
3c b
6
b.
3
3c b
5
¯
c.
9
3c b
9
6
d.
3c b
d.
2
6
____ 52. Simplify:
Ê
Ê
3ˆ
3
3ˆ
2m − ÁÁÁÁ m − n ˜˜˜˜ − 2 ÁÁÁÁ −3m + n ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
3
6m + m − n
3
7m − n
3
3
3
c.
d.
7m + n
c.
2
3
3
−6m − m + n
3
____ 53. What is the length of AB ?
a.
58
b.
5
2
17
10
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = 1 x+ 4 represents 12th
2
Ê
Á
Street. What is the equation representing Avenue J if it passes through the point Ë −2,− 5 ˜ˆ¯ ?
a. y = 1 x – 4
b. y = 1 x – 9
c. y = −2x – 4
d. y = −2x – 9
2
2
10
Name: ________________________
ID: C
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $6. 00
$7. 50
$6. 50
$6. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $9. 50
$10. 75 $12. 25 $11. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14. 25 $14. 25 $12. 00 $12. 00 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 3 large pizzas and 3 medium pizzas. Which pizza shop will charge the least for the
order?
a. Sal's
b. John's Pizza
c. Alfredo's
d. Romero's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
14
12 ˙˙˙˙
15
Team 1 ÍÍÍÍ 20
Team 1 ÍÍÍÍ 18
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
19
10 ˙˚
20
Team 2 ÍÎ 16
Team 2 ÍÎ 12
What is the total number of wins by Team 2 for these two seasons?
a. 22
b. 39
c. 38
d. 28
Ties
˘˙˙
˙
15 ˙˙˙˙
˙˙˙
˙
12 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $9.11
$12.42 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $8.58
$13.00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $8.05
$13.45 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $7.48
$13.97 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $6.91
$14.53 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages increased, while college degree generally wages decreased.
b. both groups showed an overall increase in hourly wages
c. high school diploma wages decreased, while college degree generally wages increased.
d. both groups showed an overall decrease in hourly wages
11
Name: ________________________
ID: C
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2.5
2
3.5
3
5
4.5
5.5
Visit (in
hours)
Cost of
$74
$87
$85
$91
$94
$110
$52
Visit
The equation of the line of best fit for the data is y = 11.31x + 70.98. What does the value of y represent?
a. hourly rate
c. flat fee
b. length of visit
d. cost of a visit
____ 59. An amusement park charges $12 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 6 times on a roller coaster. Her total payment was $36. Maria rode 13 times on a roller
coaster. What was her total payment?
a. $36
b. $40
c. $64
d. $60
____ 60. Which equation describes the function below?
x
–3
6
4
5
a.
2
y = −2x + 133
b.
2
y = 3x + 8
c.
y
35
116
56
83
y = −2x + 128
d.
y = 3x + 44
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $275. How many 5-dollar bills
does Carol have?
25
a.
b.
30
c.
5
d.
20
____ 62. In 2000 Jim planted a tree that was 5 3 feet tall. In 2003 the tree was 15 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 10 3 feet per year
c. 10 1 feet per year
4
4
1
3
b. 3 feet per year
d. 3 feet per year
4
4
2
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.571 (1.59) , where x is the number of years after 1985. In what year were there approximately 23
thousand cell phones?
a. 1989
b. 1991
c. 1993
d. 1987
____ 64. Given:
8x − 2y = −12
6x + 5y = 4
What is the value of y?
a. –1
b.
2
c.
12
–3
d.
1
ID: C
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: B
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
B
D
D
D
C
B
C
C
C
B
D
D
A
B
D
B
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: C
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
C
C
A
B
A
B
C
D
B
A
C
D
B
B
A
D
D
B
D
C
D
C
B
C
B
C
B
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: D
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
80n
2n
a.
____
40n
c.
78n
3
d.
40n
1.4
330
b.
120
11
22
15
c.
d.
900
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 32m 8 n 5 + 4m 4 n 8 − 12m 6 n 10 ˜˜˜˜ ?
Ë
a.
____
b.
3
2. If y varies directly as x, and y = 4 when x = 60, then what is the value of x when y = 22?
a.
____
78n
1.4
11
8
6 8
4m n
b.
8 10
4m n
c.
¯
4 5
d.
4m n
10 8
4m n
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 5 years was $17,717.09. What is the balance at the end of 8 years?
a. $22,078.72
b. $20,218.14
c. $19,347.51
d. $18,514.36
____
5. On a map, Luis’s house is located at ÊÁË −5, 4 ˆ˜¯ and Melvin’s house is at ÊÁË 2, 6 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(3.5, 1)
b. (1.5, –5)
c. (–1.5, 5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÈÍÍ
˘˙˙
Í
˙
Belts ÍÍÍÍ 1059 1070 1066 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1053 1065 1002 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1093 1123 1056 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1159 1113 1172 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. hats
b. pants
c. shirts
d.
____
(1.5, –1)
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
−7 4 −5 ˙˙
−6
X = ÍÍÍÍÍ
˙˙˙
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÍÍ
˙˙˙
5 ˙˚
ÍÎ −5
ÍÎ 6 8
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ −1 −1 −2 ˙˙˙˙˙
ÍÍÍ −13 9 −8 ˙˙˙˙˙
ÍÍ
1
˙˙˙
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
c. ÍÍÍÍÍ 1
˙
˙
ÍÍÍ
˙˙
ÍÍ
˙˙
ÍÍ
˙
Í
˙
Í
5 ˙˚
3
5 ˙˚
ÍÎ 11 13
ÍÎ 1
ÍÎ −11 −13
1
5
−5
belts
˘˙˙
˙
−3 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
˙˘˙˙
2 ˙˙˙˙
˙˙˙ d.
˙
−5 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ 13
ÍÍÍÍ
ÍÍÍ
ÍÎ −1
−9
−3
˙˘˙˙
8 ˙˙˙˙
˙˙˙
˙
−5 ˙˙˙˚
Name: ________________________
____
ID: D
8. A caterer’s recipes are each designed to make 7 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 5
Eggs
5
3 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 2
1
1 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
5
6 ˙˙˙˙
Sugar (cups) ÍÍ 4
Î
˚
How much flour is needed to make 70 servings of bread and 70 servings of cake?
a. 30
b. 90
c. 9
d. 3
____
ÍÈÍÍ
˙˘
ÍÍÍ −1 −3 −3 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
3
0 ˙˙˙˚
ÍÎ 3
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ −6
ÍÍ −13
˙˙˙
2
7
a. ÍÍÍÍ
˙˙˙˙ b. ÍÍÍÍÍ
ÍÍÍ
ÍÍÍ
˙˙
ÍÎ 18
ÍÎ −42 −17 −40 ˙˙˚
ÍÈÍÍ
ÍÍÍ −2
ÍÍÍ
ÍÍÍ
ÍÍÎ −6
22
−7
−2
−1
˙˘˙˙
17 ˙˙˙˙
˙˙˙
˙
40 ˙˙˙˚
˙˘˙˙
−1 ˙˙˙˙
˙˙˙ . What is –5Y+ 4X?
˙
−8 ˙˙˙˚
ÍÈÍÍ
˙˘
ÍÍÍ 6 −2 −7 ˙˙˙˙˙
˙˙˙
c. ÍÍÍÍ
d.
˙˙˙
ÍÍÍ
˙
ÍÎ 42 17 40 ˙˚
ÍÈÍÍ
ÍÍÍ 13
ÍÍÍ
ÍÍÍ
ÍÍÎ −18
−22
7
˙˘˙˙
−17 ˙˙˙˙
˙˙˙
˙
−40 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
58o
23o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
57o
52o
49o
47o
43o
42o
o
o
o
o
o
Avg. Temp
16
25
30
31
35
44o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 0.9o
b. 0.3o
c. 1.5o
d. 1.3o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 6% has a principal of $270,000. If no more deposits or withdrawals
are made, about how much money will be in the account after seven years?
a. $406,700
b. $405,200
c. $407,500
d. $406,000
____ 12. Given:
8x + 2y = 8
8x + 3y = −12
What is the value of x – y?
a. 26
b. –14
c.
6
d.
–20
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 93 feet per second is
2
given by the formula h(t) = −16t + 93t , where t is the time in seconds. What is the height of the object after 4
seconds?
a. 395 ft
b. 302 ft
c. 209 ft
d. 116 ft
____ 14. A taxi ride cost $7.70. The driver charged $4 plus $0.10 per 0.8 mile traveled. How far did the taxi travel on
this trip?
30.7 miles
a.
b.
37 miles
c.
2
29.6 miles
d.
40.7 miles
Name: ________________________
ID: D
____ 15. The average price of a movie ticket in the year 1990 was $5.43. The average price of a movie ticket in the
year 2002 was $15.03. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2020?
a. $29.43
b. $20.46
c. $24.63
d. $7.83
____ 16. What is the value of y in the system of equations below?
5x + 5y = 5
a.
–16
b.
17
c.
5
y = − x−3
4
–33
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
1
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.5. What was the approximate speed of the car if it created skid
marks 194 ft long?
a. 34 mph
b. 54 mph
c. 27 mph
d. 15 mph
____ 18. Multiply: (−m + 15) (−m + 12)
a. m2+ 180
b. m2– 27m+ 180
c.
d.
–2m2+ 27
–2m2– 27m+ 27
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 8, and the
amount of space between rows is 4, what is the approximate rate of water flow that will result in a precipitation
rate of 20?
a. 6.6
b. 0.4
c. 2.4
d. 9.6
____ 20. At the airport, the new runway will be perpendicular to a nearby highway. On a scale drawing of the airport,
2
5
the equation that represents the highway is − x + y = 3. Which equation could represent the new runway?
5
3
a. –6x + 25y = 1
b. 25x + 6y = –16
c. 25x – 6y = 16
d. 6x + 25y = –9
____ 21. The midpoint of XY is point MÊÁË 4,− 8 ˆ˜¯ . If the coordinates of X are ÊÁË −4, 8 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË 12, 0 ˆ˜¯
b. ÊÁË 0, 0 ˆ˜¯
c. ÊÁË 0,− 24 ˆ˜¯
d. ÊÁË 12,− 24 ˆ˜¯
3
Name: ________________________
ID: D
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.1
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
b.
This Week
2.2
5
6.2
Last Week
ÍÈ
6-month ÍÍÍÍ 2.4
ÍÍÍ
Í
12-month ÍÍÍÍ 3
ÍÍÍ
Í
30-month ÍÍÍÍ 6.2
Î
2.2
5
6.2
Year Ago c.
˘˙
2.4 ˙˙˙˙
˙˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.4
ÍÍÍ
Í
12-month ÍÍÍÍ 2.2
ÍÍÍ
Í
30-month ÍÍÍÍ 2.1
Î
Year Ago d.
˙˘
2.1 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Year Ago
˘˙
6.2 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
3
5
5
Last Week
ÍÈ
6-month ÍÍÍÍ 2.1
ÍÍÍ
Í
12-month ÍÍÍÍ 2.2
ÍÍÍ
Í
30-month ÍÍÍÍ 2.4
Î
Year Ago
˙˘
7 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
5
5
3
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 16 17 ˙˙˙˙
ages 2-5 ÍÍÍÍ 14 15 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 18 17 ˙˙ Matrix M: ages 6-10 ÍÍ 14 12 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 15 11 ˙˙˙˙
ages 11-15 ÍÍÍÍ 17 17 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÍÍÍ −2 −2 ˙˙˙˙˙
ÍÍÍ 2
ÍÍÍ −30 32 ˙˙˙˙˙
ÍÍÍ 30
2 ˙˙˙˙
−32 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
5 ˙˙˙˙
32
29
−32
−29
a. ÍÍÍÍÍ −4 −5 ˙˙˙˙˙
b. ÍÍÍÍÍ 4
c.
d.
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 2
ÍÍÍ −2 −6 ˙˙˙
ÍÍÍ 32
ÍÍÍ −32 −28 ˙˙˙˙˙
6 ˙˙˙
28 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
ÍÍÍ
____ 24. Simplify: 6 ÍÍÍÍÍ −9
ÍÍÍ
ÍÎ 9
˘˙
ÍÈÍÍ
ÍÍÍ 45 10 ˙˙˙˙˙
˙˙˙
a. ÍÍÍÍ
˙˙˙
ÍÍÍ
˙˙˚
60
59
ÍÎ
˘˙˙ ÈÍÍ
˙ Í
1 ˙˙˙˙ ÍÍÍÍ −9
˙˙˙ + ÍÍÍ
˙ Í
9 ˙˙˙˚ ÍÍÍÎ −6
b.
˘˙˙
˙
−4 ˙˙˙˙
˙˙˙
˙
−5 ˙˙˙˚
ÈÍÍ
ÍÍÍ
ÍÍÍ 63
ÍÍÍ
ÍÍÍ −48
Î
˙˘˙˙
−2 ˙˙˙˙
˙˙˙
˙
−49 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ −63
ÍÍÍÍ
ÍÍÍ
ÍÎ 48
˙˘˙˙
2 ˙˙˙˙
˙˙˙
˙
49 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −45
ÍÍÍÍ
ÍÍÍ
ÍÎ −60
˙˘˙˙
−10 ˙˙˙˙
˙˙˙
˙
−59 ˙˙˙˚
Name: ________________________
ID: D
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
639
732
849
873
929
1026
1098
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 840
b. 1000
c. 1080
d. 920
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 4.2x + 18.8, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the improvement in typing speed per week for the average student
b. the highest typing speed recorded
c. the typing speed of a student with no experience
d. the average typing speed of the students
____ 27. Suppose a ball is dropped from a height of 7 meters and bounces to 85% of its previous height after each
n
bounce. Using the formula h = 7 (0.85) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 5th
bounce?
a. 3.25 meters
b. 3.11 meters
c. 3.51 meters
d. 2.99 meters
____ 28. Martha has $271. She needs $2100 to start an account. She earns $50 per day working, of which she saves
$30. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2100?
a. 2100 = 50d + 271
c. 2100 = 30d + 271
b. 2100 = 50d − 271
d. 2100 = 30d − 271
____ 29. Maria sells paintings in an art gallery. She earns $275 each week plus a commission equal to 2% of her
sales. This week her goal is to earn at least $679. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $18,700
b. $20,200
c. $18,200
d. $19,200
5
Name: ________________________
ID: D
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will be perpendicular to the original line.
b. The new line will be the same as the original line.
c. The new line will be parallel to the original line.
d. The new line will not intersect the original line.
____ 31. Solve: x 2 − 7x + 7 = −3
ÏÔ
¸Ô
a. ÔÌ −2,− 5 Ô˝
Ó
˛
b.
ÏÔ
¸Ô
ÔÌÓ 2, 5 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ −4,− 4 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 4, 4 Ô˝˛
d.
–8
d.
−2m n
____ 32. Given:
5x − y = −12
3x − 4y = 20
What is the value of x?
a. 4
b.
Ê
ˆÊ
–4
c.
–12
c.
−2m n
ˆ
____ 33. Simplify: ÁÁÁÁ 2m n 9 ˜˜˜˜ ÁÁÁÁ −m 8 n 4 ˜˜˜˜
Ë
¯Ë
¯
a.
10 12
b.
−2m n
8 36
−2m n
9 13
12 10
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.68 to mail a 6-pound
box. How much would it cost to mail a 15-pound box?
$15.40
b. $10.68
c. $11.70
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (4r − 5) ÁÁÁÁ 5r 2 + 4r − 3 ˜˜˜˜
3
2
3
2
c.
20r − 9r − 32r + 15
3
2
d.
20r − 25r − 20r + 15
a.
20r − 32r − 20r + 15
b.
20r − 25r − 32r + 15
6
3
2
$14.05
Name: ________________________
ID: D
____ 36. Each year, Cathy invests $1,900 in her account. The account pays an interest rate of 4.8%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 49 years?
a. $353,000
b. $365,000
c. $371,000
d.
$373,000
____ 37. The endpoints of AC are A ÁÊË −1, 2 ˜ˆ¯ and C ÁÊË 8, 7 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
9 5
( , )
2 2
b.
7 9
( , )
2 2
c.
7 5
(− , − )
2 2
d.
7 9
(− , − )
2 2
d.
x – 2y = 1
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
–2x – y = –8
b.
–x – 2y = –12
c.
7
–2x + y = 14
Name: ________________________
ID: D
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˘˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Newspapers
˘˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˘˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 4 girls were absent. On Tuesday, 2 boys and 5 girls were absent. On Wednesday, 5 boys and 2 girls
were absent. On Thursday, 5 boys and 5 girls were absent. On Friday, 3 boys and 4 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 2 2 5 5 3 ˙˙˙˙˙
ÍÍÍÍ 4 2 5 5 3 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 4 5 2 5 4 ˙˚
ÍÎ 2 5 2 2 4 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
5
2
5
5
3
3
5
5
2
2
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 4 5 2 5 4 ˙˙˙˙˚
ÍÎ 2 5 2 5 4 ˙˙˚
8
Name: ________________________
ID: D
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 21
15
27 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 24
33
9 ˙˙˙˚
In May and June his sales are a third of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˙˙˙˘
Í
˙
Í
May ÍÍÍÍ 63
15
27 ˙˙˙˙
May ÍÍÍÍ 7
15
27 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
33
9 ˙˚
33
9 ˙˙˙˚
June ÍÎ 72
June ÍÎ 8
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 7
5
9 ˙˙
May ÍÍ 63
45
81 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
11
3 ˙˙˙˚
99
27 ˙˙˙˚
June ÍÍÍÎ 8
June ÍÍÍÎ 72
____ 42. What value of x makes the equation true?
ÈÍÍ
ÍÍÍ
−4
3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 2
a.
–13
b.
–17
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
x ˙˙
−3
˙˙˙ − 4 ÍÍÍÍÍ
ÍÍÍ
˙˙˙
−3 ˙˚
ÍÎ 5
c. –1
˘˙˙ ÈÍÍ
˙ Í
3 ˙˙˙˙ ÍÍÍÍ −3
˙˙˙ = ÍÍÍ
˙ Í
−4 ˙˙˙˚ ÍÍÍÎ 3
˘˙˙
˙
−7 ˙˙˙˙
˙˙˙
˙
−5 ˙˙˙˚
d.
–7
____ 43. The equation y = 448.58x + 4839 represents the value of a work of art from 1964 to 2005. What does the
number 448.58 represent?
the yearly increase in value
the yearly decrease in value
a.
b.
c.
d.
value of the work of art in 1964
value of the work of art in 2005
____ 44. A computer is purchased for $657 and depreciates at $20 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 20t
c.
V = 20t − 657
d.
a.
b.
V = 657 − 20t
V = 20 (657 − t )
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 600 feet?
a. 8 seconds
b. 7 seconds
c. 6 seconds
d. 11 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $50 to join and then $15 per book. The
second club costs $20 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 4
b. 10
c. 6
d. 16
____ 47. A group of 3 children and 4 adults pay a total of $190 to take a karate class. A group of 4 children and 2
adults take the same karate class for $110. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $43
b. $49
c. $92
d. $6
9
Name: ________________________
ID: D
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if m is multiplied by -1 and b remains
the same?
a. the y-intercept becomes negative
b. the slope would become negative
c.
d.
the y-intercept becomes positive
the slope would become positive
____ 49. The Outboard Motor Company can produce 19 motors in 13 weeks. Assuming a direct variation, how many
motors can the company produce in 26 weeks?
43 motors
b. 28 motors
c.
a.
d.
33 motors
38 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 + 0.15)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 85%
The value of the car is increasing by 15%
The value of the car is decreasing by 85%
The value of the car is decreasing by 15%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 21e 10 d 7 + 63e 8 d 8 − 21e 9 d 9 ˜˜˜˜ ?
Ë
a.
8 7
b.
21e d
10 9
21e d
¯
c.
9 8
d.
21e d
9 8
21e d
____ 52. Simplify:
Ê
Ê 2
2ˆ
2ˆ
−3a − 3 ÁÁÁÁ −a + 3b ˜˜˜˜ − 3 ÁÁÁÁ −a − b ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
2
−3a + 0a + 6b
2
3a + 0a − 6b
2
2
2
2
2
2
c.
d.
3a − 6b
c.
17
3a + 6b
____ 53. What is the length of AB ?
a.
29
b.
29
d.
17
____ 54. On a map of downtown, 12th Street is parallel to Avenue J. The equation y = − 1 x+ 8 represents 12th Street.
2
Ê
Á
What is the equation representing Avenue J if it passes through the point Ë 2,− 4 ˜ˆ¯ ?
a. y = 2x – 8
b. y = − 1 x – 8
c. y = 2x – 3
d. y = − 1 x – 3
2
2
10
Name: ________________________
ID: D
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $9. 00
$7. 50
$6. 00
$6. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $11. 25 $9. 00
$9. 25
$12. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $13. 50 $13. 25 $12. 00 $14. 25 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 4 large pizzas and 3 medium pizzas. Which pizza shop will charge the least for the
order?
a. Sal's
b. Alfredo's
c. Romero's
d. John's Pizza
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
11
17 ˙˙˙˙
20
Team 1 ÍÍÍÍ 20
Team 1 ÍÍÍÍ 14
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
13
16 ˙˚
14
Team 2 ÍÎ 13
Team 2 ÍÎ 20
What is the total number of wins by Team 2 for these two seasons?
a. 32
b. 34
c. 27
d. 33
Ties
˘˙˙
˙
12 ˙˙˙˙
˙˙˙
˙
16 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.69
$14.75 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $9.17
$15.33 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $9.62
$15.88 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $10.07 $16.39 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $10.55 $16.86 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages decreased, while college degree generally wages increased.
b. high school diploma wages increased, while college degree generally wages decreased.
c. both groups showed an overall increase in hourly wages
d. both groups showed an overall decrease in hourly wages
11
Name: ________________________
ID: D
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
2.5
4
3
4.5
5
6
Visit (in
hours)
Cost of
$71
$90
$80
$98
$94
$111
$54
Visit
The equation of the line of best fit for the data is y = 12.62x + 61.99. What does the value of x represent?
a. cost of a visit
c. flat fee
b. length of visit
d. hourly rate
____ 59. An amusement park charges $17 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 10 times on a roller coaster. Her total payment was $47. Maria rode 6 times on a roller
coaster. What was her total payment?
a. $29
b. $53
c. $35
d. $47
____ 60. Which equation describes the function below?
x
–1
6
4
5
a.
b.
y = 4x + 16
y = −2x + 164
c.
y
12
152
72
108
2
y = −2x + 158
d.
2
y = 4x + 8
____ 61. Carol has three times as many 10-dollar bills as 5-dollar bills. She has a total of $280. How many 5-dollar
bills does Carol have?
8
b.
a.
32
c.
16
d.
24
____ 62. In 2000 Jim planted a tree that was 3 3 feet tall. In 2006 the tree was 36 3 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 5 feet per year
c. 5 1 feet per year
2
1
b. 33 feet per year
d. 33 feet per year
2
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.446 (1.68) , where x is the number of years after 1985. In what year were there approximately 28
thousand cell phones?
a. 1993
b. 1995
c. 1989
d. 1991
____ 64. Given:
4x − y = 6
6x − 4y = −16
What is the value of y?
a. –6
b.
14
c.
12
10
d.
4
ID: D
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: D
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
D
A
A
C
B
C
B
C
B
A
B
B
C
C
C
D
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: D
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
B
A
A
B
D
A
C
C
B
B
D
D
B
A
B
A
D
C
D
C
B
C
D
A
C
A
C
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: E
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
44x
2x
a.
____
42x
c.
22x
1.3
d.
22x
2
676
3
b.
130
104
5
c.
d.
90
13
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 40m 10 n 3 − 5m 6 n 6 − 10m 7 n 9 ˜˜˜˜ ?
Ë
a.
____
b.
1.3
2. If y varies directly as x, and y = 12 when x = 52, then what is the value of x when y = 30?
a.
____
42x
2
8
6
6 3
5m n
b.
10 9
5m n
c.
¯
7 6
5m n
d.
9 6
5m n
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.03)B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 6 years was $15,682.27. What is the balance at the end of 9 years?
a. $16,152.74
b. $18,725.45
c. $17,136.44
d. $16,637.32
____
5. On a map, Luis’s house is located at ÊÁË −8, 2 ˆ˜¯ and Melvin’s house is at ÊÁË 4, 6 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(–2, 4)
b. (2, –4)
c. (6, 2)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÈÍÍ
˘˙˙
Í
˙
Belts ÍÍÍÍ 1066 1084 1147 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1026 1002 1063 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1099 1102 1146 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1103 1180 1165 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. pants
b. belts
c. hats
d.
____
(2, –2)
shirts
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
−3
3 −6 ˙˙
−7 −8 7 ˙˙˙˙
X = ÍÍÍÍÍ
˙˙˙
Y = ÍÍÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙
˙
2 ˙˙˙˚
8 7 ˙˙˙˚
ÍÎ −4
ÍÎ 8 −2
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘˙˙
ÍÍÍ 10
˙˙˙
ÍÍÍ −10 −5 1 ˙˙˙˙˙
ÍÍÍ −4
˙˙˙
5
−1
−11
13
˙˙˙
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙˙ d.
˙
˙
ÍÍÍ
˙
˙˙˙
ÍÍÍÍ 4
˙˙˙˙
ÍÍÍÍ −12 10
6
9
5
ÍÎ −4 −6 −9 ˙˙˙˚
˙˚
Î
˚
Î
1
ÍÈÍÍ
ÍÍÍ 4
ÍÍÍ
ÍÍÍ
ÍÍÎ 12
11
−10
˙˘˙˙
−13 ˙˙˙˙
˙˙˙
˙
−5 ˙˙˙˚
Name: ________________________
____
ID: E
8. A caterer’s recipes are each designed to make 4 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 5
Eggs
2
1 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 5
5
4 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1
1 ˙˙˙˙
Sugar (cups) ÍÍ 4
Î
˚
How much flour is needed to make 40 servings of bread and 40 servings of cake?
a. 10
b. 5
c. 50
d. 100
____
ÍÈÍÍ
˙˘
ÍÍÍ 8 −3 −7 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
7 ˙˙˙˚
ÍÎ −3 −9
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ −36
˙˙˙
Í
7
17
˙˙˙ b. ÍÍÍÍÍ 36
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙
ÍÍÎ −21
33 −25 ˙˙˙˚
ÍÎ 21
ÍÈÍÍ
ÍÍÍ −6
ÍÍÍ
ÍÍÍ
ÍÍÎ 6
˙˘˙˙
−2 ˙˙˙˙
˙˙˙ .
˙
3 −2 ˙˙˙˚
˘˙˙
˙
−7
−17 ˙˙˙˙
˙˙˙ c.
˙
−33 25 ˙˙˙˚
−1
What is –2Y+ 3X?
ÍÈÍÍ
ÍÍÍ 2
ÍÍÍÍ
ÍÍÍ
ÍÎ 3
−11
−21
˙˘˙˙
−25 ˙˙˙˙
˙˙˙
˙
17 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −2
ÍÍÍÍ
ÍÍÍ
ÍÎ −3
11
21
˙˘˙˙
25 ˙˙˙˙
˙˙˙
˙
−17 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
57o
18o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
60o
53o
49o
47o
43o
41o
o
o
o
o
o
Avg. Temp
19
25
28
34
36
45o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.3o
b. 1.2o
c. 0.6o
d. 1.5o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 2% has a principal of $420,000. If no more deposits or withdrawals
are made, about how much money will be in the account after five years?
a. $463,700
b. $455,400
c. $460,600
d. $463,100
____ 12. Given:
5x − 4y = 11
5x − 3y = −13
What is the value of x – y?
a. –17
b. –41
c.
7
d.
–24
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 68 feet per second is
2
given by the formula h(t) = −16t + 68t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 4 ft
b. 140 ft
c. 72 ft
d. 208 ft
____ 14. A taxi ride cost $7.60. The driver charged $3 plus $0.10 per 0.8 mile traveled. How far did the taxi travel on
this trip?
36.8 miles
a.
b.
46 miles
c.
2
49.1 miles
d.
35.7 miles
Name: ________________________
ID: E
____ 15. The average price of a movie ticket in the year 1993 was $4.08. The average price of a movie ticket in the
year 2001 was $5.44. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2018?
a. $6.80
b. $9.52
c. $4.00
d. $8.33
____ 16. What is the value of y in the system of equations below?
3x − 5y = 10
a.
6
b.
1
c.
3
y = − x+4
5
5
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
4
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.7. What was the approximate speed of the car if it created skid
marks 243 ft long?
a. 50 mph
b. 64 mph
c. 17 mph
d. 71 mph
____ 18. Multiply: (r − 12) (−2r + 15)
a. –2r2– 180
b. –2r2+ 39r– 180
c.
d.
–r2+ 39r+ 3
–r2+ 3
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 7, and the
amount of space between rows is 6, what is the approximate rate of water flow that will result in a precipitation
rate of 35?
a. 0.4
b. 2.4
c. 3.2
d. 15.3
____ 20. At the airport, the new runway will be perpendicular to a nearby highway. On a scale drawing of the airport,
the equation that represents the highway is −x +
a.
6x – 10y = –12
b.
–10x + 6y = 5
5
y = 7. Which equation could represent the new runway?
3
c. –10x – 6y = 15
d. –6x – 10y = 6
____ 21. The midpoint of XY is point MÊÁË 2, 9 ˆ˜¯ . If the coordinates of X are ÊÁË 0,− 7 ˆ˜¯ , what are the coordinates of Y?
a.
ÊÁ 4, 25 ˆ˜
Ë
¯
b.
ÊÁ 1, 25 ˆ˜
Ë
¯
c.
3
ÊÁ 4, 1 ˆ˜
Ë
¯
d.
ÊÁ 1, 1 ˆ˜
Ë
¯
Name: ________________________
ID: E
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.3
ÍÍÍ
Í
12-month ÍÍÍÍ 2.3
ÍÍÍ
Í
30-month ÍÍÍÍ 2.6
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.3
ÍÍÍ
Í
12-month ÍÍÍÍ 3.8
ÍÍÍ
Í
30-month ÍÍÍÍ 5
Î
Last Week
3.8
4.2
4.2
Last Week
2.3
4.2
6.6
Year Ago c.
˘˙
5 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 4.2
ÍÍÍ
Í
30-month ÍÍÍÍ 5.4
Î
Year Ago d.
˙˘
2.6 ˙˙˙˙
˙˙˙
˙
4.2 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.3 ˙˙˙˙
˙˙˙
˙
3.8 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
2.3
4.2
6.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 2.3
ÍÍÍ
Í
30-month ÍÍÍÍ 2.3
Î
Year Ago
˙˘
5.4 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
4.2
4.2
3.8
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 13 12 ˙˙˙˙
ages 2-5 ÍÍÍÍ 14 13 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 11 13 ˙˙ Matrix M: ages 6-10 ÍÍ 11 14 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 18 13 ˙˙˙˙
ages 11-15 ÍÍÍÍ 15 10 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÍÍÍ 1
ÍÍÍ −27 25 ˙˙˙˙˙
ÍÍÍ 27
ÍÍÍ −1 −1 ˙˙˙˙˙
1 ˙˙˙˙
−25 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
1 ˙˙˙˙
22
27
−
22
−
27
0
−
1
a. ÍÍÍÍÍ 0
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −3 −3 ˙˙˙
ÍÍÍ 33
ÍÍÍ −33 −23 ˙˙˙
ÍÍÍ 3
23 ˙˙˙
3 ˙˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
9
−
3
−
7
8
˙˙˙
˙˙˙˙ + 3 ÍÍÍÍ
____ 24. Simplify: −6 ÍÍÍÍÍ
˙˙
˙˙˙
ÍÍ
ÍÍÍ
Í
ÍÍÎ 6 9 ˙˙˙˙˚
5 ˙˙˚
ÍÎ 4
ÈÍÍ
ÍÈÍÍ
˙˘
ÍÍÍ
ÍÍÍ 75 −42 ˙˙˙˙˙
ÍÍÍ −75
˙˙˙
a. ÍÍÍÍ
b.
ÍÍÍ
˙˙˙
ÍÍÍÍ 6
ÍÍÍ −6
3 ˙˙˚
Î
Î
˙˘˙˙
42 ˙˙˙˙
˙˙˙
˙
−3 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ −15
ÍÍÍÍ
ÍÍÍ
ÍÎ −42
˙˘˙˙
−6 ˙˙˙˙
˙˙˙
˙
−57 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 15
ÍÍÍÍ
ÍÍÍ
ÍÎ 42
˙˘˙˙
6 ˙˙˙˙
˙˙˙
˙
57 ˙˙˙˚
Name: ________________________
ID: E
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
594
731
801
879
940
929
1028
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 654
b. 734
c. 934
d. 534
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 4.2x + 16.1, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the highest typing speed recorded
b. the average typing speed of the students
c. the improvement in typing speed per week for the average student
d. the typing speed of a student with no experience
____ 27. Suppose a ball is dropped from a height of 9 meters and bounces to 85% of its previous height after each
n
bounce. Using the formula h = 9 (0.85) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 5th
bounce?
a. 3.87 meters
b. 3.99 meters
c. 4.13 meters
d. 3.61 meters
____ 28. Martha has $230. She needs $2200 to start an account. She earns $75 per day working, of which she saves
$65. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2200?
a. 2200 = 75d − 230
c. 2200 = 75d + 230
b. 2200 = 65d + 230
d. 2200 = 65d − 230
____ 29. Maria sells paintings in an art gallery. She earns $400 each week plus a commission equal to 3.25% of her
sales. This week her goal is to earn at least $612. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $5,000
b. $8,000
c. $6,500
d. $6,000
5
Name: ________________________
ID: E
____ 30. For the line graphed below, the x-intercept is changed to –3 and the slope is unchanged.
How will the graph of the line change?
a. The new line will intersect the original line.
b. The new line will be perpendicular to the original line.
c. The new line will be the same as the original line.
d. The new line will be parallel to the original line.
____ 31. Solve: x 2 + 4x − 1 = 31
ÏÔ
¸Ô
a. ÔÌ 4,− 8 Ô˝
Ó
˛
b.
ÏÔ
¸Ô
ÔÌÓ −4, 8 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ 7, − 6 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −7, 6 Ô˝˛
d.
–4
d.
8x y
____ 32. Given:
4x − 3y = −15
5x − 2y = −17
What is the value of x?
a. 1
b.
Ê
ˆÊ
–2
c.
–3
c.
8x y
ˆ
____ 33. Simplify: ÁÁÁÁ 2x5 y9 ˜˜˜˜ ÁÁÁÁ 4x 3 y 7 ˜˜˜˜
Ë
¯Ë
¯
a.
10 14
b.
8x y
15 63
8x y
8 16
14 10
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $3.93 to mail a 5-pound
box. How much would it cost to mail a 14-pound box?
$13.52
b. $9.93
c. $14.99
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (5r − 2) ÁÁÁÁ 3r 2 − 2r + 5 ˜˜˜˜
3
2
c.
15r − 6r + 29r − 10
3
2
d.
15r − 6r + 4r − 10
a.
15r + 29r + 4r − 10
b.
15r − 16r + 29r − 10
6
3
2
3
2
$11.00
Name: ________________________
ID: E
____ 36. Each year, Cathy invests $1,800 in her account. The account pays an interest rate of 5.8%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 40 years?
a. $274,000
b. $282,000
c. $262,000
d.
$271,000
____ 37. The endpoints of AC are A ÁÊË −7, 3 ˜ˆ¯ and C ÁÊË 2, 8 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
5 11
(− ,
)
2 2
b.
5 11
( ,− )
2
2
c.
9 5
( , )
2 2
d.
5 5
( ,− )
2 2
d.
2x – y = 10
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
–x + 2y = 18
b.
2x + y = 5
c.
7
x + 2y = –11
Name: ________________________
ID: E
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 275
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 275
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˙˘
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
˙˘
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
200 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˙˘
200 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 4 girls were absent. On Tuesday, 4 boys and 2 girls were absent. On Wednesday, 3 boys and 3 girls
were absent. On Thursday, 2 boys and 2 girls were absent. On Friday, 5 boys and 2 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 5 2 3 4 2 ˙˙˙˙˙
ÍÍÍÍ 2 4 3 2 5 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 2 2 3 2 4 ˙˚
ÍÎ 4 2 3 2 2 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
4
3
2
5
3
4
3
2
5
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 3 2 3 2 2 ˙˙˙˙˚
ÍÎ 2 2 3 3 2 ˙˙˚
8
Name: ________________________
ID: E
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 27
21
12 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 24
12
30 ˙˙˙˚
In May and June his sales are a third of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙
˙
May ÍÍÍÍ 9
21
12 ˙˙˙˙
May ÍÍÍÍ 81
21
12 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
12
30 ˙˚
12
30 ˙˙˙˚
June ÍÎ 8
June ÍÎ 72
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 9
7
4 ˙˙
May ÍÍ 81
63
36 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
4
10 ˙˙˙˚
36
90 ˙˙˙˚
June ÍÍÍÎ 8
June ÍÍÍÎ 72
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
−5
−3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 1
a.
–1
b.
–2
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
−4 ˙˙
−3
˙˙˙ − 2 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
r ˙˚
ÍÎ 3
c. 4
˘˙˙ ÈÍÍ
˙ Í
1 ˙˙˙˙ ÍÍÍÍ −8
˙˙˙ = ÍÍÍ
˙ Í
2 ˙˙˙˚ ÍÍÍÎ 9
˘˙˙
˙
4 ˙˙˙˙
˙˙˙
˙
−1 ˙˙˙˚
d.
6
____ 43. The equation y = 404.63x + 2627 represents the value of a work of art from 1964 to 2005. What does the
number 2627 represent?
value of the work of art in 2005
the yearly increase in value
a.
b.
c.
d.
the yearly decrease in value
value of the work of art in 1964
____ 44. A computer is purchased for $701 and depreciates at $45 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 45t
c.
V = 45t − 701
d.
a.
b.
V = 45 (701 − t )
V = 701 − 45t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1100 feet?
a. 6 seconds
b. 4 seconds
c. 8 seconds
d. 9 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $20 to join and then $10 per book. The
second club costs $15 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 8
b. 10
c. 2
d. 4
____ 47. A group of 4 children and 4 adults pay a total of $160 to take a karate class. A group of 3 children and 2
adults take the same karate class for $110. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $10
b. $40
c. $30
d. $50
9
Name: ________________________
ID: E
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become positive
b. the y-intercept becomes negative
c.
d.
the y-intercept becomes positive
the slope would become negative
____ 49. The Outboard Motor Company can produce 13 motors in 26 weeks. Assuming a direct variation, how many
motors can the company produce in 38 weeks?
19 motors
b. 24 motors
c.
a.
d.
34 motors
39 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.2) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 20%
The value of the car is decreasing by 80%
The value of the car is increasing by 80%
The value of the car is decreasing by 20%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 21a 7 f 3 − 7a 2 f 5 + 14a 4 f 6 ˜˜˜˜ ?
Ë
a.
2 3
b.
7a f
6 5
7a f
¯
c.
4 5
d.
7a f
7 6
7a f
____ 52. Simplify:
Ê
Ê 2
2ˆ
2ˆ
p − 2 ÁÁÁÁ p + 4q ˜˜˜˜ − 3 ÁÁÁÁ p − 2q ˜˜˜˜
Ë
¯
Ë
¯
2
2
a.
−4p + 2q
b.
−3p − p − 2q
2
2
2
2
c.
−4p − 2q
d.
3p + p + 2q
c.
5
2
2
____ 53. What is the length of AB ?
a.
97
b.
89
d.
17
____ 54. On a map of downtown, 12th Street is parallel to Avenue J. The equation y = − 1 x+ 13 represents 12th Street.
4
What is the equation representing Avenue J if it passes through the point ÊÁË 4, 2 ˆ˜¯ ?
a. y = − 1 x + 3
b. y = 4x + 3
c. y = 4x – 14
d. y = − 1 x – 14
4
4
10
Name: ________________________
ID: E
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $6. 50
$6. 00
$7. 50
$7. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $9. 00
$12. 00 $12. 25 $12. 25 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $12. 50 $13. 25 $12. 25 $12. 50 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 7 large pizzas and 4 medium pizzas. Which pizza shop will charge the least for the
order?
a. John's Pizza
b. Sal's
c. Alfredo's
d. Romero's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
20
13 ˙˙˙˙
17
Team 1 ÍÍÍÍ 17
Team 1 ÍÍÍÍ 18
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
16
19 ˙˚
16
Team 2 ÍÎ 16
Team 2 ÍÎ 18
What is the total number of wins by Team 2 for these two seasons?
a. 32
b. 34
c. 30
d. 35
Ties
˘˙˙
˙
15 ˙˙˙˙
˙˙˙
˙
11 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.21
$14.43 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $8.73
$15.01 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $9.28
$15.49 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $9.74
$15.95 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $10.23 $16.47 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall increase in hourly wages
b. both groups showed an overall decrease in hourly wages
c. high school diploma wages increased, while college degree generally wages decreased.
d. high school diploma wages decreased, while college degree generally wages increased.
11
Name: ________________________
ID: E
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2.5
3
3.5
4
4.5
5
5.5
Visit (in
hours)
Cost of
$58
$86
$83
$97
$99
$110
$69
Visit
The equation of the line of best fit for the data is y = 15.43x + 62.86. What does the y-intercept represent?
a. flat fee
c. hourly rate
b. cost of a visit
d. length of visit
____ 59. An amusement park charges $16 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 9 times on a roller coaster. Her total payment was $43. Maria rode 15 times on a roller
coaster. What was her total payment?
a. $37
b. $43
c. $61
d. $58
____ 60. Which equation describes the function below?
x
–2
3
5
7
a.
2
b.
y = x +8
y = 2x + 11
c.
y
12
17
33
57
y = x + 14
d.
2
y = 2x − 41
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $385. How many 5-dollar bills
does Carol have?
28
a.
b.
42
c.
35
d.
7
____ 62. In 2000 Jim planted a tree that was 5 1 feet tall. In 2006 the tree was 39 3 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 5 3 feet per year
c. 34 1 feet per year
4
2
1
b. 5 feet per year
d. 34 3 feet per year
2
4
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.568 (1.5) , where x is the number of years after 1985. In what year were there approximately 10
thousand cell phones?
a. 1990
b. 1994
c. 1992
d. 1986
____ 64. Given:
7x − 3y = −5
7x − 2y = −8
What is the value of y?
a. –3
b.
1
c.
12
–5
d.
–2
ID: E
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: D
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
A
B
A
B
B
C
B
B
C
D
A
C
C
D
B
B
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: E
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
A
A
B
C
B
B
D
D
C
D
B
B
A
D
A
B
A
A
B
B
A
A
C
A
D
A
C
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: F
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
16q
4q
a.
____
b.
12q
1.1
c.
4q
1.1
d.
12q
1
b.
20
800
9
81
20
c.
d.
80
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 30m 8 n 7 − 36m 4 n 8 − 6m 6 n 9 ˜˜˜˜ ?
Ë
a.
____
1
8
2. If y varies directly as x, and y = 18 when x = 40, then what is the value of x when y = 9?
a.
____
4q
9
9 8
6m n
b.
6 8
c.
6m n
¯
8 9
d.
6m n
4 7
6m n
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.06) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 9 years was $15,537.94. What is the balance at the end of 12 years?
a. $18,505.94
b. $17,458.43
c. $26,251.02
d. $16,470.22
____
5. On a map, Luis’s house is located at ÊÁË −5, 2 ˜ˆ¯ and Melvin’s house is at ÊÁË 8, 9 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(6.5, 3.5)
b. (–1.5, –5.5)
c. (–1.5, –3.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1049 1149 1091 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1050 1024 1086 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1072 1116 1144 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1114 1155 1164 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. pants
b. belts
c. hats
d.
____
(1.5, 5.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ 3
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ −3
−5
8
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙
ÍÍÍ
˙˙˙
ÍÍÍÍ 4 −4 −9 ˙˙˙˙˙
2
−
6
−
3
Í
˙
˙˙˙
˙˙˙ c.
a. ÍÍÍÍ
b. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
2 −2 ˙˚
ÍÎ −2
ÍÎ −4 14 −10 ˙˙˙˚
1
˙˘˙˙
−6 ˙˙˙˙
˙˙˙
˙
−6 ˙˙˙˚
ÈÍÍ
ÍÍÍ
ÍÍÍ −2
ÍÍÍ
ÍÍ 2
ÍÎ
ÍÈÍÍ
ÍÍ −1
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 1
6
−2
˘˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
2 ˙˙˙˚
−1
−6
shirts
˙˘˙˙
3 ˙˙˙˙
˙˙˙
˙
4 ˙˙˙˚
d.
ÈÍÍ
ÍÍÍ
ÍÍÍ −4
ÍÍÍ
ÍÍ 4
ÍÎ
4
−14
˘˙˙
˙
9 ˙˙˙˙
˙˙˙
˙
10 ˙˙˙˚
Name: ________________________
____
ID: F
8. A caterer’s recipes are each designed to make 6 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 3
Eggs
4
3 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 4
3
5 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
6
5 ˙˙˙˙
Sugar (cups) ÍÍ 2
Î
˚
How much sugar is needed to make 90 servings of bread and 90 servings of cake?
a. 7
b. 8
c. 120
d. 105
____
ÍÈÍÍ
˙˘˙˙
ÍÍÍ −1 −7
1 ˙˙˙˙
Í
9. Given X = ÍÍÍ
˙˙˙ and Y =
ÍÍÍ
˙
1 −8 ˙˙˙˚
ÍÎ −6
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ −11 −17
ÍÍ 13
˙˙˙
7
a. ÍÍÍÍ
˙˙˙˙ b. ÍÍÍÍÍ
ÍÍÍ
ÍÍÍ
˙
−28 ˙˙˙˚
ÍÎ 48
ÍÎ −12 15
ÍÈÍÍ
ÍÍÍ 3
ÍÍÍ
ÍÍÍ
ÍÍÎ −9
53
5
−9
−5
˙˘˙˙
−3 ˙˙˙˙
˙˙˙
˙
52 ˙˙˙˚
˙˘˙˙
−1 ˙˙˙˙
˙˙˙ . What is 2Y– 5X?
˙
−6 ˙˙˙˚
ÍÈÍÍ
˙˘˙˙
ÍÍÍ 11 17
˙˙˙
−
7
˙˙˙
c. ÍÍÍÍ
˙˙
ÍÍÍ
ÍÎ 12 −15 28 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −13
ÍÍÍÍ
ÍÍÍ
ÍÎ −48
−53
−5
˙˘˙˙
3 ˙˙˙˙
˙˙˙
˙
−52 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
55o
20o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
57o
54o
50o
48o
43o
41o
o
o
o
o
o
Avg. Temp
18
26
31
34
33
47o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.7o
b. 2o
c. 1.5o
d. 0.5o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 5% has a principal of $370,000. If no more deposits or withdrawals
are made, about how much money will be in the account after four years?
a. $450,200
b. $449,700
c. $444,800
d. $451,200
____ 12. Given:
6x + 2y = 10
6x − y = −14
What is the value of x – y?
a. –1
b. 8
c.
7
d.
–9
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 81 feet per second is
2
given by the formula h(t) = −16t + 81t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 341 ft
b. 17 ft
c. 98 ft
d. 179 ft
____ 14. A taxi ride cost $30.00. The driver charged $6 plus $0.60 per 0.8 mile traveled. How far did the taxi travel on
this trip?
40 miles
a.
b.
39.1 miles
c.
2
32 miles
d.
29.1 miles
Name: ________________________
ID: F
____ 15. The average price of a movie ticket in the year 1991 was $3.54. The average price of a movie ticket in the
year 2003 was $7.26. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2013?
a. $10.80
b. $10.98
c. $5.71
d. $10.36
____ 16. What is the value of y in the system of equations below?
5x + y = 19
a.
–1
b.
3
5
y = − x+4
4
c. 5
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
4
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.4. What was the approximate speed of the car if it created skid
marks 201 ft long?
a. 20 mph
b. 15 mph
c. 49 mph
d. 42 mph
____ 18. Multiply: (6m + 12) (m + 6)
a. 6m2+ 48m+ 72
b. 7m2+ 18
c.
d.
7m2+ 48m+ 18
6m2+ 72
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 8, and the
amount of space between rows is 7, what is the approximate rate of water flow that will result in a precipitation
rate of 30?
a. 2.8
b. 0.4
c. 17.4
d. 3.7
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
2
y = 4. Which equation could represent the new runway?
3
–2x + 3y = 19
c. –2x – 3y = 1
d. 3x – 2y = 3
equation that represents the highway is x +
a.
–3x – 2y = 4
b.
____ 21. The midpoint of XY is point MÊÁË 6, 10 ˆ˜¯ . If the coordinates of X are ÊÁË −4,− 6 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË 16, 26 ˆ˜¯
b. ÊÁË 16, 2 ˆ˜¯
c. ÊÁË 1, 26 ˆ˜¯
d. ÊÁË 1, 2 ˆ˜¯
3
Name: ________________________
ID: F
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 2.6
ÍÍÍ
Í
30-month ÍÍÍÍ 2.3
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.3
ÍÍÍ
Í
12-month ÍÍÍÍ 2.6
ÍÍÍ
Í
30-month ÍÍÍÍ 2.9
Î
Last Week
5
3.4
3.8
Last Week
3.8
3.4
5
Year Ago c.
˘˙
5.8 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.3
ÍÍÍ
Í
12-month ÍÍÍÍ 3.8
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
Year Ago d.
˙˘
7 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.9 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
2.6
3.4
5
Last Week
ÍÈ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 5.8
Î
Year Ago
˙˘
2.3 ˙˙˙˙
˙˙˙
˙
3.8 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
2.6
3.4
5
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 12 11 ˙˙˙˙
ages 2-5 ÍÍÍÍ 18 16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 13 13 ˙˙ Matrix M: ages 6-10 ÍÍ 13 16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 14 16 ˙˙˙˙
ages 11-15 ÍÍÍÍ 16 13 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÍÍÍ 6
ÍÍÍ −30 27 ˙˙˙˙˙
ÍÍÍ 30
ÍÍÍ −6 −5 ˙˙˙˙˙
5 ˙˙˙˙
−27 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
3 ˙˙˙˙
26
29
−26
−29
0
−3
a. ÍÍÍÍÍ 0
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 2 −3 ˙˙˙
ÍÍÍ 30
ÍÍÍ −30 −29 ˙˙˙
ÍÍÍ −2
29 ˙˙˙
3 ˙˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
−5
−5
−1
3
˙˙˙
˙˙˙˙ − 2 ÍÍÍÍ
____ 24. Simplify: −3 ÍÍÍÍÍ
˙˙
˙˙˙
ÍÍ
ÍÍÍ
Í
ÍÍÎ −3 3 ˙˙˙˙˚
6 ˙˙˚
ÍÎ 2
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘˙˙
ÍÍÍ 7
˙˙˙
ÍÍÍ 17
˙˙˙
21
9
˙˙˙
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
˙
˙˙˙
ÍÍÍ
ÍÍÍÍ −12 −12 ˙˙˙˙
˙˙˚
0
−24
ÍÎ
Î
˚
c.
4
ÍÈÍÍ
ÍÍÍ −7
ÍÍÍÍ
ÍÍÍ
ÍÎ 12
˙˘˙˙
−21 ˙˙˙˙
˙˙˙
˙
12 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −17
ÍÍÍÍ
ÍÍÍ
ÍÎ 0
˙˘˙˙
−9 ˙˙˙˙
˙˙˙
˙
24 ˙˙˙˚
Name: ________________________
ID: F
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
540
749
809
862
894
926
1019
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 1020
b. 980
c. 820
d. 940
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 3.3x + 16.4, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the average typing speed of the students
b. the improvement in typing speed per week for the average student
c. the highest typing speed recorded
d. the typing speed of a student with no experience
____ 27. Suppose a ball is dropped from a height of 9 meters and bounces to 85% of its previous height after each
n
bounce. Using the formula h = 9 (0.85) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 5th
bounce?
a. 4.13 meters
b. 3.35 meters
c. 3.99 meters
d. 4.39 meters
____ 28. Martha has $263. She needs $2500 to start an account. She earns $55 per day working, of which she saves
$40. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2500?
a. 2500 = 55d − 263
c. 2500 = 55d + 263
b. 2500 = 40d − 263
d. 2500 = 40d + 263
____ 29. Maria sells paintings in an art gallery. She earns $225 each week plus a commission equal to 2.25% of her
sales. This week her goal is to earn at least $686. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $21,000
b. $22,000
c. $22,500
d. $20,500
5
Name: ________________________
ID: F
____ 30. For the line graphed below, the x-intercept is changed to –4 and the slope is unchanged.
How will the graph of the line change?
a. The new line will be parallel to the original line.
b. The new line will be perpendicular to the original line.
c. The new line will intersect the original line.
d. The new line will be the same as the original line.
____ 31. Solve: x 2 + 12x + 6 = −26
ÏÔ
¸Ô
a. ÔÌ 5, 5 Ô˝
b.
Ó
˛
ÏÔ
¸Ô
ÔÌÓ −8,− 4 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ 8, 4 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −5,− 5 Ô˝˛
d.
–7
d.
−5a b
____ 32. Given:
6x + 5y = 18
4x + y = −16
What is the value of x?
a. 5
b.
Ê
ˆÊ
12
c.
–19
c.
−5a b
ˆ
____ 33. Simplify: ÁÁÁÁ a 6 b 2 ˜˜˜˜ ÁÁÁÁ −5a 4 b ˜˜˜˜
Ë
¯Ë
¯
a.
5
−5a b
8
b.
24
−5a b
2
8
5
10
3
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $3.27 to mail a 3-pound
box. How much would it cost to mail a 14-pound box?
$24.22
b. $13.08
c. $20.77
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (5k + 5) ÁÁÁÁ 5k 2 + 4k + 4 ˜˜˜˜
a.
b.
3
2
3
2
25k + 25k + 20k + 20
25k + 40k + 20k + 20
c.
d.
6
3
2
3
2
25k + 45k + 40k + 20
25k + 25k + 40k + 20
$15.26
Name: ________________________
ID: F
____ 36. Each year, Cathy invests $1,400 in her account. The account pays an interest rate of 3.3%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 35 years?
a. $95,000
b. $113,000
c. $77,000
d.
$94,000
____ 37. The endpoints of AC are A ÁÊË −5, 1 ˜ˆ¯ and C ÁÊË 6, 5 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
(
11
, 2)
2
b.
1
( , 3)
2
c.
1
(− , −2)
2
d.
1
(− , −3)
2
–x – 2y = 6
d.
–2x + y = –11
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
x – 2y = –15
b.
–2x – y = –3
c.
7
Name: ________________________
ID: F
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˘˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
˘˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
275 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˘˙
275 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 3 girls were absent. On Tuesday, 5 boys and 3 girls were absent. On Wednesday, 5 boys and 3 girls
were absent. On Thursday, 5 boys and 4 girls were absent. On Friday, 4 boys and 5 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 2 5 5 5 4 ˙˙˙˙˙
ÍÍÍÍ 3 5 5 5 4 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 3 3 3 4 5 ˙˚
ÍÎ 2 3 3 3 5 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
5
5
5
2
5
5
5
5
4
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 3 3 3 4 5 ˙˙˙˙˚
ÍÎ 5 4 3 3 3 ˙˙˚
8
Name: ________________________
ID: F
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 15
24
15 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 33
15
9 ˙˙˙˚
In May and June his sales are a third of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙
˙
May ÍÍÍÍ 5
24
15 ˙˙˙˙
May ÍÍÍÍ 45
24
15 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
15
9 ˙˚
15
9 ˙˙˙˚
June ÍÎ 11
June ÍÎ 99
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 5
8
5 ˙˙
May ÍÍ 45
72
45 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
5
3 ˙˙˙˚
45
27 ˙˙˙˚
June ÍÍÍÎ 11
June ÍÍÍÎ 99
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
3
−2 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 3
a.
0
b.
3
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
r ˙˙
5
˙˙˙ + 2 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−1 ˙˚
ÍÎ 5
c. 1
˘˙˙ ÈÍÍ
˙ Í
−4 ˙˙˙˙ ÍÍÍÍ 7
˙˙˙ = ÍÍÍ
˙ Í
5 ˙˙˙˚ ÍÍÍÎ −2
˘˙˙
˙
−10 ˙˙˙˙
˙˙˙
˙
8 ˙˙˙˚
d.
5
____ 43. The equation y = 437.91x + 4016 represents the value of a work of art from 1964 to 2005. What does the
number 437.91 represent?
the yearly increase in value
the yearly decrease in value
a.
b.
c.
d.
value of the work of art in 1964
value of the work of art in 2005
____ 44. A computer is purchased for $549 and depreciates at $55 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 549 − 55t
c.
V = 55t
d.
a.
b.
V = 55t − 549
V = 55 (549 − t )
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1000 feet?
a. 8 seconds
b. 7 seconds
c. 12 seconds
d. 3 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $40 to join and then $10 per book. The
second club costs $15 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 2
b. 10
c. 14
d. 8
____ 47. A group of 8 children and 7 adults pay a total of $200 to take a karate class. A group of 2 children and 3
adults take the same karate class for $80. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $24
b. $4
c. $52
d. $28
9
Name: ________________________
ID: F
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the y-intercept becomes negative
c.
d.
the y-intercept becomes positive
the slope would become positive
____ 49. The Outboard Motor Company can produce 12 motors in 15 weeks. Assuming a direct variation, how many
motors can the company produce in 35 weeks?
48 motors
b. 28 motors
c.
a.
d.
53 motors
58 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 + 0.2) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 80%
The value of the car is decreasing by 20%
The value of the car is increasing by 20%
The value of the car is decreasing by 80%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 8c 8 b 8 − 20c 3 b 9 − 4c 5 b 10 ˜˜˜˜ ?
Ë
a.
10
4c b
9
b.
3
4c b
8
¯
c.
5
4c b
9
8
d.
4c b
d.
17
10
____ 52. Simplify:
Ê
Ê 3
3ˆ
3ˆ
x − 3 ÁÁÁÁ 3x + 3y ˜˜˜˜ − 3 ÁÁÁÁ 3x − 2y ˜˜˜˜
Ë
¯
Ë
¯
3
a.
9x + 8x + 3y
b.
−17x + 3y
3
3
3
3
3
c.
−17x − 3y
d.
−9x − 8x − 3y
c.
5
3
3
____ 53. What is the length of AB ?
a.
3
5
b.
53
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = − 1 x– 14 represents 12th
2
Street. What is the equation representing Avenue J if it passes through the point ÊÁË 4,− 1 ˆ˜¯ ?
a. y = − 1 x + 1
b. y = − 1 x – 9
c. y = 2x + 1
d. y = 2x – 9
2
2
10
Name: ________________________
ID: F
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $8. 50
$7. 50
$7. 00
$6. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $12. 00 $10. 25 $9. 25
$9. 50 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $13. 25 $12. 00 $14. 75 $13. 75 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 4 large pizzas and 3 medium pizzas. Which pizza shop will charge the least for the
order?
a. Sal's
b. Romero's
c. John's Pizza
d. Alfredo's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
14
14 ˙˙˙˙
15
Team 1 ÍÍÍÍ 13
Team 1 ÍÍÍÍ 15
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
19
19 ˙˚
11
Team 2 ÍÎ 20
Team 2 ÍÎ 20
What is the total number of losses by Team 2 for these two seasons?
a. 29
b. 34
c. 30
d. 40
Ties
˘˙˙
˙
11 ˙˙˙˙
˙˙˙
˙
15 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.86
$13.57 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $9.34
$13.10 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $9.91
$12.58 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $10.45 $12.12 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $10.98 $11.63 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages increased, while college degree generally wages decreased.
b. high school diploma wages decreased, while college degree generally wages increased.
c. both groups showed an overall increase in hourly wages
d. both groups showed an overall decrease in hourly wages
11
Name: ________________________
ID: F
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
3
4
3.5
4.5
5
5.5
Visit (in
hours)
Cost of
$63
$89
$82
$97
$107
$117
$55
Visit
The equation of the line of best fit for the data is y = 18.43x + 51.61. What does the value of x represent?
a. flat fee
c. cost of a visit
b. length of visit
d. hourly rate
____ 59. An amusement park charges $15 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 7 times on a roller coaster. Her total payment was $43. Maria rode 13 times on a roller
coaster. What was her total payment?
a. $47
b. $43
c. $67
d. $63
____ 60. Which equation describes the function below?
x
–1
5
6
4
a.
2
b.
y = 2x + 3
2
y = −x + 51
c.
y
5
53
75
35
y = −x + 58
d.
y = 2x + 7
____ 61. Carol has four times as many 10-dollar bills as 5-dollar bills. She has a total of $225. How many 10-dollar
bills does Carol have?
25
b.
a.
20
c.
15
d.
5
____ 62. In 2000 Jim planted a tree that was 3 1 feet tall. In 2004 the tree was 30 1 feet tall. Assuming the growth of
2
the tree is linear, what was the rate of growth of the tree?
a. 27 3 feet per year
c. 27 feet per year
4
b. 6 feet per year
d. 6 3 feet per year
4
2
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.459 (1.53) , where x is the number of years after 1985. In what year were there approximately 9 thousand
cell phones?
a. 1992
b. 1990
c. 1988
d. 1994
____ 64. Given:
3x + 5y = 17
3x − 5y = 7
What is the value of y?
a. 1
b.
5
c.
12
4
d.
3
ID: F
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: A
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
A
D
A
B
D
B
C
D
D
A
B
D
D
D
C
D
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: F
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
C
A
A
B
C
A
A
A
D
D
C
B
C
B
D
A
D
D
C
A
B
C
A
B
D
A
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: G
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
60y
2y
a.
____
b.
30y
8
c.
30y
5
d.
58y
8
21
b.
7
3
972
7
c.
d.
162
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 56x 7 y 4 − 49x 2 y5 + 7x 5 y 8 ˜˜˜˜ ?
Ë
a.
____
5
2
2. If y varies directly as x, and y = 18 when x = 54, then what is the value of x when y = 7?
a.
____
58y
10
2 4
7x y
b.
8 5
7x y
c.
¯
5 5
7x y
d.
7 8
7x y
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.06) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 8 years was $18,869.64. What is the balance at the end of 11 years?
a. $30,075.34
b. $22,474.04
c. $21,201.93
d. $20,001.82
____
5. On a map, Luis’s house is located at ÊÁË −8, 1 ˆ˜¯ and Melvin’s house is at ÊÁË 8, 6 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(0, –3.5)
b. (0, –2.5)
c. (0, 3.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1025 1150 1118 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Hats ÍÍ 1015 1064 1042 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1136 1130 1128 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Shirts ÎÍ 1127 1194 1107 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. belts
b. shirts
c. pants
d.
____
(8, 2.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
6
0
1
Í
ÍÍÍ 2 −2
˙
˙˙˙
X = ÍÍÍÍ
Y
=
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ 1 −2
ÍÎ −7 6 −4 ˙˙˚
Î
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
2
7
−
4
−
2
−
7
−
8
2
5
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙˙
a. ÍÍÍÍÍ
b.
c.
˙
Í
˙
Í
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
ÍÍÍ
ÍÍÎ 8 −8
ÍÍÎ 6 −4 −1 ˙˙˙˙˚
9 ˙˙˚
ÍÎ −8 8 −9 ˙˙˚
1
hats
˘˙˙
˙
−6 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˚
d.
ÈÍÍ
ÍÍÍ
ÍÍÍ 8
ÍÍÍ
ÍÍ −6
ÍÎ
−2
4
˘˙˙
˙
−5 ˙˙˙˙
˙˙˙
˙
1 ˙˙˙˚
Name: ________________________
____
ID: G
8. A caterer’s recipes are each designed to make 3 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 3
Eggs
1
3 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 5
4
2 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
3
2 ˙˙˙˙
Sugar (cups) ÍÍ 5
Î
˚
How much sugar is needed to make 45 servings of bread and 45 servings of cake?
a. 8
b. 120
c. 9
d. 135
____
ÍÈÍÍ
˙˘˙˙
ÍÍÍ −8 1
8 ˙˙˙˙
Í
9. Given X = ÍÍÍ
˙˙˙ and Y =
ÍÍÍ
˙
ÍÎ 3 1 −2 ˙˙˙˚
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ −84
˙˙˙
ÍÍ 12
0
−
6
a. ÍÍÍÍ
˙˙˙˙ b. ÍÍÍÍÍ
ÍÍÍ
˙
ÍÍÍ
30 30 ˙˙˙˚
ÍÎ 42
ÍÎ −6
ÍÈÍÍ
ÍÍÍ 6
ÍÍÍ
ÍÍÍ
ÍÍÎ 4
˙˘˙˙
9 ˙˙˙˙
˙˙˙ . What is 6Y– 6X?
˙
−4 −7 ˙˙˙˚
˘˙˙
ÍÈÍÍ
˙˘˙˙
˙
ÍÍÍ 84
˙˙˙
12
102 ˙˙˙˙
0
6
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙˙
˙˙˙
ÍÍÍ
−18 −54 ˙˚
ÍÎ 6 −30 −30 ˙˙˚
1
ÍÈÍÍ
ÍÍÍ −12
ÍÍÍÍ
ÍÍÍ
ÍÎ −42
−12
−102
18
54
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
54o
22o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
58o
55o
49o
48o
43o
42o
o
o
o
o
o
Avg. Temp
19
25
32
29
35
46o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 0.4o
b. 1.6o
c. 1.3o
d. 1.4o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 2% has a principal of $470,000. If no more deposits or withdrawals
are made, about how much money will be in the account after six years?
a. $528,100
b. $529,300
c. $525,000
d. $523,900
____ 12. Given:
3x − y = 12
3x + 2y = −15
What is the value of x + y?
a. –9
b. –8
c.
1
d.
10
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 83 feet per second is
2
given by the formula h(t) = −16t + 83t , where t is the time in seconds. What is the height of the object after 3
seconds?
a. 271 ft
b. 354 ft
c. 105 ft
d. 188 ft
____ 14. A taxi ride cost $8.50. The driver charged $4 plus $0.10 per 0.4 mile traveled. How far did the taxi travel on
this trip?
18 miles
a.
b.
45 miles
c.
2
20.1 miles
d.
43.7 miles
Name: ________________________
ID: G
____ 15. The average price of a movie ticket in the year 1994 was $3.54. The average price of a movie ticket in the
year 2001 was $7.67. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2020?
a. $11.80
b. $11.21
c. $2.07
d. $18.88
____ 16. What is the value of y in the system of equations below?
5x + 3y = 6
a.
14
b.
–2
c.
5
y = − x+7
2
–8
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
6
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.7. What was the approximate speed of the car if it created skid
marks 222 ft long?
a. 48 mph
b. 68 mph
c. 16 mph
d. 56 mph
____ 18. Multiply: (−2x − 12) (2x + 6)
a. 0x2– 6
b. –4x2– 36x– 72
c.
d.
0x2– 36x– 6
–4x2– 72
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 6, and the
amount of space between rows is 5, what is the approximate rate of water flow that will result in a precipitation
rate of 40?
a. 2.0
b. 2.9
c. 12.5
d. 0.5
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
1
y = –2. Which equation could represent the new runway?
2
–16x + 8y = 18
c. 8x + 16y = 20
d. 8x – 16y = –9
equation that represents the highway is x +
a.
16x + 8y = –7
b.
____ 21. The midpoint of XY is point MÊÁË 9, 3 ˆ˜¯ . If the coordinates of X are ÊÁË −7, 7 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË 25, 5 ˆ˜¯
b. ÊÁË 25,− 1 ˆ˜¯
c. ÊÁË 1,− 1 ˆ˜¯
d. ÊÁË 1, 5 ˆ˜¯
3
Name: ________________________
ID: G
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.3
ÍÍÍ
Í
12-month ÍÍÍÍ 2.4
ÍÍÍ
Í
30-month ÍÍÍÍ 2.7
Î
b.
This Week
4.2
4.2
4.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 5.8
Î
2.4
4.2
6.2
Year Ago c.
˘˙
5 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.3
ÍÍÍ
Í
12-month ÍÍÍÍ 4.2
ÍÍÍ
Í
30-month ÍÍÍÍ 5
Î
Year Ago d.
˙˘
2.3 ˙˙˙˙
˙˙˙
˙
4.2 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.7 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
2.4
4.2
6.2
Last Week
ÍÈ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 2.4
ÍÍÍ
Í
30-month ÍÍÍÍ 2.3
Î
Year Ago
˙˘
5.8 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
4.6
4.2
4.2
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 13 13 ˙˙˙˙
ages 2-5 ÍÍÍÍ 16 17 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 13 16 ˙˙ Matrix M: ages 6-10 ÍÍ 10 17 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 15 18 ˙˙˙˙
ages 11-15 ÍÍÍÍ 14 11 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÍÍÍ −29 30 ˙˙˙˙˙
ÍÍÍ 29
ÍÍÍ −3 −4 ˙˙˙˙˙
ÍÍÍ 3
−30 ˙˙˙˙
4 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
33 ˙˙˙˙
−23
−33
3
−1
−3
1
a. ÍÍÍÍÍ 23
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 29
ÍÍÍ −29 −29 ˙˙˙
ÍÍÍ 1
ÍÍÍ −1 −7 ˙˙˙˙˙
29 ˙˙˙
7 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
Í
7
2
˙˙˙ + 6 ÍÍÍÍÍ −1
____ 24. Simplify: 4 ÍÍÍÍÍ
˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ −5
ÍÎ 2 −7 ˙˙˚
Î
ÍÈÍÍ
˙˘˙˙
ÍÍ
˙˙
a. ÍÍÍÍÍ 46 −40 ˙˙˙˙˙
b.
ÍÍÍÍ 38 −64 ˙˙˙˙
Î
˚
˘˙˙
˙
8 ˙˙˙˙
˙˙˙
˙
6 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ −46
ÍÍÍÍ
ÍÍÍ
ÍÎ −38
˙˘˙˙
40 ˙˙˙˙
˙˙˙
˙
64 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ 22
ÍÍÍ
ÍÍÍ
ÍÍÎ −22
˙˘˙˙
56 ˙˙˙˙
˙˙˙
˙
8 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −22
ÍÍÍÍ
ÍÍÍ
ÍÎ 22
˙˘˙˙
−56 ˙˙˙˙
˙˙˙
˙
−8 ˙˙˙˚
Name: ________________________
ID: G
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
603
702
844
896
934
937
1006
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 1031
b. 991
c. 1151
d. 951
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.7x + 18.8, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the improvement in typing speed per week for the average student
b. the average typing speed of the students
c. the highest typing speed recorded
d. the typing speed of a student with no experience
____ 27. Suppose a ball is dropped from a height of 10 meters and bounces to 80% of its previous height after each
n
bounce. Using the formula h = 10 (0.8) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 5th
bounce?
a. 3.28 meters
b. 2.38 meters
c. 3.16 meters
d. 3.68 meters
____ 28. Martha has $288. She needs $2400 to start an account. She earns $65 per day working, of which she saves
$40. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2400?
a. 2400 = 65d + 288
c. 2400 = 40d + 288
b. 2400 = 65d − 288
d. 2400 = 40d − 288
____ 29. Maria sells paintings in an art gallery. She earns $275 each week plus a commission equal to 4% of her
sales. This week her goal is to earn at least $687. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $9,800
b. $10,800
c. $11,300
d. $10,300
5
Name: ________________________
ID: G
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will not intersect the original line.
b. The new line will be parallel to the original line.
c. The new line will be the same as the original line.
d. The new line will be perpendicular to the original line.
____ 31. Solve: x 2 + 3x − 9 = 19
ÏÔ
¸Ô
a. ÔÌ −4, 7 Ô˝
Ó
˛
b.
ÏÔ
¸Ô
ÔÌÓ 4,− 7 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ −7, 6 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 7,− 6 Ô˝˛
d.
3
d.
9m n
____ 32. Given:
3x + 4y = 16
5x + y = −13
What is the value of x?
a. –4
b.
Ê
ˆÊ
–11
c.
7
c.
9m n
ˆ
____ 33. Simplify: ÁÁÁÁ −3m 2 n 5 ˜˜˜˜ ÁÁÁÁ −3m 9 n 4 ˜˜˜˜
Ë
¯Ë
¯
a.
18 20
b.
9m n
13 7
9m n
11 9
7 13
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $3.90 to mail a 4-pound
box. How much would it cost to mail a 14-pound box?
$17.54
b. $12.04
c. $13.65
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (4r + 4) ÁÁÁÁ 5r 2 − 3r − 4 ˜˜˜˜
a.
b.
3
2
20r + 8r − 28r − 16
3
2
20r − 28r − 12r − 16
c.
d.
6
3
2
3
2
20r + 20r − 12r − 16
20r + 20r − 28r − 16
$19.88
Name: ________________________
ID: G
____ 36. Each year, Cathy invests $1,900 in her account. The account pays an interest rate of 6.8%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 40 years?
a. $367,000
b. $391,000
c. $397,000
d.
$387,000
____ 37. The endpoints of AC are A ÁÊË −4, 1 ˜ˆ¯ and C ÁÊË 1, 6 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
5 5
( , )
2 2
b.
3 7
( ,− )
2 2
c.
3 7
(− , )
2 2
d.
3 5
( ,− )
2 2
3x – y = –16
d.
–x + 3y = 8
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
x + 3y = 16
b.
3x + y = –12
c.
7
Name: ________________________
ID: G
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÍÍÍÍÈ 175
ÍÍÍ
ÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Newspapers
Monday
b.
ÍÍÍÍÈ 250
ÍÍÍ
ÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 200
Î
Monday
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÍÍÍÍÈ 175
ÍÍÍ
ÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Newspapers
˘˙
250 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
250 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˚
ÍÍÍÍÈ 250
ÍÍÍ
ÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 200
Î
Monday
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 3 girls were absent. On Tuesday, 3 boys and 5 girls were absent. On Wednesday, 5 boys and 3 girls
were absent. On Thursday, 3 boys and 4 girls were absent. On Friday, 4 boys and 2 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 3 3 5 3 4 ˙˙˙˙˙
ÍÍÍÍ 4 3 5 3 2 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 2 5 3 3 2 ˙˚
ÍÎ 2 4 3 5 3 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
2
3
5
3
4
5
3
5
3
4
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 3 5 3 4 2 ˙˙˙˙˚
ÍÎ 3 5 3 4 2 ˙˙˚
8
Name: ________________________
ID: G
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 15
15
18 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 21
33
15 ˙˙˙˚
In May and June his sales are a third of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
˘˙˙
ÍÍÍÈ
ÍÍÍÈ
˙
˙
May ÍÍÍÍ 5
15
18 ˙˙˙˙
May ÍÍÍÍ 45
15
18 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
33
15 ˙˚
33
15 ˙˙˙˚
June ÍÎ 7
June ÍÎ 63
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 45
45
54 ˙˙
May ÍÍ 5
5
6 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
99
45 ˙˙˙˚
11
5 ˙˙˙˚
June ÍÍÍÎ 63
June ÍÍÍÎ 7
____ 42. What value of m makes the equation true?
ÈÍÍ
ÍÍÍ
2
−5 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 4
a.
4
b.
2
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
m ˙˙
2
˙˙˙ − 5 ÍÍÍÍÍ
ÍÍÍ
˙˙˙
1 ˙˚
ÍÎ −5
c. 3
˘˙˙ ÈÍÍ
˙ Í
−4 ˙˙˙˙ ÍÍÍÍ −1
˙˙˙ = ÍÍÍ
˙ Í
−2 ˙˙˙˚ ÍÍÍÎ 8
˘˙˙
˙
2 ˙˙˙˙
˙˙˙
˙
−5 ˙˙˙˚
d.
8
____ 43. The equation y = 365.62x + 4527 represents the value of a work of art from 1964 to 2005. What does the
number 4527 represent?
the yearly decrease in value
value of the work of art in 2005
a.
b.
c.
d.
the yearly increase in value
value of the work of art in 1964
____ 44. A computer is purchased for $583 and depreciates at $35 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 35t
c.
V = 35 (583 − t )
d.
a.
b.
V = 35t − 583
V = 583 − 35t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1100 feet?
a. 3 seconds
b. 8 seconds
c. 7 seconds
d. 13 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $50 to join and then $25 per book. The
second club costs $30 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 8
b. 10
c. 4
d. 16
____ 47. A group of 7 children and 6 adults pay a total of $180 to take a karate class. A group of 4 children and 2
adults take the same karate class for $80. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $12
b. $44
c. $16
d. $28
9
Name: ________________________
ID: G
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the slope would become positive
c.
d.
the y-intercept becomes negative
the y-intercept becomes positive
____ 49. The Outboard Motor Company can produce 14 motors in 13 weeks. Assuming a direct variation, how many
motors can the company produce in 39 weeks?
57 motors
b. 42 motors
c.
a.
d.
52 motors
67 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 + 0.05) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 5%
The value of the car is decreasing by 5%
The value of the car is increasing by 95%
The value of the car is decreasing by 95%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 6c 8 b 7 − 20c 5 b 8 + 4c 7 b 10 ˜˜˜˜ ?
Ë
a.
8
2c b
10
b.
7
2c b
8
¯
c.
5
2c b
7
10
d.
2c b
d.
5
8
____ 52. Simplify:
Ê
Ê
4ˆ
4
4ˆ
m + 4 ÁÁÁÁ −3m − n ˜˜˜˜ − 3 ÁÁÁÁ −m + 2n ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
4
−8m − 10n
4
4
−3m + 11m + 10n
c.
d.
4
4
3m − 11m − 10n
4
−8m + 10n
4
4
____ 53. What is the length of AB ?
a.
3
13
b.
3
13
c.
5
____ 54. On a map of downtown, 12th Street is parallel to Avenue J. The equation y = − 1 x– 17 represents 12th Street.
2
Ê
Á
What is the equation representing Avenue J if it passes through the point Ë 2,− 3 ˜ˆ¯ ?
a. y = − 1 x – 7
b. y = 2x – 7
c. y = − 1 x – 2
d. y = 2x – 2
2
2
10
Name: ________________________
ID: G
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $8. 50
$8. 00
$8. 00
$9. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $11. 25 $10. 50 $10. 00 $9. 25 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $13. 00 $12. 25 $12. 50 $13. 50 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 4 large pizzas and 3 medium pizzas. Which pizza shop will charge the least for the
order?
a. John's Pizza
b. Sal's
c. Romero's
d. Alfredo's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
11
17 ˙˙˙˙
15
Team 1 ÍÍÍÍ 19
Team 1 ÍÍÍÍ 13
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
18
13 ˙˚
20
Team 2 ÍÎ 14
Team 2 ÍÎ 20
What is the total number of wins by Team 2 for these two seasons?
a. 34
b. 30
c. 38
d. 32
Ties
˘˙˙
˙
13 ˙˙˙˙
˙˙˙
˙
17 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $9.22
$13.32 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $8.67
$13.80 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $8.12
$14.31 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $7.53
$14.83 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $7.02
$15.29 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall increase in hourly wages
b. high school diploma wages increased, while college degree generally wages decreased.
c. both groups showed an overall decrease in hourly wages
d. high school diploma wages decreased, while college degree generally wages increased.
11
Name: ________________________
ID: G
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
2.5
3.5
3
4
4.5
6
Visit (in
hours)
Cost of
$56
$80
$94
$101
$106
$114
$62
Visit
The equation of the line of best fit for the data is y = 14.55x + 63.67. What does the value of y represent?
a. hourly rate
c. flat fee
b. cost of a visit
d. length of visit
____ 59. An amusement park charges $18 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 9 times on a roller coaster. Her total payment was $36. Maria rode 6 times on a roller
coaster. What was her total payment?
a. $36
b. $34
c. $26
d. $30
____ 60. Which equation describes the function below?
x
–2
3
5
6
a.
2
b.
y = 3x + 4
y = −3x + 40
c.
y
16
31
79
112
2
y = −3x + 220
d.
y = 3x + 22
____ 61. Carol has three times as many 10-dollar bills as 5-dollar bills. She has a total of $315. How many 5-dollar
bills does Carol have?
18
b.
a.
9
c.
36
d.
27
____ 62. In 2000 Jim planted a tree that was 4 1 feet tall. In 2006 the tree was 25 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 21 1 feet per year
c. 3 feet per year
2
b. 21 feet per year
d. 3 1 feet per year
2
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.457 (1.59) , where x is the number of years after 1985. In what year were there approximately 30
thousand cell phones?
a. 1988
b. 1994
c. 1990
d. 1992
____ 64. Given:
8x + 4y = 12
3x + 3y = 12
What is the value of y?
a. –6
b.
4
c.
12
5
d.
–1
ID: G
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: A
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
B
B
D
C
D
D
A
C
D
D
B
A
C
C
A
D
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: G
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
D
C
B
D
C
D
D
B
B
D
C
B
A
C
C
B
C
C
A
D
B
D
A
B
D
B
C
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: H
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
90n
6n
a.
____
84n
c.
15n
6
d.
84n
6
108
11
b.
44
27
c.
297
d.
729
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 35x 9 y 2 − 42x 3 y3 − 7x 6 y 6 ˜˜˜˜ ?
Ë
a.
____
b.
2.2
2. If y varies directly as x, and y = 4 when x = 54, then what is the value of x when y = 22?
a.
____
15n
2.2
11
5
3 2
7x y
b.
6 3
c.
7x y
¯
9 6
d.
7x y
6 3
7x y
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045)B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 5 years was $17,173.37. What is the balance at the end of 8 years?
a. $21,401.14
b. $17,946.17
c. $18,753.75
d. $19,597.67
____
5. On a map, Luis’s house is located at ÁÊË −1, 2 ˜ˆ¯ and Melvin’s house is at ÁÊË 9, 3 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
a. (–4, –2.5)
b. (4, 2.5)
c. (–4, –0.5)
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1011 1072 1115 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1054 1020 1086 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1078 1145 1147 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1107 1158 1126 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. pants
b. belts
c. hats
d.
____
(5, 0.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ 4
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ −1
−9
−9
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘
ÍÍÍ −4 −15 −12 ˙˙˙˙˙
ÍÍÍ −12 3 −2 ˙˙˙˙˙
˙˙˙ b. ÍÍÍ
˙˙˙
a. ÍÍÍÍ
c.
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Í
˙
5 ˙˚
5 −7 ˙˚
ÍÎ −5 −13
ÍÎ −3
1
˙˘˙˙
−5 ˙˙˙˙
˙˙˙
˙
6 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ 4
ÍÍÍÍ
ÍÍÍ
ÍÎ 5
ÍÈÍÍ
ÍÍ 8
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 4
15
13
˙˘˙˙
12 ˙˙˙˙
˙˙˙
˙
−5 ˙˙˙˚
6
4
shirts
˙˘˙˙
7 ˙˙˙˙
˙˙˙
˙
1 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 12
ÍÍÍÍ
ÍÍÍ
ÍÎ 3
−3
−5
˙˘˙˙
2 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˚
Name: ________________________
____
ID: H
8. A caterer’s recipes are each designed to make 5 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 2
Eggs
4
4 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 4
4
5 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
3
6 ˙˙˙˙
Sugar (cups) ÍÍ 1
Î
˚
How much sugar is needed to make 70 servings of bread and 70 servings of cake?
a. 4
b. 56
c. 112
d. 8
____
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘˙˙
ÍÍÍ 2 −8
ÍÍÍ −5
2 ˙˙˙˙
9 5 ˙˙˙˙
Í
Í
9. Given X = ÍÍÍ
˙˙˙ and Y = ÍÍÍ
˙˙˙ . What is 5Y– 3X?
ÍÍÍ
˙
ÍÍÍ
˙
7 −2 ˙˙˙˚
ÍÎ 5
ÍÎ −4 −3 7 ˙˙˙˚
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ 31 −69 −19 ˙˙˙˙˙
ÍÍÍ −31 69
˙˙˙
ÍÍÍ −5 −21 −31 ˙˙˙˙˙
19
˙˙˙ b. ÍÍÍ
˙˙˙ c. ÍÍÍ
˙˙˙ d.
a. ÍÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙
ÍÍÍ
˙
Í
˙
Í
−41 ˙˚
−6
−29 ˙˙˙˚
ÍÎ −35 −36 41 ˙˚
ÍÎ 5
ÍÎ 35 36
ÍÈÍÍ
ÍÍÍ 5
ÍÍÍ
ÍÍÍ
ÍÍÎ −5
21
6
˙˘˙˙
31 ˙˙˙˙
˙˙˙
˙
29 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
58o
20o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
57o
55o
49o
46o
43o
40o
o
o
o
o
o
Avg. Temp
15
26
28
29
36
46o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 0.6o
b. 1.3o
c. 0.9o
d. 0.3o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 3% has a principal of $20,000. If no more deposits or withdrawals are
made, about how much money will be in the account after seven years?
a. $24,600
b. $14,500
c. $33,000
d. $24,500
____ 12. Given:
3x + y = 3
3x − 4y = 18
What is the value of x – y?
a. 5
b. 2
c.
–1
d.
–3
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 88 feet per second is
2
given by the formula h(t) = −16t + 88t , where t is the time in seconds. What is the height of the object after 3
seconds?
a. 32 ft
b. 384 ft
c. 296 ft
d. 120 ft
____ 14. A taxi ride cost $19.20. The driver charged $3 plus $0.60 per 0.6 mile traveled. How far did the taxi travel on
this trip?
27 miles
a.
b.
24.9 miles
c.
2
16.2 miles
d.
13.9 miles
Name: ________________________
ID: H
____ 15. The average price of a movie ticket in the year 1992 was $3.27. The average price of a movie ticket in the
year 2002 was $8.47. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2020?
a. $13.67
b. $11.74
c. $17.83
d. $3.79
____ 16. What is the value of y in the system of equations below?
3x − 4y = −16
a.
–5
b.
1
c.
3
y = − x−2
4
–4
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–3
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.4. What was the approximate speed of the car if it created skid
marks 208 ft long?
a. 15 mph
b. 36 mph
c. 50 mph
d. 20 mph
____ 18. Multiply: (−5x + 9) (2x − 12)
a. –10x2– 108
b. –3x2+ 78x– 3
c.
d.
–3x2– 3
–10x2+ 78x– 108
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 3, and the
amount of space between rows is 5, what is the approximate rate of water flow that will result in a precipitation
rate of 20?
a. 8.0
b. 2.9
c. 3.1
d. 0.1
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
1
3
x − y = –1. Which equation could represent the new runway?
2
4
–12x – 8y = –10 c. –8x – 12y = –6
d. 8x – 12y = 6
equation that represents the highway is
a.
–12x + 8y = 9
b.
____ 21. The midpoint of XY is point MÊÁË 10,− 8 ˆ˜¯ . If the coordinates of X are ÊÁË 2, 4 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË 6,− 20 ˆ˜¯
b. ÊÁË 6,− 2 ˆ˜¯
c. ÊÁË 18,− 20 ˆ˜¯
d. ÊÁË 18,− 2 ˆ˜¯
3
Name: ________________________
ID: H
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 6.6
Î
b.
This Week
Year Ago c.
˘˙
2.6 ˙˙˙˙
˙˙˙
˙
4.2 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
2.9
5
5.8
Last Week
ÍÈ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 4.2
ÍÍÍ
Í
30-month ÍÍÍÍ 5
Î
This Week
ÈÍ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.7
Î
Year Ago d.
˙˘
2.7 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
2.9
5
5.8
Last Week
This Week
Year Ago
˘˙
5 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
4.2
5
4.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.6
Î
Year Ago
˙˘
6.6 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
4.6
5
4.2
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 11 15 ˙˙˙˙
ages 2-5 ÍÍÍÍ 10 13 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 12 18 ˙˙ Matrix M: ages 6-10 ÍÍ 14 18 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 11 14 ˙˙˙˙
ages 11-15 ÍÍÍÍ 15 15 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍ −1 −2 ˙˙˙˙˙
ÍÍÍ −21 28 ˙˙˙˙˙
ÍÍÍ 1
ÍÍÍ 21
2 ˙˙˙˙
−28 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
0 ˙˙˙˙
26
36
−2
0
−26
−36
a. ÍÍÍÍÍ 2
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 4
ÍÍÍ 26
ÍÍÍ −4 −1 ˙˙˙
ÍÍÍ −26 −29 ˙˙˙˙˙
1 ˙˙˙
29 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
Í
6
3
˙˙˙ + 6 ÍÍÍÍÍ −1
____ 24. Simplify: 6 ÍÍÍÍÍ
˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ −5
ÍÎ 5 8 ˙˙˚
Î
ÍÈÍÍ
˙˘˙˙
ÍÍ
˙˙
a. ÍÍÍÍÍ −30 −72 ˙˙˙˙˙
b.
ÍÍÍÍ 0
˙˙˙˙
−96
Î
˚
˘˙˙
˙
9 ˙˙˙˙
˙˙˙
˙
8 ˙˙˙˚
ÈÍÍ
ÍÍÍ
ÍÍÍ 30
ÍÍÍ
ÍÍÍ 0
Î
˙˘˙˙
72 ˙˙˙˙
˙˙˙
˙
96 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ 42
ÍÍÍÍ
ÍÍÍ
ÍÎ 60
˙˘˙˙
−36 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −42
ÍÍÍÍ
ÍÍÍ
ÍÎ −60
˙˘˙˙
36 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
Name: ________________________
ID: H
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
524
642
828
865
884
1023
1091
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 807
b. 527
c. 727
d. 687
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.4x + 18.5, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the average typing speed of the students
b. the highest typing speed recorded
c. the improvement in typing speed per week for the average student
d. the typing speed of a student with no experience
____ 27. Suppose a ball is dropped from a height of 9 meters and bounces to 80% of its previous height after each
n
bounce. Using the formula h = 9 (0.8) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 6th
bounce?
a. 2.5 meters
b. 1.46 meters
c. 3.02 meters
d. 2.36 meters
____ 28. Martha has $287. She needs $2600 to start an account. She earns $75 per day working, of which she saves
$45. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2600?
a. 2600 = 45d − 287
c. 2600 = 75d − 287
b. 2600 = 75d + 287
d. 2600 = 45d + 287
____ 29. Maria sells paintings in an art gallery. She earns $225 each week plus a commission equal to 2.5% of her
sales. This week her goal is to earn at least $620. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $15,800
b. $15,300
c. $13,800
d. $14,800
5
Name: ________________________
ID: H
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will be parallel to the original line.
b. The new line will be the same as the original line.
c. The new line will be perpendicular to the original line.
d. The new line will not intersect the original line.
____ 31. Solve: x 2 − 13x − 10 = −50
ÏÔ
¸Ô
a. ÔÌ 5, 8 Ô˝
b.
Ó
˛
ÏÔ
¸Ô
ÔÌÓ −3,− 11 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ −5,− 8 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 3, 11 Ô˝˛
d.
2
d.
3x y
____ 32. Given:
3x − y = −10
4x + y = −4
What is the value of x?
a. –2
b.
Ê
ˆÊ
4
c.
–6
c.
3x y
ˆ
____ 33. Simplify: ÁÁÁÁ −x 0 y4 ˜˜˜˜ ÁÁÁÁ −3x y 4 ˜˜˜˜
Ë
¯Ë
¯
a.
0 16
b.
3x y
3x y
8
4 5
5 4
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $3.06 to mail a 4-pound
box. How much would it cost to mail a 11-pound box?
$10.30
b. $8.42
c. $7.61
a.
d.
Ê
ˆ
____ 35. Which expression is equivalent to ÊÁË 4p + 2 ˜ˆ¯ ÁÁÁÁ 3p 2 − 2p − 4 ˜˜˜˜
Ë
¯
3
2
c.
12p + 6p − 20p − 8
3
2
d.
12p − 20p − 4p − 8
a.
12p + 6p − 4p − 8
b.
12p − 2p − 20p − 8
6
3
3
2
2
$11.40
Name: ________________________
ID: H
____ 36. Each year, Cathy invests $1,300 in her account. The account pays an interest rate of 5.1%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 45 years?
a. $226,000
b. $218,000
c. $209,000
d.
$224,000
____ 37. The endpoints of AC are A ÁÊË −8, 4 ˜ˆ¯ and C ÁÊË 9, 8 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
(
17
, 2)
2
b.
1
( , 6)
2
c.
1
(− , −2)
2
d.
1
(− , −6)
2
d.
–x – 2y = –1
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
–2x – y = –17
b.
–2x + y = –17
c.
7
x – 2y = 2
Name: ________________________
ID: H
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˘˙
200 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Newspapers
˘˙
200 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 5 boys
and 3 girls were absent. On Tuesday, 3 boys and 4 girls were absent. On Wednesday, 4 boys and 3 girls
were absent. On Thursday, 5 boys and 3 girls were absent. On Friday, 2 boys and 2 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 3 3 4 5 2 ˙˙˙˙˙
ÍÍÍÍ 5 3 4 5 2 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 5 4 3 3 2 ˙˚
ÍÎ 3 4 3 3 2 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
2
5
4
3
5
4
3
4
5
2
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 3 4 3 3 2 ˙˙˙˙˚
ÍÎ 2 3 3 4 3 ˙˙˚
8
Name: ________________________
ID: H
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 28
24
24 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 12
28
44 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙˙˙˘
˙
May ÍÍÍÍ 112
96
96 ˙˙˙˙
May ÍÍÍÍ 7
24
24 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
112
176 ˙˚
28
44 ˙˙˙˚
June ÍÎ 48
June ÍÎ 3
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 7
6
6 ˙˙
May ÍÍ 112
24
24 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
7
11 ˙˙˙˚
28
44 ˙˙˙˚
June ÍÍÍÎ 3
June ÍÍÍÎ 48
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
3
−3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ −3
a.
6
b.
–8
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
r ˙˙
−1
˙˙˙ − 5 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−1 ˙˚
ÍÎ −5
c. 9
˘˙˙ ÈÍÍ
˙ Í
−4 ˙˙˙˙ ÍÍÍÍ 1
˙˙˙ = ÍÍÍ
˙ Í
−1 ˙˙˙˚ ÍÍÍÎ 7
˘˙˙
˙
2 ˙˙˙˙
˙˙˙
˙
−1 ˙˙˙˚
d.
2
____ 43. The equation y = 399.94x + 4899 represents the value of a work of art from 1964 to 2005. What does the
number 399.94 represent?
value of the work of art in 1964
the yearly increase in value
a.
b.
c.
d.
the yearly decrease in value
value of the work of art in 2005
____ 44. A computer is purchased for $740 and depreciates at $45 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 740 − 45t
c.
V = 45 (740 − t )
d.
a.
b.
V = 45t − 740
V = 45t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 900 feet?
a. 5 seconds
b. 7 seconds
c. 8 seconds
d. 10 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $40 to join and then $25 per book. The
second club costs $30 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 10
b. 6
c. 8
d. 14
____ 47. A group of 2 children and 7 adults pay a total of $120 to take a karate class. A group of 2 children and 5
adults take the same karate class for $100. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $10
b. $45
c. $35
d. $25
9
Name: ________________________
ID: H
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the y-intercept becomes positive
b. the slope would become negative
c.
d.
the slope would become positive
the y-intercept becomes negative
____ 49. The Outboard Motor Company can produce 14 motors in 16 weeks. Assuming a direct variation, how many
motors can the company produce in 24 weeks?
21 motors
b. 11 motors
c.
a.
d.
51 motors
16 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.05) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 5%
The value of the car is increasing by 95%
The value of the car is decreasing by 95%
The value of the car is increasing by 5%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 30e 7 d 4 − 15e 2 d 6 + 10e 4 d 9 ˜˜˜˜ ?
Ë
a.
9 6
b.
5e d
7 9
5e d
¯
c.
2 4
5e d
4 6
d.
5e d
d.
41
____ 52. Simplify:
Ê
2ˆ Ê
2
2ˆ
−3m − 4 ÁÁÁÁ 2m + 2n ˜˜˜˜ − ÁÁÁÁ −m − 3n ˜˜˜˜
Ë
¯ Ë
¯
a.
b.
2
−10m + 5n
2
2
−m + 11m + 5n
c.
d.
2
2
−10m − 5n
2
2
m − 11m − 5n
2
____ 53. What is the length of AB ?
a.
13
b.
65
c.
37
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = 2x+ 5 represents 12th
Street. What is the equation representing Avenue J if it passes through the point ÊÁË −4,− 5 ˜ˆ¯ ?
a. y = − 1 x – 7
b. y = 2x + 3
c. y = − 1 x + 3
d. y = 2x – 7
2
2
10
Name: ________________________
ID: H
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $7. 00
$9. 00
$8. 00
$6. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $11. 25 $10. 75 $10. 25 $10. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14. 25 $14. 00 $12. 00 $12. 75 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 5 large pizzas and 4 medium pizzas. Which pizza shop will charge the least for the
order?
a. Alfredo's
b. Sal's
c. John's Pizza
d. Romero's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
18
12 ˙˙˙˙
10
Team 1 ÍÍÍÍ 19
Team 1 ÍÍÍÍ 19
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
15
20 ˙˚
14
Team 2 ÍÎ 11
Team 2 ÍÎ 15
What is the total number of ties by Team 2 for these two seasons?
a. 37
b. 29
c. 26
d. 25
Ties
˘˙˙
˙
13 ˙˙˙˙
˙˙˙
˙
17 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.36
$14.84 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $7.78
$15.38 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $7.22
$15.92 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $6.64
$16.48 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $6.06
$16.93 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall decrease in hourly wages
b. high school diploma wages decreased, while college degree generally wages increased.
c. both groups showed an overall increase in hourly wages
d. high school diploma wages increased, while college degree generally wages decreased.
11
Name: ________________________
ID: H
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
2.5
3.5
3
4.5
5
5.5
Visit (in
hours)
Cost of
$75
$84
$83
$98
$96
$117
$50
Visit
The equation of the line of best fit for the data is y = 14.89x + 60.62. What does the value of y represent?
a. flat fee
c. cost of a visit
b. length of visit
d. hourly rate
____ 59. An amusement park charges $16 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 8 times on a roller coaster. Her total payment was $56. Maria rode 13 times on a roller
coaster. What was her total payment?
a. $66
b. $86
c. $81
d. $56
____ 60. Which equation describes the function below?
x
–2
4
3
7
a.
b.
y = 2x + 15
2
y = x +7
c.
y
11
23
16
56
y = x + 13
d.
2
y = 2x − 42
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $440. How many 5-dollar bills
does Carol have?
40
a.
b.
8
c.
32
d.
48
____ 62. In 2000 Jim planted a tree that was 3 1 feet tall. In 2003 the tree was 22 feet tall. Assuming the growth of the
4
tree is linear, what was the rate of growth of the tree?
a. 6 3 feet per year
c. 19 1 feet per year
4
4
3
1
b. 19 feet per year
d. 6 feet per year
4
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.467 (1.56) , where x is the number of years after 1985. In what year were there approximately 16
thousand cell phones?
a. 1991
b. 1995
c. 1993
d. 1989
____ 64. Given:
3x + 5y = 12
5x − 4y = −17
What is the value of y?
a. –4
b.
–1
c.
12
2
d.
3
ID: H
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: D
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
C
B
A
B
D
D
D
D
A
C
A
A
B
B
B
A
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: H
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
D
C
C
B
D
B
A
C
C
C
A
A
A
C
D
D
A
D
A
B
C
C
B
B
D
C
D
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: I
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
80p
11
10p
a.
____
b.
70p
8
c.
8p
3.7
d.
70p
3.7
240
17
b.
17
15
c.
255
d.
900
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 16p 6 q 5 + 16p 3 q 7 − 2p 4 q 9 ˜˜˜˜ ?
Ë
a.
____
8
2. If y varies directly as x, and y = 4 when x = 60, then what is the value of x when y = 17?
a.
____
8p
3
4 7
2p q
b.
9 7
2p q
c.
¯
6 9
2p q
d.
3 5
2p q
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.015) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 10 years was $17,013.94. What is the balance at the end of 13 years?
a. $17,791.11
b. $19,745.37
c. $17,528.19
d. $17,269.15
____
5. On a map, Luis’s house is located at ÊÁË −1, 3 ˆ˜¯ and Melvin’s house is at ÊÁË 5, 6 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(2, 4.5)
b. (–2, –1.5)
c. (–2, –4.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1030 1060 1137 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Hats ÍÍ 1013 1017 1075 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1111 1074 1063 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Shirts ÎÍ 1110 1149 1125 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. belts
b. shirts
c. pants
d.
____
(3, 1.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
−
3
6
3
Í
ÍÍÍ −7 −8
˙
˙˙˙
X = ÍÍÍÍ
Y
=
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ 7
3
ÍÎ −8 2 3 ˙˙˚
Î
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
−
4
−
14
3
10
2
−
9
−
10
−
2
9
˙˙˙
ÍÍÍ
˙˙˙ c. ÍÍÍ
˙˙˙˙
a. ÍÍÍÍÍ
b.
˙
Í
˙
Í
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙
ÍÍÍ
ÍÍÎ 1 −5 −12 ˙˙˚
ÍÍÎ −1
1
6 ˙˙˚
5 12 ˙˙˙˚
ÍÎ 15
1
hats
˘˙˙
˙
6 ˙˙˙˙
˙˙˙
˙
9 ˙˙˙˚
d.
ÈÍÍ
ÍÍÍ
ÍÍÍ 4
ÍÍÍ
ÍÍ −15
ÍÎ
14
−1
˘˙˙
˙
−3 ˙˙˙˙
˙˙˙
˙
−6 ˙˙˙˚
Name: ________________________
____
ID: I
8. A caterer’s recipes are each designed to make 7 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 4
Eggs
1
1 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 2
6
2 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
2
1 ˙˙˙˙
Sugar (cups) ÍÍ 4
Î
˚
How much sugar is needed to make 77 servings of bread and 77 servings of cake?
a. 6
b. 8
c. 88
d. 66
____
ÍÈÍÍ
˙˘
ÍÍÍ −2 −4 −9 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
1 −4 ˙˙˙˚
ÍÎ 0
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ 12 −20 −23 ˙˙˙˙˙
ÍÍ −12
a. ÍÍÍÍ
˙˙˙˙ b. ÍÍÍÍÍ
ÍÍÍ
˙
ÍÍÍ
−20 ˙˙˙˚
9
ÍÎ −14
ÍÎ 14
ÍÈÍÍ
ÍÍÍ 9
ÍÍÍ
ÍÍÍ
ÍÍÎ 7
˙˘˙˙
2 ˙˙˙˙
˙˙˙ . What is –2Y– 3X?
˙
3 −4 ˙˙˙˚
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ −31 −4 −31 ˙˙˙˙˙
20 23 ˙˙˙˙
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙
˙˙˙
ÍÍÍ
−9 20 ˙˚
ÍÎ −14 −3 −4 ˙˙˙˚
−4
ÍÈÍÍ
ÍÍÍ 31
ÍÍÍÍ
ÍÍÍ
ÍÎ 14
4
3
˙˘˙˙
31 ˙˙˙˙
˙˙˙
˙
4 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
58o
17o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
56o
54o
49o
48o
44o
41o
o
o
o
o
o
Avg. Temp
20
25
32
33
34
47o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.2o
b. 2.1o
c. 1.8o
d. 1.6o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 3% has a principal of $320,000. If no more deposits or withdrawals
are made, about how much money will be in the account after four years?
a. $363,800
b. $360,200
c. $364,000
d. $360,000
____ 12. Given:
6x − y = −8
6x − 4y = 4
What is the value of x – y?
a. 2
b. –6
c.
–4
d.
–2
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 95 feet per second is
2
given by the formula h(t) = −16t + 95t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 31 ft
b. 221 ft
c. 126 ft
d. 411 ft
____ 14. A taxi ride cost $26.40. The driver charged $4 plus $0.70 per 0.4 mile traveled. How far did the taxi travel on
this trip?
32 miles
a.
b.
37.3 miles
c.
2
12.8 miles
d.
18.7 miles
Name: ________________________
ID: I
____ 15. The average price of a movie ticket in the year 1998 was $3.00. The average price of a movie ticket in the
year 2005 was $5.66. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2015?
a. $9.46
b. $8.66
c. $3.76
d. $8.32
____ 16. What is the value of y in the system of equations below?
8x + 5y = 17
a.
7
b.
13
c.
8
y = − x−3
3
–6
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–19
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.2. What was the approximate speed of the car if it created skid
marks 194 ft long?
a. 15 mph
b. 34 mph
c. 15 mph
d. 7 mph
____ 18. Multiply: (−m + 15) (−2m + 9)
a. 2m2– 39m+ 135
b. –3m2+ 24
c.
d.
2m2+ 135
–3m2– 39m+ 24
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 3, and the
amount of space between rows is 5, what is the approximate rate of water flow that will result in a precipitation
rate of 25?
a. 2.3
b. 6.4
c. 3.9
d. 0.2
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
3
4
equation that represents the highway is − x − y = –1. Which equation could represent the new runway?
4
5
a. –15x + 16y = 4
b. 16x – 15y = –20 c. 15x + 16y = 17
d. 16x + 15y = 8
____ 21. The midpoint of XY is point MÊÁË 3,− 5 ˆ˜¯ . If the coordinates of X are ÊÁË −1,− 3 ˆ˜¯ , what are the coordinates of Y?
a.
ÊÁ 7, − 7 ˆ˜
Ë
¯
b.
ÊÁ 7, − 4 ˆ˜
Ë
¯
c.
3
ÊÁ 1, − 7 ˆ˜
Ë
¯
d.
ÊÁ 1, − 4 ˆ˜
Ë
¯
Name: ________________________
ID: I
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 2.2
ÍÍÍ
Í
30-month ÍÍÍÍ 2.1
Î
b.
This Week
4.6
4.2
3.8
Last Week
ÍÈ
6-month ÍÍÍÍ 2.1
ÍÍÍ
Í
12-month ÍÍÍÍ 3.8
ÍÍÍ
Í
30-month ÍÍÍÍ 6.2
Î
2.2
4.2
6.2
Year Ago c.
˘˙
5.8 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 5.8
Î
Year Ago d.
˙˘
2.6 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.1 ˙˙˙˙
˙˙˙
˙
3.8 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
2.2
4.2
6.2
Last Week
ÍÈ
6-month ÍÍÍÍ 2.1
ÍÍÍ
Í
12-month ÍÍÍÍ 2.2
ÍÍÍ
Í
30-month ÍÍÍÍ 2.6
Î
Year Ago
˙˘
6.2 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
3.8
4.2
4.6
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 12 16 ˙˙˙˙
ages 2-5 ÍÍÍÍ 11 10 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 14 18 ˙˙ Matrix M: ages 6-10 ÍÍ 11 16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 11 18 ˙˙˙˙
ages 11-15 ÍÍÍÍ 16 14 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÍÍÍ 1
ÍÍÍ −23 26 ˙˙˙˙˙
ÍÍÍ 23
ÍÍÍ −1 −6 ˙˙˙˙˙
6 ˙˙˙˙
−26 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
2 ˙˙˙˙
25
34
−
25
−
34
−
3
−
2
a. ÍÍÍÍÍ 3
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −5
ÍÍÍ 27
ÍÍÍ −27 −32 ˙˙˙
ÍÍÍ 5 −4 ˙˙˙˙˙
4 ˙˙˙
32 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
ÍÍÍ
____ 24. Simplify: −6 ÍÍÍÍÍ −3
ÍÍÍ
ÍÎ −7
˘˙˙
ÍÈÍÍ
˙˙˙
ÍÍÍ 3
3
˙˙˙
a. ÍÍÍÍ
˙˙˙
ÍÍÍ
ÍÎ −36 47 ˙˙˙˚
˘˙˙ ÈÍÍ
˙ Í
0 ˙˙˙˙ ÍÍÍÍ 0
˙˙˙ + ÍÍÍ
˙ Í
8 ˙˙˙˚ ÍÍÍÎ 6
b.
˘˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
−1 ˙˙˙˚
ÈÍÍ
ÍÍÍ
ÍÍÍ −3
ÍÍÍ
ÍÍÍ 36
Î
˙˘˙˙
−3 ˙˙˙˙
˙˙˙
˙
−47 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ −18
ÍÍÍÍ
ÍÍÍ
ÍÎ −48
˙˘˙˙
−3 ˙˙˙˙
˙˙˙
˙
49 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 18
ÍÍÍÍ
ÍÍÍ
ÍÎ 48
˙˘˙˙
3 ˙˙˙˙
˙˙˙
˙
−49 ˙˙˙˚
Name: ________________________
ID: I
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
592
737
837
893
879
1058
1091
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 660
b. 940
c. 740
d. 860
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 3.3x + 16.7, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the average typing speed of the students
b. the improvement in typing speed per week for the average student
c. the highest typing speed recorded
d. the typing speed of a student with no experience
____ 27. Suppose a ball is dropped from a height of 9 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 9 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 13th
bounce?
a. 1.39 meters
b. 2.17 meters
c. 2.29 meters
d. 2.43 meters
____ 28. Martha has $287. She needs $2700 to start an account. She earns $55 per day working, of which she saves
$45. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2700?
a. 2700 = 45d − 287
c. 2700 = 45d + 287
b. 2700 = 55d + 287
d. 2700 = 55d − 287
____ 29. Maria sells paintings in an art gallery. She earns $325 each week plus a commission equal to 2% of her
sales. This week her goal is to earn at least $686. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $16,100
b. $16,600
c. $18,100
d. $17,600
5
Name: ________________________
ID: I
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will be perpendicular to the original line.
b. The new line will be the same as the original line.
c. The new line will be parallel to the original line.
d. The new line will not intersect the original line.
____ 31. Solve: x 2 + x − 5 = −3
ÏÔ
¸Ô
a. ÔÌ −1, 2 Ô˝
Ó
˛
b.
ÏÔ
¸Ô
ÔÌÓ −4, 4 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ 4, − 4 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 1, − 2 Ô˝˛
d.
–6
d.
3x y
____ 32. Given:
6x + 3y = −3
8x + 5y = −15
What is the value of x?
a. –11
b.
Ê
ˆÊ
5
c.
16
c.
3x y
ˆ
____ 33. Simplify: ÁÁÁÁ −3x y 9 ˜˜˜˜ ÁÁÁÁ −x 2 y 9 ˜˜˜˜
Ë
¯Ë
¯
a.
11 10
b.
3x y
10 11
3x y
3 18
2 81
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.50 to mail a 4-pound
box. How much would it cost to mail a 14-pound box?
$13.90
b. $15.75
c. $20.23
a.
d.
Ê
ˆ
____ 35. Which expression is equivalent to ÊÁË 2p − 4 ˜ˆ¯ ÁÁÁÁ 2p 2 + p + 4 ˜˜˜˜
Ë
¯
3
2
c.
4p + 4p − 4p − 16
3
2
d.
4p − 8p − 4p − 16
a.
4p − 8p + 4p − 16
b.
4p − 6p + 4p − 16
6
3
2
3
2
$22.94
Name: ________________________
ID: I
____ 36. Each year, Cathy invests $1,000 in her account. The account pays an interest rate of 3.1%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 47 years?
a. $93,000
b. $108,000
c. $107,000
d.
$96,000
____ 37. The endpoints of AC are A ÁÊË −1, 4 ˜ˆ¯ and C ÁÊË 1, 10 ˜ˆ¯ . What are the coordinates of the midpoint?
a. (1, 3)
b. (0, −7)
c. (0, 7)
d. (0, −3)
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
x – 3y = 3
b.
–3x + y = 14
c.
7
–x – 3y = –15
d.
–3x – y = 10
Name: ________________________
ID: I
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 200
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˘˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 200
Î
Newspapers
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˘˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 3 boys
and 2 girls were absent. On Tuesday, 5 boys and 5 girls were absent. On Wednesday, 4 boys and 3 girls
were absent. On Thursday, 5 boys and 3 girls were absent. On Friday, 5 boys and 5 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 2 5 4 5 5 ˙˙˙˙˙
ÍÍÍÍ 3 5 4 5 5 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 3 5 3 3 5 ˙˚
ÍÎ 2 5 3 3 5 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
5
4
5
5
5
5
4
5
3
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 5 3 3 5 2 ˙˙˙˙˚
ÍÎ 3 5 3 3 5 ˙˙˚
8
Name: ________________________
ID: I
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 16
32
28 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 20
20
40 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
Í
˙
Í
˙
May ÍÍÍÍ 4
32
28 ˙˙˙˙
May ÍÍÍÍ 64
128
112 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
20
40 ˙˚
80
160 ˙˙˙˚
June ÍÎ 5
June ÍÎ 80
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 64
32
28 ˙˙
May ÍÍ 4
8
7 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
20
40 ˙˙˙˚
5
10 ˙˙˙˚
June ÍÍÍÎ 80
June ÍÍÍÎ 5
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
3
3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ −1
a.
8
b.
–5
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
r ˙˙
−1
˙˙˙ + 2 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
2 ˙˚
ÍÎ 4
c. 2
˘˙˙ ÈÍÍ
˙ Í
2 ˙˙˙˙ ÍÍÍÍ 1
˙˙˙ = ÍÍÍ
˙ Í
−1 ˙˙˙˚ ÍÍÍÎ −7
˘˙˙
˙
6 ˙˙˙˙
˙˙˙
˙
4 ˙˙˙˚
d.
0
____ 43. The equation y = 462.69x + 3574 represents the value of a work of art from 1964 to 2005. What does the
number 462.69 represent?
value of the work of art in 1964
the yearly increase in value
a.
b.
c.
d.
value of the work of art in 2005
the yearly decrease in value
____ 44. A computer is purchased for $523 and depreciates at $70 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 70 (523 − t )
c.
V = 70t
d.
a.
b.
V = 70t − 523
V = 523 − 70t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 700 feet?
a. 7 seconds
b. 2 seconds
c. 3 seconds
d. 11 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $30 to join and then $25 per book. The
second club costs $30 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 6
b. 12
c. 10
d. 8
____ 47. A group of 2 children and 5 adults pay a total of $170 to take a karate class. A group of 2 children and 3
adults take the same karate class for $110. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $30
b. $40
c. $10
d. $70
9
Name: ________________________
ID: I
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if m is multiplied by -1 and b remains
the same?
a. the slope would become positive
b. the y-intercept becomes negative
c.
d.
the y-intercept becomes positive
the slope would become negative
____ 49. The Outboard Motor Company can produce 14 motors in 19 weeks. Assuming a direct variation, how many
motors can the company produce in 38 weeks?
18 motors
b. 58 motors
c.
a.
d.
28 motors
48 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.2)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 20%
The value of the car is decreasing by 20%
The value of the car is increasing by 80%
The value of the car is decreasing by 80%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 20e 8 d 5 + 35e 4 d 8 − 10e 7 d 9 ˜˜˜˜ ?
Ë
a.
4 5
b.
5e d
8 9
5e d
¯
c.
9 8
5e d
7 8
d.
5e d
d.
3
____ 52. Simplify:
Ê
Ê 3
3ˆ
3ˆ
−2m + 4 ÁÁÁÁ 4m − 4n ˜˜˜˜ + 2 ÁÁÁÁ m − 2n ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
3
3
3
3
16m − 20n
16m + 20n
3
c.
d.
−2m − 14m + 20n
c.
3
3
2m + 14m − 20n
3
3
____ 53. What is the length of AB ?
a.
17
b.
53
5
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = − 1 x– 18 represents 12th
2
Ê
Á
Street. What is the equation representing Avenue J if it passes through the point Ë −4,− 3 ˜ˆ¯ ?
a. y = − 1 x – 5
b. y = − 1 x + 5
c. y = 2x + 5
d. y = 2x – 5
2
2
10
Name: ________________________
ID: I
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $7. 00
$9. 00
$9. 00
$7. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $11. 75 $11. 25 $11. 25 $11. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $12. 25 $12. 75 $12. 00 $13. 75 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 3 large pizzas and 2 medium pizzas. Which pizza shop will charge the least for the
order?
a. John's Pizza
b. Sal's
c. Alfredo's
d. Romero's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
17
13 ˙˙˙˙
20
Team 1 ÍÍÍÍ 12
Team 1 ÍÍÍÍ 19
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
19
14 ˙˚
15
Team 2 ÍÎ 18
Team 2 ÍÎ 18
What is the total number of losses by Team 2 for these two seasons?
a. 37
b. 28
c. 34
d. 36
Ties
˘˙˙
˙
18 ˙˙˙˙
˙˙˙
˙
14 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.56
$14.92 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $9.10
$15.43 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $9.64
$15.94 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $10.23 $16.43 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $10.69 $16.95 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages decreased, while college degree generally wages increased.
b. high school diploma wages increased, while college degree generally wages decreased.
c. both groups showed an overall decrease in hourly wages
d. both groups showed an overall increase in hourly wages
11
Name: ________________________
ID: I
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2.5
2
4
3
4.5
5
5.5
Visit (in
hours)
Cost of
$63
$82
$80
$108
$108
$116
$62
Visit
The equation of the line of best fit for the data is y = 16.27x + 67.51. What does the slope represent?
a. length of visit
c. flat fee
b. hourly rate
d. cost of a visit
____ 59. An amusement park charges $18 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 8 times on a roller coaster. Her total payment was $34. Maria rode 12 times on a roller
coaster. What was her total payment?
a. $34
b. $42
c. $38
d. $36
____ 60. Which equation describes the function below?
x
–3
4
5
6
a.
2
y = −3x + 185
b.
2
y = 2x + 5
c.
y
23
37
55
77
y = 2x + 29
d.
y = −3x + 49
____ 61. Carol has three times as many 10-dollar bills as 5-dollar bills. She has a total of $210. How many 5-dollar
bills does Carol have?
6
b.
a.
24
c.
18
d.
12
____ 62. In 2000 Jim planted a tree that was 5 1 feet tall. In 2004 the tree was 20 1 feet tall. Assuming the growth of
2
the tree is linear, what was the rate of growth of the tree?
a. 3 3 feet per year
c. 3 feet per year
4
b. 15 3 feet per year
d. 15 feet per year
4
2
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.421 (1.59) , where x is the number of years after 1985. In what year were there approximately 17
thousand cell phones?
a. 1987
b. 1995
c. 1993
d. 1991
____ 64. Given:
5x − y = −14
3x + 4y = −13
What is the value of y?
a. –1
b.
–2
c.
12
–3
d.
–4
ID: I
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
A
B
D
D
C
B
C
C
C
A
D
B
C
B
B
C
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: I
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
A
B
C
D
C
B
D
A
A
B
A
C
B
A
D
B
C
D
C
D
B
B
B
A
A
C
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: J
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
88n
4n
a.
____
84n
c.
84n
2
d.
22n
1.4
144
b.
64
9
81
16
c.
d.
512
3
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 12p 7 q 3 − 12p 2 q 5 − 6p 5 q 7 ˜˜˜˜ ?
Ë
a.
____
b.
1.4
2. If y varies directly as x, and y = 6 when x = 32, then what is the value of x when y = 27?
a.
____
22n
2
7
5
7 7
6p q
b.
5 5
c.
6p q
¯
2 3
6p q
d.
7 5
6p q
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 5 years was $17,086.69. What is the balance at the end of 8 years?
a. $21,293.12
b. $17,855.59
c. $19,498.75
d. $18,659.09
____
5. On a map, Luis’s house is located at ÁÊË −4, 1 ˜ˆ¯ and Melvin’s house is at ÁÊË 7, 6 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
a. (–1.5, –2.5)
b. (–1.5, –3.5)
c. (1.5, 3.5)
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1001 1087 1065 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1008 1072 1029 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1121 1102 1090 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1112 1165 1158 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. belts
b. shirts
c. pants
d.
____
(5.5, 2.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ 4
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ −6
ÍÈÍÍ
˙˘˙˙
ÍÍ −9
−2 ˙˙˙˙
1
˙˙˙
Y = ÍÍÍÍÍ
˙˙˙
ÍÍÍ
3 −8 ˙˚
ÍÎ 1 −5
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ −13
˙˙˙
ÍÍÍ −5
˙˙˙
ÍÍÍ 5 −2 4 ˙˙˙˙˙
0
0
2
−
4
˙˙˙ b. ÍÍÍ
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
Í
˙
−8 14 ˙˚
2 2 ˙˙˙˚
ÍÎ 7
ÍÎ −5 −2 −2 ˙˚
ÍÎ 5
1
1
hats
˙˘˙˙
−2 ˙˙˙˙
˙˙˙
˙
6 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 13
ÍÍÍÍ
ÍÍÍ
ÍÎ −7
0
8
˙˘˙˙
0 ˙˙˙˙
˙˙˙
˙
−14 ˙˙˙˚
Name: ________________________
____
ID: J
8. A caterer’s recipes are each designed to make 6 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 2
Eggs
5
3 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 1
5
5 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1
4 ˙˙˙˙
Sugar (cups) ÍÍ 4
Î
˚
How much sugar is needed to make 60 servings of bread and 60 servings of cake?
a. 50
b. 60
c. 6
d. 5
____
ÍÈÍÍ
˙˘˙˙
ÍÍÍ 6
0 −5 ˙˙˙˙
Í
9. Given X = ÍÍÍ
˙˙˙ and Y =
ÍÍÍ
˙
4 ˙˙˙˚
ÍÎ −9 −2
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ 36
˙˙˙
Í
18
−22
˙˙˙ b. ÍÍÍÍÍ −12
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙˙
ÍÍÎ −36
ÍÎ −72 −8 10 ˙˙˚
ÍÈÍÍ
ÍÍÍ 0
ÍÍÍ
ÍÍÍ
ÍÍÎ 9
˙˘˙˙
−4 ˙˙˙˙
˙˙˙ . What is –2Y+ 6X?
˙
−2
7 ˙˙˙˚
˘˙˙
ÍÈÍÍ
˙˘
˙
ÍÍÍ −36 −18 22 ˙˙˙˙˙
−18 −38 ˙˙˙˙
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙
ÍÍÍ
˙˙˙
−16 38 ˙˚
8
−10 ˙˙˙˚
ÍÎ 72
−9
ÍÈÍÍ
ÍÍÍ 12
ÍÍÍÍ
ÍÍÍ
ÍÎ 36
18
16
˙˘˙˙
38 ˙˙˙˙
˙˙˙
˙
−38 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
56o
21o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
59o
54o
50o
49o
44o
43o
o
o
o
o
o
Avg. Temp
20
26
29
31
35
45o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.9o
b. 1.3o
c. 1o
d. 1.4o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 4% has a principal of $320,000. If no more deposits or withdrawals
are made, about how much money will be in the account after three years?
a. $360,200
b. $361,500
c. $352,500
d. $360,000
____ 12. Given:
3x − 2y = 14
3x − 5y = −1
What is the value of x + y?
a. 3
b. 8
c.
13
d.
5
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 97 feet per second is
2
given by the formula h(t) = −16t + 97t , where t is the time in seconds. What is the height of the object after 3
seconds?
a. 438 ft
b. 50 ft
c. 147 ft
d. 244 ft
____ 14. A taxi ride cost $21.20. The driver charged $5 plus $0.60 per 0.4 mile traveled. How far did the taxi travel on
this trip?
10.9 miles
a.
b.
10.8 miles
c.
2
27 miles
d.
30.7 miles
Name: ________________________
ID: J
____ 15. The average price of a movie ticket in the year 1992 was $3.00. The average price of a movie ticket in the
year 2002 was $5.40. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2020?
a. $8.40
b. $9.72
c. $7.80
d. $3.24
____ 16. What is the value of y in the system of equations below?
6x + 2y = 18
a.
–3
b.
7
c.
3
y = − x+3
2
1
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
4
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.8. What was the approximate speed of the car if it created skid
marks 229 ft long?
a. 16 mph
b. 59 mph
c. 54 mph
d. 74 mph
____ 18. Multiply: (−4r − 15) (r + 3)
a. –4r2– 45
b. –4r2– 27r– 45
c.
d.
–3r2– 27r– 12
–3r2– 12
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 3, and the
amount of space between rows is 8, what is the approximate rate of water flow that will result in a precipitation
rate of 30?
a. 1.2
b. 0.1
c. 7.5
d. 8.6
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
equation that represents the highway is −x −
a.
–20x + 5y = –4
b.
5x + 20y = 19
1
y = 4. Which equation could represent the new runway?
4
c. 5x – 20y = –13
d. 20x + 5y = 16
____ 21. The midpoint of XY is point MÊÁË 9, 3 ˆ˜¯ . If the coordinates of X are ÊÁË −1, 5 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË 19, 4 ˆ˜¯
b. ÊÁË 4, 1 ˆ˜¯
c. ÊÁË 4, 4 ˆ˜¯
d. ÊÁË 19, 1 ˆ˜¯
3
Name: ________________________
ID: J
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.2
ÍÍÍ
Í
12-month ÍÍÍÍ 2.5
ÍÍÍ
Í
30-month ÍÍÍÍ 2.8
Î
b.
This Week
˘˙
5.8 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
4.6
4.6
3.8
Last Week
ÍÈ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 3.8
ÍÍÍ
Í
30-month ÍÍÍÍ 5.4
Î
Year Ago c.
4.6
7
Last Week
ÈÍ
6-month ÍÍÍÍ 2.2
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 5.8
Î
Year Ago d.
˙˘
2.2 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
2.5
This Week
This Week
Year Ago
˘˙
2.8 ˙˙˙˙
˙˙˙
˙
3.8 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
2.5
4.6
7
Last Week
ÍÈ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 2.5
ÍÍÍ
Í
30-month ÍÍÍÍ 2.2
Î
Year Ago
˙˘
5.4 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
3.8
4.6
4.6
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 14 16 ˙˙˙˙
ages 2-5 ÍÍÍÍ 18 14 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 12 17 ˙˙ Matrix M: ages 6-10 ÍÍ 15 12 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 13 15 ˙˙˙˙
ages 11-15 ÍÍÍÍ 14 12 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍ −32 30 ˙˙˙˙˙
ÍÍÍ 4 −2 ˙˙˙˙˙
ÍÍÍ 32
ÍÍÍ −4
−30 ˙˙˙˙
2 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
29 ˙˙˙˙
3
−5
−27
−29
−3
5
a. ÍÍÍÍÍ 27
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 27
ÍÍÍ 1 −3 ˙˙˙
ÍÍÍ −27 −27 ˙˙˙
ÍÍÍ −1
27 ˙˙˙
3 ˙˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
ÍÍÍ
____ 24. Simplify: 6 ÍÍÍÍÍ −4
ÍÍÍ
ÍÎ −3
˘˙
ÍÈÍÍ
ÍÍÍ −6 60 ˙˙˙˙˙
˙˙˙
a. ÍÍÍÍ
˙˙˙
ÍÍÍ
˙˙˚
39
24
ÍÎ
˘˙˙
ÈÍÍ
˙
ÍÍÍ
−6 ˙˙˙˙
−3
˙˙˙ + 3 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−8 ˙˚
ÍÎ 7
b.
˘˙˙
˙
8 ˙˙˙˙
˙˙˙
˙
−8 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ −33
ÍÍÍÍ
ÍÍÍ
ÍÎ 3
˙˘˙˙
−12 ˙˙˙˙
˙˙˙
˙
−72 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ 6
ÍÍÍ
ÍÍÍ
ÍÍÎ −39
˙˘˙˙
−60 ˙˙˙˙
˙˙˙
˙
−24 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 33
ÍÍÍÍ
ÍÍÍ
ÍÎ −3
˙˘˙˙
12 ˙˙˙˙
˙˙˙
˙
72 ˙˙˙˚
Name: ________________________
ID: J
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
603
675
823
870
919
963
1076
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 723
b. 563
c. 803
d. 603
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.1x + 18.5, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the average typing speed of the students
b. the highest typing speed recorded
c. the improvement in typing speed per week for the average student
d. the typing speed of a student with no experience
____ 27. Suppose a ball is dropped from a height of 8 meters and bounces to 80% of its previous height after each
n
bounce. Using the formula h = 8 (0.8) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 5th
bounce?
a. 2.62 meters
b. 3.28 meters
c. 2.5 meters
d. 2.24 meters
____ 28. Martha has $208. She needs $2100 to start an account. She earns $60 per day working, of which she saves
$50. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2100?
a. 2100 = 50d + 208
c. 2100 = 60d + 208
b. 2100 = 60d − 208
d. 2100 = 50d − 208
____ 29. Maria sells paintings in an art gallery. She earns $275 each week plus a commission equal to 2.5% of her
sales. This week her goal is to earn at least $548. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $12,400
b. $10,900
c. $11,400
d. $12,900
5
Name: ________________________
ID: J
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will not intersect the original line.
b. The new line will be the same as the original line.
c. The new line will be perpendicular to the original line.
d. The new line will be parallel to the original line.
____ 31. Solve: x 2 + 16x − 2 = −66
ÏÔ
¸Ô
a. ÔÌ −10,− 7 Ô˝
b.
Ó
˛
ÏÔ
¸Ô
ÔÌÓ −8,− 8 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ 8, 8 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 10, 7 Ô˝˛
d.
–8
d.
12x y
____ 32. Given:
7x − 5y = 4
6x − y = −13
What is the value of x?
a. –5
b.
Ê
ˆÊ
–3
c.
2
c.
12x y
ˆ
____ 33. Simplify: ÁÁÁÁ 3x7 y0 ˜˜˜˜ ÁÁÁÁ 4x 5 y 6 ˜˜˜˜
Ë
¯Ë
¯
a.
12 6
b.
12x y
11 7
12x y
7 11
35 0
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.02 to mail a 7-pound
box. How much would it cost to mail a 13-pound box?
$8.45
b. $7.02
c. $7.47
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (4k + 5) ÁÁÁÁ 2k 2 − k + 2 ˜˜˜˜
a.
b.
3
2
3
2
8k + 6k + 3k + 10
8k + 3k − 5k + 10
c.
d.
6
3
2
3
2
8k + 10k − 5k + 10
8k + 10k + 3k + 10
$8.99
Name: ________________________
ID: J
____ 36. Each year, Cathy invests $1,800 in her account. The account pays an interest rate of 3.6%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 34 years?
a. $114,000
b. $105,000
c. $122,000
d.
$141,000
____ 37. The endpoints of AC are A ÁÊË −3, 3 ˜ˆ¯ and C ÁÊË 1, 9 ˜ˆ¯ . What are the coordinates of the midpoint?
a. (1, −6)
b. (1, −3)
c. (−1, 6)
d. (2, 3)
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
x + 3y = –7
b.
3x + y = 12
c.
7
–x + 3y = 7
d.
3x – y = –1
Name: ________________________
ID: J
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 275
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 275
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˘˙
200 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
˘˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˘˙
200 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 5 boys
and 2 girls were absent. On Tuesday, 5 boys and 2 girls were absent. On Wednesday, 4 boys and 4 girls
were absent. On Thursday, 2 boys and 4 girls were absent. On Friday, 3 boys and 4 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 5 5 4 2 3 ˙˙˙˙˙
ÍÍÍÍ 3 2 4 5 5 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 2 2 4 4 4 ˙˚
ÍÎ 4 4 4 2 2 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
5
4
2
3
2
5
4
2
3
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 5 2 4 4 4 ˙˙˙˙˚
ÍÎ 4 2 4 4 4 ˙˙˚
8
Name: ________________________
ID: J
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 24
28
36 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 24
28
40 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙
˙
May ÍÍÍÍ 96
28
36 ˙˙˙˙
May ÍÍÍÍ 6
28
36 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
28
40 ˙˚
28
40 ˙˙˙˚
June ÍÎ 96
June ÍÎ 6
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 6
7
9 ˙˙
May ÍÍ 96
112
144 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
7
10 ˙˙˙˚
112
160 ˙˙˙˚
June ÍÍÍÎ 6
June ÍÍÍÎ 96
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
r
−2 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 3
a.
0
b.
5
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
−3 ˙˙
1
˙˙˙ + 4 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−4 ˙˚
ÍÎ −4
c. 7
˘˙˙ ÈÍÍ
˙ Í
1 ˙˙˙˙ ÍÍÍÍ 4
˙˙˙ = ÍÍÍ
˙ Í
−4 ˙˙˙˚ ÍÍÍÎ 8
˘˙˙
˙
8 ˙˙˙˙
˙˙˙
˙
1 ˙˙˙˚
d.
–6
____ 43. The equation y = 343.61x + 2283 represents the value of a work of art from 1964 to 2005. What does the
number 2283 represent?
the yearly decrease in value
the yearly increase in value
a.
b.
c.
d.
value of the work of art in 2005
value of the work of art in 1964
____ 44. A computer is purchased for $845 and depreciates at $45 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 45t − 845
c.
V = 845 − 45t
d.
a.
b.
V = 45t
V = 45 (845 − t )
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1100 feet?
a. 12 seconds
b. 8 seconds
c. 9 seconds
d. 10 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $40 to join and then $10 per book. The
second club costs $15 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 6
b. 8
c. 2
d. 12
____ 47. A group of 2 children and 7 adults pay a total of $130 to take a karate class. A group of 4 children and 4
adults take the same karate class for $120. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $16
b. $44
c. $14
d. $30
9
Name: ________________________
ID: J
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the y-intercept becomes negative
b. the slope would become negative
c.
d.
the slope would become positive
the y-intercept becomes positive
____ 49. The Outboard Motor Company can produce 17 motors in 17 weeks. Assuming a direct variation, how many
motors can the company produce in 10 weeks?
5 motors
b. 10 motors
c.
a.
d.
25 motors
40 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.15) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 15%
The value of the car is increasing by 15%
The value of the car is increasing by 85%
The value of the car is decreasing by 85%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 36a 10 f 6 − 32a 7 f 8 + 4a 8 f 10 ˜˜˜˜ ?
Ë
a.
8 8
b.
4a f
7 6
4a f
¯
c.
10 10
4a f
10 8
d.
4a f
d.
3
____ 52. Simplify:
Ê
Ê
4ˆ
4
4ˆ
a − 2 ÁÁÁÁ −3a + 3b ˜˜˜˜ + 3 ÁÁÁÁ −3a − 2b ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
4
9a − 7a + 12b
4
−2a − 12b
4
c.
d.
4
4
−9a + 7a − 12b
4
−2a + 12b
4
4
____ 53. What is the length of AB ?
a.
5
b.
1
c.
41
5
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = 1 x– 8 represents 12th
2
Ê
Á
Street. What is the equation representing Avenue J if it passes through the point Ë −4,− 3 ˜ˆ¯ ?
a. y = 1 x – 1
b. y = −2x – 1
c. y = −2x – 11
d. y = 1 x – 11
2
2
10
Name: ________________________
ID: J
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $8. 50
$8. 50
$9. 00
$7. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $9. 50
$11. 00 $9. 50
$10. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $13. 75 $12. 50 $14. 75 $14. 50 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 5 large pizzas and 5 medium pizzas. Which pizza shop will charge the least for the
order?
a. Sal's
b. Romero's
c. Alfredo's
d. John's Pizza
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
18
15 ˙˙˙˙
10
Team 1 ÍÍÍÍ 15
Team 1 ÍÍÍÍ 13
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
20
17 ˙˚
15
Team 2 ÍÎ 10
Team 2 ÍÎ 16
What is the total number of wins by Team 2 for these two seasons?
a. 26
b. 28
c. 34
d. 35
Ties
˘˙˙
˙
16 ˙˙˙˙
˙˙˙
˙
17 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.52
$12.55 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $8.97
$13.11 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $9.53
$13.63 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $10.02 $14.12 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $10.54 $14.66 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall increase in hourly wages
b. high school diploma wages increased, while college degree generally wages decreased.
c. both groups showed an overall decrease in hourly wages
d. high school diploma wages decreased, while college degree generally wages increased.
11
Name: ________________________
ID: J
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
2.5
3
3.5
4
5
5.5
Visit (in
hours)
Cost of
$57
$82
$88
$96
$94
$114
$70
Visit
The equation of the line of best fit for the data is y = 13x + 64.5. What does the y-intercept represent?
a. flat fee
c. cost of a visit
b. length of visit
d. hourly rate
____ 59. An amusement park charges $18 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 10 times on a roller coaster. Her total payment was $78. Maria rode 14 times on a roller
coaster. What was her total payment?
a. $78
b. $108
c. $102
d. $72
____ 60. Which equation describes the function below?
x
–1
6
3
7
a.
2
y = −2x + 253
b.
2
y = 3x + 8
c.
y
11
116
35
155
y = −2x + 128
d.
y = 3x + 14
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $495. How many 5-dollar bills
does Carol have?
9
a.
b.
36
c.
54
d.
45
____ 62. In 2000 Jim planted a tree that was 5 3 feet tall. In 2008 the tree was 47 3 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 42 1 feet per year
c. 5 1 feet per year
4
4
b. 5 feet per year
d. 42 feet per year
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.457 (1.62) , where x is the number of years after 1985. In what year were there approximately 3 thousand
cell phones?
a. 1995
b. 1993
c. 1987
d. 1989
____ 64. Given:
4x + y = −12
7x + 3y = −6
What is the value of y?
a. 12
b.
–18
c.
12
6
d.
–6
ID: J
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: D
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
D
C
B
B
A
C
A
A
B
C
B
B
A
C
A
C
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: J
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
C
A
A
B
A
D
B
B
B
D
A
B
A
B
C
D
C
A
A
A
A
C
B
A
C
D
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: K
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
88m
8m
a.
____
11m
c.
11m
1.2
d.
80m
1
324
5
b.
c.
5
d.
20
72
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 20p 10 q 3 + 30p 4 q 5 + 15p 7 q 7 ˜˜˜˜ ?
Ë
a.
____
b.
1
2. If y varies directly as x, and y = 18 when x = 36, then what is the value of x when y = 10?
a.
____
80m
1.2
7
6
7 5
5p q
b.
10 7
c.
5p q
¯
7 5
5p q
d.
4 3
5p q
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 9 years was $17,898.73. What is the balance at the end of 13 years?
a. $26,599.22
b. $20,425.42
c. $18,704.17
d. $21,344.57
____
5. On a map, Luis’s house is located at ÁÊË −1, 2 ˜ˆ¯ and Melvin’s house is at ÁÊË 5, 6 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
a. (3, 2)
b. (–2, –2)
c. (–2, –4)
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1038 1104 1076 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1064 1004 1018 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1059 1149 1063 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1140 1148 1153 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. pants
b. belts
c. hats
d.
____
(2, 4)
shirts
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ 6
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ −2
ÍÈÍÍ
˙˘˙˙
˙˘˙˙
ÍÍÍ −5
˙˙˙
−8 ˙˙˙˙
8
−5
˙˙˙
˙˙˙
Y = ÍÍÍÍ
˙˙˙
˙
ÍÍÍ
˙˙˚
−6 −7 ˙˙˙˚
2
−2
3
ÍÎ
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ 1 12 −13 ˙˙˙˙˙
ÍÍÍ −1 −12 13 ˙˙˙˙˙
ÍÍÍ −11 4
˙˙˙
ÍÍÍ 11
3
˙˙˙
ÍÍÍ
˙˙˙ c. ÍÍÍ
˙˙˙
ÍÍÍ
a. ÍÍÍÍ
b.
d.
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙
Í
˙
Í
˙
ÍÍÎ −4
8
4 ˙˚
4 10 ˙˚
ÍÎ 0 −8 −4 ˙˚
ÍÎ 0
ÍÎ 4
4
1
−4
−4
˙˘˙˙
−3 ˙˙˙˙
˙˙˙
˙
−10 ˙˙˙˚
Name: ________________________
____
ID: K
8. A caterer’s recipes are each designed to make 3 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 1
Eggs
4
1 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 4
4
5 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
3
4 ˙˙˙˙
Sugar (cups) ÍÍ 2
Î
˚
How much flour is needed to make 33 servings of bread and 33 servings of cake?
a. 88
b. 55
c. 5
d. 8
____
ÍÈÍÍ
˙˘
ÍÍÍ 3 0 −6 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
9 ˙˙˙˚
ÍÎ −9 0
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ −6 12
˙˙˙
Í
−36
˙˙˙ b. ÍÍÍÍÍ 6
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙˙
ÍÍÎ −6
ÍÎ 6 −30 −24 ˙˙˚
ÍÈÍÍ
ÍÍÍ 0
ÍÍÍ
ÍÍÍ
ÍÍÎ 2
˙˘˙˙
8 ˙˙˙˙
˙˙˙ . What is 6Y+ 2X?
˙
5 1 ˙˙˙˚
˘˙˙
ÍÈÍÍ
˙˘
˙
ÍÍÍ −18 −12 60 ˙˙˙˙˙
−12 36 ˙˙˙˙
˙˙˙ c. ÍÍÍÍ
˙˙˙˙ d.
˙˙˙
ÍÍÍ
˙
30
24 ˙˚
30
−12 ˙˙˙˚
ÍÎ 30
−2
ÍÈÍÍ
ÍÍÍ 18
ÍÍÍ
ÍÍÍ
ÍÍÎ −30
12
−30
˙˘˙˙
−60 ˙˙˙˙
˙˙˙
˙
12 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
57o
20o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
59o
55o
49o
46o
44o
43o
o
o
o
o
o
Avg. Temp
18
23
27
34
36
46o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.5o
b. 1.1o
c. 2o
d. 1.7o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 3% has a principal of $170,000. If no more deposits or withdrawals
are made, about how much money will be in the account after seven years?
a. $216,700
b. $208,300
c. $209,100
d. $203,700
____ 12. Given:
8x + 3y = −7
8x + y = 3
What is the value of x + y?
a. 6
b. 1
c.
–5
d.
–4
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 69 feet per second is
2
given by the formula h(t) = −16t + 69t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 143 ft
b. 212 ft
c. 281 ft
d. 74 ft
____ 14. A taxi ride cost $27.20. The driver charged $4 plus $0.80 per 0.2 mile traveled. How far did the taxi travel on
this trip?
5.8 miles
a.
b.
12.3 miles
c.
2
29 miles
d.
22.5 miles
Name: ________________________
ID: K
____ 15. The average price of a movie ticket in the year 1996 was $4.89. The average price of a movie ticket in the
year 2004 was $12.41. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2011?
a. $17.30
b. $18.99
c. $19.93
d. $9.12
____ 16. What is the value of y in the system of equations below?
5x − y = −18
a.
3
b.
0
5
y = − x−2
3
c. –6
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–3
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.5. What was the approximate speed of the car if it created skid
marks 229 ft long?
a. 52 mph
b. 16 mph
c. 59 mph
d. 29 mph
____ 18. Multiply: (2m − 15) (−2m − 6)
a. –4m2+ 90
b. 0m2– 21
c.
d.
–4m2+ 18m+ 90
0m2+ 18m– 21
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 4, and the
amount of space between rows is 8, what is the approximate rate of water flow that will result in a precipitation
rate of 25?
a. 1.9
b. 0.1
c. 7.7
d. 8.3
____ 20. At the airport, the new runway will be perpendicular to a nearby highway. On a scale drawing of the airport,
the equation that represents the highway is −3x − y = –9. Which equation could represent the new runway?
a. –9x + 3y = –5
b. 3x + 9y = –1
c. 9x + 3y = 4
d. 3x – 9y = –3
____ 21. The midpoint of XY is point MÊÁË −9, 2 ˆ˜¯ . If the coordinates of X are ÊÁË 5, 4 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË −2, 0 ˆ˜¯
b. ÊÁË −23, 3 ˆ˜¯
c. ÊÁË −23, 0 ˆ˜¯
d. ÊÁË −2, 3 ˆ˜¯
3
Name: ________________________
ID: K
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.9
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.7
Î
Last Week
3.8
4.6
5
Last Week
5
4.6
3.8
Year Ago c.
˘˙
5.8 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
Year Ago d.
˙˘
7 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.7 ˙˙˙˙
˙˙˙
˙
3.8 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
2.9
4.6
5
Last Week
ÍÈ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 3.8
ÍÍÍ
Í
30-month ÍÍÍÍ 5.8
Î
Year Ago
˙˘
2.9 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
2.9
4.6
5
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 13 11 ˙˙˙˙
ages 2-5 ÍÍÍÍ 16 16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 10 12 ˙˙ Matrix M: ages 6-10 ÍÍ 18 15 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 14 15 ˙˙˙˙
ages 11-15 ÍÍÍÍ 14 17 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘
ÈÍÍ
˘
ÈÍÍ
˘˙
ÍÍÍ −3 −5 ˙˙˙˙˙
ÍÍÍ −29 27 ˙˙˙˙˙
ÍÍÍ 3 5 ˙˙˙˙˙
ÍÍÍ 29
−27 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
27 ˙˙˙˙
8
3
−
28
−
27
a. ÍÍÍÍÍ −8 −3 ˙˙˙˙˙
b. ÍÍÍÍÍ 28
c.
d.
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 0 −2 ˙˙˙
ÍÍÍ 28
ÍÍÍ 0 2 ˙˙˙
ÍÍÍ −28 −32 ˙˙˙˙˙
32 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
7
−
4
−
6
1
˙˙˙ + 6 ÍÍÍ
˙˙˙
____ 24. Simplify: 6 ÍÍÍÍÍ
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 8 −8 ˙˙˙˙˚
8 ˙˙˚
ÍÎ −8
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ 78
˙˙˙
ÍÍÍ −78 30 ˙˙˙˙˙
−
30
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍÍ −96 96 ˙˙˙˙˙
96
−
96
ÍÎ
˙˚
Î
˚
c.
4
ÍÈÍÍ
ÍÍÍ −6
ÍÍÍÍ
ÍÍÍ
ÍÎ 0
˙˘˙˙
18 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 6
ÍÍÍÍ
ÍÍÍ
ÍÎ 0
˙˘˙˙
−18 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
Name: ________________________
ID: K
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
635
696
839
888
910
1018
1050
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 746
b. 706
c. 786
d. 586
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.4x + 15.2, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the improvement in typing speed per week for the average student
b. the highest typing speed recorded
c. the average typing speed of the students
d. the typing speed of a student with no experience
____ 27. Suppose a ball is dropped from a height of 6 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 6 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 7th
bounce?
a. 3.01 meters
b. 2.75 meters
c. 2.49 meters
d. 2.87 meters
____ 28. Martha has $286. She needs $2600 to start an account. She earns $50 per day working, of which she saves
$30. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2600?
a. 2600 = 30d − 286
c. 2600 = 30d + 286
b. 2600 = 50d − 286
d. 2600 = 50d + 286
____ 29. Maria sells paintings in an art gallery. She earns $275 each week plus a commission equal to 3% of her
sales. This week her goal is to earn at least $515. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $6,500
b. $9,000
c. $8,000
d. $7,000
5
Name: ________________________
ID: K
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will be the same as the original line.
b. The new line will be parallel to the original line.
c. The new line will be perpendicular to the original line.
d. The new line will not intersect the original line.
____ 31. Solve: x 2 − 9x + 6 = −8
ÏÔ
¸Ô
a. ÔÌ 4, 6 Ô˝
Ó
˛
b.
ÏÔ
¸Ô
ÔÌÓ −4, − 6 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ −2, − 7 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 2, 7 Ô˝˛
d.
3
d.
3x y
____ 32. Given:
8x − 4y = 8
7x − 3y = 5
What is the value of x?
a. –1
b.
Ê
ˆÊ
–5
c.
–4
c.
3x y
ˆ
____ 33. Simplify: ÁÁÁÁ −3x 5 y 2 ˜˜˜˜ ÁÁÁÁ −x 6 y4 ˜˜˜˜
Ë
¯Ë
¯
a.
7 10
b.
3x y
30 8
3x y
11 6
10 7
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.95 to mail a 4-pound
box. How much would it cost to mail a 13-pound box?
$20.36
b. $14.30
c. $16.09
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (4m − 2) ÁÁÁÁ 5m 2 − 2m − 3 ˜˜˜˜
a.
b.
3
2
3
2
20m − 18m − 8m + 6
20m − 10m + 4m + 6
c.
d.
6
3
2
20m − 10m − 8m + 6
3
2
20m − 8m + 4m + 6
$22.91
Name: ________________________
ID: K
____ 36. Each year, Cathy invests $1,000 in her account. The account pays an interest rate of 5.7%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 40 years?
a. $153,000
b. $166,000
c. $157,000
d.
$151,000
____ 37. The endpoints of AC are A ÁÊË −1, 4 ˜ˆ¯ and C ÁÊË 6, 8 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
7
( , 2)
2
b.
5
( , 6)
2
c.
5
(− , −2)
2
d.
5
(− , −6)
2
2x – y = 9
d.
x + 2y = –20
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
2x + y = –1
b.
–x + 2y = –7
c.
7
Name: ________________________
ID: K
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˙˘
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Newspapers
˙˘
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Monday
˙˘
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 4 girls were absent. On Tuesday, 2 boys and 2 girls were absent. On Wednesday, 3 boys and 2 girls
were absent. On Thursday, 5 boys and 3 girls were absent. On Friday, 5 boys and 2 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 2 2 3 5 5 ˙˙˙˙˙
ÍÍÍÍ 3 2 3 5 5 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 4 2 2 3 2 ˙˚
ÍÎ 2 2 2 3 2 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
2
3
5
5
5
5
3
2
2
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 2 3 2 2 4 ˙˙˙˙˚
ÍÎ 2 2 2 2 2 ˙˙˚
8
Name: ________________________
ID: K
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 35
40
25 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 35
40
30 ˙˙˙˚
In May and June his sales are a fifth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˙˙˙˘
˙˙˙˘
Í
Í
May ÍÍÍÍ 7
8
5 ˙˙˙˙
May ÍÍÍÍ 175
40
25 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
8
6 ˙˚
40
30 ˙˙˙˚
June ÍÎ 7
June ÍÎ 175
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˙˙˙˘
ÍÍÍ
˙˙˙
ÍÍÍ
May ÍÍ 7
40
25 ˙˙
May ÍÍ 175
200
125 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
40
30 ˙˙˙˚
200
150 ˙˙˙˚
June ÍÍÍÎ 7
June ÍÍÍÎ 175
____ 42. What value of x makes the equation true?
ÈÍÍ
ÍÍÍ
−5
−2 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 1
a.
7
b.
1
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
x ˙˙
−3
˙˙˙ + 3 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−1 ˙˚
ÍÎ −5
c. –2
˘˙˙ ÈÍÍ
˙ Í
1 ˙˙˙˙ ÍÍÍÍ −8
˙˙˙ = ÍÍÍ
˙ Í
1 ˙˙˙˚ ÍÍÍÎ −9
˘˙˙
˙
−2 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˚
d.
0
____ 43. The equation y = 420.46x + 4614 represents the value of a work of art from 1964 to 2005. What does the
number 420.46 represent?
value of the work of art in 1964
value of the work of art in 2005
a.
b.
c.
d.
the yearly decrease in value
the yearly increase in value
____ 44. A computer is purchased for $500 and depreciates at $40 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 40 (500 − t )
c.
V = 40t − 500
d.
a.
b.
V = 40t
V = 500 − 40t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 500 feet?
a. 3 seconds
b. 7 seconds
c. 6 seconds
d. 5 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $20 to join and then $25 per book. The
second club costs $30 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 10
b. 6
c. 2
d. 4
____ 47. A group of 7 children and 6 adults pay a total of $190 to take a karate class. A group of 4 children and 4
adults take the same karate class for $120. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $50
b. $20
c. $10
d. $30
9
Name: ________________________
ID: K
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if m is multiplied by -1 and b remains
the same?
a. the y-intercept becomes negative
b. the slope would become positive
c.
d.
the y-intercept becomes positive
the slope would become negative
____ 49. The Outboard Motor Company can produce 20 motors in 20 weeks. Assuming a direct variation, how many
motors can the company produce in 27 weeks?
32 motors
b. 27 motors
c.
a.
d.
57 motors
22 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.05)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 95%
The value of the car is decreasing by 5%
The value of the car is increasing by 5%
The value of the car is increasing by 95%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 20c 10 b 5 + 24c 6 b 7 + 8c 8 b 9 ˜˜˜˜ ?
Ë
a.
9
4c b
7
b.
8
4c b
7
¯
c.
10
4c b
9
6
d.
4c b
d.
5
5
____ 52. Simplify:
Ê
Ê 3
3ˆ
3ˆ
2x − 4 ÁÁÁÁ −5x − 2y ˜˜˜˜ + 3 ÁÁÁÁ 2x − 2y ˜˜˜˜
Ë
¯
Ë
¯
3
3
a.
28x − 2y
b.
−6x − 22x − 2y
3
3
3
c.
6x + 22x + 2y
d.
28x + 2y
c.
82
3
3
3
____ 53. What is the length of AB ?
a.
82
b.
5
2
2
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = − 1 x– 12 represents 12th
2
Street. What is the equation representing Avenue J if it passes through the point ÊÁË −2,− 3 ˆ˜¯ ?
a. y = 2x – 4
b. y = − 1 x – 4
c. y = − 1 x + 1
d. y = 2x + 1
2
2
10
Name: ________________________
ID: K
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $6. 50
$6. 00
$8. 00
$9. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $9. 25
$12. 00 $9. 75
$9. 50 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14. 25 $14. 25 $13. 00 $13. 50 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 5 large pizzas and 3 medium pizzas. Which pizza shop will charge the least for the
order?
a. Sal's
b. Alfredo's
c. John's Pizza
d. Romero's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
11
16 ˙˙˙˙
19
Team 1 ÍÍÍÍ 12
Team 1 ÍÍÍÍ 20
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
14
16 ˙˚
11
Team 2 ÍÎ 19
Team 2 ÍÎ 17
What is the total number of losses by Team 2 for these two seasons?
a. 30
b. 36
c. 25
d. 26
Ties
˘˙˙
˙
13 ˙˙˙˙
˙˙˙
˙
10 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $9.55
$12.12 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $10.00 $12.60 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $10.45 $13.18 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $11.03 $13.66 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $11.56 $14.21 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages increased, while college degree generally wages decreased.
b. both groups showed an overall decrease in hourly wages
c. both groups showed an overall increase in hourly wages
d. high school diploma wages decreased, while college degree generally wages increased.
11
Name: ________________________
ID: K
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
3
3.5
4
5
4.5
6
Visit (in
hours)
Cost of
$74
$82
$90
$109
$105
$115
$64
Visit
The equation of the line of best fit for the data is y = 14.14x + 63. What does the value of x represent?
a. flat fee
c. cost of a visit
b. length of visit
d. hourly rate
____ 59. An amusement park charges $17 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 7 times on a roller coaster. Her total payment was $31. Maria rode 11 times on a roller
coaster. What was her total payment?
a. $39
b. $33
c. $37
d. $31
____ 60. Which equation describes the function below?
x
–2
5
3
6
a.
b.
y = 2x + 18
y = x+9
c.
y
7
28
12
39
2
y = 2x − 33
d.
2
y = x +3
____ 61. Carol has four times as many 10-dollar bills as 5-dollar bills. She has a total of $405. How many 10-dollar
bills does Carol have?
27
b.
a.
45
c.
36
d.
9
____ 62. In 2000 Jim planted a tree that was 4 1 feet tall. In 2004 the tree was 29 1 feet tall. Assuming the growth of
2
the tree is linear, what was the rate of growth of the tree?
a. 25 feet per year
c. 25 1 feet per year
4
1
b. 6 feet per year
d. 6 feet per year
4
2
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.415 (1.68) , where x is the number of years after 1985. In what year were there approximately 26
thousand cell phones?
a. 1991
b. 1989
c. 1995
d. 1993
____ 64. Given:
3x + 3y = 15
5x + 4y = 17
What is the value of y?
a. –11
b.
8
c.
12
5
d.
–3
ID: K
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
C
D
C
D
A
D
D
C
C
C
D
A
C
C
A
A
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: K
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
B
B
A
A
C
D
D
C
D
D
B
B
B
D
C
D
D
D
C
C
B
A
D
C
D
D
B
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: L
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
100x
20x
a.
____
80x
c.
5x
4
d.
80x
9
121
b.
176
5
c.
d.
55
80
11
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 10m 8 n 2 − 8m 6 n 5 + 4m 7 n 6 ˜˜˜˜ ?
Ë
a.
____
b.
4
2. If y varies directly as x, and y = 16 when x = 44, then what is the value of x when y = 20?
a.
____
5x
9
12
3
6 2
2m n
b.
7 5
2m n
c.
¯
6 5
2m n
d.
8 6
2m n
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 9 years was $17,436.68. What is the balance at the end of 13 years?
a. $18,221.33
b. $19,898.15
c. $25,912.57
d. $20,793.57
____
5. On a map, Luis’s house is located at ÊÁË −3, 4 ˆ˜¯ and Melvin’s house is at ÊÁË 3, 7 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(3, 1.5)
b. (0, 5.5)
c. (0, –1.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÈÍÍ
˘˙˙
Í
˙
Belts ÍÍÍÍ 1074 1137 1056 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1086 1007 1032 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1098 1118 1145 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1144 1191 1154 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. pants
b. belts
c. hats
d.
____
(0, –5.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
−6
5 −4 ˙˙
2 8
X = ÍÍÍÍÍ
˙˙˙
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÎ 6 3
ÍÎ −2 −9 −6 ˙˚
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ −8 −3
˙˙˙
ÍÍÍ 8
˙˙˙
ÍÍÍ 4 −13 7 ˙˙˙˙˙
−1
3
1
˙˙˙ b. ÍÍÍ
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙˙
˙˙
ÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙
ÍÍÎ 8 12 4 ˙˙˙˙˚
6
8 ˙˙˙˚
ÍÎ −8 −12 −4 ˙˙˙˚
ÍÎ −4
1
shirts
˘˙˙
˙
−3 ˙˙˙˙
˙˙˙
˙
−2 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −4
ÍÍÍÍ
ÍÍÍ
ÍÎ 4
13
−6
˙˘˙˙
−7 ˙˙˙˙
˙˙˙
˙
−8 ˙˙˙˚
Name: ________________________
____
ID: L
8. A caterer’s recipes are each designed to make 3 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 3
Eggs
1
4 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 5
2
5 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1
1 ˙˙˙˙
Sugar (cups) ÍÍ 5
Î
˚
How much flour is needed to make 42 servings of bread and 42 servings of cake?
a. 98
b. 84
c. 6
d. 7
____
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘
ÍÍÍ 9 4 −1 ˙˙˙˙˙
ÍÍÍ 8 −3 8 ˙˙˙˙˙
Í
˙
Í
˙˙˙ . What is 6Y+ 4X?
9. Given X = ÍÍÍ
˙˙˙ and Y = ÍÍÍ
˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÎ −8 1 −2 ˙˚
ÍÎ 1 −2 4 ˙˙˙˚
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ 84
˙˙˙
ÍÍÍ 22
˙˙˙
ÍÍÍ −22 −34 52 ˙˙˙˙˙
−2
44
34
−52
˙˙˙ b. ÍÍÍ
˙˙˙ c. ÍÍÍ
a. ÍÍÍÍ
˙˙˙˙ d.
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙
˙
Í
˙
Í
−16 32 ˙˙˙˚
ÍÎ −38 16 −32 ˙˚
ÍÎ 38
ÍÎ −26 −8 16 ˙˚
ÍÈÍÍ
ÍÍÍ −84
ÍÍÍÍ
ÍÍÍ
ÍÎ 26
2
8
˙˘˙˙
−44 ˙˙˙˙
˙˙˙
˙
−16 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
58o
19o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
60o
55o
50o
48o
45o
42o
o
o
o
o
o
Avg. Temp
18
23
27
33
33
45o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.4o
b. 1.6o
c. 1o
d. 0.7o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 4% has a principal of $220,000. If no more deposits or withdrawals
are made, about how much money will be in the account after three years?
a. $247,500
b. $253,600
c. $249,100
d. $247,600
____ 12. Given:
3x + y = −19
3x + 4y = 5
What is the value of x – y?
a. –9
b. 8
c.
–17
d.
–1
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 93 feet per second is
2
given by the formula h(t) = −16t + 93t , where t is the time in seconds. What is the height of the object after 3
seconds?
a. 321 ft
b. 228 ft
c. 135 ft
d. 42 ft
____ 14. A taxi ride cost $15.30. The driver charged $6 plus $0.30 per 0.8 mile traveled. How far did the taxi travel on
this trip?
24.8 miles
a.
b.
28.1 miles
c.
2
24.3 miles
d.
31 miles
Name: ________________________
ID: L
____ 15. The average price of a movie ticket in the year 1991 was $3.54. The average price of a movie ticket in the
year 2005 was $5.92. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2018?
a. $8.13
b. $8.30
c. $9.46
d. $4.82
____ 16. What is the value of y in the system of equations below?
3x + y = −13
a.
–3
b.
–5
3
y = − x−4
4
c. –4
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–1
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.7. What was the approximate speed of the car if it created skid
marks 194 ft long?
a. 45 mph
b. 64 mph
c. 15 mph
d. 54 mph
____ 18. Multiply: (6x + 3) (2x − 6)
a. 12x2– 18
b. 8x2– 30x– 3
c.
d.
12x2– 30x– 18
8x2– 3
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 8, and the
amount of space between rows is 5, what is the approximate rate of water flow that will result in a precipitation
rate of 30?
a. 0.5
b. 2.0
c. 12.5
d. 5.1
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
equation that represents the highway is −5x +
a.
3x – 25y = 1
b.
3x + 25y = 12
3
y = 4. Which equation could represent the new runway?
5
c. 25x + 3y = 19
d. –25x + 3y = 2
____ 21. The midpoint of XY is point MÊÁË −5, 5 ˆ˜¯ . If the coordinates of X are ÊÁË −1,− 3 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË −9, 1 ˆ˜¯
b. ÊÁË −3, 1 ˆ˜¯
c. ÊÁË −9, 13 ˆ˜¯
d. ÊÁË −3, 13 ˆ˜¯
3
Name: ________________________
ID: L
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.4
ÍÍÍ
Í
12-month ÍÍÍÍ 3.8
ÍÍÍ
Í
30-month ÍÍÍÍ 6.6
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.4
ÍÍÍ
Í
12-month ÍÍÍÍ 2.2
ÍÍÍ
Í
30-month ÍÍÍÍ 2.6
Î
Last Week
Year Ago c.
˘˙
2.6 ˙˙˙˙
˙˙˙
˙
4.2 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
2.2
4.6
5.8
Last Week
This Week
ÈÍ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 2.2
ÍÍÍ
Í
30-month ÍÍÍÍ 2.4
Î
Year Ago d.
3.8
4.6
4.2
Last Week
˙˘
6.6 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
This Week
Year Ago
˘˙
5 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
4.2
4.6
3.8
Last Week
ÍÈ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 4.2
ÍÍÍ
Í
30-month ÍÍÍÍ 5
Î
Year Ago
˙˘
2.4 ˙˙˙˙
˙˙˙
˙
3.8 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
2.2
4.6
5.8
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 16 12 ˙˙˙˙
ages 2-5 ÍÍÍÍ 10 16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 15 18 ˙˙ Matrix M: ages 6-10 ÍÍ 14 10 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 17 14 ˙˙˙˙
ages 11-15 ÍÍÍÍ 18 15 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÍÍÍ 26
ÍÍÍ −26 28 ˙˙˙˙˙
ÍÍÍ −6
ÍÍÍ 6 −4 ˙˙˙˙˙
−28 ˙˙˙˙
4 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
28 ˙˙˙˙
−1
−8
1
8
a. ÍÍÍÍÍ −29 −28 ˙˙˙˙˙
b. ÍÍÍÍÍ 29
c.
d.
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −35 −29 ˙˙˙
ÍÍÍ 35
ÍÍÍ 1
ÍÍÍ −1 −1 ˙˙˙˙˙
29 ˙˙˙
1 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
8
6
−2
2
˙˙˙
˙˙˙˙ − 2 ÍÍÍÍ
____ 24. Simplify: −2 ÍÍÍÍÍ
˙˙
˙˙˙
ÍÍ
ÍÍÍ
Í
ÍÍÎ 9 3 ˙˙˙˙˚
ÍÎ 1 −4 ˙˙˚
ÈÍÍ
ÍÈÍÍ
˙˘
˙˘˙˙
ÍÍÍ
ÍÍÍ −20 −8 ˙˙˙˙˙
˙˙˙
12
16
Í
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
˙˙˙˙
˙
ÍÍÍ
˙˙˙
ÍÍÍÍ 16
˙˙˙˙
14
20
−2
ÍÎ
˙˚
Î
˚
c.
4
ÍÈÍÍ
ÍÍÍ −12
ÍÍÍÍ
ÍÍÍ
ÍÎ −20
˙˘˙˙
−16 ˙˙˙˙
˙˙˙
˙
2 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 20
ÍÍÍ
ÍÍÍ
ÍÍÎ −16
˙˘˙˙
8 ˙˙˙˙
˙˙˙
˙
−14 ˙˙˙˚
Name: ________________________
ID: L
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
509
667
812
894
950
990
1089
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 875
b. 1195
c. 835
d. 995
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.7x + 18.5, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the average typing speed of the students
b. the typing speed of a student with no experience
c. the improvement in typing speed per week for the average student
d. the highest typing speed recorded
____ 27. Suppose a ball is dropped from a height of 6 meters and bounces to 85% of its previous height after each
n
bounce. Using the formula h = 6 (0.85) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 4th
bounce?
a. 2.23 meters
b. 3.13 meters
c. 3.01 meters
d. 2.75 meters
____ 28. Martha has $272. She needs $2300 to start an account. She earns $50 per day working, of which she saves
$40. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2300?
a. 2300 = 40d − 272
c. 2300 = 50d + 272
b. 2300 = 40d + 272
d. 2300 = 50d − 272
____ 29. Maria sells paintings in an art gallery. She earns $300 each week plus a commission equal to 2.25% of her
sales. This week her goal is to earn at least $648. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $15,500
b. $17,000
c. $14,500
d. $16,500
5
Name: ________________________
ID: L
____ 30. For the line graphed below, the x-intercept is changed to –4 and the slope is unchanged.
How will the graph of the line change?
a. The new line will be perpendicular to the original line.
b. The new line will intersect the original line.
c. The new line will be the same as the original line.
d. The new line will be parallel to the original line.
____ 31. Solve: x 2 + 6x + 8 = 3
ÏÔ
¸Ô
a. ÔÌ −5,− 1 Ô˝
Ó
˛
ÏÔ
¸Ô
ÔÌÓ 5, 1 Ô˝˛
b.
c.
ÏÔ
¸Ô
ÔÌÓ −7,− 2 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 7, 2 Ô˝˛
d.
13
d.
−5m n
____ 32. Given:
4x + y = −15
7x + 5y = 16
What is the value of x?
a. –7
b.
Ê
ˆÊ
–20
c.
6
c.
−5m n
ˆ
____ 33. Simplify: ÁÁÁÁ m 9 n 9 ˜˜˜˜ ÁÁÁÁ −5m 3 n 8 ˜˜˜˜
Ë
¯Ë
¯
a.
27 72
b.
−5m n
12 17
−5m n
18 11
11 18
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.23 to mail a 4-pound
box. How much would it cost to mail a 12-pound box?
$17.64
b. $15.81
c. $11.37
a.
d.
Ê
ˆ
____ 35. Which expression is equivalent to ÁÊË 3p + 4 ˜ˆ¯ ÁÁÁÁ 5p 2 − 3p − 2 ˜˜˜˜
Ë
¯
3
2
c.
15p + 20p − 12p − 8
3
2
d.
15p − 18p − 12p − 8
a.
15p + 20p − 18p − 8
b.
15p + 11p − 18p − 8
6
3
2
3
2
$12.69
Name: ________________________
ID: L
____ 36. Each year, Cathy invests $2,000 in her account. The account pays an interest rate of 6.2%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 41 years?
a. $371,000
b. $354,000
c. $390,000
d.
$378,000
____ 37. The endpoints of AC are A ÁÊË −3, 5 ˜ˆ¯ and C ÁÊË 1, 8 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
(2,
3
)
2
b.
(−1,
13
)
2
c.
13
)
2
d.
3
(1, − )
2
–3x + y = –10
d.
x – 3y = 11
(1, −
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
–x – 3y = 14
b.
–3x – y = –13
c.
7
Name: ________________________
ID: L
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˘˙
275 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 200
Î
Newspapers
˘˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 200
Î
Monday
˘˙
275 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 5 boys
and 2 girls were absent. On Tuesday, 3 boys and 3 girls were absent. On Wednesday, 3 boys and 2 girls
were absent. On Thursday, 5 boys and 3 girls were absent. On Friday, 4 boys and 2 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 2 3 3 5 4 ˙˙˙˙˙
ÍÍÍÍ 5 3 3 5 4 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 5 3 2 2 2 ˙˚
ÍÎ 2 3 2 3 2 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
3
3
3
5
4
4
5
3
3
5
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 2 3 2 3 2 ˙˙˙˙˚
ÍÎ 2 3 2 3 2 ˙˙˚
8
Name: ________________________
ID: L
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 36
28
32 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 16
16
36 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
Í
˙
Í
˙
May ÍÍÍÍ 144
28
32 ˙˙˙˙
May ÍÍÍÍ 9
7
8 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
16
36 ˙˚
4
9 ˙˙˙˚
June ÍÎ 64
June ÍÎ 4
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 144
112
128 ˙˙
May ÍÍ 9
28
32 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
64
144 ˙˙˙˚
16
36 ˙˙˙˚
June ÍÍÍÎ 64
June ÍÍÍÎ 4
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
5
−3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ r
a.
9
b.
6
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
2 ˙˙
−1
˙˙˙ − 5 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−5 ˙˚
ÍÎ 2
c. –1
˘˙˙ ÈÍÍ
˙ Í
−2 ˙˙˙˙ ÍÍÍÍ −9
˙˙˙ = ÍÍÍ
˙ Í
4 ˙˙˙˚ ÍÍÍÎ −7
˘˙˙
˙
9 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˚
d.
–10
____ 43. The equation y = 467.52x + 3883 represents the value of a work of art from 1964 to 2005. What does the
number 467.52 represent?
the yearly increase in value
the yearly decrease in value
a.
b.
c.
d.
value of the work of art in 1964
value of the work of art in 2005
____ 44. A computer is purchased for $771 and depreciates at $45 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 45 (771 − t )
c.
V = 45t
d.
a.
b.
V = 45t − 771
V = 771 − 45t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 600 feet?
a. 10 seconds
b. 6 seconds
c. 4 seconds
d. 2 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $40 to join and then $10 per book. The
second club costs $15 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 4
b. 14
c. 6
d. 8
____ 47. A group of 8 children and 7 adults pay a total of $180 to take a karate class. A group of 2 children and 4
adults take the same karate class for $90. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $45
b. $25
c. $20
d. $5
9
Name: ________________________
ID: L
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if m is multiplied by -1 and b remains
the same?
a. the y-intercept becomes negative
b. the y-intercept becomes positive
c.
d.
the slope would become positive
the slope would become negative
____ 49. The Outboard Motor Company can produce 20 motors in 20 weeks. Assuming a direct variation, how many
motors can the company produce in 11 weeks?
11 motors
b. 26 motors
c.
a.
d.
36 motors
16 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.05)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 5%
The value of the car is increasing by 95%
The value of the car is decreasing by 95%
The value of the car is increasing by 5%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 20c 6 b 4 + 36c 3 b 6 − 12c 4 b 7 ˜˜˜˜ ?
Ë
a.
4
4c b
6
b.
7
4c b
6
¯
c.
3
4c b
4
6
d.
4c b
d.
13
7
____ 52. Simplify:
Ê
Ê
3ˆ
3
3ˆ
−p + 4 ÁÁÁÁ 3p − 4q ˜˜˜˜ + 2 ÁÁÁÁ −2p + 3q ˜˜˜˜
Ë
¯
Ë
¯
3
3
a.
7p − 10q
b.
−4p + 11p − 10q
3
3
3
3
c.
7p + 10q
d.
4p − 11p + 10q
c.
1
3
3
____ 53. What is the length of AB ?
a.
17
b.
5
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = 1 x– 4 represents 12th
2
Street. What is the equation representing Avenue J if it passes through the point ÊÁË 2,− 2 ˆ˜¯ ?
a. y = 1 x + 2
b. y = −2x + 2
c. y = −2x – 3
d. y = 1 x – 3
2
2
10
Name: ________________________
ID: L
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $8. 50
$6. 00
$7. 00
$7. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $11. 75 $11. 25 $9. 25
$11. 75 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $13. 00 $14. 00 $14. 00 $14. 75 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 6 large pizzas and 4 medium pizzas. Which pizza shop will charge the least for the
order?
a. Romero's
b. Alfredo's
c. John's Pizza
d. Sal's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
16
13 ˙˙˙˙
15
Team 1 ÍÍÍÍ 17
Team 1 ÍÍÍÍ 11
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
15
15 ˙˚
10
Team 2 ÍÎ 13
Team 2 ÍÎ 19
What is the total number of losses by Team 2 for these two seasons?
a. 25
b. 29
c. 32
d. 31
Ties
˘˙˙
˙
16 ˙˙˙˙
˙˙˙
˙
14 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.78
$14.96 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $8.31
$15.44 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $7.77
$16.00 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $7.21
$16.58 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $6.72
$17.07 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages increased, while college degree generally wages decreased.
b. both groups showed an overall increase in hourly wages
c. high school diploma wages decreased, while college degree generally wages increased.
d. both groups showed an overall decrease in hourly wages
11
Name: ________________________
ID: L
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
3
2.5
3.5
4
5
4.5
5.5
Visit (in
hours)
Cost of
$66
$82
$86
$90
$100
$116
$63
Visit
The equation of the line of best fit for the data is y = 15.86x + 70.29. What does the value of x represent?
a. hourly rate
c. cost of a visit
b. length of visit
d. flat fee
____ 59. An amusement park charges $13 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 6 times on a roller coaster. Her total payment was $31. Maria rode 10 times on a roller
coaster. What was her total payment?
a. $43
b. $34
c. $49
d. $31
____ 60. Which equation describes the function below?
x
–1
6
5
8
a.
y = −3x + 131
b.
2
y = 3x + 5
c.
y
8
113
80
197
2
y = −3x + 389
d.
y = 3x + 11
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $220. How many 10-dollar bills
does Carol have?
20
a.
b.
4
c.
24
d.
16
____ 62. In 2000 Jim planted a tree that was 4 1 feet tall. In 2004 the tree was 22 1 feet tall. Assuming the growth of
2
the tree is linear, what was the rate of growth of the tree?
a. 18 1 feet per year
c. 4 feet per year
2
b. 4 1 feet per year
d. 18 feet per year
2
2
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.465 (1.53) , where x is the number of years after 1985. In what year were there approximately 21
thousand cell phones?
a. 1994
b. 1986
c. 1988
d. 1990
____ 64. Given:
3x + 2y = −11
4x + 3y = −15
What is the value of y?
a. –1
b.
–2
c.
12
–3
d.
–4
ID: L
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: D
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
C
D
C
C
D
B
B
B
A
D
A
A
B
D
B
A
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: L
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
D
B
C
C
C
A
D
B
D
B
D
A
A
C
B
B
B
A
A
C
B
A
B
A
B
A
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: M
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
70n
2n
a.
____
35n
c.
68n
1.3
d.
35n
1.3
20
b.
c.
80
d.
100
16
5
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 16x 7 y 4 + 12x 2 y 7 + 2x5 y 10 ˜˜˜˜ ?
Ë
a.
____
b.
2
2. If y varies directly as x, and y = 16 when x = 40, then what is the value of x when y = 8?
a.
____
68n
2
8
6
10 7
2x y
b.
5 7
c.
2x y
¯
2 4
d.
2x y
7 10
2x y
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045)B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 7 years was $19,614.57. What is the balance at the end of 10 years?
a. $22,383.48
b. $20,497.23
c. $26,692.72
d. $21,419.60
____
5. On a map, Luis’s house is located at ÁÊË −3, 3 ˜ˆ¯ and Melvin’s house is at ÁÊË 5, 5 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
a. (4, 1)
b. (1, 4)
c. (–1, –4)
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1002 1085 1145 ˙˙˙˙
ÍÍÍ
˙˙˙
˙
Í
Hats ÍÍÍÍ 1025 1090 1042 ˙˙˙˙
ÍÍÍ
˙˙˙
˙
Í
Pants ÍÍÍÍ 1117 1075 1092 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1153 1172 1186 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. belts
b. shirts
c. pants
d.
____
(–1, –1)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ −7
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ −8
4
−4
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ 8 −1
˙˙˙
ÍÍÍ 6 −7 −5 ˙˙˙˙˙
1
˙˙˙
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
c.
˙˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
˙
˙
9
4 ˙˚
ÍÎ 6 −1 −10 ˙˚
ÍÎ 10
1
˙˘˙˙
2 ˙˙˙˙
˙˙˙
˙
3 ˙˙˙˚
ÍÈÍÍ
ÍÍ 1
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÎ −2
ÍÈÍÍ
ÍÍÍ −8
ÍÍÍÍ
ÍÍÍ
ÍÎ −6
1
1
˙˘˙˙
−1 ˙˙˙˙
˙˙˙
˙
10 ˙˙˙˚
3
−5
hats
˙˘˙˙
3 ˙˙˙˙
˙˙˙
˙
−7 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −6
ÍÍÍ
ÍÍÍ
ÍÍÎ −10
7
−9
˙˘˙˙
5 ˙˙˙˙
˙˙˙
˙
−4 ˙˙˙˚
Name: ________________________
____
ID: M
8. A caterer’s recipes are each designed to make 8 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 3
Eggs
5
1 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 6
6
5 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
4
5 ˙˙˙˙
Sugar (cups) ÍÍ 6
Î
˚
How much flour is needed to make 104 servings of bread and 104 servings of cake?
a. 10
b. 130
c. 156
d. 12
____
ÍÈÍÍ
˙˘
ÍÍÍ −7 −7 −7 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
7 −7 ˙˙˙˚
ÍÎ −1
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ −28 −52 −24 ˙˙˙˙˙
Í
˙˙˙ b. ÍÍÍÍÍ −56
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙
ÍÍÎ 4
−42 ˙˙˙˚
ÍÎ −16 36
ÍÈÍÍ
ÍÍÍ 7
ÍÍÍ
ÍÍÍ
ÍÍÎ −5
˙˘˙˙
9 ˙˙˙˙
˙˙˙ . What is –2Y– 6X?
˙
−3 0 ˙˙˙˚
˘˙˙
ÍÈÍÍ
˙˘˙˙
˙
ÍÍÍ 56 32
˙˙˙
−32 −60 ˙˙˙˙
60
˙˙˙
˙˙˙ c. ÍÍÍÍ
˙˙
ÍÍÍ
˙˙˙
−42 ˙˚
48
ÍÎ −4 −48 42 ˙˙˙˚
−5
d.
ÍÈÍÍ
ÍÍÍ 28
ÍÍÍÍ
ÍÍÍ
ÍÎ 16
52
−36
˙˘˙˙
24 ˙˙˙˙
˙˙˙
˙
42 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
54o
17o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
60o
53o
49o
47o
44o
42o
o
o
o
o
o
Avg. Temp
15
23
29
29
33
44o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 0.5o
b. 1.1o
c. 2.3o
d. 1.5o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 6% has a principal of $220,000. If no more deposits or withdrawals
are made, about how much money will be in the account after five years?
a. $300,500
b. $294,800
c. $294,400
d. $287,100
____ 12. Given:
3x + 2y = 6
3x + 3y = −3
What is the value of x – y?
a. 8
b. –1
c.
17
d.
–9
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 70 feet per second is
2
given by the formula h(t) = −16t + 70t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 6 ft
b. 76 ft
c. 286 ft
d. 216 ft
____ 14. A taxi ride cost $15.60. The driver charged $4 plus $0.40 per 0.8 mile traveled. How far did the taxi travel on
this trip?
27.3 miles
a.
b.
30.9 miles
c.
2
29 miles
d.
23.2 miles
Name: ________________________
ID: M
____ 15. The average price of a movie ticket in the year 1993 was $5.70. The average price of a movie ticket in the
year 2005 was $16.98. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2020?
a. $22.68
b. $9.93
c. $28.26
d. $31.08
____ 16. What is the value of y in the system of equations below?
4x + 5y = 17
a.
–25
b.
1
c.
4
y = − x−3
3
–12
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
13
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.6. What was the approximate speed of the car if it created skid
marks 194 ft long?
a. 59 mph
b. 35 mph
c. 15 mph
d. 51 mph
____ 18. Multiply: (−4r + 12) (−2r − 6)
a. 8r2+ 0r– 72
b. 8r2– 72
c.
d.
–6r2+ 0r+ 6
–6r2+ 6
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 7, and the
amount of space between rows is 4, what is the approximate rate of water flow that will result in a precipitation
rate of 40?
a. 4.2
b. 0.7
c. 11.6
d. 1.4
____ 20. At the airport, the new runway will be perpendicular to a nearby highway. On a scale drawing of the airport,
1
5
x − y = 2. Which equation could represent the new runway?
5
3
3x – 25y = –15
c. –25x – 3y = –12 d. –25x + 3y = 10
the equation that represents the highway is
a.
–3x – 25y = 7
b.
____ 21. The midpoint of XY is point MÊÁË −3, 6 ˆ˜¯ . If the coordinates of X are ÊÁË −1,− 10 ˆ˜¯ , what are the coordinates of Y?
a.
ÊÁ −5, 22 ˆ˜
Ë
¯
b.
ÊÁ −5,− 2 ˆ˜
Ë
¯
c.
3
ÊÁ −2,− 2 ˆ˜
Ë
¯
d.
ÊÁ −2, 22 ˆ˜
Ë
¯
Name: ________________________
ID: M
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 6.6
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.3
ÍÍÍ
Í
12-month ÍÍÍÍ 2.8
ÍÍÍ
Í
30-month ÍÍÍÍ 2.6
Î
Last Week
2.8
4.6
5.4
Last Week
5
4.6
4.6
Year Ago c.
˘˙
2.3 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.3
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 6.6
Î
Year Ago d.
˙˘
6.6 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.6 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
2.8
4.6
5.4
Last Week
ÍÈ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 2.8
ÍÍÍ
Í
30-month ÍÍÍÍ 2.3
Î
Year Ago
˙˘
6.6 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
4.6
4.6
5
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 16 18 ˙˙˙˙
ages 2-5 ÍÍÍÍ 11 14 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 13 12 ˙˙ Matrix M: ages 6-10 ÍÍ 17 13 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 10 14 ˙˙˙˙
ages 11-15 ÍÍÍÍ 18 15 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
ÍÍÍ 27
ÍÍÍ −5 −4 ˙˙˙˙˙
ÍÍÍ 5
ÍÍÍ −27 32
−32 ˙˙˙˙
4 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
1 ˙˙
−
4
−
1
25
a. ÍÍÍ −30 −25 ˙˙˙
b. ÍÍÍ 4
c.
d.
Í
˙
ÍÍÍ 30
Í
˙
˙
Í
˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −28 −29 ˙˙˙
ÍÍÍ 8
ÍÍÍ −8 −1 ˙˙˙
ÍÍÍ 28
1 ˙˙˙
29
Î
˚
Î
˚
Î
˚
Î
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
−
8
1
−
2
−
7
˙˙˙
˙˙˙˙ − 6 ÍÍÍÍ
____ 24. Simplify: 4 ÍÍÍÍÍ
˙˙
˙˙˙
ÍÍ
ÍÍÍ
Í
ÍÍÎ 0 −5 ˙˙˙˙˚
ÍÎ −9 −6 ˙˙˚
ÈÍÍ
ÍÈÍÍ
˙˘
˙˘˙˙
ÍÍÍ
ÍÍÍ −20 46 ˙˙˙˙˙
˙˙˙
56
−
38
Í
˙˙˙
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
˙
˙˙˙
ÍÍÍ
ÍÍÍÍ −36
˙˙˙˙
˙˙˚
6
−
36
−
54
ÍÎ
Î
˚
c.
4
ÍÈÍÍ
ÍÍÍ −56
ÍÍÍÍ
ÍÍÍ
ÍÎ 36
˙˘˙˙
38 ˙˙˙˙
˙˙˙
˙
54 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 20
ÍÍÍÍ
ÍÍÍ
ÍÎ 36
˙˘˙˙
−46 ˙˙˙˙
˙˙˙
˙
−6 ˙˙˙˚
˘˙˙
˙˙˙
˙˙˙
˙˙˙
˙˙˙
˙˙˙
˙˙˙
˙˚
Name: ________________________
ID: M
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
643
659
850
887
913
996
1049
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 860
b. 740
c. 780
d. 540
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.4x + 19.4, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the highest typing speed recorded
b. the average typing speed of the students
c. the typing speed of a student with no experience
d. the improvement in typing speed per week for the average student
____ 27. Suppose a ball is dropped from a height of 10 meters and bounces to 80% of its previous height after each
n
bounce. Using the formula h = 10 (0.8) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 7th
bounce?
a. 1.72 meters
b. 2.76 meters
c. 2.1 meters
d. 2.5 meters
____ 28. Martha has $297. She needs $2600 to start an account. She earns $60 per day working, of which she saves
$50. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2600?
a. 2600 = 50d + 297
c. 2600 = 60d − 297
b. 2600 = 50d − 297
d. 2600 = 60d + 297
____ 29. Maria sells paintings in an art gallery. She earns $375 each week plus a commission equal to 2.75% of her
sales. This week her goal is to earn at least $649. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $10,500
b. $12,000
c. $10,000
d. $9,000
5
Name: ________________________
ID: M
____ 30. For the line graphed below, the x-intercept is changed to –4 and the slope is unchanged.
How will the graph of the line change?
a. The new line will intersect the original line.
b. The new line will be the same as the original line.
c. The new line will be perpendicular to the original line.
d. The new line will be parallel to the original line.
____ 31. Solve: x 2 − 4x − 1 = 11
ÏÔ
¸Ô
a. ÔÌ 6,− 2 Ô˝
Ó
˛
ÏÔ
¸Ô
ÔÌÓ −4, 4 Ô˝˛
b.
ÏÔ
¸Ô
ÔÌÓ −6, 2 Ô˝˛
c.
d.
ÏÔ
¸Ô
ÔÌÓ 4,− 4 Ô˝˛
d.
20
d.
9a b
____ 32. Given:
7x + y = 12
7x + 3y = −20
What is the value of x?
a. –16
b.
Ê
ˆÊ
–12
c.
4
c.
9a b
ˆ
____ 33. Simplify: ÁÁÁÁ 3a 7 b 2 ˜˜˜˜ ÁÁÁÁ 3a 9 b 10 ˜˜˜˜
Ë
¯Ë
¯
a.
9
9a b
19
b.
19
9a b
9
16
12
63
20
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $3.30 to mail a 3-pound
box. How much would it cost to mail a 12-pound box?
$20.01
b. $17.42
c. $13.20
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (5r + 2) ÁÁÁÁ 5r 2 + r + 3 ˜˜˜˜
3
2
c.
25r + 15r + 17r + 6
3
2
d.
25r + 10r + 2r + 6
a.
25r + 17r + 2r + 6
b.
25r + 10r + 17r + 6
6
3
2
3
2
$11.49
Name: ________________________
ID: M
____ 36. Each year, Cathy invests $1,500 in her account. The account pays an interest rate of 4.9%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 39 years?
a. $175,000
b. $196,000
c. $177,000
d.
$166,000
____ 37. The endpoints of AC are A ÁÊË −3, 1 ˜ˆ¯ and C ÁÊË 7, 9 ˜ˆ¯ . What are the coordinates of the midpoint?
a. (5, 4)
b. (−2, −4)
c. (2, 5)
d. (−2, −5)
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
–x – 3y = –15
b.
x – 3y = –4
c.
7
–3x – y = 4
d.
–3x + y = –11
Name: ________________________
ID: M
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˘˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
˘˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˘˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 4 girls were absent. On Tuesday, 2 boys and 4 girls were absent. On Wednesday, 3 boys and 5 girls
were absent. On Thursday, 4 boys and 4 girls were absent. On Friday, 5 boys and 3 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 5 4 3 2 2 ˙˙˙˙˙
ÍÍÍÍ 2 2 3 4 5 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 3 4 5 4 4 ˙˚
ÍÎ 4 4 5 4 3 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
3
2
3
4
5
4
2
3
4
5
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 2 4 5 5 3 ˙˙˙˙˚
ÍÎ 5 4 5 4 3 ˙˙˚
8
Name: ________________________
ID: M
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 28
16
28 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 32
44
20 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙˙˙˘
˙
May ÍÍÍÍ 7
16
28 ˙˙˙˙
May ÍÍÍÍ 112
64
112 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
44
20 ˙˚
176
80 ˙˙˙˚
June ÍÎ 8
June ÍÎ 128
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 7
4
7 ˙˙
May ÍÍ 112
16
28 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
11
5 ˙˙˙˚
44
20 ˙˙˙˚
June ÍÍÍÎ 8
June ÍÍÍÎ 128
____ 42. What value of x makes the equation true?
ÈÍÍ
ÍÍÍ
3
2 ÍÍÍÍÍ
ÍÍÍ
ÍÎ x
a.
–16
b.
–9
˘˙˙
ÈÍÍ
˘˙˙ ÈÍÍ
˙˙˙
ÍÍÍ
˙ Í
−4 ˙˙
1 −5 ˙˙˙˙ ÍÍÍÍ −4
˙˙˙ + 5 ÍÍÍÍÍ
˙˙˙ = ÍÍÍ
˙
ÍÍÍ
˙˙ ÍÍ
−3 ˙˙˙˚
ÍÎ 3 −1 ˙˙˚ ÍÍÎ −3
c. –11
˘˙˙
˙
−2 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˚
d.
–5
____ 43. The equation y = 329.41x + 4245 represents the value of a work of art from 1964 to 2005. What does the
number 329.41 represent?
value of the work of art in 1964
the yearly increase in value
a.
b.
c.
d.
value of the work of art in 2005
the yearly decrease in value
____ 44. A computer is purchased for $868 and depreciates at $70 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 70t
c.
V = 70 (868 − t )
d.
a.
b.
V = 868 − 70t
V = 70t − 868
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1100 feet?
a. 5 seconds
b. 4 seconds
c. 8 seconds
d. 6 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $40 to join and then $5 per book. The
second club costs $10 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 8
b. 10
c. 14
d. 12
____ 47. A group of 5 children and 5 adults pay a total of $140 to take a karate class. A group of 3 children and 4
adults take the same karate class for $100. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $16
b. $12
c. $44
d. $28
9
Name: ________________________
ID: M
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become positive
b. the y-intercept becomes positive
c.
d.
the slope would become negative
the y-intercept becomes negative
____ 49. The Outboard Motor Company can produce 17 motors in 17 weeks. Assuming a direct variation, how many
motors can the company produce in 10 weeks?
35 motors
b. 25 motors
c.
a.
d.
10 motors
0 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.1) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 90%
The value of the car is decreasing by 90%
The value of the car is increasing by 10%
The value of the car is decreasing by 10%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 40e 10 d 5 − 40e 6 d 8 − 12e 8 d 9 ˜˜˜˜ ?
Ë
a.
9 8
b.
4e d
6 5
4e d
¯
c.
10 9
d.
4e d
8 8
4e d
____ 52. Simplify:
Ê
Ê
4ˆ
4
4ˆ
2m − 4 ÁÁÁÁ −4m + 3n ˜˜˜˜ − 2 ÁÁÁÁ −3m − 3n ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
4
24m − 6n
4
4
6m + 18m − 6n
4
4
c.
d.
−6m − 18m + 6n
c.
2
4
24m + 6n
4
4
____ 53. What is the length of AB ?
a.
2
10
b.
10
5
d.
5
2
____ 54. On a map of downtown, 12th Street is parallel to Avenue J. The equation y = 2x– 11 represents 12th Street.
What is the equation representing Avenue J if it passes through the point ÊÁË 4, 1 ˜ˆ¯ ?
a. y = 2x + 3
b. y = − 1 x – 7
c. y = − 1 x + 3
d. y = 2x – 7
2
2
10
Name: ________________________
ID: M
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $8. 50
$9. 00
$6. 50
$6. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $9. 75
$9. 50
$9. 75
$12. 25 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $12. 25 $12. 25 $13. 75 $13. 50 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 7 large pizzas and 4 medium pizzas. Which pizza shop will charge the least for the
order?
a. Alfredo's
b. Sal's
c. John's Pizza
d. Romero's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
16
11 ˙˙˙˙
11
Team 1 ÍÍÍÍ 19
Team 1 ÍÍÍÍ 13
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
20
12 ˙˚
19
Team 2 ÍÎ 18
Team 2 ÍÎ 14
What is the total number of losses by Team 2 for these two seasons?
a. 31
b. 27
c. 39
d. 32
Ties
˘˙˙
˙
15 ˙˙˙˙
˙˙˙
˙
19 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $9.98
$12.44 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $10.50 $13.03 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $10.95 $13.50 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $11.52 $14.01 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $12.00 $14.56 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall increase in hourly wages
b. both groups showed an overall decrease in hourly wages
c. high school diploma wages increased, while college degree generally wages decreased.
d. high school diploma wages decreased, while college degree generally wages increased.
11
Name: ________________________
ID: M
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2.5
2
3
3.5
4
4.5
6
Visit (in
hours)
Cost of
$54
$83
$92
$90
$95
$117
$62
Visit
The equation of the line of best fit for the data is y = 15.04x + 67.53. What does the value of y represent?
a. flat fee
c. cost of a visit
b. hourly rate
d. length of visit
____ 59. An amusement park charges $20 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 7 times on a roller coaster. Her total payment was $48. Maria rode 12 times on a roller
coaster. What was her total payment?
a. $48
b. $64
c. $68
d. $52
____ 60. Which equation describes the function below?
x
–2
6
4
7
a.
b.
y = 2x + 18
2
y = 2x + 6
c.
y
14
78
38
104
2
y = −3x + 251
d.
y = −3x + 96
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $165. How many 10-dollar bills
does Carol have?
15
a.
b.
3
c.
18
d.
12
____ 62. In 2000 Jim planted a tree that was 3 1 feet tall. In 2004 the tree was 16 1 feet tall. Assuming the growth of
2
the tree is linear, what was the rate of growth of the tree?
a. 13 1 feet per year
c. 3 feet per year
4
b. 3 1 feet per year
d. 13 feet per year
4
2
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.573 (1.59) , where x is the number of years after 1985. In what year were there approximately 9 thousand
cell phones?
a. 1995
b. 1987
c. 1991
d. 1993
____ 64. Given:
4x + 4y = 8
6x + 3y = 18
What is the value of y?
a. 6
b.
2
c.
12
4
d.
–2
ID: M
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: A
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
A
A
B
A
B
D
C
A
C
D
A
C
C
C
C
C
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: M
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
A
A
C
B
B
B
C
C
A
D
B
C
D
B
B
B
D
A
C
A
C
C
B
A
B
C
D
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: N
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
72n
2n
a.
____
70n
c.
36n
2.8
d.
70n
2.8
512
25
b.
25
8
c.
200
d.
512
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 24p 6 q 4 − 24p 3 q 6 + 4p 4 q 7 ˜˜˜˜ ?
Ë
a.
____
b.
7
2. If y varies directly as x, and y = 8 when x = 64, then what is the value of x when y = 25?
a.
____
36n
7
11
4
6 7
4p q
b.
4 6
c.
4p q
¯
7 6
d.
4p q
3 4
4p q
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.03) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 9 years was $15,445.24. What is the balance at the end of 13 years?
a. $15,908.60
b. $20,152.53
c. $17,383.75
d. $16,877.43
____
5. On a map, Luis’s house is located at ÁÊË −6, 5 ˜ˆ¯ and Melvin’s house is at ÁÊË 6, 3 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
a. (0, –4)
b. (0, 1)
c. (6, –1)
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1096 1129 1089 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1011 1027 1046 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1141 1145 1135 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1194 1153 1137 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. hats
b. pants
c. shirts
d.
____
(0, 4)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ −1
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 8
8
−4
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ 8
˙˙˙
ÍÍÍ 10 −8 −4 ˙˙˙˙˙
8
14
˙˙˙ b. ÍÍÍ
˙˙˙
a. ÍÍÍÍ
c.
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Í
˙
ÍÎ 13 −11 −6 ˙˚
ÍÎ −3 −3 −8 ˙˚
1
˙˘˙˙
9 ˙˙˙˙
˙˙˙
˙
1 ˙˙˙˚
ÍÈÍÍ
ÍÍ 9
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 5
ÍÈÍÍ
ÍÍÍ −8
ÍÍÍ
ÍÍÍ
ÍÍÎ −13
−8
11
0
−7
belts
˙˘˙˙
5 ˙˙˙˙
˙˙˙
˙
−7 ˙˙˙˚
˙˘˙˙
−14 ˙˙˙˙
˙˙˙ d.
˙
6 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ −10
ÍÍÍÍ
ÍÍÍ
ÍÎ 3
8
3
˙˘˙˙
4 ˙˙˙˙
˙˙˙
˙
8 ˙˙˙˚
Name: ________________________
____
ID: N
8. A caterer’s recipes are each designed to make 6 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 4
Eggs
3
1 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 4
2
4 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
3
4 ˙˙˙˙
Sugar (cups) ÍÍ 1
Î
˚
How much flour is needed to make 72 servings of bread and 72 servings of cake?
a. 72
b. 4
c. 48
d. 6
____
ÍÈÍÍ
˙˘
ÍÍÍ −5 6 −7 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
8 ˙˙˙˚
ÍÎ 5 7
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ −18 −18 −69 ˙˙˙˙˙
ÍÍ 18
a. ÍÍÍÍ
˙˙˙˙ b. ÍÍÍÍÍ
ÍÍÍ
ÍÍÍ
˙
0 ˙˙˙˚
ÍÎ 15
ÍÎ −15 75
ÍÈÍÍ
ÍÍÍ −4
ÍÍÍ
ÍÍÍ
ÍÍÎ 5
˙˘˙˙
8 ˙˙˙˙
˙˙˙ . What is 6Y+ 3X?
˙
−9 4 ˙˙˙˚
˙˘˙˙
ÍÈÍÍ
˙˘˙˙
ÍÍÍ 39
˙˙˙
18
69 ˙˙˙˙
−54
−27
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙
˙˙˙
ÍÍÍ
−75
0 ˙˚
−48 ˙˙˙˚
ÍÎ −45 33
6
ÍÈÍÍ
ÍÍÍ −39
ÍÍÍÍ
ÍÍÍ
ÍÎ 45
54
−33
˙˘˙˙
27 ˙˙˙˙
˙˙˙
˙
48 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
57o
23o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
60o
55o
49o
47o
43o
41o
o
o
o
o
o
Avg. Temp
17
26
28
33
34
46o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.7o
b. 0.5o
c. 1.2o
d. 0.2o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 6% has a principal of $320,000. If no more deposits or withdrawals
are made, about how much money will be in the account after seven years?
a. $480,200
b. $470,200
c. $482,700
d. $481,200
____ 12. Given:
4x + 2y = −2
4x + 5y = −11
What is the value of x + y?
a. 1
b. 4
c.
–3
d.
–2
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 85 feet per second is
2
given by the formula h(t) = −16t + 85t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 276 ft
b. 106 ft
c. 191 ft
d. 21 ft
____ 14. A taxi ride cost $8.90. The driver charged $4 plus $0.10 per 0.2 mile traveled. How far did the taxi travel on
this trip?
7.9 miles
a.
b.
51.9 miles
c.
2
9.8 miles
d.
49 miles
Name: ________________________
ID: N
____ 15. The average price of a movie ticket in the year 1991 was $5.97. The average price of a movie ticket in the
year 2003 was $13.89. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2010?
a. $19.86
b. $11.58
c. $18.51
d. $21.81
____ 16. What is the value of y in the system of equations below?
7x + 5y = 3
a.
–5
b.
–1
c.
7
y = − x+2
4
4
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
9
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.8. What was the approximate speed of the car if it created skid
marks 201 ft long?
a. 56 mph
b. 15 mph
c. 54 mph
d. 69 mph
____ 18. Multiply: (x + 9) (x + 6)
a. 2x2+ 15x+ 15
b. 2x2+ 15
c.
d.
x2+ 15x+ 54
x2+ 54
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 3, and the
amount of space between rows is 8, what is the approximate rate of water flow that will result in a precipitation
rate of 30?
a. 7.5
b. 8.6
c. 0.1
d. 1.2
____ 20. At the airport, the new runway will be perpendicular to a nearby highway. On a scale drawing of the airport,
3
x − y = 1. Which equation could represent the new runway?
5
5x – 3y = –14
c. 3x + 5y = 4
d. 5x + 3y = 13
the equation that represents the highway is
a.
–3x + 5y = 11
b.
____ 21. The midpoint of XY is point MÊÁË −3,− 2 ˆ˜¯ . If the coordinates of X are ÊÁË 1,− 8 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË −7, 4 ˆ˜¯
b. ÊÁË −1, 4 ˆ˜¯
c. ÊÁË −7,− 5 ˆ˜¯
d. ÊÁË −1,− 5 ˆ˜¯
3
Name: ________________________
ID: N
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 6.2
Î
b.
This Week
2.7
3
6.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 2.7
ÍÍÍ
Í
30-month ÍÍÍÍ 2.9
Î
5
3
3
Year Ago c.
˘˙
2.9 ˙˙˙˙
˙˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 3
ÍÍÍ
Í
30-month ÍÍÍÍ 5.4
Î
Year Ago d.
˙˘
6.2 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.8 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
2.7
3
6.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 2.7
ÍÍÍ
Í
30-month ÍÍÍÍ 2.8
Î
Year Ago
˙˘
5.4 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
3
3
5
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 11 16 ˙˙˙˙
ages 2-5 ÍÍÍÍ 16 13 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 18 13 ˙˙ Matrix M: ages 6-10 ÍÍ 17 10 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 14 17 ˙˙˙˙
ages 11-15 ÍÍÍÍ 13 14 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÍÍÍ −27 29 ˙˙˙˙˙
ÍÍÍ 27
ÍÍÍ 5 −3 ˙˙˙˙˙
ÍÍÍ −5
−29 ˙˙˙˙
3 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
23 ˙˙˙˙
−35
−23
−1
−3
1
3
a. ÍÍÍÍÍ 35
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 27
ÍÍÍ −27 −31 ˙˙˙
ÍÍÍ −1 −3 ˙˙˙
ÍÍÍ 1
31 ˙˙˙
3 ˙˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙ ÈÍÍ
ÍÍÍ
˙˙˙ ÍÍÍ
−4
9
˙˙˙˙ + ÍÍÍÍ −2
____ 24. Simplify: 3 ÍÍÍÍÍ
˙˙˙ ÍÍÍ
ÍÍÍ
ÍÎ −8 0 ˙˙˚ ÍÍÎ −7
ÍÈÍÍ
˙˘
ÍÍÍ 14 −30 ˙˙˙˙˙
˙˙˙
a. ÍÍÍÍ
b.
˙˙˙
ÍÍÍÍ 31
˙
2
˙˚
Î
˘˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
−2 ˙˙˙˚
ÈÍÍ
ÍÍÍ
ÍÍÍ −14
ÍÍÍ
ÍÍÍ −31
Î
˙˘˙˙
30 ˙˙˙˙
˙˙˙
˙
−2 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ 2
ÍÍÍ
ÍÍÍ
ÍÍÎ −17
˙˘˙˙
24 ˙˙˙˙
˙˙˙
˙
2 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −2
ÍÍÍÍ
ÍÍÍ
ÍÎ 17
˙˘˙˙
−24 ˙˙˙˙
˙˙˙
˙
−2 ˙˙˙˚
Name: ________________________
ID: N
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
589
656
818
872
917
980
1085
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 1138
b. 898
c. 978
d. 1098
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.1x + 17, where x is the number of weeks of experience of a student and y
is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the highest typing speed recorded
b. the typing speed of a student with no experience
c. the improvement in typing speed per week for the average student
d. the average typing speed of the students
____ 27. Suppose a ball is dropped from a height of 9 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 9 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 7th
bounce?
a. 3.66 meters
b. 3.4 meters
c. 3.92 meters
d. 4.3 meters
____ 28. Martha has $203. She needs $2500 to start an account. She earns $60 per day working, of which she saves
$50. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2500?
a. 2500 = 60d − 203
c. 2500 = 60d + 203
b. 2500 = 50d − 203
d. 2500 = 50d + 203
____ 29. Maria sells paintings in an art gallery. She earns $225 each week plus a commission equal to 2.75% of her
sales. This week her goal is to earn at least $521. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $12,800
b. $10,300
c. $11,800
d. $10,800
5
Name: ________________________
ID: N
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will be perpendicular to the original line.
b. The new line will not intersect the original line.
c. The new line will be the same as the original line.
d. The new line will be parallel to the original line.
____ 31. Solve: x 2 + 5x − 8 = −14
ÏÔ
¸Ô
a. ÔÌ 3, 2 Ô˝
b.
Ó
˛
ÏÔ
¸Ô
ÔÌÓ −5,− 4 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ −3,− 2 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 5, 4 Ô˝˛
d.
–2
d.
−8x y
____ 32. Given:
6x − 2y = 2
7x − y = −7
What is the value of x?
a. –7
b.
Ê
ˆÊ
–9
c.
5
c.
−8x y
ˆ
____ 33. Simplify: ÁÁÁÁ 2x 8 y0 ˜˜˜˜ ÁÁÁÁ −4x6 y ˜˜˜˜
Ë
¯Ë
¯
a.
7 8
b.
−8x y
14
−8x y
48 0
8 7
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.02 to mail a 3-pound
box. How much would it cost to mail a 10-pound box?
$13.40
b. $17.05
c. $19.23
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (4r − 4) ÁÁÁÁ 2r 2 − 3r − 2 ˜˜˜˜
3
2
c.
8r − 20r + 4r + 8
3
2
d.
8r − 8r + 4r + 8
a.
8r + 4r + 12r + 8
b.
8r − 8r + 12r + 8
6
3
3
2
2
$11.88
Name: ________________________
ID: N
____ 36. Each year, Cathy invests $1,600 in her account. The account pays an interest rate of 4.6%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 41 years?
a. $195,000
b. $208,000
c. $205,000
d.
$175,000
____ 37. The endpoints of AC are A ÁÊË −3, 5 ˜ˆ¯ and C ÁÊË 5, 9 ˜ˆ¯ . What are the coordinates of the midpoint?
a. (−1, −2)
b. (1, 7)
c. (−1, −7)
d. (4, 2)
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
x + 2y = 6
b.
2x + y = 17
c.
7
2x – y = 10
d.
–x + 2y = 18
Name: ________________________
ID: N
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˙˘
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 250
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
˙˘
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 250
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˙˘
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 3 girls were absent. On Tuesday, 3 boys and 2 girls were absent. On Wednesday, 5 boys and 5 girls
were absent. On Thursday, 2 boys and 3 girls were absent. On Friday, 4 boys and 5 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 2 3 5 2 4 ˙˙˙˙˙
ÍÍÍÍ 4 2 5 3 2 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 3 2 5 3 5 ˙˚
ÍÎ 5 3 5 2 3 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
5
3
5
2
4
3
3
5
2
4
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 2 2 5 5 5 ˙˙˙˙˚
ÍÎ 5 2 5 3 5 ˙˙˚
8
Name: ________________________
ID: N
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 30
35
40 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 40
35
40 ˙˙˙˚
In May and June his sales are a fifth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
ÍÈÍÍ
˙˙˙˘
ÍÈÍÍ
˙˙˙˘
May ÍÍÍÍ 150
175
200 ˙˙˙˙
May ÍÍÍÍ 6
35
40 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
175
200 ˙˚
35
40 ˙˙˙˚
June ÍÎ 200
June ÍÎ 8
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 150
35
40 ˙˙
May ÍÍ 6
7
8 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
35
40 ˙˙˙˚
7
8 ˙˙˙˚
June ÍÍÍÎ 200
June ÍÍÍÎ 8
____ 42. What value of m makes the equation true?
ÈÍÍ
ÍÍÍ
5
−3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ −2
a.
–7
b.
3
˘˙˙ ÈÍÍ
˙ Í
m ˙˙˙˙ ÍÍÍÍ 4
˙˙˙ − ÍÍÍ
˙ Í
−2 ˙˙˙˚ ÍÍÍÎ 1
c. 8
˘˙˙ ÈÍÍ
˙ Í
−4 ˙˙˙˙ ÍÍÍÍ −3
˙˙˙ = ÍÍÍ
˙ Í
−2 ˙˙˙˚ ÍÍÍÎ 6
˘˙˙
˙
−1 ˙˙˙˙
˙˙˙
˙
−7 ˙˙˙˚
d.
–1
____ 43. The equation y = 406.55x + 4741 represents the value of a work of art from 1964 to 2005. What does the
number 4741 represent?
the yearly decrease in value
the yearly increase in value
a.
b.
c.
d.
value of the work of art in 2005
value of the work of art in 1964
____ 44. A computer is purchased for $867 and depreciates at $50 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 50t
c.
V = 867 − 50t
d.
a.
b.
V = 50 (867 − t )
V = 50t − 867
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1200 feet?
a. 5 seconds
b. 12 seconds
c. 7 seconds
d. 9 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $40 to join and then $10 per book. The
second club costs $30 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 6
b. 8
c. 2
d. 4
____ 47. A group of 6 children and 4 adults pay a total of $110 to take a karate class. A group of 2 children and 3
adults take the same karate class for $80. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $26
b. $1
c. $27
d. $53
9
Name: ________________________
ID: N
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if m is multiplied by -1 and b remains
the same?
a. the y-intercept becomes negative
b. the slope would become negative
c.
d.
the slope would become positive
the y-intercept becomes positive
____ 49. The Outboard Motor Company can produce 14 motors in 16 weeks. Assuming a direct variation, how many
motors can the company produce in 32 weeks?
23 motors
b. 28 motors
c.
a.
d.
43 motors
18 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.05) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 95%
The value of the car is decreasing by 5%
The value of the car is increasing by 5%
The value of the car is decreasing by 95%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 30e 9 d 2 − 48e 3 d 5 − 18e 6 d 7 ˜˜˜˜ ?
Ë
a.
6 5
b.
6e d
7 5
6e d
¯
c.
9 7
6e d
3 2
d.
6e d
d.
34
____ 52. Simplify:
Ê
Ê 2
2ˆ
2ˆ
p − 2 ÁÁÁÁ p + 4q ˜˜˜˜ + 2 ÁÁÁÁ 2p − q ˜˜˜˜
Ë
¯
Ë
¯
2
2
a.
3p − 10q
b.
−4p + p + 10q
2
2
2
c.
4p − p − 10q
d.
3p + 10q
c.
3
2
2
2
____ 53. What is the length of AB ?
a.
5
2
b.
2
2
____ 54. On a map of downtown, 12th Street is parallel to Avenue J. The equation y = 1 x– 9 represents 12th Street.
2
What is the equation representing Avenue J if it passes through the point ÊÁË 4, 5 ˆ˜¯ ?
a. y = −2x + 13
b. y = −2x + 3
c. y = 1 x + 13
d. y = 1 x + 3
2
2
10
Name: ________________________
ID: N
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $9. 50
$9. 50
$9. 00
$7. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $10. 25 $9. 25
$10. 50 $11. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14. 00 $14. 25 $13. 50 $14. 25 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 3 large pizzas and 3 medium pizzas. Which pizza shop will charge the least for the
order?
a. John's Pizza
b. Romero's
c. Alfredo's
d. Sal's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
14
13 ˙˙˙˙
17
Team 1 ÍÍÍÍ 11
Team 1 ÍÍÍÍ 10
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
17
19 ˙˚
12
Team 2 ÍÎ 13
Team 2 ÍÎ 14
What is the total number of ties by Team 2 for these two seasons?
a. 36
b. 29
c. 30
d. 27
Ties
˘˙˙
˙
17 ˙˙˙˙
˙˙˙
˙
17 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.52
$14.25 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $8.06
$13.68 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $7.51
$13.10 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $6.94
$12.62 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $6.39
$12.04 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall decrease in hourly wages
b. high school diploma wages increased, while college degree generally wages decreased.
c. high school diploma wages decreased, while college degree generally wages increased.
d. both groups showed an overall increase in hourly wages
11
Name: ________________________
ID: N
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
2.5
3.5
3
4
5
5.5
Visit (in
hours)
Cost of
$55
$95
$84
$98
$94
$116
$51
Visit
The equation of the line of best fit for the data is y = 16.62x + 57.42. What does the value of y represent?
a. cost of a visit
c. hourly rate
b. length of visit
d. flat fee
____ 59. An amusement park charges $17 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 8 times on a roller coaster. Her total payment was $41. Maria rode 15 times on a roller
coaster. What was her total payment?
a. $38
b. $62
c. $59
d. $41
____ 60. Which equation describes the function below?
x
–1
5
6
8
a.
y = −3x + 46
b.
y = x+8
c.
y
7
31
42
70
2
y = −3x + 262
d.
2
y = x +6
____ 61. Carol has four times as many 10-dollar bills as 5-dollar bills. She has a total of $405. How many 5-dollar bills
does Carol have?
36
a.
b.
45
c.
9
d.
27
____ 62. In 2000 Jim planted a tree that was 4 1 feet tall. In 2008 the tree was 40 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 4 1 feet per year
c. 4 feet per year
2
b. 36 feet per year
d. 36 1 feet per year
2
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.452 (1.5) , where x is the number of years after 1985. In what year were there approximately 3 thousand
cell phones?
a. 1994
b. 1986
c. 1990
d. 1992
____ 64. Given:
6x + 5y = −12
3x + y = 12
What is the value of y?
a. –12
b.
20
c.
12
8
d.
–4
ID: N
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: C
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
A
C
C
B
C
B
D
D
D
A
C
D
B
A
C
A
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: N
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
A
B
A
D
B
D
B
D
C
C
C
B
B
D
C
A
D
C
A
A
A
B
D
C
A
C
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: O
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
24n
6n
a.
____
4n
c.
4n
1.1
d.
18n
1
10
17
b.
136
5
c.
1156
d.
170
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 18x 10 y6 − 54x 7 y 8 + 24x9 y10 ˜˜˜˜ ?
Ë
a.
____
b.
1
2. If y varies directly as x, and y = 4 when x = 68, then what is the value of x when y = 10?
a.
____
18n
1.1
8
7
9 8
6x y
b.
10 8
c.
6x y
¯
7 6
d.
6x y
10 10
6x y
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.03) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 6 years was $17,523.82. What is the balance at the end of 9 years?
a. $19,148.75
b. $18,591.02
c. $20,924.36
d. $18,049.53
____
5. On a map, Luis’s house is located at ÁÊË −5, 5 ˜ˆ¯ and Melvin’s house is at ÁÊË 8, 7 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
a. (–1.5, –1)
b. (6.5, 1)
c. (–1.5, –6)
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1064 1098 1054 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1002 1086 1016 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1106 1056 1138 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1116 1131 1126 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. belts
b. shirts
c. pants
d.
____
(1.5, 6)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ 4
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 7
˙˘˙˙
3 ˙˙˙˙
˙˙˙
˙
2 5 ˙˙˙˚
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘˙˙
ÍÍÍ −3 1 −11 ˙˙˙˙˙
ÍÍÍ −5
˙˙˙
−
9
5
˙˙˙
ÍÍÍ
˙˙˙ c.
a. ÍÍÍÍ
b.
˙˙˙
ÍÍÍ
˙˙
ÍÍÍ
˙
Í
ÍÎ 0 7 −14 ˙˚
ÍÎ −14 −11 4 ˙˙˙˚
ÍÈÍÍ
ÍÍ −1
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÎ −7
4
1
ÍÈÍÍ
ÍÍÍ 3
ÍÍÍÍ
ÍÍÍ
ÍÎ 0
−1
−7
−5
−9
˙˘˙˙
11 ˙˙˙˙
˙˙˙
˙
14 ˙˙˙˚
hats
˙˘˙˙
8 ˙˙˙˙
˙˙˙
˙
9 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 5
ÍÍÍ
ÍÍÍ
ÍÍÎ 14
9
11
˙˘˙˙
−5 ˙˙˙˙
˙˙˙
˙
−4 ˙˙˙˚
Name: ________________________
____
ID: O
8. A caterer’s recipes are each designed to make 4 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 5
Eggs
1
1 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 2
5
4 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
6
6 ˙˙˙˙
Sugar (cups) ÍÍ 2
Î
˚
How much sugar is needed to make 60 servings of bread and 60 servings of cake?
a. 120
b. 105
c. 7
d. 8
____
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘˙˙
ÍÍÍ −2 9 1 ˙˙˙˙˙
ÍÍÍ −8
3 −2 ˙˙˙˙
Í
˙
Í
9. Given X = ÍÍÍ
˙˙˙ and Y = ÍÍÍ
˙˙˙ . What is –6Y+ 5X?
ÍÍÍ
˙
ÍÍÍ
˙
ÍÎ 5 3 3 ˙˙˙˚
ÍÎ −7 −6 −7 ˙˙˙˚
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ 38 27 17 ˙˙˙˙˙
ÍÍÍ −52 −63
˙˙˙
ÍÍÍ −38 −27 −17 ˙˙˙˙˙
7
˙˙˙ d.
a. ÍÍÍÍ
˙˙˙˙
b. ÍÍÍÍ
˙˙˙˙ c. ÍÍÍÍ
˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
21
27 ˙˚
ÍÎ 17
ÍÎ −67 −51 −57 ˙˙˙˚
ÍÎ 67 51 57 ˙˚
ÍÈÍÍ
ÍÍÍ 52
ÍÍÍ
ÍÍÍ
ÍÍÎ −17
63
−21
˙˘˙˙
−7 ˙˙˙˙
˙˙˙
˙
−27 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
57o
22o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
58o
52o
50o
48o
45o
41o
o
o
o
o
o
Avg. Temp
18
26
27
34
34
43o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.3o
b. 1.2o
c. 0.3o
d. 0.9o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 5% has a principal of $120,000. If no more deposits or withdrawals
are made, about how much money will be in the account after three years?
a. $138,900
b. $139,100
c. $131,200
d. $140,600
____ 12. Given:
3x − 2y = −15
3x − 4y = −9
What is the value of x + y?
a. –3
b. –4
c.
–10
d.
–7
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 97 feet per second is
2
given by the formula h(t) = −16t + 97t , where t is the time in seconds. What is the height of the object after 6
seconds?
a. 297 ft
b. 103 ft
c. 200 ft
d. 6 ft
____ 14. A taxi ride cost $13.80. The driver charged $6 plus $0.20 per 0.4 mile traveled. How far did the taxi travel on
this trip?
15.6 miles
a.
b.
33.5 miles
c.
2
39 miles
d.
16.9 miles
Name: ________________________
ID: O
____ 15. The average price of a movie ticket in the year 1993 was $3.54. The average price of a movie ticket in the
year 2007 was $13.76. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2011?
a. $17.30
b. $16.68
c. $23.98
d. $12.30
____ 16. What is the value of y in the system of equations below?
3x + y = −4
a.
12
b.
–8
3
y = − x+8
2
c. –28
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
20
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.3. What was the approximate speed of the car if it created skid
marks 208 ft long?
a. 38 mph
b. 15 mph
c. 13 mph
d. 43 mph
____ 18. Multiply: (−3r + 15) (−3r − 3)
a. –6r2– 36r+ 12
b. –6r2+ 12
c.
d.
9r2– 45
9r2– 36r– 45
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 5, and the
amount of space between rows is 8, what is the approximate rate of water flow that will result in a precipitation
rate of 40?
a. 16.6
b. 3.9
c. 0.3
d. 1.5
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
3
2
equation that represents the highway is − x − y = –10. Which equation could represent the new runway?
2
5
a. 15x – 4y = –11
b. –4x – 15y = –12 c. –15x – 4y = 19
d. –4x + 15y = –9
____ 21. The midpoint of XY is point MÊÁË 0, 10 ˆ˜¯ . If the coordinates of X are ÊÁË 6,− 2 ˆ˜¯ , what are the coordinates of Y?
a.
ÊÁ −6, 4 ˆ˜
Ë
¯
b.
ÊÁ −6, 22 ˆ˜
Ë
¯
c.
3
ÊÁ 3, 22 ˆ˜
Ë
¯
d.
ÊÁ 3, 4 ˆ˜
Ë
¯
Name: ________________________
ID: O
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 5.4
Î
b.
This Week
2.3
5
5.4
Last Week
ÍÈ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 2.3
ÍÍÍ
Í
30-month ÍÍÍÍ 2.9
Î
3
5
4.6
Year Ago c.
˘˙
2.7 ˙˙˙˙
˙˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 3
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
Year Ago d.
˙˘
7 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.9 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
2.3
5
5.4
Last Week
ÍÈ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 2.3
ÍÍÍ
Í
30-month ÍÍÍÍ 2.7
Î
Year Ago
˙˘
5.4 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
4.6
5
3
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 18 15 ˙˙˙˙
ages 2-5 ÍÍÍÍ 15 12 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 11 17 ˙˙ Matrix M: ages 6-10 ÍÍ 12 16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 16 13 ˙˙˙˙
ages 11-15 ÍÍÍÍ 17 15 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÍÍÍ 33
ÍÍÍ −33 27 ˙˙˙˙˙
ÍÍÍ 3
ÍÍÍ −3 −3 ˙˙˙˙˙
−27 ˙˙˙˙
3 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
33 ˙˙˙˙
−
1
1
1
−
1
a. ÍÍÍÍÍ −23 −33 ˙˙˙˙˙
b. ÍÍÍÍÍ 23
c.
d.
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −33 −28 ˙˙˙
ÍÍÍ 33
ÍÍÍ −1 −2 ˙˙˙
ÍÍÍ 1
28 ˙˙˙
2 ˙˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
ÍÍ
3
0
˙˙˙˙ − 3 ÍÍÍÍÍ 3
____ 24. Simplify: −5 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍÍ
ÍÎ −1
ÍÎ 0 7 ˙˙˚
ÍÈÍÍ
˙˘˙˙
ÍÍ
˙˙
a. ÍÍÍÍÍ −6 −12 ˙˙˙˙˙
b.
ÍÍÍÍ 3
˙˙˙˙
41
Î
˚
˘˙˙
˙
4 ˙˙˙˙
˙˙˙
˙
−2 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ 6
ÍÍÍ
ÍÍÍ
ÍÍÎ −3
˙˘˙˙
12 ˙˙˙˙
˙˙˙
˙
−41 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ −24
ÍÍÍÍ
ÍÍÍ
ÍÎ 3
˙˘˙˙
−12 ˙˙˙˙
˙˙˙
˙
−29 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 24
ÍÍÍÍ
ÍÍÍ
ÍÎ −3
˙˘˙˙
12 ˙˙˙˙
˙˙˙
˙
29 ˙˙˙˚
Name: ________________________
ID: O
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
589
656
850
882
933
1041
1071
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 917
b. 1077
c. 877
d. 997
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 3.6x + 18.2, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the average typing speed of the students
b. the improvement in typing speed per week for the average student
c. the typing speed of a student with no experience
d. the highest typing speed recorded
____ 27. Suppose a ball is dropped from a height of 6 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 6 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 7th
bounce?
a. 2.23 meters
b. 2.87 meters
c. 3.53 meters
d. 2.49 meters
____ 28. Martha has $266. She needs $2300 to start an account. She earns $75 per day working, of which she saves
$65. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2300?
a. 2300 = 75d + 266
c. 2300 = 75d − 266
b. 2300 = 65d − 266
d. 2300 = 65d + 266
____ 29. Maria sells paintings in an art gallery. She earns $200 each week plus a commission equal to 4% of her
sales. This week her goal is to earn at least $608. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $10,200
b. $11,200
c. $8,200
d. $9,200
5
Name: ________________________
ID: O
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will not intersect the original line.
b. The new line will be the same as the original line.
c. The new line will be perpendicular to the original line.
d. The new line will be parallel to the original line.
____ 31. Solve: x 2 + 2x + 1 = 25
ÏÔ
¸Ô
a. ÔÌ 8,− 3 Ô˝
Ó
˛
ÏÔ
¸Ô
ÔÌÓ −8, 3 Ô˝˛
b.
c.
ÏÔ
¸Ô
ÔÌÓ 6,− 4 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −6, 4 Ô˝˛
d.
8
d.
−6m n
____ 32. Given:
6x − 4y = −12
7x − 5y = −16
What is the value of x?
a. –4
b.
Ê
ˆÊ
6
c.
2
c.
−6m n
ˆ
____ 33. Simplify: ÁÁÁÁ 3m n 0 ˜˜˜˜ ÁÁÁÁ −2m 7 n 9 ˜˜˜˜
Ë
¯Ë
¯
a.
16
b.
−6m n
−6m n
16
8 9
7 0
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $3.72 to mail a 5-pound
box. How much would it cost to mail a 13-pound box?
$8.79
b. $9.67
c. $11.71
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (5m − 3) ÁÁÁÁ 2m 2 + m − 5 ˜˜˜˜
a.
b.
3
2
10m − 6m − 28m + 15
3
2
10m − 28m − 3m + 15
c.
d.
6
3
2
10m − 6m − 3m + 15
3
2
10m − m − 28m + 15
$12.88
Name: ________________________
ID: O
____ 36. Each year, Cathy invests $2,000 in her account. The account pays an interest rate of 6.5%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 36 years?
a. $271,000
b. $285,000
c. $289,000
d.
$283,000
____ 37. The endpoints of AC are A ÁÊË −3, 4 ˜ˆ¯ and C ÁÊË 2, 3 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
5 1
( ,− )
2 2
b.
1 7
( ,− )
2 2
c.
1 1
( , )
2 2
d.
1 7
(− , )
2 2
d.
x + 2y = –11
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
2x – y = –17
b.
2x + y = 14
c.
7
–x + 2y = –6
Name: ________________________
ID: O
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Monday
˙˘
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Newspapers
˙˘
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˙˘
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 5 boys
and 4 girls were absent. On Tuesday, 3 boys and 4 girls were absent. On Wednesday, 2 boys and 4 girls
were absent. On Thursday, 3 boys and 5 girls were absent. On Friday, 3 boys and 3 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 5 3 2 3 3 ˙˙˙˙˙
ÍÍÍÍ 4 3 2 3 3 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 4 4 4 5 3 ˙˚
ÍÎ 5 4 4 4 3 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
3
3
2
3
5
2
3
2
3
3
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 4 4 4 5 3 ˙˙˙˙˚
ÍÎ 3 5 4 4 4 ˙˙˚
8
Name: ________________________
ID: O
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 12
24
12 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 9
27
24 ˙˙˙˚
In May and June his sales are a third of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙˙˙˘
˙
May ÍÍÍÍ 4
8
4 ˙˙˙˙
May ÍÍÍÍ 4
24
12 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
9
8 ˙˚
27
24 ˙˙˙˚
June ÍÎ 3
June ÍÎ 3
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˙˙˙˘
ÍÍÍ
˙˙˙
ÍÍÍ
May ÍÍ 36
24
12 ˙˙
May ÍÍ 36
72
36 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
27
24 ˙˙˙˚
81
72 ˙˙˙˚
June ÍÍÍÎ 27
June ÍÍÍÎ 27
____ 42. What value of m makes the equation true?
ÈÍÍ
ÍÍÍ
4
−3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ m
a.
–4
b.
2
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
3 ˙˙
−2
˙˙˙ + 4 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−1 ˙˚
ÍÎ −2
c. –1
˘˙˙ ÈÍÍ
˙ Í
−3 ˙˙˙˙ ÍÍÍÍ −5
˙˙˙ = ÍÍÍ
˙ Í
3 ˙˙˙˚ ÍÍÍÎ 4
˘˙˙
˙
10 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˚
d.
–5
____ 43. The equation y = 465.79x + 4797 represents the value of a work of art from 1964 to 2005. What does the
number 4797 represent?
value of the work of art in 2005
the yearly decrease in value
a.
b.
c.
d.
value of the work of art in 1964
the yearly increase in value
____ 44. A computer is purchased for $708 and depreciates at $40 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 40 (708 − t )
c.
V = 708 − 40t
d.
a.
b.
V = 40t
V = 40t − 708
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1200 feet?
a. 8 seconds
b. 12 seconds
c. 6 seconds
d. 9 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $50 to join and then $5 per book. The
second club costs $15 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 5
b. 3
c. 7
d. 9
____ 47. A group of 2 children and 4 adults pay a total of $160 to take a karate class. A group of 2 children and 2
adults take the same karate class for $110. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $80
b. $30
c. $25
d. $55
9
Name: ________________________
ID: O
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the y-intercept becomes positive
c.
d.
the slope would become positive
the y-intercept becomes negative
____ 49. The Outboard Motor Company can produce 18 motors in 21 weeks. Assuming a direct variation, how many
motors can the company produce in 35 weeks?
30 motors
b. 50 motors
c.
a.
d.
45 motors
55 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 + 0.2) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 20%
The value of the car is increasing by 80%
The value of the car is decreasing by 80%
The value of the car is decreasing by 20%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 18a 8 f 5 − 27a 3 f 7 + 6a 6 f 10 ˜˜˜˜ ?
Ë
a.
3 5
b.
3a f
10 7
3a f
¯
c.
6 7
3a f
8 10
d.
3a f
d.
3
____ 52. Simplify:
Ê
Ê
3ˆ
3
3ˆ
−a − 4 ÁÁÁÁ −2a + 2b ˜˜˜˜ + 2 ÁÁÁÁ −2a + 2b ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
3
−4a + 7a − 4b
3
3a + 4b
3
3
3
c.
d.
3a − 4b
c.
53
3
3
4a − 7a + 4b
3
____ 53. What is the length of AB ?
a.
3
5
b.
17
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = 2x+ 12 represents 12th
Street. What is the equation representing Avenue J if it passes through the point ÊÁË −2, 5 ˜ˆ¯ ?
a. y = 2x + 9
b. y = 2x + 4
c. y = − 1 x + 4
d. y = − 1 x + 9
2
2
10
Name: ________________________
ID: O
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $8. 50
$9. 50
$6. 00
$8. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $9. 75
$11. 00 $10. 00 $11. 75 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14. 75 $13. 75 $14. 00 $12. 25 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 7 large pizzas and 5 medium pizzas. Which pizza shop will charge the least for the
order?
a. John's Pizza
b. Romero's
c. Sal's
d. Alfredo's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
14
14 ˙˙˙˙
10
Team 1 ÍÍÍÍ 20
Team 1 ÍÍÍÍ 13
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
11
12 ˙˚
15
Team 2 ÍÎ 17
Team 2 ÍÎ 13
What is the total number of ties by Team 2 for these two seasons?
a. 23
b. 26
c. 30
d. 25
Ties
˘˙˙
˙
11 ˙˙˙˙
˙˙˙
˙
11 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $9.19
$14.72 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $9.75
$14.14 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $10.27 $13.69 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $10.75 $13.18 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $11.22 $12.63 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages decreased, while college degree generally wages increased.
b. both groups showed an overall decrease in hourly wages
c. both groups showed an overall increase in hourly wages
d. high school diploma wages increased, while college degree generally wages decreased.
11
Name: ________________________
ID: O
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
2.5
3.5
3
5
4
6
Visit (in
hours)
Cost of
$66
$94
$86
$107
$91
$112
$72
Visit
The equation of the line of best fit for the data is y = 11.27x + 70.4. What does the value of y represent?
a. length of visit
c. flat fee
b. cost of a visit
d. hourly rate
____ 59. An amusement park charges $10 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 6 times on a roller coaster. Her total payment was $34. Maria rode 13 times on a roller
coaster. What was her total payment?
a. $58
b. $62
c. $38
d. $34
____ 60. Which equation describes the function below?
x
–2
4
5
6
a.
b.
y = x + 47
y = 3x + 21
c.
y
15
51
78
111
2
y = 3x + 3
d.
2
y = x + 75
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $165. How many 10-dollar bills
does Carol have?
12
a.
b.
15
c.
3
d.
18
____ 62. In 2000 Jim planted a tree that was 4 1 feet tall. In 2004 the tree was 31 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 27 feet per year
c. 27 3 feet per year
4
3
b. 6 feet per year
d. 6 feet per year
4
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.506 (1.59) , where x is the number of years after 1985. In what year were there approximately 3 thousand
cell phones?
a. 1993
b. 1995
c. 1989
d. 1987
____ 64. Given:
3x − y = −9
3x − 3y = 3
What is the value of y?
a. –6
b.
–11
c.
12
1
d.
–5
ID: O
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: C
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
B
C
D
C
D
B
B
D
A
C
D
C
C
B
D
B
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: O
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
D
D
A
A
A
A
C
B
D
A
D
D
A
A
A
A
B
C
A
A
D
B
B
C
B
B
C
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: P
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
72n
2n
a.
____
70n
c.
70n
5
d.
36n
5
b.
15
450
7
c.
d.
60
196
15
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 20m 7 n 5 + 40m 3 n 7 + 10m 5 n 9 ˜˜˜˜ ?
Ë
a.
____
b.
2
2. If y varies directly as x, and y = 14 when x = 30, then what is the value of x when y = 28?
a.
____
36n
2
10
5
7 9
10m n
b.
5 7
10m n
c.
¯
9 7
10m n
d.
3 5
10m n
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.03) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 10 years was $17,640.43. What is the balance at the end of 14 years?
a. $19,854.46
b. $23,707.26
c. $18,169.64
d. $19,276.17
____
5. On a map, Luis’s house is located at ÊÁË −1, 5 ˆ˜¯ and Melvin’s house is at ÊÁË 9, 9 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(–4, –7)
b. (–4, –2)
c. (5, 2)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÈÍÍ
˘˙˙
Í
˙
Belts ÍÍÍÍ 1015 1064 1132 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1052 1096 1069 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1130 1107 1132 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1103 1128 1194 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. belts
b. shirts
c. pants
d.
____
(4, 7)
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
−4 −5
0 ˙˙
−5 9
X = ÍÍÍÍÍ
˙˙˙
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÍÍ
˙˙˙
6 −5 ˙˚
ÍÎ −1 0
ÍÎ −4
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘
ÍÍÍ −9 4
˙˙˙
ÍÍÍ −1 14 8 ˙˙˙˙˙
ÍÍÍ 1 −14 −8 ˙˙˙˙˙
8
˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
c. ÍÍÍÍ
˙˙
˙˙˙
ÍÍÍ
ÍÍÍÍ 3 −6 4 ˙˙˙˙˙
ÍÍÍÍ −3
˙˙˚
6
−
4
ÍÎ −5 6 −6 ˙˙˙˚
Î
˚
Î
1
hats
˘˙˙
˙
8 ˙˙˙˙
˙˙˙
˙
−1 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 9
ÍÍÍÍ
ÍÍÍ
ÍÎ 5
−4
−6
˙˘˙˙
−8 ˙˙˙˙
˙˙˙
˙
6 ˙˙˙˚
Name: ________________________
____
ID: P
8. A caterer’s recipes are each designed to make 3 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 3
Eggs
3
3 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 3
1
1 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
4
5 ˙˙˙˙
Sugar (cups) ÍÍ 1
Î
˚
How much flour is needed to make 33 servings of bread and 33 servings of cake?
a. 55
b. 5
c. 44
d. 4
____
ÍÈÍÍ
˙˘
ÍÍÍ −1 −3 4 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
ÍÎ 0 −6 8 ˙˙˙˚
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ 32
˙˙˙
Í
8
−
32
˙˙˙ b. ÍÍÍÍÍ 40
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙˙
ÍÍÎ −4
ÍÎ 4 24 −28 ˙˙˚
ÍÈÍÍ
ÍÍÍ 9
ÍÍÍ
ÍÍÍ
ÍÍÎ −1
16
24
˙˘˙˙
4 ˙˙˙˙
˙˙˙ . What is 4Y– 4X?
˙
0 −1 ˙˙˙˚
˘˙˙
ÍÈÍÍ
˙˘˙˙
˙
ÍÍÍ −32 −8
˙˙˙
0 ˙˙˙˙
32
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙
˙˙˙
ÍÍÍ
−36 ˙˚
−24 28 ˙˙˙˚
ÍÎ −4
1
ÍÈÍÍ
ÍÍÍ −40
ÍÍÍÍ
ÍÍÍ
ÍÎ 4
−16
−24
˙˘˙˙
0 ˙˙˙˙
˙˙˙
˙
36 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
56o
23o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
59o
55o
50o
49o
45o
41o
o
o
o
o
o
Avg. Temp
18
27
29
33
36
45o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.4o
b. 1.3o
c. 1o
d. 1.6o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 5% has a principal of $220,000. If no more deposits or withdrawals
are made, about how much money will be in the account after four years?
a. $267,700
b. $260,000
c. $267,400
d. $266,600
____ 12. Given:
6x + 2y = −6
6x + 3y = −12
What is the value of x + y?
a. 1
b. –5
c.
7
d.
–6
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 82 feet per second is
2
given by the formula h(t) = −16t + 82t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 264 ft
b. 100 ft
c. 182 ft
d. 346 ft
____ 14. A taxi ride cost $10.80. The driver charged $4 plus $0.20 per 0.2 mile traveled. How far did the taxi travel on
this trip?
6.8 miles
a.
b.
13.5 miles
c.
2
34.3 miles
d.
34 miles
Name: ________________________
ID: P
____ 15. The average price of a movie ticket in the year 1994 was $4.89. The average price of a movie ticket in the
year 2001 was $9.02. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2014?
a. $16.69
b. $5.19
c. $13.91
d. $13.15
____ 16. What is the value of y in the system of equations below?
5x − 5y = −5
a.
2
b.
–1
c.
5
y = − x+8
2
5
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
3
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.5. What was the approximate speed of the car if it created skid
marks 208 ft long?
a. 56 mph
b. 15 mph
c. 50 mph
d. 28 mph
____ 18. Multiply: (m + 15) (−2m + 6)
a. –m2– 24m+ 21
b. –2m2– 24m+ 90
c.
d.
–2m2+ 90
–m2+ 21
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 6, and the
amount of space between rows is 5, what is the approximate rate of water flow that will result in a precipitation
rate of 25?
a. 4.6
b. 3.2
c. 0.3
d. 7.8
____ 20. At the airport, the new runway will be perpendicular to a nearby highway. On a scale drawing of the airport,
the equation that represents the highway is −x − 3y = 4. Which equation could represent the new runway?
a. –12x + 4y = 12
b. 4x – 12y = –17
c. –12x – 4y = –11 d. –4x – 12y = 14
____ 21. The midpoint of XY is point MÊÁË −2,− 3 ˆ˜¯ . If the coordinates of X are ÊÁË 8,− 7 ˆ˜¯ , what are the coordinates of Y?
a.
ÊÁ 3, 1 ˆ˜
Ë
¯
b.
ÊÁ 3,− 5 ˆ˜
Ë
¯
c.
3
ÊÁ −12, 1 ˆ˜
Ë
¯
d.
ÊÁ −12,− 5 ˆ˜
Ë
¯
Name: ________________________
ID: P
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 3.8
ÍÍÍ
Í
30-month ÍÍÍÍ 6.2
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 2.7
ÍÍÍ
Í
30-month ÍÍÍÍ 2.7
Î
Last Week
2.7
4.2
5.8
Last Week
3.8
4.2
3.4
Year Ago c.
˘˙
2.7 ˙˙˙˙
˙˙˙
˙
3.4 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 2.7
ÍÍÍ
Í
30-month ÍÍÍÍ 2.7
Î
Year Ago d.
˙˘
6.2 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
This Week
Year Ago
˘˙
6.2 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
3.4
4.2
3.8
Last Week
ÍÈ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 3.4
ÍÍÍ
Í
30-month ÍÍÍÍ 6.2
Î
Year Ago
˙˘
2.7 ˙˙˙˙
˙˙˙
˙
3.8 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˚
2.7
4.2
5.8
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 14 18 ˙˙˙˙
ages 2-5 ÍÍÍÍ 12 12 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 14 12 ˙˙ Matrix M: ages 6-10 ÍÍ 10 18 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 11 16 ˙˙˙˙
ages 11-15 ÍÍÍÍ 15 16 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘
ÍÍÍ 2
ÍÍÍ 26
ÍÍÍ −26 30 ˙˙˙˙˙
ÍÍÍ −2 −6 ˙˙˙˙˙
6 ˙˙˙˙
−30 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
30 ˙˙˙˙
−
4
6
a. ÍÍÍÍÍ 4 −6 ˙˙˙˙˙
b. ÍÍÍÍÍ −24 −30 ˙˙˙˙˙
c. ÍÍÍÍÍ 24
d.
Í
˙˙˙
Í
˙
Í
˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −4
ÍÍÍ −26 −32 ˙˙˙
ÍÍÍ 26
ÍÍÍ 4
0 ˙˙˙
32 ˙˙˙
0 ˙˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
−
1
−
8
1
6
˙˙˙
˙˙˙˙ + 2 ÍÍÍÍ
____ 24. Simplify: −4 ÍÍÍÍÍ
˙˙
˙˙˙
ÍÍ
ÍÍÍ
Í
ÍÍÎ −5 −2 ˙˙˙˙˚
ÍÎ −6 −6 ˙˙˚
ÈÍÍ
ÍÈÍÍ
˙˘˙˙
˙˘˙˙
ÍÍÍ
ÍÍÍ −2
˙˙˙
˙˙˙
−
20
−
6
−
44
Í
˙˙˙
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
˙
˙˙˙
ÍÍÍ
ÍÍÍÍ −34 −28 ˙˙˙˙
˙˙˚
−
14
−
20
ÍÎ
Î
˚
c.
4
ÍÈÍÍ
ÍÍÍ 6
ÍÍÍ
ÍÍÍ
ÍÍÎ 14
˙˘˙˙
44 ˙˙˙˙
˙˙˙
˙
20 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 2
ÍÍÍ
ÍÍÍ
ÍÍÎ 34
˙˘˙˙
20 ˙˙˙˙
˙˙˙
˙
28 ˙˙˙˚
Name: ________________________
ID: P
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
516
697
822
891
939
962
1085
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 744
b. 544
c. 824
d. 704
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 4.2x + 17, where x is the number of weeks of experience of a student and y
is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the improvement in typing speed per week for the average student
b. the highest typing speed recorded
c. the typing speed of a student with no experience
d. the average typing speed of the students
____ 27. Suppose a ball is dropped from a height of 10 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 10 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 13th
bounce?
a. 2.54 meters
b. 2.42 meters
c. 2.16 meters
d. 1.64 meters
____ 28. Martha has $283. She needs $2000 to start an account. She earns $75 per day working, of which she saves
$50. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2000?
a. 2000 = 75d − 283
c. 2000 = 50d − 283
b. 2000 = 75d + 283
d. 2000 = 50d + 283
____ 29. Maria sells paintings in an art gallery. She earns $250 each week plus a commission equal to 4% of her
sales. This week her goal is to earn at least $520. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $6,800
b. $8,800
c. $7,800
d. $8,300
5
Name: ________________________
ID: P
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will be parallel to the original line.
b. The new line will be the same as the original line.
c. The new line will not intersect the original line.
d. The new line will be perpendicular to the original line.
____ 31. Solve: x 2 − 9x − 4 = −18
ÏÔ
¸Ô
a. ÔÌ 3, 6 Ô˝
b.
Ó
ÏÔ
¸Ô
ÔÌÓ 2, 7 Ô˝˛
˛
c.
ÏÔ
¸Ô
ÔÌÓ −2,− 7 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −3,− 6 Ô˝˛
d.
20
d.
−4a b
____ 32. Given:
8x + 3y = −4
3x + y = −4
What is the value of x?
a. –28
b.
Ê
ˆÊ
12
c.
–8
c.
−4a b
ˆ
____ 33. Simplify: ÁÁÁÁ a 2 b 9 ˜˜˜˜ ÁÁÁÁ −4a 8 b 10 ˜˜˜˜
Ë
¯Ë
¯
a.
16
−4a b
90
b.
10
−4a b
19
11
18
18
11
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.29 to mail a 6-pound
box. How much would it cost to mail a 13-pound box?
$9.30
b. $8.60
c. $11.72
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (4k + 3) ÁÁÁÁ 2k 2 − k + 2 ˜˜˜˜
3
2
c.
8k + 5k − 3k + 6
3
2
d.
8k + 2k + 5k + 6
a.
8k + 6k + 5k + 6
b.
8k + 6k − 3k + 6
6
3
2
3
2
$10.85
Name: ________________________
ID: P
____ 36. Each year, Cathy invests $1,000 in her account. The account pays an interest rate of 5.5%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 34 years?
a. $89,000
b. $101,000
c. $100,000
d.
$113,000
____ 37. The endpoints of AC are A ÁÊË −8, 3 ˜ˆ¯ and C ÁÊË 8, 3 ˜ˆ¯ . What are the coordinates of the midpoint?
a. (8, 0)
b. (0, −3)
c. (0, 3)
d. (0, 0)
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
x + 2y = 19
b.
–x + 2y = 1
c.
7
2x – y = 9
d.
2x + y = –13
Name: ________________________
ID: P
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 250
ÍÍÍ
Í
Wednesday ÍÍÍÍ 200
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 250
ÍÍÍ
Í
Wednesday ÍÍÍÍ 200
Î
Monday
˙˘
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
˙˘
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
175 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˙˘
175 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 3 boys
and 2 girls were absent. On Tuesday, 4 boys and 5 girls were absent. On Wednesday, 5 boys and 2 girls
were absent. On Thursday, 3 boys and 2 girls were absent. On Friday, 4 boys and 5 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 5 4 5 3 4 ˙˙˙˙˙
ÍÍÍÍ 3 4 5 3 4 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 2 5 2 2 5 ˙˚
ÍÎ 2 5 2 2 5 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
3
5
4
3
2
4
5
3
4
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 3 5 2 2 5 ˙˙˙˙˚
ÍÎ 5 2 2 5 2 ˙˙˚
8
Name: ________________________
ID: P
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 24
27
21 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 18
12
18 ˙˙˙˚
In May and June his sales are a third of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙˙˙˘
˙
May ÍÍÍÍ 8
9
7 ˙˙˙˙
May ÍÍÍÍ 72
81
63 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
4
6 ˙˚
36
54 ˙˙˙˚
June ÍÎ 6
June ÍÎ 54
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˙˙˙˘
ÍÍÍ
˙˙˙
ÍÍÍ
May ÍÍ 72
27
21 ˙˙
May ÍÍ 8
27
21 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
12
18 ˙˙˙˚
12
18 ˙˙˙˚
June ÍÍÍÎ 54
June ÍÍÍÎ 6
____ 42. What value of x makes the equation true?
ÈÍÍ
ÍÍÍ
x
−3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ −5
a.
0
b.
8
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
4 ˙˙
−1
˙˙˙ + 5 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−5 ˙˚
ÍÎ 5
c. –1
˘˙˙ ÈÍÍ
˙ Í
−4 ˙˙˙˙ ÍÍÍÍ −5
˙˙˙ = ÍÍÍ
˙ Í
−3 ˙˙˙˚ ÍÍÍÎ 9
˘˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
9 ˙˙˙˚
d.
1
____ 43. The equation y = 426.71x + 2448 represents the value of a work of art from 1964 to 2005. What does the
number 426.71 represent?
value of the work of art in 1964
value of the work of art in 2005
a.
b.
c.
d.
the yearly decrease in value
the yearly increase in value
____ 44. A computer is purchased for $652 and depreciates at $70 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 652 − 70t
c.
V = 70 (652 − t )
d.
a.
b.
V = 70t − 652
V = 70t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1100 feet?
a. 12 seconds
b. 7 seconds
c. 8 seconds
d. 3 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $30 to join and then $10 per book. The
second club costs $15 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 4
b. 6
c. 8
d. 10
____ 47. A group of 4 children and 7 adults pay a total of $120 to take a karate class. A group of 4 children and 2
adults take the same karate class for $100. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $4
b. $23
c. $31
d. $27
9
Name: ________________________
ID: P
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the y-intercept becomes positive
c.
d.
the slope would become positive
the y-intercept becomes negative
____ 49. The Outboard Motor Company can produce 20 motors in 10 weeks. Assuming a direct variation, how many
motors can the company produce in 31 weeks?
82 motors
b. 62 motors
c.
a.
d.
72 motors
67 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.15) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 15%
The value of the car is increasing by 15%
The value of the car is decreasing by 85%
The value of the car is increasing by 85%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 14e 7 d 6 − 42e 4 d 8 − 28e 6 d 9 ˜˜˜˜ ?
Ë
a.
6 8
b.
14e d
4 6
14e d
¯
c.
7 9
d.
14e d
9 8
14e d
____ 52. Simplify:
Ê
Ê 2
2ˆ
2ˆ
−2a − 3 ÁÁÁÁ 3a + 3b ˜˜˜˜ − 2 ÁÁÁÁ 2a − b ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
2
−4a − 11a − 7b
2
−15a − 7b
2
c.
d.
2
2
−15a + 7b
2
2
4a + 11a + 7b
2
____ 53. What is the length of AB ?
a.
5
b.
5
c.
61
d.
61
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = − 1 x– 10 represents 12th
3
Ê
Á
Street. What is the equation representing Avenue J if it passes through the point Ë −3,− 2 ˜ˆ¯ ?
a. y = 3x + 7
b. y = − 1 x – 3
c. y = 3x – 3
d. y = − 1 x + 7
3
3
10
Name: ________________________
ID: P
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $8. 00
$7. 00
$7. 00
$6. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $11. 75 $9. 50
$9. 00
$10. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14. 25 $12. 00 $14. 25 $13. 50 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 5 large pizzas and 4 medium pizzas. Which pizza shop will charge the least for the
order?
a. Sal's
b. John's Pizza
c. Alfredo's
d. Romero's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
16
14 ˙˙˙˙
18
Team 1 ÍÍÍÍ 16
Team 1 ÍÍÍÍ 20
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
12
19 ˙˚
17
Team 2 ÍÎ 18
Team 2 ÍÎ 18
What is the total number of ties by Team 2 for these two seasons?
a. 29
b. 36
c. 34
d. 25
Ties
˘˙˙
˙
11 ˙˙˙˙
˙˙˙
˙
15 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.71
$14.12 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $9.24
$14.60 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $9.77
$15.05 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $10.26 $15.50 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $10.73 $16.02 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall decrease in hourly wages
b. both groups showed an overall increase in hourly wages
c. high school diploma wages decreased, while college degree generally wages increased.
d. high school diploma wages increased, while college degree generally wages decreased.
11
Name: ________________________
ID: P
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2.5
2
3
3.5
4.5
4
6
Visit (in
hours)
Cost of
$55
$95
$89
$106
$95
$112
$62
Visit
The equation of the line of best fit for the data is y = 14.16x + 71.53. What does the y-intercept represent?
a. length of visit
c. flat fee
b. hourly rate
d. cost of a visit
____ 59. An amusement park charges $11 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 10 times on a roller coaster. Her total payment was $51. Maria rode 6 times on a roller
coaster. What was her total payment?
a. $51
b. $27
c. $43
d. $35
____ 60. Which equation describes the function below?
x
–2
6
5
4
a.
2
y = −3x + 72
b.
y = −3x + 62
c.
y
12
44
33
24
2
y = x +8
d.
y = x + 14
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $330. How many 5-dollar bills
does Carol have?
30
a.
b.
36
c.
24
d.
6
____ 62. In 2000 Jim planted a tree that was 3 1 feet tall. In 2004 the tree was 18 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 15 feet per year
c. 3 3 feet per year
4
b. 3 feet per year
d. 15 3 feet per year
4
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.473 (1.62) , where x is the number of years after 1985. In what year were there approximately 22
thousand cell phones?
a. 1991
b. 1995
c. 1993
d. 1989
____ 64. Given:
4x + 5y = −10
6x + 3y = 12
What is the value of y?
a. 11
b.
–1
c.
12
–6
d.
5
ID: P
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: B
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
C
D
D
C
D
C
A
D
A
D
B
C
B
A
D
C
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: P
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
A
D
C
A
A
D
A
C
B
D
B
B
A
B
A
D
A
C
C
B
C
D
C
D
C
C
C
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: Q
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
60q
4q
a.
____
b.
56q
2
c.
15q
2
d.
56q
1.4
294
b.
28
3
c.
189
d.
27
7
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 30m 7 n 7 − 42m 4 n 8 − 24m 5 n 10 ˜˜˜˜ ?
Ë
a.
____
1.4
5
2. If y varies directly as x, and y = 6 when x = 42, then what is the value of x when y = 27?
a.
____
15q
7
10 8
6m n
b.
7 10
c.
6m n
¯
5 8
6m n
d.
4 7
6m n
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.015) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 7 years was $17,491.69. What is the balance at the end of 11 years?
a. $18,565.04
b. $18,290.68
c. $19,413.06
d. $17,754.07
____
5. On a map, Luis’s house is located at ÊÁË −2, 1 ˜ˆ¯ and Melvin’s house is at ÊÁË 3, 6 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(–0.5, –3.5)
b. (–0.5, –2.5)
c. (2.5, 2.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1023 1127 1143 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1029 1076 1091 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1082 1128 1113 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1191 1128 1102 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. hats
b. pants
c. shirts
d.
____
(0.5, 3.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ −9
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 1
ÈÍÍ
˙˘˙˙
ÍÍÍ
−6 ˙˙˙˙
2 −9
˙˙˙
Y = ÍÍÍÍÍ
ÍÍÍ
˙˙˙
6
3 ˙˚
ÍÎ 3 −6
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
˙˙˙
ÍÍÍÍ 7 9
˙˙˙˙
ÍÍÍÍ 11 −9
−
11
9
−
4
8
4
Í
˙
˙˙˙
˙˙˙ b. ÍÍÍ
˙˙˙
ÍÍÍ
a. ÍÍÍÍ
c.
˙˙
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ −4 0 −12 ˙˙˚
ÍÍÎ 2 −12 6 ˙˙˙˙˚
12 −6 ˙˙˚
ÍÎ −2
0
1
belts
˙˘˙˙
−2 ˙˙˙˙
˙˙˙
˙
9 ˙˙˙˚
d.
ÈÍÍ
ÍÍÍ
ÍÍÍ −7
ÍÍÍ
ÍÍ 4
ÍÎ
−9
0
˘˙˙
˙
−8 ˙˙˙˙
˙˙˙
˙
12 ˙˙˙˚
Name: ________________________
____
ID: Q
8. A caterer’s recipes are each designed to make 3 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 3
Eggs
5
2 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 4
6
4 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
3
1 ˙˙˙˙
Sugar (cups) ÍÍ 2
Î
˚
How much flour is needed to make 30 servings of bread and 30 servings of cake?
a. 50
b. 100
c. 10
d. 5
____
ÍÈÍÍ
˙˘˙˙
ÍÍÍ −9
0 −4 ˙˙˙˙
Í
9. Given X = ÍÍÍ
˙˙˙ and Y =
ÍÍÍ
˙
9 ˙˙˙˚
ÍÎ 3 −4
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ −15 12 40 ˙˙˙˙˙
Í
˙˙˙ b. ÍÍÍÍÍ 15
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙
ÍÍÎ −9
31 −33 ˙˙˙˚
ÍÎ 9
ÍÈÍÍ
ÍÍÍ 3
ÍÍÍ
ÍÍÍ
ÍÍÎ −7
−12
−31
˙˘˙˙
−8 ˙˙˙˙
˙˙˙ . What is 3Y– 4X?
˙
−5 −1 ˙˙˙˚
˙˘˙˙
ÍÈÍÍ
˙˘˙˙
ÍÍÍ −45 12
˙˙˙
−40 ˙˙˙˙
8
˙˙˙
˙˙˙ c. ÍÍÍÍ
˙˙
˙˙˙
ÍÍÍ
33 ˙˚
−1 39 ˙˙˙˚
ÍÎ 33
−4
d.
ÍÈÍÍ
ÍÍÍ 45
ÍÍÍ
ÍÍÍ
ÍÍÎ −33
−12
1
˙˘˙˙
−8 ˙˙˙˙
˙˙˙
˙
−39 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
55o
19o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
58o
53o
50o
49o
45o
41o
o
o
o
o
o
Avg. Temp
17
24
31
32
34
44o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.5o
b. 1.6o
c. 1.2o
d. 0.6o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 4% has a principal of $270,000. If no more deposits or withdrawals
are made, about how much money will be in the account after seven years?
a. $349,900
b. $353,900
c. $350,800
d. $355,300
____ 12. Given:
6x + 3y = −6
6x + 4y = 20
What is the value of x + y?
a. –40
b. 12
c.
26
d.
–14
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 89 feet per second is
2
given by the formula h(t) = −16t + 89t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 114 ft
b. 25 ft
c. 203 ft
d. 292 ft
____ 14. A taxi ride cost $33.40. The driver charged $4 plus $0.70 per 0.6 mile traveled. How far did the taxi travel on
this trip?
37.5 miles
a.
b.
30.5 miles
c.
2
25.2 miles
d.
42 miles
Name: ________________________
ID: Q
____ 15. The average price of a movie ticket in the year 1991 was $4.08. The average price of a movie ticket in the
year 2004 was $6.29. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2012?
a. $10.37
b. $8.50
c. $7.65
d. $5.61
____ 16. What is the value of y in the system of equations below?
7x + 3y = 6
a.
–12
b.
18
c.
7
y = − x+9
2
6
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–6
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.5. What was the approximate speed of the car if it created skid
marks 208 ft long?
a. 36 mph
b. 28 mph
c. 56 mph
d. 15 mph
____ 18. Multiply: (r + 6) (−3r − 9)
a. –3r2– 54
b. –3r2– 27r– 54
c.
d.
–2r2– 27r– 3
–2r2– 3
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 5, and the
amount of space between rows is 9, what is the approximate rate of water flow that will result in a precipitation
rate of 30?
a. 1.8
b. 14.0
c. 5.8
d. 0.2
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
equation that represents the highway is −2x + 4y = –9. Which equation could represent the new runway?
a. –2x – 4y = 7
b. –4x + 2y = –20
c. 2x – 4y = –3
d. –4x – 2y = –14
____ 21. The midpoint of XY is point MÊÁË −8,− 2 ˆ˜¯ . If the coordinates of X are ÊÁË −4, 6 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË −6,− 10 ˆ˜¯
b. ÊÁË −12, 2 ˆ˜¯
c. ÊÁË −12,− 10 ˆ˜¯
d. ÊÁË −6, 2 ˆ˜¯
3
Name: ________________________
ID: Q
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.8
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.8
Î
Last Week
3
5
5
Last Week
5
5
3
Year Ago c.
˘˙
5 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 3
ÍÍÍ
Í
30-month ÍÍÍÍ 5
Î
Year Ago d.
˙˘
7 ˙˙˙˙
˙˙˙
˙
6.2 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.8 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
2.9
5
6.2
Last Week
ÍÈ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
Year Ago
˙˘
2.8 ˙˙˙˙
˙˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˚
2.9
5
6.2
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 12 10 ˙˙˙˙
ages 2-5 ÍÍÍÍ 11 16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 10 18 ˙˙ Matrix M: ages 6-10 ÍÍ 13 16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 10 11 ˙˙˙˙
ages 11-15 ÍÍÍÍ 16 12 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘
ÍÍÍ −1
ÍÍÍ 23
ÍÍÍ −23 26 ˙˙˙˙˙
ÍÍÍ 1 −6 ˙˙˙˙˙
6 ˙˙˙˙
−26 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
34 ˙˙˙˙
−
3
2
a. ÍÍÍÍÍ 3 −2 ˙˙˙˙˙
b. ÍÍÍÍÍ −23 −34 ˙˙˙˙˙
c. ÍÍÍÍÍ 23
d.
Í
˙˙˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 6
ÍÍÍ −26 −23 ˙˙˙
ÍÍÍ 26
ÍÍÍ −6 −1 ˙˙˙˙˙
1 ˙˙˙
23 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙ ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙ ÍÍÍ
˙˙˙
−
9
8
3
7
˙˙˙˙ + ÍÍÍÍ
˙˙˙˙
____ 24. Simplify: 6 ÍÍÍÍÍ
˙˙˙ ÍÍÍ
˙˙˙
ÍÍÍ
ÍÎ −5 6 ˙˙˚ ÍÍÎ 6 3 ˙˙˚
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ 27 −41 ˙˙˙˙˙
ÍÍ
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍÍ −51
˙
ÍÍÍ
ÍÍÍÍ 36 −33 ˙˙˙˙
ÍÎ −24
Î
˚
˙˘˙˙
55 ˙˙˙˙
˙˙˙
˙
39 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ −27
ÍÍÍÍ
ÍÍÍ
ÍÎ −36
˙˘˙˙
41 ˙˙˙˙
˙˙˙
˙
33 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 51
ÍÍÍÍ
ÍÍÍ
ÍÎ 24
˙˘˙˙
−55 ˙˙˙˙
˙˙˙
˙
−39 ˙˙˙˚
Name: ________________________
ID: Q
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
547
684
810
860
917
1030
1099
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 823
b. 783
c. 703
d. 743
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.1x + 17.3, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the typing speed of a student with no experience
b. the improvement in typing speed per week for the average student
c. the highest typing speed recorded
d. the average typing speed of the students
____ 27. Suppose a ball is dropped from a height of 7 meters and bounces to 75% of its previous height after each
n
bounce. Using the formula h = 7 (0.75) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 4th
bounce?
a. 2.61 meters
b. 1.31 meters
c. 2.35 meters
d. 2.21 meters
____ 28. Martha has $235. She needs $2600 to start an account. She earns $65 per day working, of which she saves
$50. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2600?
a. 2600 = 50d − 235
c. 2600 = 65d − 235
b. 2600 = 50d + 235
d. 2600 = 65d + 235
____ 29. Maria sells paintings in an art gallery. She earns $225 each week plus a commission equal to 2.75% of her
sales. This week her goal is to earn at least $690. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $16,900
b. $15,400
c. $18,900
d. $15,900
5
Name: ________________________
ID: Q
____ 30. For the line graphed below, the x-intercept is changed to –4 and the slope is unchanged.
How will the graph of the line change?
a. The new line will be parallel to the original line.
b. The new line will be the same as the original line.
c. The new line will be perpendicular to the original line.
d. The new line will intersect the original line.
____ 31. Solve: x 2 − 2x + 1 = 9
ÏÔ
¸Ô
a. ÔÌ −1, 1 Ô˝
Ó
˛
ÏÔ
¸Ô
ÔÌÓ 4,− 2 Ô˝˛
b.
c.
ÏÔ
¸Ô
ÔÌÓ 1,− 1 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −4, 2 Ô˝˛
d.
–1
d.
−3m n
____ 32. Given:
8x − y = 8
4x + y = −20
What is the value of x?
a. –17
b.
Ê
ˆÊ
15
c.
–16
c.
−3m n
ˆ
____ 33. Simplify: ÁÁÁÁ m 2 n 2 ˜˜˜˜ ÁÁÁÁ −3m 4 n 9 ˜˜˜˜
Ë
¯Ë
¯
a.
8 18
b.
−3m n
13 4
−3m n
6 11
4 13
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $3.75 to mail a 5-pound
box. How much would it cost to mail a 11-pound box?
$8.25
b. $10.45
c. $7.62
a.
d.
Ê
ˆ
____ 35. Which expression is equivalent to ÁÊË 2p − 2 ˜ˆ¯ ÁÁÁÁ 3p 2 + p − 4 ˜˜˜˜
Ë
3
2
a.
6p − 6p − 10p + 8
b.
6p − 10p − 2p + 8
3
2
¯
3
2
3
2
c.
6p − 4p − 10p + 8
d.
6p − 6p − 2p + 8
6
$9.66
Name: ________________________
ID: Q
____ 36. Each year, Cathy invests $1,500 in her account. The account pays an interest rate of 4.1%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 48 years?
a. $211,000
b. $220,000
c. $225,000
d.
$205,000
____ 37. The endpoints of AC are A ÁÊË −6, 2 ˜ˆ¯ and C ÁÊË 1, 7 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
7 5
( , )
2 2
b.
5 9
(− , )
2 2
c.
5 9
( ,− )
2 2
d.
5 5
( ,− )
2 2
x + 2y = 3
d.
2x + y = –6
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
2x – y = –2
b.
–x + 2y = –13
c.
7
Name: ________________________
ID: Q
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 200
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˙˘
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 200
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
˙˘
175 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
175 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˙˘
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 4 girls were absent. On Tuesday, 4 boys and 2 girls were absent. On Wednesday, 5 boys and 3 girls
were absent. On Thursday, 3 boys and 2 girls were absent. On Friday, 3 boys and 3 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 4 4 5 3 3 ˙˙˙˙˙
ÍÍÍÍ 3 3 5 4 2 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 2 2 3 3 3 ˙˚
ÍÎ 3 2 3 2 4 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
2
4
5
3
3
5
4
5
3
3
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 3 2 3 2 3 ˙˙˙˙˚
ÍÎ 4 2 3 2 3 ˙˙˚
8
Name: ________________________
ID: Q
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 27
15
24 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 27
30
30 ˙˙˙˚
In May and June his sales are a third of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
ÍÈÍÍ
˙˙˙˘
ÍÈÍÍ
˙˙˙˘
May ÍÍÍÍ 9
5
8 ˙˙˙˙
May ÍÍÍÍ 81
15
24 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
10
10 ˙˚
30
30 ˙˙˙˚
June ÍÎ 9
June ÍÎ 81
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˙˙˙˘
ÍÍÍ
˙˙˙
ÍÍÍ
May ÍÍ 81
45
72 ˙˙
May ÍÍ 9
15
24 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
90
90 ˙˙˙˚
30
30 ˙˙˙˚
June ÍÍÍÎ 81
June ÍÍÍÎ 9
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
−5
−2 ÍÍÍÍÍ
ÍÍÍ
ÍÎ r
a.
7
b.
18
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
2 ˙˙
−5
˙˙˙ − 5 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
5 ˙˚
ÍÎ −4
c. 11
˘˙˙ ÈÍÍ
˙ Í
5 ˙˙˙˙ ÍÍÍÍ 10
˙˙˙ = ÍÍÍ
˙ Í
−1 ˙˙˙˚ ÍÍÍÎ −2
˘˙˙
˙
−2 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˚
d.
2
____ 43. The equation y = 455.84x + 3946 represents the value of a work of art from 1964 to 2005. What does the
number 3946 represent?
value of the work of art in 1964
the yearly increase in value
a.
b.
c.
d.
value of the work of art in 2005
the yearly decrease in value
____ 44. A computer is purchased for $659 and depreciates at $70 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 70t − 659
c.
V = 70t
d.
a.
b.
V = 70 (659 − t )
V = 659 − 70t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 500 feet?
a. 8 seconds
b. 7 seconds
c. 6 seconds
d. 4 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $50 to join and then $20 per book. The
second club costs $25 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 10
b. 12
c. 8
d. 16
____ 47. A group of 3 children and 4 adults pay a total of $120 to take a karate class. A group of 4 children and 2
adults take the same karate class for $110. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $35
b. $50
c. $20
d. $15
9
Name: ________________________
ID: Q
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the y-intercept becomes negative
c.
d.
the y-intercept becomes positive
the slope would become positive
____ 49. The Outboard Motor Company can produce 18 motors in 10 weeks. Assuming a direct variation, how many
motors can the company produce in 35 weeks?
63 motors
b. 93 motors
c.
a.
d.
83 motors
58 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 + 0.2) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 20%
The value of the car is increasing by 80%
The value of the car is decreasing by 80%
The value of the car is increasing by 20%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 40a 7 f 4 + 15a 4 f 7 + 5a 5 f 10 ˜˜˜˜ ?
Ë
a.
4 4
b.
5a f
5 7
5a f
¯
c.
7 10
5a f
10 7
d.
5a f
d.
4
____ 52. Simplify:
Ê
Ê 3
3ˆ
3ˆ
2a + 3 ÁÁÁÁ 5a + 2b ˜˜˜˜ − 3 ÁÁÁÁ −a + 2b ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
3
20a + 0b
3
3
−3a − 17a + 0b
c.
d.
3
3
3a + 17a + 0b
3
20a + 0b
3
3
____ 53. What is the length of AB ?
a.
2
5
b.
26
c.
10
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = − 1 x– 19 represents 12th
3
Ê
Á
Street. What is the equation representing Avenue J if it passes through the point Ë −3,− 1 ˜ˆ¯ ?
a. y = − 1 x – 2
b. y = 3x + 8
c. y = − 1 x + 8
d. y = 3x – 2
3
3
10
Name: ________________________
ID: Q
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $6. 50
$7. 50
$9. 00
$9. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $10. 75 $12. 00 $12. 25 $12. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $12. 50 $12. 75 $13. 75 $14. 25 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 7 large pizzas and 3 medium pizzas. Which pizza shop will charge the least for the
order?
a. Romero's
b. Sal's
c. John's Pizza
d. Alfredo's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
19
12 ˙˙˙˙
11
Team 1 ÍÍÍÍ 16
Team 1 ÍÍÍÍ 13
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
14
17 ˙˚
17
Team 2 ÍÎ 19
Team 2 ÍÎ 17
What is the total number of ties by Team 2 for these two seasons?
a. 31
b. 36
c. 27
d. 34
Ties
˘˙˙
˙
15 ˙˙˙˙
˙˙˙
˙
17 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.46
$13.64 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $7.98
$14.16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $7.53
$14.71 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $7.08
$15.20 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $6.55
$15.72 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages increased, while college degree generally wages decreased.
b. high school diploma wages decreased, while college degree generally wages increased.
c. both groups showed an overall decrease in hourly wages
d. both groups showed an overall increase in hourly wages
11
Name: ________________________
ID: Q
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
2.5
3.5
3
5
4.5
5.5
Visit (in
hours)
Cost of
$69
$80
$83
$109
$97
$119
$53
Visit
The equation of the line of best fit for the data is y = 17.05x + 57.92. What does the slope represent?
a. hourly rate
c. length of visit
b. flat fee
d. cost of a visit
____ 59. An amusement park charges $17 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 6 times on a roller coaster. Her total payment was $53. Maria rode 13 times on a roller
coaster. What was her total payment?
a. $101
b. $47
c. $95
d. $53
____ 60. Which equation describes the function below?
x
–3
3
5
8
a.
b.
y = x + 19
2
y = −3x + 263
c.
y
16
16
32
71
2
y = x +7
d.
y = −3x + 25
____ 61. Carol has four times as many 10-dollar bills as 5-dollar bills. She has a total of $270. How many 5-dollar bills
does Carol have?
24
a.
b.
30
c.
18
d.
6
____ 62. In 2000 Jim planted a tree that was 5 1 feet tall. In 2003 the tree was 25 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 20 3 feet per year
c. 20 1 feet per year
4
4
3
1
b. 6 feet per year
d. 6 feet per year
4
4
2
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.571 (1.53) , where x is the number of years after 1985. In what year were there approximately 17
thousand cell phones?
a. 1989
b. 1991
c. 1995
d. 1993
____ 64. Given:
4x + 5y = 12
6x + y = −8
What is the value of y?
a. –6
b.
–2
c.
12
4
d.
2
ID: Q
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: C
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
C
C
A
B
C
A
D
B
A
A
B
D
C
A
C
C
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: Q
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
C
B
B
A
C
A
D
C
A
A
B
A
D
A
C
B
B
B
D
B
A
C
C
D
B
D
C
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: R
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
a.
____
b.
42y
4
c.
14y
5
4y
4
d.
42y
1.8
b.
21
147
c.
d.
84
12
7
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 50p 7 q 2 + 45p 4 q 5 + 15p 5 q 7 ˜˜˜˜ ?
Ë
a.
____
1.8
9
2. If y varies directly as x, and y = 12 when x = 42, then what is the value of x when y = 6?
a.
____
4y
56y
7 7
5p q
b.
7 5
5p q
c.
¯
4 2
5p q
d.
5 5
5p q
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.03) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 8 years was $15,648.77. What is the balance at the end of 12 years?
a. $19,823.39
b. $17,612.83
c. $17,099.83
d. $16,118.23
____
5. On a map, Luis’s house is located at ÊÁË −7, 1 ˆ˜¯ and Melvin’s house is at ÊÁË 9, 4 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(–1, –1.5)
b. (8, 1.5)
c. (–1, –2.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1026 1088 1139 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Hats ÍÍ 1004 1021 1005 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1054 1094 1119 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Shirts ÎÍ 1196 1117 1148 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. hats
b. pants
c. shirts
d.
____
(1, 2.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
8
6
−1
7
Í
ÍÍÍ −3
˙
˙˙˙
X = ÍÍÍÍ
Y
=
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ 5 −7
ÍÎ 5 −8 −4 ˙˙˚
Î
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
11
−1
−4
−5
−13
−2
−11
1
4
˙˙˙
ÍÍÍ
˙˙˙ c. ÍÍÍ
˙˙˙
a. ÍÍÍÍÍ
b.
˙
Í
˙
Í
˙˙˙
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ −10 15
ÍÍÎ 0
5 ˙˙˚
13 ˙˙˚
1 −5 ˙˙˙˚
ÍÎ 0 −1
1
belts
˘˙˙
˙
3 ˙˙˙˙
˙˙˙
˙
−9 ˙˙˙˚
d.
ÈÍÍ
ÍÍÍ
ÍÍÍ 5
ÍÍÍ
ÍÍ 10
ÍÎ
13
−15
˘˙˙
˙
2 ˙˙˙˙
˙˙˙
˙
−13 ˙˙˙˚
Name: ________________________
____
ID: R
8. A caterer’s recipes are each designed to make 4 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 4
Eggs
2
1 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 2
4
4 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
5
1 ˙˙˙˙
Sugar (cups) ÍÍ 5
Î
˚
How much flour is needed to make 40 servings of bread and 40 servings of cake?
a. 6
b. 60
c. 100
d. 10
____
ÍÈÍÍ
˙˘
ÍÍÍ −2 −3 −8 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
3 −1 ˙˙˙˚
ÍÎ −6
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ −56 −54 −48 ˙˙˙˙˙
Í
˙˙˙ b. ÍÍÍÍÍ 56
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙˙
ÍÍÎ 24
ÍÎ −24 −14 26 ˙˙˚
ÍÈÍÍ
ÍÍÍ 8
ÍÍÍ
ÍÍÍ
ÍÍÎ −3
54
14
˙˘˙˙
0 ˙˙˙˙
˙˙˙ . What is –4Y– 6X?
˙
8 −8 ˙˙˙˚
˙˘˙˙
ÍÈÍÍ
˙˘˙˙
ÍÍÍ 20
˙˙˙
48 ˙˙˙˙
18
−48
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙
˙˙˙
ÍÍÍ
−26 ˙˚
ÍÎ −48 50 −38 ˙˙˙˚
9
ÍÈÍÍ
ÍÍÍ −20
ÍÍÍÍ
ÍÍÍ
ÍÎ 48
−18
−50
˙˘˙˙
48 ˙˙˙˙
˙˙˙
˙
38 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
55o
18o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
56o
53o
49o
48o
44o
43o
o
o
o
o
o
Avg. Temp
17
24
29
33
35
43o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 2o
b. 2.6o
c. 1.8o
d. 0.8o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 2% has a principal of $170,000. If no more deposits or withdrawals
are made, about how much money will be in the account after four years?
a. $183,900
b. $183,200
c. $178,500
d. $184,000
____ 12. Given:
5x − 5y = 5
5x + 5y = −15
What is the value of x + y?
a. –1
b. –2
c.
1
d.
–3
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 92 feet per second is
2
given by the formula h(t) = −16t + 92t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 396 ft
b. 120 ft
c. 212 ft
d. 304 ft
____ 14. A taxi ride cost $36.00. The driver charged $4 plus $0.80 per 0.8 mile traveled. How far did the taxi travel on
this trip?
37.9 miles
a.
b.
32 miles
c.
2
35.7 miles
d.
40 miles
Name: ________________________
ID: R
____ 15. The average price of a movie ticket in the year 1990 was $5.97. The average price of a movie ticket in the
year 2007 was $8.86. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2015?
a. $11.75
b. $10.22
c. $14.83
d. $8.18
____ 16. What is the value of y in the system of equations below?
3x + 5y = 13
a.
1
b.
–9
c.
3
y = − x+2
4
–4
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
5
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.2. What was the approximate speed of the car if it created skid
marks 201 ft long?
a. 7 mph
b. 15 mph
c. 35 mph
d. 22 mph
____ 18. Multiply: (−5r − 3) (−r − 9)
a. –6r2+ 48r– 12
b. 5r2+ 48r+ 27
c.
d.
5r2+ 27
–6r2– 12
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 4, and the
amount of space between rows is 5, what is the approximate rate of water flow that will result in a precipitation
rate of 25?
a. 3.1
b. 0.2
c. 5.2
d. 4.8
____ 20. At the airport, the new runway will be perpendicular to a nearby highway. On a scale drawing of the airport,
1
y = 10. Which equation could represent the new runway?
4
c. 12x + y = 17
d. x + 12y = –6
the equation that represents the highway is −3x +
a.
x – 12y = –4
b.
–12x + y = 18
____ 21. The midpoint of XY is point MÊÁË 8, 5 ˆ˜¯ . If the coordinates of X are ÊÁË 4,− 7 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË 6, 17 ˆ˜¯
b. ÊÁË 6,− 1 ˆ˜¯
c. ÊÁË 12, 17 ˆ˜¯
d. ÊÁË 12,− 1 ˆ˜¯
3
Name: ________________________
ID: R
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 2.4
ÍÍÍ
Í
30-month ÍÍÍÍ 2.3
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.3
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
Last Week
3.4
3.4
5
Last Week
2.4
3.4
5.4
Year Ago c.
˘˙
7 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 3.4
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
Year Ago d.
˙˘
2.7 ˙˙˙˙
˙˙˙
˙
3.4 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.3 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
2.4
3.4
5.4
Last Week
ÍÈ
6-month ÍÍÍÍ 2.3
ÍÍÍ
Í
12-month ÍÍÍÍ 2.4
ÍÍÍ
Í
30-month ÍÍÍÍ 2.7
Î
Year Ago
˙˘
7 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
5
3.4
3.4
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 16 12 ˙˙˙˙
ages 2-5 ÍÍÍÍ 10 14 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 10 17 ˙˙ Matrix M: ages 6-10 ÍÍ 10 17 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 13 10 ˙˙˙˙
ages 11-15 ÍÍÍÍ 10 18 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘
ÈÍÍ
˘˙
ÍÍÍ 26
ÍÍÍ −26 26 ˙˙˙˙˙
ÍÍÍ 6 −2 ˙˙˙˙˙
ÍÍÍ −6
−26 ˙˙˙˙
2 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
34 ˙˙˙˙
0
0
0
0
a. ÍÍÍÍÍ −20 −34 ˙˙˙˙˙
b. ÍÍÍÍÍ 20
c.
d.
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −23 −28 ˙˙˙
ÍÍÍ 23
ÍÍÍ 3 −8 ˙˙˙
ÍÍÍ −3
28 ˙˙˙
8 ˙˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
−2
5
−9
−1
˙˙˙
˙˙˙˙ − 2 ÍÍÍÍ
____ 24. Simplify: −4 ÍÍÍÍÍ
˙˙
˙˙˙
ÍÍ
ÍÍÍ
Í
ÍÍÎ −4 −7 ˙˙˙˙˚
ÍÎ 3 0 ˙˙˚
ÈÍÍ
ÍÈÍÍ
˙˘
˙˘˙˙
ÍÍÍ
ÍÍÍ −26 18 ˙˙˙˙˙
˙˙˙
−32
−22
Í
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
˙˙˙˙
˙
ÍÍÍ
˙˙˙
ÍÍÍÍ 4
˙˙˙˙
−14
−20
−14
ÍÎ
˙˚
Î
˚
c.
4
ÍÈÍÍ
ÍÍÍ 26
ÍÍÍÍ
ÍÍÍ
ÍÎ −4
˙˘˙˙
−18 ˙˙˙˙
˙˙˙
˙
14 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 32
ÍÍÍÍ
ÍÍÍ
ÍÎ 20
˙˘˙˙
22 ˙˙˙˙
˙˙˙
˙
14 ˙˙˙˚
Name: ________________________
ID: R
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
576
733
846
889
930
1035
1003
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 1136
b. 1016
c. 976
d. 1096
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 3.9x + 19.7, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the typing speed of a student with no experience
b. the average typing speed of the students
c. the improvement in typing speed per week for the average student
d. the highest typing speed recorded
____ 27. Suppose a ball is dropped from a height of 8 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 8 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 7th
bounce?
a. 3.97 meters
b. 4.23 meters
c. 2.93 meters
d. 3.83 meters
____ 28. Martha has $219. She needs $2500 to start an account. She earns $75 per day working, of which she saves
$45. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2500?
a. 2500 = 75d − 219
c. 2500 = 75d + 219
b. 2500 = 45d − 219
d. 2500 = 45d + 219
____ 29. Maria sells paintings in an art gallery. She earns $275 each week plus a commission equal to 2.5% of her
sales. This week her goal is to earn at least $635. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $15,900
b. $15,400
c. $13,400
d. $14,400
5
Name: ________________________
ID: R
____ 30. For the line graphed below, the x-intercept is unchanged and the slope is changed to –1.
How will the graph of the line change?
a. The new line will be parallel to the original line.
b. The new line will be perpendicular to the original line.
c. The new line will be the same as the original line.
d. The new line will not intersect the original line.
____ 31. Solve: x 2 − 5x + 5 = −1
ÏÔ
¸Ô
a. ÔÌ 4, 3 Ô˝
Ó
˛
ÏÔ
¸Ô
ÔÌÓ −4,− 3 Ô˝˛
b.
c.
ÏÔ
¸Ô
ÔÌÓ 3, 2 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −3,− 2 Ô˝˛
d.
–4
d.
−9m n
____ 32. Given:
8x + 2y = 10
8x + y = −11
What is the value of x?
a. –25
b.
Ê
ˆÊ
21
c.
17
c.
−9m n
ˆ
____ 33. Simplify: ÁÁÁÁ −3m 5 n 4 ˜˜˜˜ ÁÁÁÁ 3m 2 n 6 ˜˜˜˜
Ë
¯Ë
¯
a.
7 10
b.
−9m n
9 8
−9m n
10 24
8 9
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.38 to mail a 5-pound
box. How much would it cost to mail a 12-pound box?
$10.51
b. $13.67
c. $9.63
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (5m + 3) ÁÁÁÁ 5m 2 − m − 5 ˜˜˜˜
a.
b.
3
2
3
2
25m + 10m − 28m − 15
25m − 28m − 3m − 15
c.
d.
6
3
2
3
2
25m + 15m − 3m − 15
25m + 15m − 28m − 15
$12.52
Name: ________________________
ID: R
____ 36. Each year, Cathy invests $1,500 in her account. The account pays an interest rate of 5.2%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 43 years?
a. $223,000
b. $229,000
c. $240,000
d.
$250,000
____ 37. The endpoints of AC are A ÁÊË −2, 5 ˜ˆ¯ and C ÁÊË 3, 5 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
1
(− , −5)
2
b.
1
( , 5)
2
c.
1
(− , 0)
2
d.
5
( , 0)
2
x – 3y = 6
d.
–x – 3y = 4
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
–3x + y = –20
b.
–3x – y = –18
c.
7
Name: ________________________
ID: R
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 200
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˙˘
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 200
Î
Newspapers
˙˘
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˙˘
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 3 boys
and 5 girls were absent. On Tuesday, 4 boys and 5 girls were absent. On Wednesday, 2 boys and 2 girls
were absent. On Thursday, 2 boys and 5 girls were absent. On Friday, 4 boys and 4 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 2 4 2 2 4 ˙˙˙˙˙
ÍÍÍÍ 5 4 2 2 4 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 2 5 2 5 4 ˙˚
ÍÎ 3 5 2 2 4 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
3
4
2
2
4
4
2
2
4
3
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 4 5 2 5 5 ˙˙˙˙˚
ÍÎ 5 5 2 5 4 ˙˙˚
8
Name: ________________________
ID: R
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 28
24
28 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 20
24
24 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙˙˙˘
˙
May ÍÍÍÍ 112
24
28 ˙˙˙˙
May ÍÍÍÍ 7
6
7 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
24
24 ˙˚
6
6 ˙˙˙˚
June ÍÎ 80
June ÍÎ 5
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˙˙˙˘
ÍÍÍ
˙˙˙
ÍÍÍ
May ÍÍ 112
96
112 ˙˙
May ÍÍ 7
24
28 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
96
96 ˙˙˙˚
24
24 ˙˙˙˚
June ÍÍÍÎ 80
June ÍÍÍÎ 5
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
r
5 ÍÍÍÍÍ
ÍÍÍ
ÍÎ −1
a.
6
b.
–11
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
−5 ˙˙
−2
˙˙˙ − 2 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
2 ˙˚
ÍÎ 5
c. –1
˘˙˙ ÈÍÍ
˙ Í
1 ˙˙˙˙ ÍÍÍÍ −1
˙˙˙ = ÍÍÍ
˙ Í
−1 ˙˙˙˚ ÍÍÍÎ −2
˘˙˙
˙
−7 ˙˙˙˙
˙˙˙
˙
−3 ˙˙˙˚
d.
5
____ 43. The equation y = 456.66x + 2567 represents the value of a work of art from 1964 to 2005. What does the
number 2567 represent?
value of the work of art in 1964
the yearly increase in value
a.
b.
c.
d.
the yearly decrease in value
value of the work of art in 2005
____ 44. A computer is purchased for $537 and depreciates at $50 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 50 (537 − t )
c.
V = 537 − 50t
d.
a.
b.
V = 50t
V = 50t − 537
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 500 feet?
a. 11 seconds
b. 3 seconds
c. 6 seconds
d. 7 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $40 to join and then $20 per book. The
second club costs $25 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 8
b. 14
c. 2
d. 12
____ 47. A group of 5 children and 7 adults pay a total of $110 to take a karate class. A group of 5 children and 5
adults take the same karate class for $80. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $15
b. $31
c. $16
d. $1
9
Name: ________________________
ID: R
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if m is multiplied by -1 and b remains
the same?
a. the y-intercept becomes negative
b. the slope would become positive
c.
d.
the slope would become negative
the y-intercept becomes positive
____ 49. The Outboard Motor Company can produce 20 motors in 20 weeks. Assuming a direct variation, how many
motors can the company produce in 12 weeks?
7 motors
b. 22 motors
c.
a.
d.
27 motors
12 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.15) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 15%
The value of the car is decreasing by 85%
The value of the car is increasing by 15%
The value of the car is increasing by 85%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 49a 10 f 5 − 49a 7 f 6 + 28a 9 f 8 ˜˜˜˜ ?
Ë
a.
8 6
b.
7a f
9 6
7a f
¯
c.
7 5
7a f
10 8
d.
7a f
d.
2
____ 52. Simplify:
Ê
Ê
3ˆ
3
3ˆ
−2m + ÁÁÁÁ −3m − 2n ˜˜˜˜ − 3 ÁÁÁÁ 3m + 2n ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
3
3
3
3
−14m − 8n
−14m + 8n
3
c.
d.
−9m − 5m − 8n
c.
4
3
9m + 5m + 8n
3
3
____ 53. What is the length of AB ?
a.
34
b.
5
2
2
13
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = 1 x+ 2 represents 12th
2
Ê
Á
Street. What is the equation representing Avenue J if it passes through the point Ë 2,− 1 ˜ˆ¯ ?
a. y = 1 x – 2
b. y = 1 x + 3
c. y = −2x + 3
d. y = −2x – 2
2
2
10
Name: ________________________
ID: R
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $9. 00
$9. 00
$8. 00
$8. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $11. 25 $12. 25 $9. 00
$11. 75 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $12. 50 $12. 25 $14. 25 $13. 25 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 4 large pizzas and 2 medium pizzas. Which pizza shop will charge the least for the
order?
a. Romero's
b. Alfredo's
c. Sal's
d. John's Pizza
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
13
18 ˙˙˙˙
10
Team 1 ÍÍÍÍ 18
Team 1 ÍÍÍÍ 18
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
16
17 ˙˚
15
Team 2 ÍÎ 10
Team 2 ÍÎ 20
What is the total number of wins by Team 2 for these two seasons?
a. 30
b. 27
c. 31
d. 36
Ties
˘˙˙
˙
14 ˙˙˙˙
˙˙˙
˙
10 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.35
$14.01 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $7.82
$14.50 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $7.26
$15.03 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $6.78
$15.55 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $6.21
$16.07 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages increased, while college degree generally wages decreased.
b. both groups showed an overall increase in hourly wages
c. high school diploma wages decreased, while college degree generally wages increased.
d. both groups showed an overall decrease in hourly wages
11
Name: ________________________
ID: R
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
3
4
3.5
5
4.5
5.5
Visit (in
hours)
Cost of
$68
$95
$80
$108
$102
$111
$59
Visit
The equation of the line of best fit for the data is y = 16.52x + 57.13. What does the y-intercept represent?
a. flat fee
c. hourly rate
b. cost of a visit
d. length of visit
____ 59. An amusement park charges $12 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 9 times on a roller coaster. Her total payment was $66. Maria rode 10 times on a roller
coaster. What was her total payment?
a. $66
b. $72
c. $60
d. $78
____ 60. Which equation describes the function below?
x
–3
3
5
7
a.
b.
y = 4x + 55
2
y = −x + 252
c.
y
43
43
107
203
2
y = 4x + 7
d.
y = −x + 46
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $330. How many 10-dollar bills
does Carol have?
6
a.
b.
30
c.
24
d.
36
____ 62. In 2000 Jim planted a tree that was 3 3 feet tall. In 2004 the tree was 17 3 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 3 feet per year
c. 3 1 feet per year
2
1
b. 14 feet per year
d. 14 feet per year
2
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.458 (1.65) , where x is the number of years after 1985. In what year were there approximately 42
thousand cell phones?
a. 1994
b. 1986
c. 1988
d. 1990
____ 64. Given:
4x − 4y = 4
4x − 3y = 16
What is the value of y?
a. 13
b.
12
c.
12
25
d.
1
ID: R
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: C
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
C
B
D
C
C
A
D
D
D
B
C
D
A
A
A
C
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: R
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
C
D
B
C
C
A
B
C
A
C
C
D
A
C
C
B
C
C
A
C
A
B
C
B
C
A
B
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: S
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
a.
____
b.
70p
3
c.
14p
3
6p
3
d.
6p
2
102
b.
360
17
6
c.
d.
600
17
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 63x 9 y 4 − 42x 5 y7 − 35x 8 y 10 ˜˜˜˜ ?
Ë
a.
____
2
6
2. If y varies directly as x, and y = 10 when x = 60, then what is the value of x when y = 17?
a.
____
70p
84p
5 4
7x y
b.
8 7
7x y
c.
¯
9 10
7x y
d.
10 7
7x y
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045)B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 7 years was $19,284.96. What is the balance at the end of 11 years?
a. $26,244.17
b. $22,997.67
c. $20,152.78
d. $22,007.34
____
5. On a map, Luis’s house is located at ÊÁË −4, 3 ˆ˜¯ and Melvin’s house is at ÊÁË 3, 6 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(3.5, 1.5)
b. (0.5, –1.5)
c. (–0.5, 4.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1000 1098 1143 ˙˙˙˙
ÍÍÍ
˙˙˙
˙
ÍÍÍ
Hats ÍÍ 1086 1009 1004 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1106 1125 1111 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Shirts ÎÍ 1127 1179 1199 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. pants
b. belts
c. hats
d.
____
(0.5, –4.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
−5
4
7
Í
ÍÍÍ −8 4
˙
˙˙˙
X = ÍÍÍÍ
Y
=
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ 8 5
ÍÎ −2 4 −2 ˙˙˚
Î
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
−3
0
−16
3
0
16
13
−8
2
˙˙˙
ÍÍÍ
˙˙˙ c. ÍÍÍ
˙˙˙
a. ÍÍÍÍÍ
b.
˙
Í
˙
Í
˙˙
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ −10 −1
ÍÍÎ −6 −9 4 ˙˙˙˙˚
0 ˙˙˚
0 ˙˙˚
ÍÎ 10 1
1
shirts
˘˙˙
˙
−9 ˙˙˙˙
˙˙˙
˙
−2 ˙˙˙˚
d.
ÈÍÍ
ÍÍÍ
ÍÍÍÍ −13
ÍÍÍ
ÍÍÎ 6
8
9
˘˙˙
˙
−2 ˙˙˙˙
˙˙˙
˙
−4 ˙˙˙˚
Name: ________________________
____
ID: S
8. A caterer’s recipes are each designed to make 6 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 2
Eggs
5
5 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 6
4
4 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
5
2 ˙˙˙˙
Sugar (cups) ÍÍ 6
Î
˚
How much flour is needed to make 72 servings of bread and 72 servings of cake?
a. 120
b. 10
c. 11
d. 132
____
ÍÈÍÍ
˙˘˙˙
ÍÍÍ −1
0 −5 ˙˙˙˙
Í
9. Given X = ÍÍÍ
˙˙˙ and Y =
ÍÍÍ
˙
ÍÎ −8 −4 −5 ˙˙˙˚
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ 43 35
˙˙˙
Í
0
˙˙˙ b. ÍÍÍÍÍ −46
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙˙
ÍÍÎ −78
ÍÎ 18 −1 −10 ˙˙˚
ÍÈÍÍ
ÍÍÍ 8
ÍÍÍ
ÍÍÍ
ÍÍÎ 6
˙˘˙˙
6 ˙˙˙˙
˙˙˙ . What is 5Y– 6X?
˙
5 8 ˙˙˙˚
˘˙˙
ÍÈÍÍ
˙˘˙˙
˙
ÍÍÍ −43 −35
˙˙˙
35
−60 ˙˙˙˙
0
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙
ÍÍÍ
˙˙˙
−49 −70 ˙˚
1
10 ˙˙˙˚
ÍÎ −18
−7
ÍÈÍÍ
ÍÍÍ 46
ÍÍÍÍ
ÍÍÍ
ÍÎ 78
−35
49
˙˘˙˙
60 ˙˙˙˙
˙˙˙
˙
70 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
58o
20o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
59o
52o
50o
47o
43o
40o
o
o
o
o
o
Avg. Temp
16
27
32
34
36
45o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.6o
b. 1.4o
c. 0.4o
d. 1.3o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 2% has a principal of $370,000. If no more deposits or withdrawals
are made, about how much money will be in the account after seven years?
a. $423,600
b. $425,000
c. $428,800
d. $415,900
____ 12. Given:
4x − 4y = 8
4x − 3y = −2
What is the value of x – y?
a. –8
b. –10
c.
–18
d.
2
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 72 feet per second is
2
given by the formula h(t) = −16t + 72t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 152 ft
b. 8 ft
c. 296 ft
d. 80 ft
____ 14. A taxi ride cost $14.40. The driver charged $4 plus $0.40 per 0.4 mile traveled. How far did the taxi travel on
this trip?
26 miles
a.
b.
14.1 miles
c.
2
30.9 miles
d.
10.4 miles
Name: ________________________
ID: S
____ 15. The average price of a movie ticket in the year 1995 was $3.27. The average price of a movie ticket in the
year 2004 was $9.21. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2016?
a. $15.15
b. $5.25
c. $12.48
d. $17.13
____ 16. What is the value of y in the system of equations below?
7x + 5y = −1
a.
3
b.
–8
c.
7
y = − x−3
4
11
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–19
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.2. What was the approximate speed of the car if it created skid
marks 166 ft long?
a. 32 mph
b. 12 mph
c. 6 mph
d. 14 mph
____ 18. Multiply: (−3r + 15) (−2r − 12)
a. –5r2+ 6r+ 3
b. –5r2+ 3
c.
d.
6r2– 180
6r2+ 6r– 180
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 6, and the
amount of space between rows is 7, what is the approximate rate of water flow that will result in a precipitation
rate of 40?
a. 0.4
b. 2.1
c. 17.4
d. 2.8
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
2
equation that represents the highway is − x + y = 8. Which equation could represent the new runway?
3
a. 2x + 3y = 1
b. –2x + 3y = 12
c. 3x + 2y = 11
d. 3x – 2y = 18
____ 21. The midpoint of XY is point MÊÁË −5,− 4 ˆ˜¯ . If the coordinates of X are ÊÁË −3, 8 ˆ˜¯ , what are the coordinates of Y?
a.
ÊÁ −7, 2 ˆ˜
Ë
¯
b.
ÊÁ −4, − 16 ˆ˜
Ë
¯
c.
3
ÊÁ −4, 2 ˆ˜
Ë
¯
d.
ÊÁ −7, − 16 ˆ˜
Ë
¯
Name: ________________________
ID: S
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 2.1
ÍÍÍ
Í
30-month ÍÍÍÍ 2.6
Î
b.
This Week
4.2
3.4
4.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
2.1
3.4
5.4
Year Ago c.
˘˙
7 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 2.1
ÍÍÍ
Í
30-month ÍÍÍÍ 2.7
Î
Year Ago d.
˙˘
2.7 ˙˙˙˙
˙˙˙
˙
4.2 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Year Ago
˘˙
7 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
4.6
3.4
4.2
Last Week
ÍÈ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 4.2
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
Year Ago
˙˘
2.6 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
2.1
3.4
5.4
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 11 15 ˙˙˙˙
ages 2-5 ÍÍÍÍ 17 16 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 13 12 ˙˙ Matrix M: ages 6-10 ÍÍ 12 13 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 18 18 ˙˙˙˙
ages 11-15 ÍÍÍÍ 11 12 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘
ÈÍÍ
˘˙
ÍÍÍ 28
ÍÍÍ −28 31 ˙˙˙˙˙
ÍÍÍ −6 −1 ˙˙˙˙˙
ÍÍÍ 6
−31 ˙˙˙˙
1 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
25 ˙˙˙˙
1
−
1
−
1
1
a. ÍÍÍÍÍ −25 −25 ˙˙˙˙˙
b. ÍÍÍÍÍ 25
c.
d.
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −29 −30 ˙˙˙
ÍÍÍ 29
ÍÍÍ 7
ÍÍÍ −7 −6 ˙˙˙˙˙
30 ˙˙˙
6 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
Í
5
7
˙˙˙ − 5 ÍÍÍÍÍ −6
____ 24. Simplify: ÍÍÍÍÍ
˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ −3
ÍÎ −1 0 ˙˙˚
Î
ÍÈÍÍ
˙˘˙˙
ÍÍ
˙˙
a. ÍÍÍÍÍ 35 −23 ˙˙˙˙˙
b.
ÍÍÍÍ 14 20 ˙˙˙˙
Î
˚
˘˙˙
˙
6 ˙˙˙˙
˙˙˙
˙
−4 ˙˙˙˚
ÈÍÍ
ÍÍÍ
ÍÍÍ 19
ÍÍÍ
ÍÍÍ 16
Î
˙˘˙˙
−37 ˙˙˙˙
˙˙˙
˙
20 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ −19
ÍÍÍÍ
ÍÍÍ
ÍÎ −16
˙˘˙˙
37 ˙˙˙˙
˙˙˙
˙
−20 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −35
ÍÍÍÍ
ÍÍÍ
ÍÎ −14
˙˘˙˙
23 ˙˙˙˙
˙˙˙
˙
−20 ˙˙˙˚
Name: ________________________
ID: S
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
541
702
813
852
935
1026
1090
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 1115
b. 1075
c. 995
d. 875
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.1x + 16.1, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the average typing speed of the students
b. the typing speed of a student with no experience
c. the highest typing speed recorded
d. the improvement in typing speed per week for the average student
____ 27. Suppose a ball is dropped from a height of 8 meters and bounces to 85% of its previous height after each
n
bounce. Using the formula h = 8 (0.85) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 8th
bounce?
a. 2.84 meters
b. 2.18 meters
c. 1.54 meters
d. 1.8 meters
____ 28. Martha has $205. She needs $2700 to start an account. She earns $75 per day working, of which she saves
$50. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2700?
a. 2700 = 50d − 205
c. 2700 = 75d + 205
b. 2700 = 75d − 205
d. 2700 = 50d + 205
____ 29. Maria sells paintings in an art gallery. She earns $400 each week plus a commission equal to 3.25% of her
sales. This week her goal is to earn at least $664. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $7,600
b. $6,100
c. $8,600
d. $8,100
5
Name: ________________________
ID: S
____ 30. For the line graphed below, the x-intercept is changed to –4 and the slope is unchanged.
How will the graph of the line change?
a. The new line will be perpendicular to the original line.
b. The new line will intersect the original line.
c. The new line will be the same as the original line.
d. The new line will be parallel to the original line.
____ 31. Solve: x 2 + 8x + 4 = −12
ÏÔ
¸Ô
a. ÔÌ 3, 6 Ô˝
b.
Ó
˛
ÏÔ
¸Ô
ÔÌÓ −4, − 4 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ 4, 4 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −3, − 6 Ô˝˛
d.
–5
d.
3x y
____ 32. Given:
4x − y = −2
4x − 4y = −20
What is the value of x?
a. 6
b.
Ê
ˆÊ
1
c.
7
c.
3x y
ˆ
____ 33. Simplify: ÁÁÁÁ x10 y 0 ˜˜˜˜ ÁÁÁÁ 3x 10 y4 ˜˜˜˜
Ë
¯Ë
¯
a.
10 14
b.
3x y
3x
100 0
y
14 10
20 4
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.98 to mail a 6-pound
box. How much would it cost to mail a 13-pound box?
$9.99
b. $13.61
c. $12.59
a.
d.
Ê
ˆ
____ 35. Which expression is equivalent to ÊÁË 3p − 3 ˜ˆ¯ ÁÁÁÁ 4p 2 + 5p − 5 ˜˜˜˜
Ë
3
2
a.
12p − 30p − 15p + 15
b.
12p + 3p − 30p + 15
3
2
¯
3
2
3
2
c.
12p − 12p − 15p + 15
d.
12p − 12p − 30p + 15
6
$10.79
Name: ________________________
ID: S
____ 36. Each year, Cathy invests $1,200 in her account. The account pays an interest rate of 5.2%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 37 years?
a. $133,000
b. $135,000
c. $148,000
d.
$145,000
____ 37. The endpoints of AC are A ÁÊË −4, 2 ˜ˆ¯ and C ÁÊË 2, 8 ˜ˆ¯ . What are the coordinates of the midpoint?
a. (3, 3)
b. (−1, 5)
c. (1, −3)
d. (1, −5)
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
x – 2y = 19
b.
–2x – y = –5
c.
7
–x – 2y = 20
d.
–2x + y = –5
Name: ________________________
ID: S
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 250
ÍÍÍÍ
Tuesday ÍÍÍÍ 200
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˘˙
250 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
˘˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
250 ˙˙˙˙
˙˙˙
˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 250
ÍÍÍÍ
Tuesday ÍÍÍÍ 200
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˘˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 3 boys
and 4 girls were absent. On Tuesday, 5 boys and 4 girls were absent. On Wednesday, 5 boys and 5 girls
were absent. On Thursday, 5 boys and 5 girls were absent. On Friday, 2 boys and 5 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 5 5 5 5 2 ˙˙˙˙˙
ÍÍÍÍ 3 5 5 5 2 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 5 4 5 5 5 ˙˚
ÍÎ 4 4 5 5 5 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
5
5
5
2
2
5
5
5
3
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 5 5 5 4 4 ˙˙˙˙˚
ÍÎ 3 4 5 5 5 ˙˙˚
8
Name: ________________________
ID: S
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 32
16
20 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 32
16
40 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙
˙
May ÍÍÍÍ 8
4
5 ˙˙˙˙
May ÍÍÍÍ 8
16
20 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
4
10 ˙˚
16
40 ˙˙˙˚
June ÍÎ 8
June ÍÎ 8
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 128
16
20 ˙˙
May ÍÍ 128
64
80 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
16
40 ˙˙˙˚
64
160 ˙˙˙˚
June ÍÍÍÎ 128
June ÍÍÍÎ 128
____ 42. What value of m makes the equation true?
ÈÍÍ
ÍÍÍ
−1
−4 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 1
a.
2
b.
3
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
−2 ˙˙
3
˙˙˙ − 4 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
m ˙˚
ÍÎ −4
c. –1
˘˙˙ ÈÍÍ
˙ Í
−5 ˙˙˙˙ ÍÍÍÍ −5
˙˙˙ = ÍÍÍ
˙ Í
5 ˙˙˙˚ ÍÍÍÎ 4
˘˙˙
˙
8 ˙˙˙˙
˙˙˙
˙
−10 ˙˙˙˚
d.
4
____ 43. The equation y = 311.71x + 4373 represents the value of a work of art from 1964 to 2005. What does the
number 4373 represent?
value of the work of art in 2005
value of the work of art in 1964
a.
b.
c.
d.
the yearly increase in value
the yearly decrease in value
____ 44. A computer is purchased for $880 and depreciates at $55 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 55t − 880
c.
V = 55t
d.
a.
b.
V = 55 (880 − t )
V = 880 − 55t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1000 feet?
a. 8 seconds
b. 12 seconds
c. 4 seconds
d. 5 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $50 to join and then $15 per book. The
second club costs $20 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 10
b. 12
c. 6
d. 16
____ 47. A group of 4 children and 7 adults pay a total of $190 to take a karate class. A group of 2 children and 5
adults take the same karate class for $110. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $50
b. $40
c. $30
d. $10
9
Name: ________________________
ID: S
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the y-intercept becomes positive
b. the y-intercept becomes negative
c.
d.
the slope would become negative
the slope would become positive
____ 49. The Outboard Motor Company can produce 11 motors in 11 weeks. Assuming a direct variation, how many
motors can the company produce in 30 weeks?
60 motors
b. 30 motors
c.
a.
d.
55 motors
50 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.05)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 95%
The value of the car is increasing by 5%
The value of the car is decreasing by 95%
The value of the car is decreasing by 5%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 30a 8 f 2 − 12a 4 f 4 − 12a 6 f 6 ˜˜˜˜ ?
Ë
a.
4 2
b.
6a f
8 6
6a f
¯
c.
6 4
6a f
6 4
d.
6a f
d.
3
____ 52. Simplify:
Ê
4ˆ Ê
4
4ˆ
−3p + 4 ÁÁÁÁ 3p − 4q ˜˜˜˜ + ÁÁÁÁ −2p − 3q ˜˜˜˜
Ë
¯ Ë
¯
4
a.
2p − 9p + 19q
b.
7p − 19q
4
4
4
4
c.
−2p + 9p − 19q
d.
7p + 19q
c.
5
4
4
4
____ 53. What is the length of AB ?
a.
29
b.
41
5
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = − 1 x+ 8 represents 12th
4
Street. What is the equation representing Avenue J if it passes through the point ÊÁË −4,− 4 ˆ˜¯ ?
a. y = − 1 x + 12
b. y = − 1 x – 5
c. y = 4x – 5
d. y = 4x + 12
4
4
10
Name: ________________________
ID: S
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $8. 50
$6. 00
$6. 00
$9. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $11. 00 $11. 50 $9. 50
$11. 50 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14. 00 $14. 75 $14. 00 $13. 00 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 3 large pizzas and 5 medium pizzas. Which pizza shop will charge the least for the
order?
a. John's Pizza
b. Sal's
c. Romero's
d. Alfredo's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
15
12 ˙˙˙˙
18
Team 1 ÍÍÍÍ 16
Team 1 ÍÍÍÍ 19
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
17
18 ˙˚
14
Team 2 ÍÎ 16
Team 2 ÍÎ 20
What is the total number of ties by Team 2 for these two seasons?
a. 28
b. 35
c. 31
d. 36
Ties
˘˙˙
˙
16 ˙˙˙˙
˙˙˙
˙
17 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $9.43
$12.95 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $9.89
$13.41 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $10.40 $13.90 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $10.88 $14.39 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $11.39 $14.95 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages decreased, while college degree generally wages increased.
b. both groups showed an overall decrease in hourly wages
c. high school diploma wages increased, while college degree generally wages decreased.
d. both groups showed an overall increase in hourly wages
11
Name: ________________________
ID: S
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
3
2
4
3.5
4.5
5
5.5
Visit (in
hours)
Cost of
$70
$89
$91
$99
$96
$114
$67
Visit
The equation of the line of best fit for the data is y = 12.48x + 77.84. What does the value of y represent?
a. cost of a visit
c. length of visit
b. flat fee
d. hourly rate
____ 59. An amusement park charges $11 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 6 times on a roller coaster. Her total payment was $47. Maria rode 11 times on a roller
coaster. What was her total payment?
a. $53
b. $47
c. $89
d. $77
____ 60. Which equation describes the function below?
x
–3
5
4
8
a.
b.
y = 3x + 42
y = 2x + 31
c.
y
25
57
39
135
2
y = 3x − 57
d.
2
y = 2x + 7
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $385. How many 10-dollar bills
does Carol have?
7
a.
b.
42
c.
35
d.
28
____ 62. In 2000 Jim planted a tree that was 4 1 feet tall. In 2006 the tree was 43 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 39 1 feet per year
c. 6 feet per year
2
b. 39 feet per year
d. 6 1 feet per year
2
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.573 (1.56) , where x is the number of years after 1985. In what year were there approximately 49
thousand cell phones?
a. 1993
b. 1991
c. 1995
d. 1989
____ 64. Given:
5x + y = −8
7x − y = −16
What is the value of y?
a. 2
b.
0
c.
12
–4
d.
–2
ID: S
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: B
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
D
D
D
A
C
D
B
D
D
D
B
B
D
D
B
B
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: S
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
C
A
C
A
B
B
D
A
A
B
A
B
D
A
C
A
D
C
B
D
A
D
D
C
D
C
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: T
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
88p
2p
a.
____
b.
86p
2
c.
44p
2
d.
86p
1.7
87
b.
972
29
c.
162
29
3
d.
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 28x 7 y 4 + 28x 2 y7 − 7x 4 y 8 ˜˜˜˜ ?
Ë
a.
____
1.7
3
2. If y varies directly as x, and y = 18 when x = 54, then what is the value of x when y = 29?
a.
____
44p
5
4 7
7x y
b.
8 7
7x y
c.
¯
7 8
7x y
d.
2 4
7x y
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045)B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 6 years was $15,803.03. What is the balance at the end of 9 years?
a. $20,579.66
b. $17,257.30
c. $18,033.88
d. $16,514.17
____
5. On a map, Luis’s house is located at ÊÁË −3, 4 ˆ˜¯ and Melvin’s house is at ÊÁË 9, 6 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(–3, –1)
b. (6, 1)
c. (–3, –5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1070 1141 1131 ˙˙˙˙
ÍÍÍ
˙˙˙
˙
ÍÍÍ
Hats ÍÍ 1027 1100 1097 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1084 1070 1113 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Shirts ÎÍ 1110 1114 1124 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. belts
b. shirts
c. pants
d.
____
(3, 5)
hats
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
1
−7
6
8
−3
−2
Í
Í
˙
˙˙˙
˙˙˙
ÍÍÍ
X = ÍÍÍÍ
Y
=
˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÎ −3 −1 −4 ˙˙˙˙˚
4 −1 ˙˙˚
ÍÎ −3
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍ
−7
−4
8
7
4
−8
9
−10
4
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙˙ d. ÍÍÍÍÍ −9
a. ÍÍÍÍÍ
b.
c.
˙
Í
˙
Í
˙˙
ÍÍÍ
˙
ÍÍÍ
˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 0 −5 −3 ˙˙˙˙˚
ÍÍÎ −6
ÍÍÎ 6
5 3 ˙˙˙˚
3
−5 ˙˙˙˚
ÍÎ 0
1
10
−3
˘˙˙
˙
−4 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˚
Name: ________________________
____
ID: T
8. A caterer’s recipes are each designed to make 6 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 4
Eggs
5
2 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 4
3
2 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
6
2 ˙˙˙˙
Sugar (cups) ÍÍ 2
Î
˚
How much flour is needed to make 72 servings of bread and 72 servings of cake?
a. 8
b. 84
c. 96
d. 7
____
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘
ÍÍÍ 6 4 −6 ˙˙˙˙˙
ÍÍÍ −4 −2 −8 ˙˙˙˙˙
Í
˙
Í
˙˙˙ . What is 6Y+ 3X?
9. Given X = ÍÍÍ
˙˙˙ and Y = ÍÍÍ
˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
4
9 ˙˙˙˚
ÍÎ −4 7 −7 ˙˚
ÍÎ 4
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘˙˙
ÍÍÍ −6
˙˙˙
ÍÍÍ −48 −24 −30 ˙˙˙˙˙
ÍÍÍ 48
˙˙˙
0
−66
24
30
˙˙˙ d.
˙˙˙ c. ÍÍÍ
a. ÍÍÍÍ
˙˙˙˙ b. ÍÍÍÍ
˙
Í
˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
3
75 ˙˚
ÍÎ 36
ÍÎ −36 −3 −75 ˙˙˙˚
ÍÎ 12 45 33 ˙˚
ÍÈÍÍ
ÍÍÍ 6
ÍÍÍ
ÍÍÍ
ÍÍÎ −12
0
−45
˙˘˙˙
66 ˙˙˙˙
˙˙˙
˙
−33 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
57o
22o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
59o
54o
49o
46o
45o
42o
o
o
o
o
o
Avg. Temp
18
27
28
31
36
45o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 2.1o
b. 1.2o
c. 1.3o
d. 0.9o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 5% has a principal of $320,000. If no more deposits or withdrawals
are made, about how much money will be in the account after seven years?
a. $444,900
b. $450,300
c. $448,800
d. $448,000
____ 12. Given:
4x + 3y = 20
4x + 4y = 4
What is the value of x + y?
a. –16
b. 17
c.
33
d.
1
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 85 feet per second is
2
given by the formula h(t) = −16t + 85t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 21 ft
b. 191 ft
c. 106 ft
d. 276 ft
____ 14. A taxi ride cost $7.30. The driver charged $3 plus $0.10 per 0.8 mile traveled. How far did the taxi travel on
this trip?
43 miles
a.
b.
34.4 miles
c.
2
40.9 miles
d.
32.9 miles
Name: ________________________
ID: T
____ 15. The average price of a movie ticket in the year 1990 was $4.35. The average price of a movie ticket in the
year 2006 was $9.31. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2017?
a. $14.27
b. $13.66
c. $7.61
d. $12.72
____ 16. What is the value of y in the system of equations below?
3x + 5y = −14
a.
2
b.
–8
c.
3
y = − x−4
4
–6
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–10
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.4. What was the approximate speed of the car if it created skid
marks 159 ft long?
a. 31 mph
b. 14 mph
c. 17 mph
d. 44 mph
____ 18. Multiply: (−6r + 9) (3r − 15)
a. –3r2+ 117r– 6
b. –18r2+ 117r– 135
c.
d.
–18r2– 135
–3r2– 6
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 3, and the
amount of space between rows is 9, what is the approximate rate of water flow that will result in a precipitation
rate of 35?
a. 9.8
b. 8.3
c. 0.1
d. 0.9
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
equation that represents the highway is −x +
a.
–4x + 10y = –8
b.
–10x – 4y = 8
2
y = –9. Which equation could represent the new runway?
5
c. –4x – 10y = 2
d. 10x – 4y = –18
____ 21. The midpoint of XY is point MÊÁË −3, 4 ˆ˜¯ . If the coordinates of X are ÊÁË −1,− 8 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË −2,− 2 ˆ˜¯
b. ÊÁË −5, 16 ˆ˜¯
c. ÊÁË −5,− 2 ˆ˜¯
d. ÊÁË −2, 16 ˆ˜¯
3
Name: ________________________
ID: T
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 2.5
ÍÍÍ
Í
30-month ÍÍÍÍ 2.2
Î
b.
This Week
˘˙
6.6 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
3.4
3.4
4.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.2
ÍÍÍ
Í
12-month ÍÍÍÍ 2.5
ÍÍÍ
Í
30-month ÍÍÍÍ 2.9
Î
Year Ago c.
3.4
3.4
Last Week
ÈÍ
6-month ÍÍÍÍ 2.2
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
Year Ago d.
˙˘
7 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
4.6
This Week
This Week
Year Ago
˘˙
2.9 ˙˙˙˙
˙˙˙
˙
3.4 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
2.5
3.4
6.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 3.4
ÍÍÍ
Í
30-month ÍÍÍÍ 6.6
Î
Year Ago
˙˘
2.2 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
2.5
3.4
6.6
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
boys
girls
ÈÍ
˘˙
ÈÍ
ages 2-5 ÍÍÍÍ 16 17 ˙˙˙˙
ages 2-5 ÍÍÍÍ 18
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
Í
Matrix G: ages 6-10 ÍÍ 14 12 ˙˙ Matrix M: ages 6-10 ÍÍÍÍ 16
ÍÍÍ
˙˙˙
ÍÍÍ
Í
˙
Í
ages 11-15 ÍÍÍÍ 12 13 ˙˙˙˙
ages 11-15 ÍÍÍÍ 16
Î
˚
Î
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘
ÈÍÍ
ÍÍÍ 34
ÍÍÍ −2 −1 ˙˙˙˙˙
ÍÍÍ −34 35 ˙˙˙˙˙
ÍÍÍ 2
−35 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
22 ˙˙
a. ÍÍÍ −30 −22 ˙˙˙
b. ÍÍÍ −2 2 ˙˙˙
c. ÍÍÍ 30
d.
ÍÍÍ 2
˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −28 −26 ˙˙˙
ÍÍÍ −4
ÍÍÍ 28
ÍÍÍ 4
0 ˙˙˙
26 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˘˙
18 ˙˙˙˙
˙˙˙
˙
10 ˙˙˙˙
˙˙˙
˙
13 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ
____ 24. Simplify: −4 ÍÍÍÍÍ 2
ÍÍÍ
ÍÎ −5
ÍÈÍÍ
˙˘
ÍÍÍ −28 30 ˙˙˙˙˙
˙˙˙
a. ÍÍÍÍ
˙˙˙
ÍÍÍ
˙˙˚
38
−8
ÍÎ
˘˙˙
ÈÍÍ
˙
ÍÍÍ
3 ˙˙˙˙
−4
˙˙˙ − 6 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
2 ˙˚
ÍÎ 3
b.
˘˙˙
˙
7 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ 16
ÍÍÍÍ
ÍÍÍ
ÍÎ 2
˙˘˙˙
−54 ˙˙˙˙
˙˙˙
˙
−8 ˙˙˙˚
girls
c.
4
ÍÈÍÍ
ÍÍÍ −16
ÍÍÍÍ
ÍÍÍ
ÍÎ −2
˙˘˙˙
54 ˙˙˙˙
˙˙˙
˙
8 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 28
ÍÍÍ
ÍÍÍ
ÍÍÎ −38
˘˙
1 ˙˙˙˙
˙˙˙
˙
−2 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˙
˚
˙˘˙˙
−30 ˙˙˙˙
˙˙˙
˙
8 ˙˙˙˚
Name: ________________________
ID: T
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
532
740
822
868
931
947
1075
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 797
b. 717
c. 877
d. 757
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 4.8x + 19.7, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the highest typing speed recorded
b. the improvement in typing speed per week for the average student
c. the typing speed of a student with no experience
d. the average typing speed of the students
____ 27. Suppose a ball is dropped from a height of 10 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 10 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 15th
bounce?
a. 1.68 meters
b. 1.94 meters
c. 2.2 meters
d. 2.06 meters
____ 28. Martha has $225. She needs $2600 to start an account. She earns $75 per day working, of which she saves
$45. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2600?
a. 2600 = 45d + 225
c. 2600 = 75d − 225
b. 2600 = 75d + 225
d. 2600 = 45d − 225
____ 29. Maria sells paintings in an art gallery. She earns $325 each week plus a commission equal to 2.5% of her
sales. This week her goal is to earn at least $631. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $12,700
b. $11,700
c. $12,200
d. $11,200
5
Name: ________________________
ID: T
____ 30. For the line graphed below, the x-intercept is changed to –4 and the slope is unchanged.
How will the graph of the line change?
a. The new line will intersect the original line.
b. The new line will be parallel to the original line.
c. The new line will be the same as the original line.
d. The new line will be perpendicular to the original line.
____ 31. Solve: x 2 + 7x + 10 = 18
ÏÔ
¸Ô
a. ÔÌ 11, 2 Ô˝
b.
Ó
˛
ÏÔ
¸Ô
ÔÌÓ −11,− 2 Ô˝˛
c.
ÏÔ
¸Ô
ÔÌÓ −8, 1 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 8,− 1 Ô˝˛
d.
–1
d.
−3m n
____ 32. Given:
3x + 3y = −3
4x + 2y = 14
What is the value of x?
a. 17
b.
Ê
ˆÊ
8
c.
–9
c.
−3m n
ˆ
____ 33. Simplify: ÁÁÁÁ −m n 5 ˜˜˜˜ ÁÁÁÁ 3m 8 n 4 ˜˜˜˜
Ë
¯Ë
¯
a.
12 6
b.
−3m n
8 20
−3m n
6 12
9 9
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.50 to mail a 4-pound
box. How much would it cost to mail a 13-pound box?
$14.63
b. $20.83
c. $18.51
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (2k + 3) ÁÁÁÁ 3k 2 − k − 4 ˜˜˜˜
a.
b.
3
2
6k + 9k − 11k − 12
3
2
6k − 11k − 3k − 12
c.
d.
6
3
2
3
2
6k + 9k − 3k − 12
6k + 7k − 11k − 12
$13.00
Name: ________________________
ID: T
____ 36. Each year, Cathy invests $1,200 in her account. The account pays an interest rate of 4.2%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 46 years?
a. $161,000
b. $169,000
c. $176,000
d.
$167,000
____ 37. The endpoints of AC are A ÁÊË −4, 1 ˜ˆ¯ and C ÁÊË 6, 7 ˜ˆ¯ . What are the coordinates of the midpoint?
a. (5, 3)
b. (1, 4)
c. (−1, −4)
d. (−1, −3)
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
2x + y = 13
b.
x + 2y = –6
c.
7
–x + 2y = –11
d.
2x – y = –15
Name: ________________________
ID: T
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÍÍÍÍÈ 275
ÍÍÍ
ÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
Monday
b.
ÍÍÍÍÈ 250
ÍÍÍ
ÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˙˘
250 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÍÍÍÍÈ 275
ÍÍÍ
ÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
˙˘
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
ÍÍÍÍÈ 250
ÍÍÍ
ÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˙˘
250 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 3 girls were absent. On Tuesday, 3 boys and 3 girls were absent. On Wednesday, 4 boys and 4 girls
were absent. On Thursday, 4 boys and 2 girls were absent. On Friday, 5 boys and 4 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 2 3 4 4 5 ˙˙˙˙˙
ÍÍÍÍ 5 4 4 3 2 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 3 3 4 2 4 ˙˚
ÍÎ 4 2 4 3 3 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
3
4
4
5
3
3
4
4
5
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 2 3 4 4 4 ˙˙˙˙˚
ÍÎ 4 3 4 2 4 ˙˙˚
8
Name: ________________________
ID: T
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 30
45
35 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 55
45
25 ˙˙˙˚
In May and June his sales are a fifth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
ÍÍÍÈ
ÍÍÍÈ
˙˙˙˘
˙
May ÍÍÍÍ 6
45
35 ˙˙˙˙
May ÍÍÍÍ 150
225
175 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
45
25 ˙˚
225
125 ˙˙˙˚
June ÍÎ 11
June ÍÎ 275
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 150
45
35 ˙˙
May ÍÍ 6
9
7 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
45
25 ˙˙˙˚
9
5 ˙˙˙˚
June ÍÍÍÎ 275
June ÍÍÍÎ 11
____ 42. What value of x makes the equation true?
ÈÍÍ
ÍÍÍ
1
−3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ x
a.
6
b.
–1
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
−2 ˙˙
1
˙˙˙ − 2 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
4 ˙˚
ÍÎ −5
c. 2
˘˙˙ ÈÍÍ
˙ Í
3 ˙˙˙˙ ÍÍÍÍ 3
˙˙˙ = ÍÍÍ
˙ Í
−4 ˙˙˙˚ ÍÍÍÎ −8
˘˙˙
˙
−3 ˙˙˙˙
˙˙˙
˙
1 ˙˙˙˚
d.
5
____ 43. The equation y = 427.53x + 4586 represents the value of a work of art from 1964 to 2005. What does the
number 427.53 represent?
the yearly increase in value
the yearly decrease in value
a.
b.
c.
d.
value of the work of art in 2005
value of the work of art in 1964
____ 44. A computer is purchased for $708 and depreciates at $50 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 50t − 708
c.
V = 708 − 50t
d.
a.
b.
V = 50t
V = 50 (708 − t )
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 1000 feet?
a. 5 seconds
b. 13 seconds
c. 8 seconds
d. 4 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $50 to join and then $5 per book. The
second club costs $30 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 6
b. 4
c. 2
d. 8
____ 47. A group of 4 children and 4 adults pay a total of $140 to take a karate class. A group of 4 children and 3
adults take the same karate class for $110. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $65
b. $30
c. $35
d. $5
9
Name: ________________________
ID: T
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if m is multiplied by -1 and b remains
the same?
a. the slope would become positive
b. the slope would become negative
c.
d.
the y-intercept becomes positive
the y-intercept becomes negative
____ 49. The Outboard Motor Company can produce 11 motors in 11 weeks. Assuming a direct variation, how many
motors can the company produce in 40 weeks?
35 motors
b. 70 motors
c.
a.
d.
45 motors
40 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 + 0.15)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 85%
The value of the car is increasing by 85%
The value of the car is decreasing by 15%
The value of the car is increasing by 15%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 27a 6 f 3 − 21a 2 f 4 + 3a 4 f 6 ˜˜˜˜ ?
Ë
a.
4 4
b.
3a f
6 6
3a f
¯
c.
2 3
d.
3a f
6 4
3a f
____ 52. Simplify:
Ê
Ê
2ˆ
2
2ˆ
3p + 4 ÁÁÁÁ −5p − q ˜˜˜˜ − 3 ÁÁÁÁ −3p − q ˜˜˜˜
Ë
¯
Ë
¯
2
a.
−9p + 17p + q
b.
9p − 17p − q
2
2
2
c.
−8p − q
2
2
d.
−8p + q
2
2
c.
2
____ 53. What is the length of AB ?
a.
5
2
b.
2
10
17
d.
58
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = −2x– 20 represents 12th
Street. What is the equation representing Avenue J if it passes through the point ÊÁË −4,− 4 ˆ˜¯ ?
a. y = −2x – 12
b. y = −2x – 2
c. y = 1 x – 12
d. y = 1 x – 2
2
2
10
Name: ________________________
ID: T
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $7. 50
$8. 50
$8. 50
$6. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $9. 00
$12. 25 $10. 50 $12. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $12. 50 $14. 75 $13. 75 $12. 75 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 6 large pizzas and 2 medium pizzas. Which pizza shop will charge the least for the
order?
a. Alfredo's
b. Romero's
c. John's Pizza
d. Sal's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
19
19 ˙˙˙˙
17
Team 1 ÍÍÍÍ 20
Team 1 ÍÍÍÍ 16
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
19
11 ˙˚
19
Team 2 ÍÎ 19
Team 2 ÍÎ 14
What is the total number of ties by Team 2 for these two seasons?
a. 31
b. 33
c. 38
d. 25
Ties
˘˙˙
˙
12 ˙˙˙˙
˙˙˙
˙
14 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $9.96
$13.07 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $10.48 $12.54 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $10.97 $11.98 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $11.48 $11.43 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $11.99 $10.90 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall decrease in hourly wages
b. both groups showed an overall increase in hourly wages
c. high school diploma wages increased, while college degree generally wages decreased.
d. high school diploma wages decreased, while college degree generally wages increased.
11
Name: ________________________
ID: T
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
2.5
3.5
3
4.5
5
5.5
Visit (in
hours)
Cost of
$73
$93
$83
$98
$106
$117
$70
Visit
The equation of the line of best fit for the data is y = 12.88x + 69.34. What does the value of x represent?
a. hourly rate
c. flat fee
b. length of visit
d. cost of a visit
____ 59. An amusement park charges $20 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 8 times on a roller coaster. Her total payment was $60. Maria rode 15 times on a roller
coaster. What was her total payment?
a. $60
b. $50
c. $85
d. $95
____ 60. Which equation describes the function below?
x
–1
6
3
8
a.
b.
y = x + 72
2
y = x + 70
c.
y
8
78
24
134
y = 2x + 10
d.
2
y = 2x + 6
____ 61. Carol has three times as many 10-dollar bills as 5-dollar bills. She has a total of $210. How many 10-dollar
bills does Carol have?
24
b.
a.
12
c.
18
d.
6
____ 62. In 2000 Jim planted a tree that was 4 1 feet tall. In 2004 the tree was 30 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 6 1 feet per year
c. 26 feet per year
2
b. 6 feet per year
d. 26 1 feet per year
2
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.587 (1.65) , where x is the number of years after 1985. In what year were there approximately 32
thousand cell phones?
a. 1995
b. 1989
c. 1993
d. 1987
____ 64. Given:
4x + 3y = −10
4x − y = −2
What is the value of y?
a. –1
b.
–3
c.
12
1
d.
–2
ID: T
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: D
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
B
D
D
B
B
B
D
A
C
B
C
B
D
A
D
B
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: T
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
B
A
A
D
A
A
B
C
C
C
B
D
D
C
B
D
D
D
D
C
B
D
D
C
A
C
D
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: U
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
40p
8p
a.
____
b.
32p
2.8
c.
32p
7
d.
5p
7
b.
600
23
10
360
23
c.
d.
230
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 24m 7 n 5 + 48m 4 n 7 + 12m 5 n 9 ˜˜˜˜ ?
Ë
a.
____
2.8
4
2. If y varies directly as x, and y = 6 when x = 60, then what is the value of x when y = 23?
a.
____
5p
11
5 7
12m n
b.
7 9
c.
12m n
¯
4 5
12m n
d.
9 7
12m n
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.015) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 10 years was $15,676.45. What is the balance at the end of 14 years?
a. $15,911.60
b. $16,638.41
c. $18,193.16
d. $16,392.52
____
5. On a map, Luis’s house is located at ÊÁË −4, 3 ˜ˆ¯ and Melvin’s house is at ÊÁË 2, 4 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(3, 0.5)
b. (1, –0.5)
c. (1, –3.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1005 1079 1149 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1090 1016 1039 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1058 1068 1130 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1149 1177 1138 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. pants
b. belts
c. hats
d.
____
(–1, 3.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ 1
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 3
ÈÍÍ
˙˘˙˙
ÍÍÍ
−9 ˙˙˙˙
8
7
˙˙˙
Y = ÍÍÍÍÍ
ÍÍÍ
˙˙˙
8
5 ˙˚
ÍÎ 8 −4
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍÍ 9 9 −9 ˙˙˙˙˙
7
5
9
−7
−5
−9
Í
˙
Í
˙˙˙
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
a. ÍÍÍÍ
b.
c.
˙˙˙
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 11 4
ÍÍÎ −5 12
2 ˙˙˚
8 ˙˙˙˚
ÍÎ 5 −12 −8 ˙˙˚
2
1
shirts
˙˘˙˙
0 ˙˙˙˙
˙˙˙
˙
−3 ˙˙˙˚
d.
ÈÍÍ
ÍÍÍ
ÍÍÍ −9
ÍÍÍ
ÍÍ −11
ÍÎ
−9
−4
˘˙˙
˙
9 ˙˙˙˙
˙˙˙
˙
−2 ˙˙˙˚
Name: ________________________
____
ID: U
8. A caterer’s recipes are each designed to make 5 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 1
Eggs
3
5 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 6
6
3 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
5
3 ˙˙˙˙
Sugar (cups) ÍÍ 6
Î
˚
How much flour is needed to make 55 servings of bread and 55 servings of cake?
a. 12
b. 121
c. 132
d. 11
____
ÍÈÍÍ
˙˘˙˙
ÍÍÍ −3 −5
9 ˙˙˙˙
Í
9. Given X = ÍÍÍ
˙˙˙ and Y =
ÍÍÍ
˙
0 −7 ˙˙˙˚
ÍÎ 2
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ 3 −3 −9 ˙˙˙˙˙
ÍÍ
a. ÍÍÍÍ
˙˙˙˙
b. ÍÍÍÍÍ −27
ÍÍÍ
˙
ÍÍÍ
3 ˙˙˙˚
ÍÎ 34
ÍÎ 14 −8
ÍÈÍÍ
ÍÍÍ 3
ÍÍÍ
ÍÍÍ
ÍÍÎ −6
˙˘˙˙
−9 ˙˙˙˙
˙˙˙ . What is –4Y– 5X?
˙
2
8 ˙˙˙˚
˘˙˙
ÍÈÍÍ
˙˘˙˙
˙
ÍÍÍ 27
˙˙˙
−53 81 ˙˙˙˙
53
−81
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙
ÍÍÍ
˙˙˙
−8
−67 ˙˚
8
67 ˙˙˙˚
ÍÎ −34
7
ÍÈÍÍ
ÍÍÍ −3
ÍÍÍ
ÍÍÍ
ÍÍÎ −14
3
8
˙˘˙˙
9 ˙˙˙˙
˙˙˙
˙
−3 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
58o
20o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
57o
54o
50o
49o
44o
42o
o
o
o
o
o
Avg. Temp
20
24
31
31
33
46o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.4o
b. 1.6o
c. 0.4o
d. 0.7o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 3% has a principal of $220,000. If no more deposits or withdrawals
are made, about how much money will be in the account after five years?
a. $256,200
b. $255,000
c. $254,700
d. $258,800
____ 12. Given:
6x − y = 4
6x + y = −16
What is the value of x + y?
a. –1
b. –10
c.
–11
d.
9
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 89 feet per second is
2
given by the formula h(t) = −16t + 89t , where t is the time in seconds. What is the height of the object after 3
seconds?
a. 212 ft
b. 390 ft
c. 301 ft
d. 123 ft
____ 14. A taxi ride cost $16.50. The driver charged $3 plus $0.50 per 0.2 mile traveled. How far did the taxi travel on
this trip?
5.4 miles
a.
b.
27 miles
c.
2
22.3 miles
d.
3.5 miles
Name: ________________________
ID: U
____ 15. The average price of a movie ticket in the year 1994 was $5.97. The average price of a movie ticket in the
year 2002 was $10.69. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2018?
a. $16.66
b. $15.41
c. $20.13
d. $5.97
____ 16. What is the value of y in the system of equations below?
3x + 5y = 19
a.
–52
b.
–87
c.
3
y = − x−4
4
–17
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
35
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.8. What was the approximate speed of the car if it created skid
marks 166 ft long?
a. 50 mph
b. 56 mph
c. 63 mph
d. 14 mph
____ 18. Multiply: (6x + 9) (3x + 6)
a. 18x2+ 54
b. 9x2+ 15
c.
d.
9x2+ 63x+ 15
18x2+ 63x+ 54
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 6, and the
amount of space between rows is 5, what is the approximate rate of water flow that will result in a precipitation
rate of 35?
a. 3.3
b. 10.9
c. 2.3
d. 0.4
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
5
equation that represents the highway is − x − 2y = 2. Which equation could represent the new runway?
2
a. –5x + 4y = –9
b. 4x + 5y = 18
c. 5x + 4y = –17
d. 4x – 5y = –6
____ 21. The midpoint of XY is point MÊÁË 5, 4 ˆ˜¯ . If the coordinates of X are ÊÁË −9,− 8 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË −2, 16 ˆ˜¯
b. ÊÁË −2,− 2 ˆ˜¯
c. ÊÁË 19,− 2 ˆ˜¯
d. ÊÁË 19, 16 ˆ˜¯
3
Name: ________________________
ID: U
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.5
ÍÍÍ
Í
12-month ÍÍÍÍ 2.5
ÍÍÍ
Í
30-month ÍÍÍÍ 2.4
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.4
ÍÍÍ
Í
12-month ÍÍÍÍ 2.5
ÍÍÍ
Í
30-month ÍÍÍÍ 2.5
Î
Last Week
5
5
4.6
Last Week
4.6
5
5
Year Ago c.
˘˙
5.4 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.5
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 5.4
Î
Year Ago d.
˙˘
5.4 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.4 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
2.5
5
6.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.4
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 5.4
Î
Year Ago
˙˘
2.5 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
2.5
5
6.6
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 10 15 ˙˙˙˙
ages 2-5 ÍÍÍÍ 11 17 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 17 14 ˙˙ Matrix M: ages 6-10 ÍÍ 16 10 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 12 12 ˙˙˙˙
ages 11-15 ÍÍÍÍ 13 10 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘
ÈÍÍ
˘˙
ÍÍÍ 21
ÍÍÍ −1 −2 ˙˙˙˙˙
ÍÍÍ −21 32 ˙˙˙˙˙
ÍÍÍ 1
−32 ˙˙˙˙
2 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4 ˙˙˙˙
33
24
−1
−4
a. ÍÍÍÍÍ −33 −24 ˙˙˙˙˙
b. ÍÍÍÍÍ 1
c.
d.
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −25 −22 ˙˙˙
ÍÍÍ −1
ÍÍÍ 25
ÍÍÍ 1 −2 ˙˙˙˙˙
2 ˙˙˙
22 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
−5
3
8
5
˙˙˙
˙˙˙˙ + 3 ÍÍÍÍ
____ 24. Simplify: −1 ÍÍÍÍÍ
˙˙
˙˙˙
ÍÍ
ÍÍÍ
Í
ÍÍÎ 5 −9 ˙˙˙˙˚
ÍÎ −3 9 ˙˙˚
ÈÍÍ
ÍÈÍÍ
˙˘
˙˘˙˙
ÍÍÍ
ÍÍÍ −29 −12 ˙˙˙˙˙
˙˙˙
7
18
Í
˙˙˙
a. ÍÍÍÍ
b. ÍÍÍÍ
˙˙˙˙
˙
ÍÍÍ
˙˙˙
ÍÍÍÍ −18 36 ˙˙˙˙
12
−18
ÍÎ
˙˚
Î
˚
c.
4
ÍÈÍÍ
ÍÍÍ −7
ÍÍÍ
ÍÍÍ
ÍÍÎ −12
˙˘˙˙
−18 ˙˙˙˙
˙˙˙
˙
18 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 29
ÍÍÍÍ
ÍÍÍ
ÍÎ 18
˙˘˙˙
12 ˙˙˙˙
˙˙˙
˙
−36 ˙˙˙˚
Name: ________________________
ID: U
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
555
653
831
885
921
983
1013
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 788
b. 708
c. 628
d. 588
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 6x + 16.1, where x is the number of weeks of experience of a student and y
is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the average typing speed of the students
b. the improvement in typing speed per week for the average student
c. the typing speed of a student with no experience
d. the highest typing speed recorded
____ 27. Suppose a ball is dropped from a height of 10 meters and bounces to 80% of its previous height after each
n
bounce. Using the formula h = 10 (0.8) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 7th
bounce?
a. 1.72 meters
b. 2.1 meters
c. 2.5 meters
d. 2.76 meters
____ 28. Martha has $245. She needs $2800 to start an account. She earns $55 per day working, of which she saves
$45. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2800?
a. 2800 = 55d − 245
c. 2800 = 55d + 245
b. 2800 = 45d + 245
d. 2800 = 45d − 245
____ 29. Maria sells paintings in an art gallery. She earns $375 each week plus a commission equal to 3.25% of her
sales. This week her goal is to earn at least $582. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $6,400
b. $7,900
c. $8,400
d. $5,900
5
Name: ________________________
ID: U
____ 30. For the line graphed below, the x-intercept is changed to –4 and the slope is unchanged.
How will the graph of the line change?
a. The new line will intersect the original line.
b. The new line will be the same as the original line.
c. The new line will be parallel to the original line.
d. The new line will be perpendicular to the original line.
____ 31. Solve: x 2 − 7x − 9 = −19
ÏÔ
¸Ô
a. ÔÌ 3, 2 Ô˝
b.
Ó
ÏÔ
¸Ô
ÔÌÓ −2,− 5 Ô˝˛
˛
c.
ÏÔ
¸Ô
ÔÌÓ −3,− 2 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ 2, 5 Ô˝˛
d.
14
d.
6m n
____ 32. Given:
7x − 5y = −10
5x − 3y = −2
What is the value of x?
a. –4
b.
Ê
ˆÊ
5
c.
9
c.
6m n
ˆ
____ 33. Simplify: ÁÁÁÁ 3m 6 n 7 ˜˜˜˜ ÁÁÁÁ 2m 8 n 7 ˜˜˜˜
Ë
¯Ë
¯
a.
14 14
b.
6m n
15 13
6m n
13 15
48 49
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.14 to mail a 5-pound
box. How much would it cost to mail a 14-pound box?
$14.24
b. $10.46
c. $11.59
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (3k + 5) ÁÁÁÁ 4k 2 − 4k − 4 ˜˜˜˜
a.
b.
3
2
12k + 20k − 20k − 20
3
2
12k + 8k − 32k − 20
c.
d.
6
3
2
3
2
12k + 20k − 32k − 20
12k − 32k − 20k − 20
$15.79
Name: ________________________
ID: U
____ 36. Each year, Cathy invests $1,200 in her account. The account pays an interest rate of 6.3%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 44 years?
a. $295,000
b. $271,000
c. $286,000
d.
$279,000
____ 37. The endpoints of AC are A ÁÊË −8, 2 ˜ˆ¯ and C ÁÊË 4, 7 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
(−2,
9
)
2
b.
5
(2, − )
2
c.
9
(2, − )
2
5
)
2
d.
(6,
d.
–2x – y = 6
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
–2x + y = 2
b.
x – 2y = –16
c.
7
–x – 2y = 18
Name: ________________________
ID: U
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˙˘
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Newspapers
˙˘
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Monday
d.
˙˘
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Monday
˙˘
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 5 boys
and 3 girls were absent. On Tuesday, 3 boys and 5 girls were absent. On Wednesday, 4 boys and 2 girls
were absent. On Thursday, 3 boys and 4 girls were absent. On Friday, 2 boys and 2 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 3 3 4 3 2 ˙˙˙˙˙
ÍÍÍÍ 4 3 4 3 2 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 5 5 2 2 2 ˙˚
ÍÎ 2 5 2 4 2 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
2
3
4
3
5
5
3
4
3
2
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 3 5 2 4 2 ˙˙˙˙˚
ÍÎ 2 4 2 5 3 ˙˙˚
8
Name: ________________________
ID: U
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 36
28
20 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 44
44
24 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
ÍÈÍÍ
˙˙˙˘
ÍÈÍÍ
˙
May ÍÍÍÍ 144
28
20 ˙˙˙˙
May ÍÍÍÍ 144
112
80 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
44
24 ˙˚
176
96 ˙˙˙˚
June ÍÎ 176
June ÍÎ 176
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 9
28
20 ˙˙
May ÍÍ 9
7
5 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
44
24 ˙˙˙˚
11
6 ˙˙˙˚
June ÍÍÍÎ 11
June ÍÍÍÎ 11
____ 42. What value of m makes the equation true?
ÈÍÍ
ÍÍÍ
m
−3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 3
a.
–8
b.
–5
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
1 ˙˙
4
˙˙˙ − 5 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−5 ˙˚
ÍÎ 2
c. 2
˘˙˙ ÈÍÍ
˙ Í
3 ˙˙˙˙ ÍÍÍÍ −5
˙˙˙ = ÍÍÍ
˙ Í
−5 ˙˙˙˚ ÍÍÍÎ 10
˘˙˙
˙
−8 ˙˙˙˙
˙˙˙
˙
1 ˙˙˙˚
d.
–6
____ 43. The equation y = 377.18x + 2838 represents the value of a work of art from 1964 to 2005. What does the
number 2838 represent?
value of the work of art in 1964
the yearly decrease in value
a.
b.
c.
d.
value of the work of art in 2005
the yearly increase in value
____ 44. A computer is purchased for $732 and depreciates at $40 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 40 (732 − t )
c.
V = 40t − 732
d.
a.
b.
V = 732 − 40t
V = 40t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 700 feet?
a. 10 seconds
b. 2 seconds
c. 7 seconds
d. 11 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $50 to join and then $5 per book. The
second club costs $10 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 8
b. 16
c. 12
d. 10
____ 47. A group of 5 children and 5 adults pay a total of $190 to take a karate class. A group of 2 children and 4
adults take the same karate class for $90. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $31
b. $7
c. $45
d. $38
9
Name: ________________________
ID: U
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if m is multiplied by -1 and b remains
the same?
a. the slope would become negative
b. the y-intercept becomes positive
c.
d.
the slope would become positive
the y-intercept becomes negative
____ 49. The Outboard Motor Company can produce 14 motors in 12 weeks. Assuming a direct variation, how many
motors can the company produce in 36 weeks?
42 motors
b. 67 motors
c.
a.
d.
57 motors
62 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 + 0.1) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 10%
The value of the car is increasing by 10%
The value of the car is decreasing by 90%
The value of the car is increasing by 90%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 20a 10 f 3 − 20a 5 f 6 + 16a 7 f 7 ˜˜˜˜ ?
Ë
a.
10 7
b.
4a f
5 3
4a f
¯
c.
7 6
d.
4a f
7 6
4a f
____ 52. Simplify:
Ê
4ˆ Ê
4
4ˆ
p + 2 ÁÁÁÁ −5p − q ˜˜˜˜ + ÁÁÁÁ −2p − q ˜˜˜˜
Ë
¯ Ë
¯
4
a.
−2p − 9p − 3q
b.
−11p + 3q
4
4
4
4
4
c.
−11p − 3q
d.
2p + 9p + 3q
c.
4
4
4
____ 53. What is the length of AB ?
a.
2
5
b.
10
d.
26
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = 5x+ 17 represents 12th
Street. What is the equation representing Avenue J if it passes through the point ÊÁË −5,− 3 ˆ˜¯ ?
a. y = 5x – 4
b. y = − 1 x + 22
c. y = − 1 x – 4
d. y = 5x + 22
5
5
10
Name: ________________________
ID: U
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $7. 50
$7. 50
$6. 00
$6. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $12. 25 $11. 00 $10. 00 $9. 25 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14. 25 $13. 75 $12. 00 $14. 25 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 4 large pizzas and 2 medium pizzas. Which pizza shop will charge the least for the
order?
a. Alfredo's
b. Romero's
c. John's Pizza
d. Sal's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
15
10 ˙˙˙˙
16
Team 1 ÍÍÍÍ 15
Team 1 ÍÍÍÍ 16
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
10
11 ˙˚
13
Team 2 ÍÎ 18
Team 2 ÍÎ 18
What is the total number of wins by Team 2 for these two seasons?
a. 31
b. 23
c. 36
d. 26
Ties
˘˙˙
˙
15 ˙˙˙˙
˙˙˙
˙
15 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.63
$12.01 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $9.19
$11.56 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $9.65
$11.11 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $10.16 $10.64 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $10.73 $10.12 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall increase in hourly wages
b. high school diploma wages increased, while college degree generally wages decreased.
c. high school diploma wages decreased, while college degree generally wages increased.
d. both groups showed an overall decrease in hourly wages
11
Name: ________________________
ID: U
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
2.5
3.5
3
4.5
4
5
Visit (in
hours)
Cost of
$58
$93
$86
$93
$108
$119
$62
Visit
The equation of the line of best fit for the data is y = 18.79x + 60.25. What does the value of x represent?
a. flat fee
c. cost of a visit
b. hourly rate
d. length of visit
____ 59. An amusement park charges $10 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 10 times on a roller coaster. Her total payment was $40. Maria rode 15 times on a roller
coaster. What was her total payment?
a. $49
b. $34
c. $55
d. $40
____ 60. Which equation describes the function below?
x
–3
5
6
4
a.
2
y = −x + 37
b.
y = −x + 35
c.
y
14
30
41
21
2
y = x +5
d.
y = x + 17
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $220. How many 10-dollar bills
does Carol have?
20
a.
b.
4
c.
24
d.
16
____ 62. In 2000 Jim planted a tree that was 3 3 feet tall. In 2003 the tree was 19 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 16 3 feet per year
c. 16 1 feet per year
4
4
3
1
b. 5 feet per year
d. 5 feet per year
4
4
2
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.429 (1.59) , where x is the number of years after 1985. In what year were there approximately 4 thousand
cell phones?
a. 1992
b. 1990
c. 1994
d. 1988
____ 64. Given:
5x − 4y = −2
8x − 5y = 15
What is the value of y?
a. 10
b.
–3
c.
12
13
d.
23
ID: U
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: C
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
D
D
D
D
B
C
B
B
A
C
D
B
A
C
B
D
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: U
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
A
B
A
D
D
B
A
C
C
D
D
A
A
B
B
A
A
C
B
C
B
D
C
C
A
D
B
C
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: V
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
32n
4n
a.
____
28n
c.
8n
6
d.
28n
2
56
17
b.
34
7
c.
238
d.
289
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 36x 9 y 4 − 24x 5 y6 − 6x 7 y 7 ˜˜˜˜ ?
Ë
a.
____
b.
6
2. If y varies directly as x, and y = 4 when x = 34, then what is the value of x when y = 28?
a.
____
8n
2
12
6
9 7
6x y
b.
7 6
c.
6x y
¯
7 6
d.
6x y
5 4
6x y
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.015) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 10 years was $17,893.69. What is the balance at the end of 13 years?
a. $18,711.04
b. $18,434.53
c. $20,766.36
d. $18,162.10
____
5. On a map, Luis’s house is located at ÁÊË −2, 4 ˜ˆ¯ and Melvin’s house is at ÁÊË 9, 7 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
a. (3.5, 5.5)
b. (–3.5, –1.5)
c. (5.5, 1.5)
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1053 1137 1133 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1068 1059 1087 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1093 1119 1054 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1141 1154 1195 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. pants
b. belts
c. hats
d.
____
(–3.5, –5.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ 6
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 7
−9
−2
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘˙˙
ÍÍÍ 4 −7 −4 ˙˙˙˙˙
ÍÍÍ −8
˙˙˙
11
−10
˙˙˙
ÍÍÍ
˙˙˙ c.
a. ÍÍÍÍ
b.
˙˙˙
ÍÍÍ
˙˙
ÍÍÍ
˙
Í
5 −4 ˙˚
9
−4 ˙˙˙˚
ÍÎ 3
ÍÎ −11
1
˙˘˙˙
3 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ 8
ÍÍÍ
ÍÍÍ
ÍÍÎ 11
ÍÈÍÍ
ÍÍ 2
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 4
−11
−9
−2
−7
˙˘˙˙
10 ˙˙˙˙
˙˙˙
˙
4 ˙˙˙˚
shirts
˙˘˙˙
7 ˙˙˙˙
˙˙˙
˙
4 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −4
ÍÍÍÍ
ÍÍÍ
ÍÎ −3
7
−5
˙˘˙˙
4 ˙˙˙˙
˙˙˙
˙
4 ˙˙˙˚
Name: ________________________
____
ID: V
8. A caterer’s recipes are each designed to make 4 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 2
Eggs
3
3 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 4
4
3 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1
4 ˙˙˙˙
Sugar (cups) ÍÍ 1
Î
˚
How much flour is needed to make 48 servings of bread and 48 servings of cake?
a. 2
b. 24
c. 8
d. 96
____
ÍÈÍÍ
˙˘
ÍÍÍ 3 −5 −7 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
ÍÎ −9 −4 −1 ˙˙˙˚
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
ÍÍÍ 12
Í
˙˙˙
−45
−58
˙˙˙ b. ÍÍÍÍÍ −15
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙˙
ÍÍÎ −4
ÍÎ −76 −11 −34 ˙˙˚
ÍÈÍÍ
ÍÍÍ 0
ÍÍÍ
ÍÍÍ
ÍÍÎ −8
−5
21
˙˘˙˙
−6 ˙˙˙˙
˙˙˙ . What is –5Y– 4X?
˙
1 −6 ˙˙˙˚
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ −12 45 58 ˙˙˙˙˙
−2 ˙˙˙˙
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙
˙˙˙
ÍÍÍ
−26 ˙˚
11 34 ˙˙˙˚
ÍÎ 76
−5
ÍÈÍÍ
ÍÍÍ 15
ÍÍÍÍ
ÍÍÍ
ÍÎ 4
5
−21
˙˘˙˙
2 ˙˙˙˙
˙˙˙
˙
26 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
54o
21o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
56o
52o
50o
49o
45o
43o
o
o
o
o
o
Avg. Temp
16
25
29
32
34
45o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 2o
b. 1o
c. 1.3o
d. 2.5o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 2% has a principal of $370,000. If no more deposits or withdrawals
are made, about how much money will be in the account after five years?
a. $407,900
b. $398,500
c. $404,800
d. $408,500
____ 12. Given:
3x − 3y = −15
3x − 2y = 10
What is the value of x + y?
a. 20
b. –5
c.
25
d.
45
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 82 feet per second is
2
given by the formula h(t) = −16t + 82t , where t is the time in seconds. What is the height of the object after 3
seconds?
a. 266 ft
b. 348 ft
c. 184 ft
d. 102 ft
____ 14. A taxi ride cost $9.40. The driver charged $3 plus $0.20 per 0.4 mile traveled. How far did the taxi travel on
this trip?
36.7 miles
a.
b.
32 miles
c.
2
12.8 miles
d.
12.5 miles
Name: ________________________
ID: V
____ 15. The average price of a movie ticket in the year 1999 was $3.00. The average price of a movie ticket in the
year 2005 was $3.60. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2015?
a. $3.10
b. $4.20
c. $6.60
d. $4.6
____ 16. What is the value of y in the system of equations below?
7x + 2y = −15
a.
10
b.
–15
c.
7
y = − x+3
5
–5
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
5
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.2. What was the approximate speed of the car if it created skid
marks 166 ft long?
a. 14 mph
b. 21 mph
c. 6 mph
d. 32 mph
____ 18. Multiply: (−5m − 6) (−3m − 15)
a. 15m2+ 90
b. –8m2+ 93m– 21
c.
d.
15m2+ 93m+ 90
–8m2– 21
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 5, and the
amount of space between rows is 8, what is the approximate rate of water flow that will result in a precipitation
rate of 30?
a. 12.5
b. 5.1
c. 2.0
d. 0.2
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
1
equation that represents the highway is − x − y = 5. Which equation could represent the new runway?
4
a. –8x + 2y = –18
b. 2x – 8y = –20
c. –8x – 2y = –12
d. –2x – 8y = 5
____ 21. The midpoint of XY is point MÊÁË 4, 6 ˆ˜¯ . If the coordinates of X are ÊÁË −6,− 4 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË 14, 1 ˆ˜¯
b. ÊÁË 14, 16 ˆ˜¯
c. ÊÁË −1, 1 ˆ˜¯
d. ÊÁË −1, 16 ˆ˜¯
3
Name: ________________________
ID: V
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.2
ÍÍÍ
Í
12-month ÍÍÍÍ 3.4
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 5.8
Î
Last Week
2.9
5
7
Last Week
2.9
5
7
Year Ago c.
˘˙
2.7 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.2
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.7
Î
Year Ago d.
˙˘
2.2 ˙˙˙˙
˙˙˙
˙
3.4 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Year Ago
˘˙
7 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
3.4
5
4.6
Last Week
ÍÈ
6-month ÍÍÍÍ 2.7
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.2
Î
Year Ago
˙˘
5.8 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
4.6
5
3.4
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 15 15 ˙˙˙˙
ages 2-5 ÍÍÍÍ 13 13 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 16 10 ˙˙ Matrix M: ages 6-10 ÍÍ 10 15 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 17 11 ˙˙˙˙
ages 11-15 ÍÍÍÍ 14 17 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘
ÍÍÍ 28
ÍÍÍ −28 28 ˙˙˙˙˙
ÍÍÍ 2
ÍÍÍ −2 −2 ˙˙˙˙˙
−28 ˙˙˙˙
2 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
25 ˙˙˙˙
6
−5
−6
5
a. ÍÍÍÍÍ −26 −25 ˙˙˙˙˙
b. ÍÍÍÍÍ 26
c.
d.
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ −31 −28 ˙˙˙
ÍÍÍ 31
ÍÍÍ 3 −6 ˙˙˙
ÍÍÍ −3
28 ˙˙˙
6 ˙˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
ÍÍÍ
____ 24. Simplify: −6 ÍÍÍÍÍ −9
ÍÍÍ
ÍÎ −6
˘˙˙
ÍÈÍÍ
˙˙˙
ÍÍÍ −6
6
˙˙˙
a. ÍÍÍÍ
˙˙˙
ÍÍÍ
˙
ÍÎ −42 0 ˙˙˚
˘˙˙
ÈÍÍ
˘˙˙
˙
ÍÍÍ
˙˙˙
−2 ˙˙˙˙
8
3
˙˙˙
˙˙˙ − 6 ÍÍÍÍÍ
˙˙˙
˙˙˙
ÍÍÍ
˙
−1 ˙˚
ÍÎ −1 1 ˙˙˚
ÍÈÍÍ
ÍÍ
b. ÍÍÍÍÍ −102
ÍÍÍ
ÍÎ −30
˙˘˙˙
−30 ˙˙˙˙
˙˙˙
˙
−12 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ 6
ÍÍÍ
ÍÍÍ
ÍÍÎ 42
˙˘˙˙
−6 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 102
ÍÍÍÍ
ÍÍÍ
ÍÎ 30
˙˘˙˙
30 ˙˙˙˙
˙˙˙
˙
12 ˙˙˙˚
Name: ________________________
ID: V
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
558
645
812
876
919
1055
1041
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 702
b. 742
c. 622
d. 902
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 4.2x + 16.4, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the highest typing speed recorded
b. the typing speed of a student with no experience
c. the improvement in typing speed per week for the average student
d. the average typing speed of the students
____ 27. Suppose a ball is dropped from a height of 8 meters and bounces to 75% of its previous height after each
n
bounce. Using the formula h = 8 (0.75) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 4th
bounce?
a. 2.15 meters
b. 2.41 meters
c. 2.53 meters
d. 3.19 meters
____ 28. Martha has $203. She needs $3000 to start an account. She earns $50 per day working, of which she saves
$35. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$3000?
a. 3000 = 50d + 203
c. 3000 = 35d + 203
b. 3000 = 35d − 203
d. 3000 = 50d − 203
____ 29. Maria sells paintings in an art gallery. She earns $375 each week plus a commission equal to 4% of her
sales. This week her goal is to earn at least $501. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $3,200
b. $1,700
c. $1,200
d. $5,200
5
Name: ________________________
ID: V
____ 30. For the line graphed below, the x-intercept is changed to –3 and the slope is unchanged.
How will the graph of the line change?
a. The new line will be perpendicular to the original line.
b. The new line will intersect the original line.
c. The new line will be the same as the original line.
d. The new line will be parallel to the original line.
____ 31. Solve: x 2 − 9x + 3 = −17
ÏÔ
¸Ô
a. ÔÌ −5,− 4 Ô˝
b.
Ó
˛
ÏÔ
¸Ô
ÔÌÓ 6, 5 Ô˝˛
ÏÔ
¸Ô
ÔÌÓ −6,− 5 Ô˝˛
c.
d.
ÏÔ
¸Ô
ÔÌÓ 5, 4 Ô˝˛
d.
22
d.
−x y
____ 32. Given:
4x − 3y = −18
8x − 5y = −14
What is the value of x?
a. –10
b.
Ê
ˆÊ
34
c.
12
c.
−x y
ˆ
____ 33. Simplify: ÁÁÁÁ x 7 y 8 ˜˜˜˜ ÁÁÁÁ −x y3 ˜˜˜˜
Ë
¯Ë
¯
a.
8 11
b.
−x y
4 15
−x y
7 24
15 4
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.74 to mail a 4-pound
box. How much would it cost to mail a 12-pound box?
$19.77
b. $14.22
c. $12.74
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (2r − 5) ÁÁÁÁ 3r 2 + r − 4 ˜˜˜˜
3
2
c.
6r − 13r − 5r + 20
3
2
d.
6r − 15r − 13r + 20
a.
6r − 13r − 13r + 20
b.
6r − 15r − 5r + 20
6
3
2
3
2
$17.71
Name: ________________________
ID: V
____ 36. Each year, Cathy invests $1,800 in her account. The account pays an interest rate of 6.8%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 47 years?
a. $596,000
b. $579,000
c. $585,000
d.
$615,000
____ 37. The endpoints of AC are A ÁÊË −4, 1 ˜ˆ¯ and C ÁÊË 6, 9 ˜ˆ¯ . What are the coordinates of the midpoint?
a. (−1, −4)
b. (−1, −5)
c. (5, 4)
d. (1, 5)
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
–x – 2y = 4
b.
x – 2y = 13
c.
7
–2x + y = –5
d.
–2x – y = 6
Name: ________________________
ID: V
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 250
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Monday
˘˙
200 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 250
ÍÍÍ
Í
Wednesday ÍÍÍÍ 225
Î
Newspapers
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
200 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 3 boys
and 2 girls were absent. On Tuesday, 5 boys and 4 girls were absent. On Wednesday, 5 boys and 4 girls
were absent. On Thursday, 5 boys and 5 girls were absent. On Friday, 4 boys and 3 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 5 5 5 5 4 ˙˙˙˙˙
ÍÍÍÍ 3 5 5 5 4 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 4 4 4 5 3 ˙˚
ÍÎ 2 4 4 5 3 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
5
5
5
3
2
5
5
5
4
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 3 4 4 4 3 ˙˙˙˙˚
ÍÎ 3 5 4 4 2 ˙˙˚
8
Name: ________________________
ID: V
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 28
16
28 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 32
44
36 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙
˙
May ÍÍÍÍ 112
16
28 ˙˙˙˙
May ÍÍÍÍ 7
16
28 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
44
36 ˙˚
44
36 ˙˙˙˚
June ÍÎ 128
June ÍÎ 8
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˙˙˙˘
ÍÍÍ
˙˙˙
ÍÍÍ
May ÍÍ 7
4
7 ˙˙
May ÍÍ 112
64
112 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
11
9 ˙˙˙˚
176
144 ˙˙˙˚
June ÍÍÍÎ 8
June ÍÍÍÎ 128
____ 42. What value of x makes the equation true?
ÈÍÍ
ÍÍÍ
4
−2 ÍÍÍÍÍ
ÍÍÍ
ÍÎ x
a.
–3
b.
–4
˘˙˙ ÈÍÍ
˘˙˙ ÈÍÍ
˙˙˙ ÍÍÍ
˙ Í
−1 ˙˙ ÍÍ −2 −5 ˙˙˙˙ ÍÍÍÍ −10
˙˙˙ + ÍÍÍ
˙˙˙ = ÍÍÍ
˙ Í
˙ Í
−2 ˙˙˙˚ ÍÍÍÎ −3
2 ˙˙˙˚ ÍÍÍÎ −1
c. –1
˘˙˙
˙
8 ˙˙˙˙
˙˙˙
˙
1 ˙˙˙˚
d.
5
____ 43. The equation y = 489.83x + 2232 represents the value of a work of art from 1964 to 2005. What does the
number 489.83 represent?
value of the work of art in 2005
the yearly decrease in value
a.
b.
c.
d.
the yearly increase in value
value of the work of art in 1964
____ 44. A computer is purchased for $773 and depreciates at $55 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 55t
c.
V = 55t − 773
d.
a.
b.
V = 773 − 55t
V = 55 (773 − t )
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 900 feet?
a. 11 seconds
b. 8 seconds
c. 4 seconds
d. 3 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $30 to join and then $5 per book. The
second club costs $10 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 10
b. 8
c. 2
d. 6
____ 47. A group of 5 children and 7 adults pay a total of $160 to take a karate class. A group of 5 children and 5
adults take the same karate class for $120. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $20
b. $44
c. $24
d. $4
9
Name: ________________________
ID: V
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the y-intercept becomes negative
c.
d.
the y-intercept becomes positive
the slope would become positive
____ 49. The Outboard Motor Company can produce 13 motors in 13 weeks. Assuming a direct variation, how many
motors can the company produce in 27 weeks?
47 motors
b. 57 motors
c.
a.
d.
52 motors
27 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.05)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 95%
The value of the car is decreasing by 5%
The value of the car is increasing by 5%
The value of the car is decreasing by 95%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 40a 9 f 5 − 16a 3 f 7 + 4a 6 f 9 ˜˜˜˜ ?
Ë
a.
9 9
b.
4a f
9 7
4a f
¯
c.
6 7
d.
4a f
3 5
4a f
____ 52. Simplify:
Ê
Ê 2
2ˆ
2ˆ
−3p − ÁÁÁÁ 5p + 2q ˜˜˜˜ + 2 ÁÁÁÁ 3p − q ˜˜˜˜
Ë
¯
Ë
¯
2
2
a.
−2p − 4q
b.
6p − 8p − 4q
2
2
2
2
c.
−2p + 4q
d.
−6p + 8p + 4q
2
2
____ 53. What is the length of AB ?
a.
5
2
b.
5
2
c.
26
d.
26
____ 54. On a map of downtown, 12th Street is parallel to Avenue J. The equation y = −2x+ 19 represents 12th Street.
What is the equation representing Avenue J if it passes through the point ÊÁË −2,− 4 ˆ˜¯ ?
a. y = −2x – 3
b. y = −2x – 8
c. y = 1 x – 3
d. y = 1 x – 8
2
2
10
Name: ________________________
ID: V
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $9. 50
$9. 00
$7. 50
$9. 00 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $10. 75 $10. 50 $11. 75 $9. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14. 50 $13. 00 $13. 25 $12. 50 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 7 large pizzas and 4 medium pizzas. Which pizza shop will charge the least for the
order?
a. John's Pizza
b. Sal's
c. Romero's
d. Alfredo's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
11
20 ˙˙˙˙
17
Team 1 ÍÍÍÍ 13
Team 1 ÍÍÍÍ 20
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
16
10 ˙˚
12
Team 2 ÍÎ 11
Team 2 ÍÎ 12
What is the total number of ties by Team 2 for these two seasons?
a. 25
b. 36
c. 28
d. 23
Ties
˘˙˙
˙
16 ˙˙˙˙
˙˙˙
˙
15 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.99
$12.57 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $8.43
$12.09 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $7.88
$11.52 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $7.30
$11.01 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $6.71
$10.50 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages increased, while college degree generally wages decreased.
b. both groups showed an overall increase in hourly wages
c. high school diploma wages decreased, while college degree generally wages increased.
d. both groups showed an overall decrease in hourly wages
11
Name: ________________________
ID: V
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2
3
4
3.5
4.5
5
6
Visit (in
hours)
Cost of
$71
$80
$80
$103
$90
$120
$65
Visit
The equation of the line of best fit for the data is y = 13.38x + 60.24. What does the y-intercept represent?
a. length of visit
c. cost of a visit
b. flat fee
d. hourly rate
____ 59. An amusement park charges $11 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 6 times on a roller coaster. Her total payment was $41. Maria rode 14 times on a roller
coaster. What was her total payment?
a. $41
b. $46
c. $81
d. $71
____ 60. Which equation describes the function below?
x
–3
3
6
5
a.
2
y = −x + 81
b.
y = −x + 27
c.
y
24
24
78
56
y = 2x + 30
d.
2
y = 2x + 6
____ 61. Carol has four times as many 10-dollar bills as 5-dollar bills. She has a total of $405. How many 5-dollar bills
does Carol have?
9
a.
b.
36
c.
45
d.
27
____ 62. In 2000 Jim planted a tree that was 4 3 feet tall. In 2003 the tree was 23 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 6 3 feet per year
c. 19 1 feet per year
4
4
3
1
b. 19 feet per year
d. 6 feet per year
4
4
2
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.567 (1.68) , where x is the number of years after 1985. In what year were there approximately 8 thousand
cell phones?
a. 1990
b. 1994
c. 1992
d. 1986
____ 64. Given:
4x + y = −6
7x + 5y = 9
What is the value of y?
a. –9
b.
6
c.
12
–3
d.
3
ID: V
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: D
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
B
B
D
C
A
C
C
C
A
D
D
C
A
B
A
A
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: V
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
D
B
A
C
B
C
C
C
B
D
C
B
D
B
D
B
B
B
A
A
D
B
C
D
A
D
A
B
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: W
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
16n
8n
a.
____
8n
c.
8n
6
d.
2n
4
11
4
b.
256
11
c.
44
d.
128
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 40m 9 n 4 − 25m 4 n 5 − 20m 6 n 7 ˜˜˜˜ ?
Ë
a.
____
b.
4
2. If y varies directly as x, and y = 8 when x = 32, then what is the value of x when y = 11?
a.
____
2n
6
8
2
6 5
5m n
b.
4 4
5m n
c.
¯
9 7
5m n
d.
7 5
5m n
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045)B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 6 years was $18,578.47. What is the balance at the end of 10 years?
a. $24,194.00
b. $22,155.17
c. $21,201.12
d. $19,414.50
____
5. On a map, Luis’s house is located at ÊÁË −2, 1 ˆ˜¯ and Melvin’s house is at ÊÁË 1, 10 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(–0.5, 5.5)
b. (1.5, 4.5)
c. (0.5, –4.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÈÍÍ
˘˙˙
Í
˙
Belts ÍÍÍÍ 1039 1052 1080 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1003 1040 1095 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1126 1115 1076 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1117 1141 1174 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. belts
b. shirts
c. pants
d.
____
(0.5, –5.5)
hats
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1 8 3 ˙˙
8 7 −2 ˙˙˙˙
X = ÍÍÍÍÍ
˙˙˙
Y = ÍÍÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙
˙
ÍÎ 5 1 −2 ˙˙˙˚
ÍÎ −9 1 4 ˙˙˚
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘
ÍÈÍÍ
˙˘
ÍÍÍ −9 −15 −1 ˙˙˙˙˙
ÍÍÍ 9 15 1 ˙˙˙˙˙
ÍÍÍ 7 −1 −5 ˙˙˙˙˙
˙˙˙ b. ÍÍÍ
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
d.
˙˙˙˙
˙˙
ÍÍÍ
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÍÎ −4
−2
−2 ˙˙˙˚
2 2 ˙˙˙˚
0 −6 ˙˙˙˚
ÍÎ 4
ÍÎ 14
1
ÍÈÍÍ
ÍÍÍ −7
ÍÍÍ
ÍÍÍ
ÍÍÎ −14
1
0
˙˘˙˙
5 ˙˙˙˙
˙˙˙
˙
6 ˙˙˙˚
Name: ________________________
____
ID: W
8. A caterer’s recipes are each designed to make 4 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 3
Eggs
1
4 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 3
4
5 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1
2 ˙˙˙˙
Sugar (cups) ÍÍ 2
Î
˚
How much sugar is needed to make 40 servings of bread and 40 servings of cake?
a. 7
b. 70
c. 3
d. 30
____
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ −8 −3 −7 ˙˙˙˙˙
ÍÍ −2
1
Í
˙
9. Given X = ÍÍÍ
˙˙˙ and Y = ÍÍÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÎ 1 −8 −2 ˙˚
ÍÎ −1 −2
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ −28 −10 −38 ˙˙˙
ÍÍÍ 28 10 38 ˙˙˙˙˙
˙˙˙ b. ÍÍÍ
a. ÍÍÍÍ
˙˙˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
˙
˙
Í
−8
−24 ˙˚
8 24 ˙˙˙˚
ÍÎ −6
ÍÎ 6
˙˘˙˙
6 ˙˙˙˙
˙˙˙ . What is 4Y+ 2X?
˙
5 ˙˙˙˚
ÍÈÍÍ
˙˘˙˙
ÍÍÍ −24 −2
˙˙˙
10
˙˙˙ d.
c. ÍÍÍÍ
˙˙
ÍÍÍ
−24 16 ˙˙˙˚
ÍÎ −2
ÍÈÍÍ
ÍÍÍ 24
ÍÍÍÍ
ÍÍÍ
ÍÎ 2
2
24
˙˘˙˙
−10 ˙˙˙˙
˙˙˙
˙
−16 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
55o
20o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
57o
52o
50o
49o
45o
41o
o
o
o
o
o
Avg. Temp
17
23
27
33
35
44o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.9o
b. 2.5o
c. 1.7o
d. 2.2o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 5% has a principal of $120,000. If no more deposits or withdrawals
are made, about how much money will be in the account after four years?
a. $135,900
b. $142,900
c. $146,000
d. $145,900
____ 12. Given:
5x + 4y = −6
5x + 2y = 2
What is the value of x – y?
a. –4
b. 2
c.
6
d.
–2
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 77 feet per second is
2
given by the formula h(t) = −16t + 77t , where t is the time in seconds. What is the height of the object after 4
seconds?
a. 129 ft
b. 283 ft
c. 52 ft
d. 206 ft
____ 14. A taxi ride cost $26.10. The driver charged $3 plus $0.70 per 0.2 mile traveled. How far did the taxi travel on
this trip?
33 miles
a.
b.
28.7 miles
c.
2
6.6 miles
d.
6.1 miles
Name: ________________________
ID: W
____ 15. The average price of a movie ticket in the year 1996 was $4.89. The average price of a movie ticket in the
year 2001 was $7.84. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2010?
a. $10.79
b. $5.19
c. $12.73
d. $13.15
____ 16. What is the value of y in the system of equations below?
4x + 4y = −12
a.
–9
b.
3
c.
4
y = − x−5
3
–3
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–6
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.7. What was the approximate speed of the car if it created skid
marks 159 ft long?
a. 14 mph
b. 40 mph
c. 58 mph
d. 49 mph
____ 18. Multiply: (−4m + 15) (2m + 9)
a. –8m2+ 135
b. –8m2– 6m+ 135
c.
d.
–2m2– 6m+ 24
–2m2+ 24
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 8, and the
amount of space between rows is 4, what is the approximate rate of water flow that will result in a precipitation
rate of 35?
a. 11.6
b. 5.5
c. 1.4
d. 0.7
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
2
5
x + y = –1. Which equation could represent the new runway?
5
2
4x + 25y = –12
c. 25x + 4y = 15
d. 25x – 4y = –19
equation that represents the highway is
a.
–4x + 25y = –15
b.
____ 21. The midpoint of XY is point MÊÁË −10,− 9 ˆ˜¯ . If the coordinates of X are ÊÁË 0, 3 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË −20,− 3 ˆ˜¯
b. ÊÁË −5,− 3 ˆ˜¯
c. ÊÁË −20,− 21 ˆ˜¯
d. ÊÁË −5,− 21 ˆ˜¯
3
Name: ________________________
ID: W
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 4.6
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
b.
This Week
2.4
3.8
5.4
Last Week
ÍÈ
6-month ÍÍÍÍ 2.5
ÍÍÍ
Í
12-month ÍÍÍÍ 2.4
ÍÍÍ
Í
30-month ÍÍÍÍ 2.6
Î
5
3.8
4.6
Year Ago c.
˘˙
2.5 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.5
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 5.8
Î
Year Ago d.
˙˘
5.8 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Year Ago
˘˙
2.6 ˙˙˙˙
˙˙˙
˙
4.6 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
2.4
3.8
5.4
Last Week
ÍÈ
6-month ÍÍÍÍ 2.6
ÍÍÍ
Í
12-month ÍÍÍÍ 2.4
ÍÍÍ
Í
30-month ÍÍÍÍ 2.5
Î
Year Ago
˙˘
7 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˚
4.6
3.8
5
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 16 10 ˙˙˙˙
ages 2-5 ÍÍÍÍ 12 10 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 15 15 ˙˙ Matrix M: ages 6-10 ÍÍ 11 13 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 11 17 ˙˙˙˙
ages 11-15 ÍÍÍÍ 11 18 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍ −28 20 ˙˙˙˙˙
ÍÍÍ 4
ÍÍÍ −4
ÍÍÍ 28
0 ˙˙˙˙
0 ˙˙˙˙
−20 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
28 ˙˙˙˙
4
2
−4
−2
−26
−28
a. ÍÍÍÍÍ 26
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 22
ÍÍÍ 0 −1 ˙˙˙
ÍÍÍ 0
ÍÍÍ −22 −35 ˙˙˙˙˙
35 ˙˙˙
1 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
Í
9
3
˙˙˙ − 5 ÍÍÍÍÍ 4
____ 24. Simplify: −1 ÍÍÍÍÍ
˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ 7
ÍÎ 3 1 ˙˙˚
Î
ÍÈÍÍ
˙˘˙˙
ÍÍ
˙˙
a. ÍÍÍÍÍ −29 −8 ˙˙˙˙˙
b.
ÍÍÍ
˙˙˙
−38
−21
ÍÎ
˙˚
˘˙˙
˙
1 ˙˙˙˙
˙˙˙
˙
4 ˙˙˙˚
ÈÍÍ
ÍÍÍ
ÍÍÍ 41
ÍÍÍ
ÍÍÍ −32
Î
˙˘˙˙
−2 ˙˙˙˙
˙˙˙
˙
−19 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ 29
ÍÍÍÍ
ÍÍÍ
ÍÎ 38
˙˘˙˙
8 ˙˙˙˙
˙˙˙
˙
21 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ −41
ÍÍÍÍ
ÍÍÍ
ÍÎ 32
˙˘˙˙
2 ˙˙˙˙
˙˙˙
˙
19 ˙˙˙˚
Name: ________________________
ID: W
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
604
667
810
894
937
1026
1077
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 685
b. 765
c. 885
d. 725
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 3.9x + 15.8, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the y-intercept for this set of data?
a. the typing speed of a student with no experience
b. the highest typing speed recorded
c. the improvement in typing speed per week for the average student
d. the average typing speed of the students
____ 27. Suppose a ball is dropped from a height of 7 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 7 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 6th
bounce?
a. 4.12 meters
b. 2.82 meters
c. 3.34 meters
d. 3.72 meters
____ 28. Martha has $236. She needs $2300 to start an account. She earns $70 per day working, of which she saves
$40. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2300?
a. 2300 = 40d − 236
c. 2300 = 70d − 236
b. 2300 = 40d + 236
d. 2300 = 70d + 236
____ 29. Maria sells paintings in an art gallery. She earns $275 each week plus a commission equal to 4% of her
sales. This week her goal is to earn at least $636. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $9,000
b. $11,000
c. $9,500
d. $8,500
5
Name: ________________________
ID: W
____ 30. For the line graphed below, the x-intercept is changed to –4 and the slope is unchanged.
How will the graph of the line change?
a. The new line will intersect the original line.
b. The new line will be perpendicular to the original line.
c. The new line will be parallel to the original line.
d. The new line will be the same as the original line.
____ 31. Solve: x 2 + 5x + 5 = 1
ÏÔ
¸Ô
a. ÔÌ 4, 1 Ô˝
Ó
˛
ÏÔ
¸Ô
ÔÌÓ 6, 0 Ô˝˛
b.
c.
ÏÔ
¸Ô
ÔÌÓ −4,− 1 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −6, 0 Ô˝˛
d.
–57
d.
−15a b
____ 32. Given:
4x − y = −13
5x − 2y = 16
What is the value of x?
a. –43
b.
Ê
ˆÊ
29
c.
–14
c.
−15a b
ˆ
____ 33. Simplify: ÁÁÁÁ −3a b 3 ˜˜˜˜ ÁÁÁÁ 5a 10 b 7 ˜˜˜˜
Ë
¯Ë
¯
a.
10
−15a b
21
b.
4
−15a b
17
17
4
11
10
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $4.59 to mail a 3-pound
box. How much would it cost to mail a 14-pound box?
$18.36
b. $21.42
c. $29.15
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (4m − 5) ÁÁÁÁ 5m 2 + 2m + 4 ˜˜˜˜
3
2
c.
20m + 6m − 10m − 20
3
2
d.
20m − 17m + 6m − 20
a.
20m − 25m − 10m − 20
b.
20m − 25m + 6m − 20
6
3
3
2
2
$34.00
Name: ________________________
ID: W
____ 36. Each year, Cathy invests $1,500 in her account. The account pays an interest rate of 6.1%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 41 years?
a. $257,000
b. $266,000
c. $278,000
d.
$271,000
____ 37. The endpoints of AC are A ÁÊË −1, 1 ˜ˆ¯ and C ÁÊË 9, 7 ˜ˆ¯ . What are the coordinates of the midpoint?
a. (−4, −3)
b. (5, 3)
c. (4, 4)
d. (−4, −4)
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
–x + 2y = 7
b.
2x – y = 18
c.
7
x + 2y = –11
d.
2x + y = 5
Name: ________________________
ID: W
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˘˙
275 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Newspapers
˘˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
200 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 275
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Monday
˘˙
275 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 2 boys
and 3 girls were absent. On Tuesday, 5 boys and 3 girls were absent. On Wednesday, 5 boys and 5 girls
were absent. On Thursday, 2 boys and 3 girls were absent. On Friday, 4 boys and 4 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 2 5 5 2 4 ˙˙˙˙˙
ÍÍÍÍ 5 5 5 2 4 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 3 3 5 3 4 ˙˚
ÍÎ 5 3 5 3 4 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
3
5
5
2
4
4
2
5
5
2
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 4 3 5 3 3 ˙˙˙˙˚
ÍÎ 2 3 5 5 4 ˙˙˚
8
Name: ________________________
ID: W
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 20
20
40 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 40
40
30 ˙˙˙˚
In May and June his sales are a fifth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
Í
˙
Í
˙
May ÍÍÍÍ 4
20
40 ˙˙˙˙
May ÍÍÍÍ 100
20
40 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
40
30 ˙˚
40
30 ˙˙˙˚
June ÍÎ 8
June ÍÎ 200
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 100
100
200 ˙˙
May ÍÍ 4
4
8 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
200
150 ˙˙˙˚
8
6 ˙˙˙˚
June ÍÍÍÎ 200
June ÍÍÍÎ 8
____ 42. What value of m makes the equation true?
ÈÍÍ
ÍÍÍ
2
−3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 5
a.
–1
b.
10
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
−1 ˙˙
−2
˙˙˙ − 3 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
m ˙˚
ÍÎ 4
c. 14
˘˙˙ ÈÍÍ
˙ Í
−2 ˙˙˙˙ ÍÍÍÍ 10
˙˙˙ = ÍÍÍ
˙ Í
1 ˙˙˙˚ ÍÍÍÎ 2
˘˙˙
˙
−6 ˙˙˙˙
˙˙˙
˙
−7 ˙˙˙˚
d.
4
____ 43. The equation y = 321.14x + 4511 represents the value of a work of art from 1964 to 2005. What does the
number 321.14 represent?
the yearly decrease in value
the yearly increase in value
a.
b.
c.
d.
value of the work of art in 2005
value of the work of art in 1964
____ 44. A computer is purchased for $770 and depreciates at $65 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 770 − 65t
c.
V = 65 (770 − t )
d.
a.
b.
V = 65t − 770
V = 65t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 600 feet?
a. 6 seconds
b. 1 seconds
c. 4 seconds
d. 11 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $40 to join and then $25 per book. The
second club costs $30 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 6
b. 2
c. 4
d. 8
____ 47. A group of 6 children and 7 adults pay a total of $140 to take a karate class. A group of 5 children and 5
adults take the same karate class for $110. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $22
b. $14
c. $30
d. $8
9
Name: ________________________
ID: W
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the slope would become positive
c.
d.
the y-intercept becomes negative
the y-intercept becomes positive
____ 49. The Outboard Motor Company can produce 13 motors in 13 weeks. Assuming a direct variation, how many
motors can the company produce in 20 weeks?
35 motors
b. 20 motors
c.
a.
d.
25 motors
50 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 − 0.1)V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 90%
The value of the car is increasing by 10%
The value of the car is increasing by 90%
The value of the car is decreasing by 10%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 70a 7 f 7 − 70a 2 f 8 + 14a 5 f 9 ˜˜˜˜ ?
Ë
a.
7 9
b.
14a f
2 7
14a f
¯
c.
9 8
14a f
5 8
d.
14a f
d.
26
____ 52. Simplify:
Ê
Ê
2ˆ
2
2ˆ
2m + 2 ÁÁÁÁ 2m − n ˜˜˜˜ + 2 ÁÁÁÁ −m + n ˜˜˜˜
Ë
¯
Ë
¯
a.
b.
2
−2m + 6m + 0n
2
2m − 6m + 0n
2
2
2
2
2
2
c.
d.
4m + 0n
c.
26
4m + 0n
____ 53. What is the length of AB ?
a.
10
b.
10
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = −4x– 16 represents 12th
Street. What is the equation representing Avenue J if it passes through the point ÊÁË −4,− 2 ˜ˆ¯ ?
a. y = 1 x – 1
b. y = −4x – 18
c. y = −4x – 1
d. y = 1 x – 18
4
4
10
Name: ________________________
ID: W
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $8. 00
$7. 50
$8. 50
$6. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $10. 50 $12. 25 $11. 25 $11. 00 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $13. 25 $13. 25 $13. 25 $14. 25 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 6 large pizzas and 5 medium pizzas. Which pizza shop will charge the least for the
order?
a. Sal's
b. Romero's
c. Alfredo's
d. John's Pizza
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
17
15 ˙˙˙˙
15
Team 1 ÍÍÍÍ 12
Team 1 ÍÍÍÍ 12
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
14
14 ˙˚
12
Team 2 ÍÎ 19
Team 2 ÍÎ 18
What is the total number of ties by Team 2 for these two seasons?
a. 32
b. 28
c. 37
d. 26
Ties
˘˙˙
˙
17 ˙˙˙˙
˙˙˙
˙
14 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $9.41
$14.27 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $9.95
$13.76 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $10.49 $13.18 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $11.05 $12.61 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $11.50 $12.07 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. both groups showed an overall increase in hourly wages
b. both groups showed an overall decrease in hourly wages
c. high school diploma wages decreased, while college degree generally wages increased.
d. high school diploma wages increased, while college degree generally wages decreased.
11
Name: ________________________
ID: W
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2.5
2
3.5
4
4.5
5
5.5
Visit (in
hours)
Cost of
$53
$90
$92
$93
$105
$116
$56
Visit
The equation of the line of best fit for the data is y = 17.95x + 62.07. What does the slope represent?
a. flat fee
c. cost of a visit
b. length of visit
d. hourly rate
____ 59. An amusement park charges $12 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 6 times on a roller coaster. Her total payment was $30. Maria rode 12 times on a roller
coaster. What was her total payment?
a. $51
b. $30
c. $48
d. $24
____ 60. Which equation describes the function below?
x
–2
6
5
7
a.
2
b.
y = 3x + 5
y = −2x + 125
c.
y
17
113
80
152
2
y = −2x + 250
d.
y = 3x + 23
____ 61. Carol has five times as many 10-dollar bills as 5-dollar bills. She has a total of $330. How many 10-dollar bills
does Carol have?
30
a.
b.
24
c.
6
d.
36
____ 62. In 2000 Jim planted a tree that was 5 1 feet tall. In 2004 the tree was 23 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 4 feet per year
c. 4 1 feet per year
2
1
b. 18 feet per year
d. 18 feet per year
2
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.561 (1.56) , where x is the number of years after 1985. In what year were there approximately 31
thousand cell phones?
a. 1990
b. 1988
c. 1994
d. 1992
____ 64. Given:
8x − y = −7
4x − 3y = 19
What is the value of y?
a. 7
b.
–9
c.
12
–2
d.
–11
ID: W
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: B
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
C
C
C
A
D
A
D
B
A
C
C
C
D
B
D
D
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: W
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
C
B
A
D
D
B
A
A
D
A
D
B
D
B
A
A
A
A
B
D
D
C
A
A
C
C
B
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: X
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
22p
2p
a.
____
b.
11p
8
c.
20p
3.7
d.
11p
3.7
b.
5
256
5
c.
d.
45
144
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 63x 9 y 2 + 70x 4 y3 − 7x 7 y 6 ˜˜˜˜ ?
Ë
a.
____
8
3
2. If y varies directly as x, and y = 16 when x = 48, then what is the value of x when y = 15?
a.
____
20p
11
6 3
7x y
b.
7 3
7x y
c.
¯
4 2
d.
7x y
9 6
7x y
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.06) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 8 years was $15,850.13. What is the balance at the end of 12 years?
a. $20,010.42
b. $18,877.76
c. $25,262.70
d. $16,801.14
____
5. On a map, Luis’s house is located at ÊÁË −7, 1 ˆ˜¯ and Melvin’s house is at ÊÁË 9, 8 ˆ˜¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
(–1, –4.5)
b. (–1, –3.5)
c. (1, 4.5)
a.
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1071 1121 1092 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Hats ÍÍ 1064 1004 1031 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1057 1061 1118 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Shirts ÎÍ 1126 1154 1188 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. pants
b. belts
c. hats
d.
____
(8, 3.5)
7. Matrix X and matrix Y represent the inventories of two stores.
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
−8
−3
−5
Í
˙˙˙
X = ÍÍÍÍ
Y=
˙˙˙
ÍÍÍ
2 −9 ˙˙˙˚
ÍÎ 3
Which matrix, S, lists their combined inventories?
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
12
7
12
4
−1
−2
˙˙˙
ÍÍÍ
˙˙˙ c. ÍÍÍÍÍ −4 1
a. ÍÍÍÍÍ
b.
˙
Í
˙
ÍÍÍ
˙˙
ÍÍÍ
˙
ÍÍÍ
ÍÍÍ 11 2
ÍÍÎ −11 −2 14 ˙˙˙˙˚
4 ˙˙˙˚
ÍÎ 5 −2
Î
1
ÈÍÍ
ÍÍÍ
ÍÍÍ 4
ÍÍÍ
ÍÍ 8
ÍÎ
4
0
˘˙˙
˙
2 ˙˙˙˙
˙˙˙
˙
−14 ˙˙˙˚
shirts
˘˙˙
˙
7 ˙˙˙˙
˙˙˙
˙
−5 ˙˙˙˚
d.
ÈÍÍ
ÍÍÍ
ÍÍÍÍ −12
ÍÍÍ
ÍÍÎ −5
−7
2
˘˙˙
˙
−12 ˙˙˙˙
˙˙˙
˙
−4 ˙˙˙˚
Name: ________________________
____
ID: X
8. A caterer’s recipes are each designed to make 6 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 1
Eggs
1
1 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 3
4
3 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
4
1 ˙˙˙˙
Sugar (cups) ÍÍ 1
Î
˚
How much sugar is needed to make 66 servings of bread and 66 servings of cake?
a. 5
b. 55
c. 77
d. 7
____
ÍÈÍÍ
˙˘
ÍÍÍ −3 −8 −6 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
ÍÎ 0 −8 −9 ˙˙˙˚
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ 27 −18 −24 ˙˙˙˙˙
Í
˙˙˙ b. ÍÍÍÍÍ 36
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙
ÍÍÎ −42
6
−51 ˙˙˙˚
ÍÎ 42
ÍÈÍÍ
ÍÍÍ −6
ÍÍÍ
ÍÍÍ
ÍÍÎ −7
˙˘˙˙
1 ˙˙˙˙
˙˙˙ . What is 6Y– 3X?
˙
−5 4 ˙˙˙˚
˘˙˙
ÍÈÍÍ
˙˘
˙
ÍÍÍ −27 18 24 ˙˙˙˙˙
−30 −12 ˙˙˙˙
˙˙˙
˙˙˙ c. ÍÍÍÍ
˙˙
ÍÍÍ
˙˙˙
−54 −3 ˙˚
ÍÎ −42 −6 51 ˙˙˙˚
−1
d.
ÍÈÍÍ
ÍÍÍ −36
ÍÍÍÍ
ÍÍÍ
ÍÎ 42
30
54
˙˘˙˙
12 ˙˙˙˙
˙˙˙
˙
3 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
57o
21o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
58o
55o
49o
46o
43o
40o
o
o
o
o
o
Avg. Temp
18
26
32
31
36
47o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.5o
b. 0.3o
c. 1.2o
d. 1.3o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 6% has a principal of $420,000. If no more deposits or withdrawals
are made, about how much money will be in the account after four years?
a. $530,200
b. $538,600
c. $531,400
d. $539,800
____ 12. Given:
6x − 5y = −9
6x + 4y = 18
What is the value of x – y?
a. 1
b. –2
c.
4
d.
3
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 98 feet per second is
2
given by the formula h(t) = −16t + 98t , where t is the time in seconds. What is the height of the object after 2
seconds?
a. 230 ft
b. 34 ft
c. 132 ft
d. 328 ft
____ 14. A taxi ride cost $40.80. The driver charged $4 plus $0.80 per 0.4 mile traveled. How far did the taxi travel on
this trip?
18.4 miles
a.
b.
18.3 miles
c.
2
46 miles
d.
48.1 miles
Name: ________________________
ID: X
____ 15. The average price of a movie ticket in the year 1991 was $5.97. The average price of a movie ticket in the
year 2001 was $11.87. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2020?
a. $23.08
b. $17.77
c. $6.27
d. $17.84
____ 16. What is the value of y in the system of equations below?
3x + 5y = 6
a.
6
b.
–8
c.
3
y = − x−6
2
–2
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–14
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.4. What was the approximate speed of the car if it created skid
marks 243 ft long?
a. 54 mph
b. 17 mph
c. 48 mph
d. 22 mph
____ 18. Multiply: (3x + 15) (−2x − 9)
a. x2– 57x+ 6
b. –6x2– 135
c.
d.
x2+ 6
–6x2– 57x– 135
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 5, and the
amount of space between rows is 7, what is the approximate rate of water flow that will result in a precipitation
rate of 30?
a. 4.5
b. 10.9
c. 0.2
d. 2.3
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
2
x − 5y = 7. Which equation could represent the new runway?
5
–2x + 25y = 8
c. 25x + 2y = 4
d. 25x – 2y = 11
equation that represents the highway is
a.
2x + 25y = –17
b.
____ 21. The midpoint of XY is point MÊÁË −3, 0 ˆ˜¯ . If the coordinates of X are ÊÁË −9,− 6 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË −6,− 3 ˆ˜¯
b. ÊÁË −6, 6 ˆ˜¯
c. ÊÁË 3,− 3 ˆ˜¯
d. ÊÁË 3, 6 ˆ˜¯
3
Name: ________________________
ID: X
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 3.4
ÍÍÍ
Í
30-month ÍÍÍÍ 5.4
Î
b.
This Week
Year Ago c.
˘˙
2.8 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
2.6
3.8
5.8
Last Week
ÍÈ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 2.6
ÍÍÍ
Í
30-month ÍÍÍÍ 2.8
Î
This Week
ÈÍ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 2.6
ÍÍÍ
Í
30-month ÍÍÍÍ 2.9
Î
Year Ago d.
˙˘
5.4 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
3.4
3.8
5
Last Week
This Week
Year Ago
˘˙
6.6 ˙˙˙˙
˙˙˙
˙
5.8 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
5
3.8
3.4
Last Week
ÍÈ
6-month ÍÍÍÍ 2.8
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 6.6
Î
Year Ago
˙˘
2.9 ˙˙˙˙
˙˙˙
˙
3.4 ˙˙˙˙
˙˙˙
˙
5.4 ˙˙˙˙
˚
2.6
3.8
5.8
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 18 11 ˙˙˙˙
ages 2-5 ÍÍÍÍ 13 18 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 18 10 ˙˙ Matrix M: ages 6-10 ÍÍ 18 11 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 11 14 ˙˙˙˙
ages 11-15 ÍÍÍÍ 18 11 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÈÍÍ
˘
ÈÍÍ
ÍÍÍ −5
ÍÍÍ 31
ÍÍÍ 5 −7 ˙˙˙˙˙
ÍÍÍ −31 29
7 ˙˙˙˙
−29 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
1 ˙˙
−36
−21
0
−1
21
a. ÍÍÍ 0
b.
c.
d.
Í
˙
Í
˙
ÍÍÍ 36
Í
˙
Í
˙
˙
Í
˙
Í
˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 7 −3 ˙˙˙
ÍÍÍ −29 −25 ˙˙˙
ÍÍÍ −7
ÍÍÍ 29
3 ˙˙˙
25
Î
˚
Î
˚
Î
˚
Î
ÈÍÍ
˘˙˙
ÈÍÍ
ÍÍÍ
˙˙˙
Í
3
−8
˙˙˙ + 6 ÍÍÍÍÍ 9
____ 24. Simplify: −2 ÍÍÍÍÍ
˙
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ 0
ÍÎ 4 −3 ˙˙˚
Î
ÍÈÍÍ
˙˘˙˙
ÍÍ
˙˙
a. ÍÍÍÍÍ −36 −52 ˙˙˙˙˙
b.
ÍÍÍÍ 8
˙˙˙˙
−12
Î
˚
˘˙˙
˙
−6 ˙˙˙˙
˙˙˙
˙
−1 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ 36
ÍÍÍÍ
ÍÍÍ
ÍÎ −8
˙˘˙˙
52 ˙˙˙˙
˙˙˙
˙
12 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ −48
ÍÍÍÍ
ÍÍÍ
ÍÎ 8
˙˘˙˙
20 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 48
ÍÍÍÍ
ÍÍÍ
ÍÎ −8
˙˘˙˙
−20 ˙˙˙˙
˙˙˙
˙
0 ˙˙˙˚
˘˙˙
˙˙˙
˙˙˙
˙˙˙
˙˙˙
˙˙˙
˙˙˙
˙˚
Name: ________________________
ID: X
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
517
660
829
863
897
1050
1007
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 654
b. 814
c. 774
d. 694
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.7x + 18.2, where x is the number of weeks of experience of a student
and y is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the average typing speed of the students
b. the typing speed of a student with no experience
c. the improvement in typing speed per week for the average student
d. the highest typing speed recorded
____ 27. Suppose a ball is dropped from a height of 9 meters and bounces to 85% of its previous height after each
n
bounce. Using the formula h = 9 (0.85) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 7th
bounce?
a. 2.77 meters
b. 2.51 meters
c. 3.29 meters
d. 2.89 meters
____ 28. Martha has $217. She needs $2100 to start an account. She earns $75 per day working, of which she saves
$60. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2100?
a. 2100 = 75d − 217
c. 2100 = 75d + 217
b. 2100 = 60d − 217
d. 2100 = 60d + 217
____ 29. Maria sells paintings in an art gallery. She earns $200 each week plus a commission equal to 2.5% of her
sales. This week her goal is to earn at least $528. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $13,100
b. $12,100
c. $13,600
d. $14,600
5
Name: ________________________
ID: X
____ 30. For the line graphed below, the x-intercept is changed to –3 and the slope is unchanged.
How will the graph of the line change?
a. The new line will be perpendicular to the original line.
b. The new line will be parallel to the original line.
c. The new line will intersect the original line.
d. The new line will be the same as the original line.
____ 31. Solve: x 2 − 2x + 1 = 25
ÏÔ
¸Ô
a. ÔÌ 8,− 1 Ô˝
Ó
˛
ÏÔ
¸Ô
ÔÌÓ 6,− 4 Ô˝˛
b.
c.
ÏÔ
¸Ô
ÔÌÓ −8, 1 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −6, 4 Ô˝˛
d.
–4
d.
−4m n
____ 32. Given:
7x + y = −11
5x + 2y = 14
What is the value of x?
a. 17
b.
Ê
ˆÊ
13
c.
–21
c.
−4m n
ˆ
____ 33. Simplify: ÁÁÁÁ −m 2 n 10 ˜˜˜˜ ÁÁÁÁ 4m n 9 ˜˜˜˜
Ë
¯Ë
¯
a.
2 90
b.
−4m n
3 19
−4m n
10 12
12 10
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $3.84 to mail a 7-pound
box. How much would it cost to mail a 15-pound box?
$7.62
b. $8.23
c. $9.58
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (3m − 4) ÁÁÁÁ 2m 2 − 4m − 3 ˜˜˜˜
3
2
a.
6m − 20m + 7m + 12
b.
6m − 8m + 7m + 12
3
2
3
2
3
2
c.
6m + 7m + 16m + 12
d.
6m − 8m + 16m + 12
6
$10.34
Name: ________________________
ID: X
____ 36. Each year, Cathy invests $1,800 in her account. The account pays an interest rate of 3.4%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 33 years?
a. $112,000
b. $119,000
c. $95,000
d.
$92,000
____ 37. The endpoints of AC are A ÁÊË −1, 2 ˜ˆ¯ and C ÁÊË 2, 10 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
1
(− , −6)
2
b.
3
( , 4)
2
c.
1
(− , −4)
2
d.
1
( , 6)
2
–x + 2y = –19
d.
x + 2y = 9
←

→
____ 38. Which is an equation of a line that is parallel MN ?
a.
2x – y = –16
b.
2x + y = –12
c.
7
Name: ________________________
ID: X
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 275
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Monday
˘˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 275
ÍÍÍ
Í
Wednesday ÍÍÍÍ 175
Î
Newspapers
˘˙
200 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
200 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 200
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Monday
˘˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 5 boys
and 3 girls were absent. On Tuesday, 4 boys and 5 girls were absent. On Wednesday, 2 boys and 5 girls
were absent. On Thursday, 3 boys and 2 girls were absent. On Friday, 4 boys and 5 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 3 4 2 3 4 ˙˙˙˙˙
ÍÍÍÍ 5 4 2 3 4 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 5 5 5 5 5 ˙˚
ÍÎ 3 5 5 2 5 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
2
4
2
3
4
4
3
2
4
5
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 5 2 5 5 3 ˙˙˙˙˚
ÍÎ 5 5 5 2 5 ˙˙˚
8
Name: ________________________
ID: X
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 12
21
27 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 33
12
30 ˙˙˙˚
In May and June his sales are a third of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙
˙
May ÍÍÍÍ 36
21
27 ˙˙˙˙
May ÍÍÍÍ 36
63
81 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
12
30 ˙˚
36
90 ˙˙˙˚
June ÍÎ 99
June ÍÎ 99
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 4
21
27 ˙˙
May ÍÍ 4
7
9 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
12
30 ˙˙˙˚
4
10 ˙˙˙˚
June ÍÍÍÎ 11
June ÍÍÍÎ 11
____ 42. What value of r makes the equation true?
ÈÍÍ
ÍÍÍ
−2
−3 ÍÍÍÍÍ
ÍÍÍ
ÍÎ 4
a.
4
b.
14
˘˙˙
ÈÍÍ
˙˙˙
ÍÍÍ
r ˙˙
−4
˙˙˙ − 4 ÍÍÍÍÍ
˙˙˙
ÍÍÍ
−3 ˙˚
ÍÎ −5
c. 13
˘˙˙ ÈÍÍ
˙ Í
−4 ˙˙˙˙ ÍÍÍÍ −7
˙˙˙ = ÍÍÍ
˙ Í
−2 ˙˙˙˚ ÍÍÍÎ −3
˘˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
−10 ˙˙˙˚
d.
6
____ 43. The equation y = 443.45x + 3739 represents the value of a work of art from 1964 to 2005. What does the
number 3739 represent?
the yearly increase in value
value of the work of art in 2005
a.
b.
c.
d.
the yearly decrease in value
value of the work of art in 1964
____ 44. A computer is purchased for $734 and depreciates at $20 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 20 (734 − t )
c.
V = 734 − 20t
d.
a.
b.
V = 20t
V = 20t − 734
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 600 feet?
a. 4 seconds
b. 1 seconds
c. 6 seconds
d. 9 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $40 to join and then $15 per book. The
second club costs $20 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 12
b. 6
c. 2
d. 8
____ 47. A group of 6 children and 6 adults pay a total of $180 to take a karate class. A group of 4 children and 2
adults take the same karate class for $80. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $30
b. $50
c. $10
d. $20
9
Name: ________________________
ID: X
____ 48. For the line y = mx + b , where m < 0 and b > 0, what change would occur if b is multiplied by -1 and m remains
the same?
a. the slope would become negative
b. the y-intercept becomes negative
c.
d.
the y-intercept becomes positive
the slope would become positive
____ 49. The Outboard Motor Company can produce 13 motors in 26 weeks. Assuming a direct variation, how many
motors can the company produce in 20 weeks?
40 motors
b. 10 motors
c.
a.
d.
0 motors
15 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 + 0.05) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is decreasing by 95%
The value of the car is increasing by 95%
The value of the car is decreasing by 5%
The value of the car is increasing by 5%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 14c 9 b 2 + 4c 5 b 5 + 10c 6 b 8 ˜˜˜˜ ?
Ë
a.
5
2c b
2
b.
6
2c b
5
¯
c.
8
2c b
5
d.
9
2c b
8
____ 52. Simplify:
Ê
2ˆ Ê
2
2ˆ
−2a + ÁÁÁÁ a + b ˜˜˜˜ + ÁÁÁÁ −3a + 3b ˜˜˜˜
Ë
¯ Ë
¯
a.
b.
2
3a + a − 4b
2
−4a − 4b
2
c.
d.
2
2
−4a + 4b
2
2
−3a − a + 4b
2
____ 53. What is the length of AB ?
a.
106
b.
10
c.
10
d.
106
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = 4x+ 2 represents 12th
Street. What is the equation representing Avenue J if it passes through the point ÊÁË −4,− 5 ˜ˆ¯ ?
a. y = − 1 x – 6
b. y = 4x + 11
c. y = 4x – 6
d. y = − 1 x + 11
4
4
10
Name: ________________________
ID: X
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $8. 00
$8. 50
$6. 50
$9. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $11. 25 $9. 50
$9. 75
$12. 25 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $13. 00 $14. 50 $13. 25 $14. 50 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 4 large pizzas and 2 medium pizzas. Which pizza shop will charge the least for the
order?
a. Sal's
b. Alfredo's
c. John's Pizza
d. Romero's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
12
13 ˙˙˙˙
13
Team 1 ÍÍÍÍ 13
Team 1 ÍÍÍÍ 16
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
17
20 ˙˚
17
Team 2 ÍÎ 19
Team 2 ÍÎ 13
What is the total number of losses by Team 2 for these two seasons?
a. 35
b. 34
c. 32
d. 25
Ties
˘˙˙
˙
12 ˙˙˙˙
˙˙˙
˙
15 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.32
$13.25 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $7.86
$12.77 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $7.30
$12.29 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $6.85
$11.75 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $6.39
$11.24 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages decreased, while college degree generally wages increased.
b. both groups showed an overall decrease in hourly wages
c. both groups showed an overall increase in hourly wages
d. high school diploma wages increased, while college degree generally wages decreased.
11
Name: ________________________
ID: X
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
2.5
2
3.5
3
5
4.5
6
Visit (in
hours)
Cost of
$56
$80
$92
$92
$110
$116
$69
Visit
The equation of the line of best fit for the data is y = 13.14x + 70.97. What does the y-intercept represent?
a. cost of a visit
c. hourly rate
b. flat fee
d. length of visit
____ 59. An amusement park charges $20 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 10 times on a roller coaster. Her total payment was $70. Maria rode 13 times on a roller
coaster. What was her total payment?
a. $85
b. $90
c. $70
d. $60
____ 60. Which equation describes the function below?
x
–1
5
4
6
a.
2
b.
y = 3x + 5
2
y = −3x + 221
c.
y
8
80
53
113
y = 3x + 11
d.
y = −3x + 95
____ 61. Carol has four times as many 10-dollar bills as 5-dollar bills. She has a total of $180. How many 5-dollar bills
does Carol have?
20
a.
b.
4
c.
12
d.
16
____ 62. In 2000 Jim planted a tree that was 5 1 feet tall. In 2006 the tree was 38 1 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 33 feet per year
c. 33 1 feet per year
2
1
b. 5 feet per year
d. 5 feet per year
2
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.585 (1.62) , where x is the number of years after 1985. In what year were there approximately 7 thousand
cell phones?
a. 1994
b. 1986
c. 1990
d. 1992
____ 64. Given:
8x + 2y = 20
7x − y = 1
What is the value of y?
a. 6
b.
–5
c.
12
1
d.
7
ID: X
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: B
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
D
A
A
D
D
C
D
D
A
B
B
D
B
B
A
A
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: X
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
D
D
C
C
D
D
D
B
C
D
A
B
B
D
A
D
C
A
D
B
B
B
A
A
B
B
C
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2
Name: ________________________ Class: ___________________ Date: __________
ID: Y
Algebra 1 Released Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify:
40x
12
20x
a.
____
b.
2x
1.3
c.
20x
3
d.
20x
1.3
91
b.
208
7
c.
338
d.
28
13
Ê
ˆ
3. Which expression is the greatest common factor of ÁÁÁÁ 49x 8 y 7 + 28x4 y8 + 21x 5 y 9 ˜˜˜˜ ?
Ë
a.
____
3
2. If y varies directly as x, and y = 8 when x = 52, then what is the value of x when y = 14?
a.
____
2x
9
5 8
7x y
b.
4 7
c.
7x y
¯
8 9
d.
7x y
9 8
7x y
4. The balance, Bn+1, in Mr Smith’s savings account at the end of a year is calculated by the equation
B n+1 = (1.045) B n , where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to open
the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the
end of 5 years was $18,299.91. What is the balance at the end of 8 years?
a. $22,805.02
b. $20,883.24
c. $19,123.41
d. $19,983.96
____
5. On a map, Luis’s house is located at ÁÊË −6, 3 ˜ˆ¯ and Melvin’s house is at ÁÊË 8, 5 ˜ˆ¯ . What are the coordinates for
Raquel’s home if she lives exactly halfway between Luis and Melvin?
a. (1, 4)
b. (–1, –4)
c. (–1, –1)
____
d.
6. The matrix below shows the yearly sales of belts, hats, pants, and shirts at a local store over three years.
Year 1 Year 2 Year 3
ÍÈÍÍ
˙˘˙˙
Belts ÍÍÍÍ 1049 1145 1065 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Hats ÍÍÍÍ 1040 1058 1034 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Pants ÍÍÍÍ 1082 1066 1129 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Shirts ÍÍÍÎ 1145 1155 1164 ˙˙˙˚
Which item shows a decrease in yearly sales from Year 1 to Year 2?
a. belts
b. shirts
c. pants
d.
____
(7, 1)
7. Matrix X and matrix Y represent the inventories of two stores.
ÍÈÍÍ
ÍÍ −6
X = ÍÍÍÍÍ
ÍÍÍ
ÍÎ −4
7
−3
Which matrix, S, lists their combined inventories?
ÍÈÍÍ
˙˘˙˙
ÍÈÍÍ
˙˘
ÍÍÍ 8
˙˙˙
ÍÍÍ −8 −1 −16 ˙˙˙˙˙
1
16
˙˙˙
˙˙˙ c.
a. ÍÍÍÍ
b. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
3 ˙˚
1
−3 ˙˙˙˚
ÍÎ 4 −1
ÍÎ −4
1
˙˘˙˙
−8 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˚
ÍÈÍÍ
ÍÍÍ −4
ÍÍÍÍ
ÍÍÍ
ÍÎ −4
ÍÈÍÍ
ÍÍ 2
Y = ÍÍÍÍÍ
ÍÍÍ
ÍÎ 0
15
−7
8
−4
˙˘˙˙
0 ˙˙˙˙
˙˙˙
˙
13 ˙˙˙˚
hats
˙˘˙˙
8 ˙˙˙˙
˙˙˙
˙
8 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 4
ÍÍÍÍ
ÍÍÍ
ÍÎ 4
−15
7
˙˘˙˙
0 ˙˙˙˙
˙˙˙
˙
−13 ˙˙˙˚
Name: ________________________
____
ID: Y
8. A caterer’s recipes are each designed to make 8 servings. The ingredients area shown in the matrix below.
Cake Bread Cookies
ÈÍÍ
˘˙
ÍÍÍ 3
Eggs
3
5 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Flour (cups) ÍÍÍÍ 6
2
2 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
6
3 ˙˙˙˙
Sugar (cups) ÍÍ 3
Î
˚
How much sugar is needed to make 88 servings of bread and 88 servings of cake?
a. 9
b. 8
c. 99
d. 88
____
ÍÈÍÍ
˙˘
ÍÍÍ 3 −1 −9 ˙˙˙˙˙
Í
˙˙˙ and Y =
9. Given X = ÍÍÍ
˙˙
ÍÍÍ
4
3 ˙˙˙˚
ÍÎ −9
ÍÈÍÍ
˙˘
ÍÈÍÍ
ÍÍÍ −47 −13 −33 ˙˙˙˙˙
Í
˙˙˙ b. ÍÍÍÍÍ 47
a. ÍÍÍÍ
˙
ÍÍÍ
ÍÍÍ
˙
ÍÍÎ 21
15 ˙˙˙˚
ÍÎ −21 12
ÍÈÍÍ
ÍÍÍ 7
ÍÍÍ
ÍÍÍ
ÍÍÎ 6
˙˘˙˙
3 ˙˙˙˙
˙˙˙ . What is –4Y+ 5X?
˙
−2 0 ˙˙˙˚
˘˙˙
ÍÈÍÍ
˙˘˙˙
˙
ÍÍÍ −13
˙˙˙
13
33 ˙˙˙˙
3
−57
˙˙˙ d.
˙˙˙ c. ÍÍÍÍ
˙˙˙
˙˙˙
ÍÍÍ
−12 −15 ˙˚
ÍÎ −69 28 15 ˙˙˚
−2
ÍÈÍÍ
ÍÍÍ 13
ÍÍÍÍ
ÍÍÍ
ÍÎ 69
−3
−28
˙˘˙˙
57 ˙˙˙˙
˙˙˙
˙
−15 ˙˙˙˚
____ 10. The chart below shows the latitudes and average January temperatures for 7 cities.
City
Alamance
Scranto
n
57o
22o
Dade
Turnsville
Columbia
Jamesville
Bowmore
Latitude
59o
54o
50o
48o
45o
43o
o
o
o
o
o
Avg. Temp
18
23
29
30
35
45o
in January
According to the line of best fit, what is the approximate decrease in average temperature per degree change
in latitude?
a. 1.4o
b. 0.4o
c. 1.3o
d. 1.9o
____ 11. In the formula A = P (1 + r ) t , P is the principal, r is the annual rate of interest, and A is the amount after t years.
An account earning interest at a rate of 5% has a principal of $220,000. If no more deposits or withdrawals
are made, about how much money will be in the account after three years?
a. $244,700
b. $254,700
c. $255,000
d. $256,500
____ 12. Given:
5x − 4y = −16
5x − 5y = −15
What is the value of x – y?
a. –1
b. –3
c.
–4
d.
–5
____ 13. The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 80 feet per second is
2
given by the formula h(t) = −16t + 80t , where t is the time in seconds. What is the height of the object after 3
seconds?
a. 256 ft
b. 336 ft
c. 176 ft
d. 96 ft
____ 14. A taxi ride cost $32.40. The driver charged $3 plus $0.70 per 0.8 mile traveled. How far did the taxi travel on
this trip?
42 miles
a.
b.
33.6 miles
c.
2
39.3 miles
d.
36.1 miles
Name: ________________________
ID: Y
____ 15. The average price of a movie ticket in the year 1993 was $5.97. The average price of a movie ticket in the
year 2002 was $6.87. Assuming the increase is linear, what would the approximate price of a movie ticket in
the year 2015?
a. $8.17
b. $7.77
c. $12.84
d. $6.22
____ 16. What is the value of y in the system of equations below?
3x − y = −17
a.
–6
b.
–5
3
y = − x − 10
2
c. –1
d.
____ 17. A car’s speed before a sudden stop can be estimated by the formula S =
–7
30gk , where
S = speed of the car in mph
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 0.4. What was the approximate speed of the car if it created skid
marks 152 ft long?
a. 17 mph
b. 14 mph
c. 43 mph
d. 33 mph
____ 18. Multiply: (−2r − 6) (−3r − 15)
a. 6r2+ 90
b. –5r2+ 48r– 21
c.
d.
–5r2– 21
6r2+ 48r+ 90
____ 19. The formula P = 96.3F can be used to calculate the precipitation rate at which sprinklers spread water. In the
SL
formula, P is the precipitation rate, F is the rate of water flow, S is the amount of space between each
sprinkler, and L is the space between two rows of sprinklers. If the space between each sprinkler is 3, and the
amount of space between rows is 7, what is the approximate rate of water flow that will result in a precipitation
rate of 35?
a. 7.6
b. 6.4
c. 0.2
d. 1.2
____ 20. At the airport, the new runway will be parallel to a nearby highway. On a scale drawing of the airport, the
3
5
equation that represents the highway is − x − y = –8. Which equation could represent the new runway?
5
4
a. –25x – 12y = –17 b. –12x – 25y = –3 c. 12x – 25y = 11
d. –25x + 12y = 13
____ 21. The midpoint of XY is point MÊÁË −1, 3 ˆ˜¯ . If the coordinates of X are ÊÁË −7,− 5 ˆ˜¯ , what are the coordinates of Y?
a. ÊÁË −4,− 1 ˆ˜¯
b. ÊÁË 5,− 1 ˆ˜¯
c. ÊÁË −4, 11 ˆ˜¯
d. ÊÁË 5, 11 ˆ˜¯
3
Name: ________________________
ID: Y
____ 22. The average interest rates for certificates of deposit are given in percents in the graph below.
a.
This Week
ÈÍ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.9
Î
b.
This Week
ÍÈ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 3.8
ÍÍÍ
Í
30-month ÍÍÍÍ 6.6
Î
Last Week
5
4.2
3.8
Last Week
2.9
4.2
7
Year Ago c.
˘˙
7 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
This Week
Last Week
ÈÍ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 2.9
ÍÍÍ
Í
30-month ÍÍÍÍ 2.9
Î
Year Ago d.
˙˘
2.9 ˙˙˙˙
˙˙˙
˙
5 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
This Week
Year Ago
˘˙
6.6 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˙˙˙
˙
7 ˙˙˙˙
˚
3.8
4.2
5
Last Week
ÍÈ
6-month ÍÍÍÍ 2.9
ÍÍÍ
Í
12-month ÍÍÍÍ 5
ÍÍÍ
Í
30-month ÍÍÍÍ 7
Î
Year Ago
˙˘
2.9 ˙˙˙˙
˙˙˙
˙
3.8 ˙˙˙˙
˙˙˙
˙
6.6 ˙˙˙˙
˚
2.9
4.2
7
____ 23. Matrix G shows the number of students at a gym in the year 2001. Matrix M shows the number of students at
the same gym in 2005.
boys
girls
boys
girls
ÈÍ
˘˙
ÈÍ
˘˙
ages 2-5 ÍÍÍÍ 16 10 ˙˙˙˙
ages 2-5 ÍÍÍÍ 13 17 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Matrix G: ages 6-10 ÍÍ 10 14 ˙˙ Matrix M: ages 6-10 ÍÍ 12 14 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
Í
˙
ages 11-15 ÍÍÍÍ 14 14 ˙˙˙˙
ages 11-15 ÍÍÍÍ 13 15 ˙˙˙˙
Î
˚
Î
˚
Which matrix represents the change from 2000 to 2005?
ÈÍÍ
˘
ÈÍÍ
˘
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍ −29 27 ˙˙˙˙˙
ÍÍÍ 3 −7 ˙˙˙˙˙
ÍÍÍ −3
ÍÍÍ 29
7 ˙˙˙˙
−27 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
Í
˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
28 ˙˙˙˙
−2
0
2
0
−22
−28
a. ÍÍÍÍÍ 22
b.
c.
d.
Í
˙
Í
˙
Í
˙˙˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙
Í
˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
ÍÍÍ 27
ÍÍÍ 1 −1 ˙˙˙
ÍÍÍ −1
ÍÍÍ −27 −29 ˙˙˙˙˙
29 ˙˙˙
1 ˙˙˙
Î
˚
Î
˚
Î
˚
Î
˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
4
4
−4
7
˙˙˙
˙˙˙˙ − 6 ÍÍÍÍ
____ 24. Simplify: −1 ÍÍÍÍÍ
˙˙
˙˙˙
ÍÍ
ÍÍÍ
Í
ÍÍÎ −8 2 ˙˙˙˙˚
ÍÎ 0 2 ˙˙˚
ÈÍÍ
ÍÈÍÍ
˙˘
ÍÍÍ
ÍÍÍ −20 46 ˙˙˙˙˙
ÍÍÍ −28
˙˙˙
a. ÍÍÍÍ
b.
ÍÍÍ
ÍÍÍÍ −48 14 ˙˙˙˙˙
ÍÍÍ −48
Î
˚
Î
˙˘˙˙
38 ˙˙˙˙
˙˙˙
˙
10 ˙˙˙˚
c.
4
ÍÈÍÍ
ÍÍÍ 20
ÍÍÍÍ
ÍÍÍ
ÍÎ 48
˙˘˙˙
−46 ˙˙˙˙
˙˙˙
˙
−14 ˙˙˙˚
d.
ÍÈÍÍ
ÍÍÍ 28
ÍÍÍÍ
ÍÍÍ
ÍÎ 48
˙˘˙˙
−38 ˙˙˙˙
˙˙˙
˙
−10 ˙˙˙˚
Name: ________________________
ID: Y
____ 25. The table below displays the average number of pounds of milk and milk fat produced per cow in seven
different states in 2001.
Colorado
Georgia Maryland Nebraska Oklahoma Tennessee
Utah
State
19800
19830
19860
19890
19920
19950
19980
Pounds
of Milk
638
673
840
886
948
986
1053
Pounds
of Milk
Fat
In North Carolina in 2001, the production of milk per cow was pounds. According to the line of best fit for the
data above, approximately how many pounds of milk fat were produced per cow in North Carolina?
a. 1098
b. 858
c. 1058
d. 978
____ 26. Mr. Hanson recorded the typing speeds (in words per minute) of s students and their weeks of experience.
The line of best fit for the data is y = 5.7x + 20, where x is the number of weeks of experience of a student and y
is the student’s typing speed. What is the meaning of the slope for this set of data?
a. the improvement in typing speed per week for the average student
b. the highest typing speed recorded
c. the average typing speed of the students
d. the typing speed of a student with no experience
____ 27. Suppose a ball is dropped from a height of 9 meters and bounces to 90% of its previous height after each
n
bounce. Using the formula h = 9 (0.9) , where n represents the number of bounces and h represents the
maximum height after the nth bounce, what is the approximate maximum height of the ball after the 6th
bounce?
a. 4.14 meters
b. 4.78 meters
c. 4.92 meters
d. 5.18 meters
____ 28. Martha has $225. She needs $2600 to start an account. She earns $75 per day working, of which she saves
$65. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of
$2600?
a. 2600 = 65d + 225
c. 2600 = 65d − 225
b. 2600 = 75d − 225
d. 2600 = 75d + 225
____ 29. Maria sells paintings in an art gallery. She earns $300 each week plus a commission equal to 2.25% of her
sales. This week her goal is to earn at least $540. What is the minimum amount of sales she must have this
week to achieve her goal?
a. $12,200
b. $10,700
c. $10,200
d. $11,700
5
Name: ________________________
ID: Y
____ 30. For the line graphed below, the x-intercept is changed to –3 and the slope is unchanged.
How will the graph of the line change?
a. The new line will be the same as the original line.
b. The new line will intersect the original line.
c. The new line will be perpendicular to the original line.
d. The new line will be parallel to the original line.
____ 31. Solve: x 2 + 5x − 5 = −11
ÏÔ
¸Ô
a. ÔÌ 3, 2 Ô˝
b.
Ó
ÏÔ
¸Ô
ÔÌÓ 6, 1 Ô˝˛
˛
c.
ÏÔ
¸Ô
ÔÌÓ −6,− 1 Ô˝˛
d.
ÏÔ
¸Ô
ÔÌÓ −3,− 2 Ô˝˛
d.
11
d.
−12m n
____ 32. Given:
6x − y = 19
8x − 3y = 7
What is the value of x?
a. 5
b.
Ê
ˆÊ
–6
c.
16
c.
−12m n
ˆ
____ 33. Simplify: ÁÁÁÁ −3m 2 n 2 ˜˜˜˜ ÁÁÁÁ 4m 5 n 7 ˜˜˜˜
Ë
¯Ë
¯
a.
12 4
b.
−12m n
4
−12m n
12
7 9
10 14
____ 34. The cost of mailing a box varies directly with the weight of the box in pounds.It costs $3.18 to mail a 6-pound
box. How much would it cost to mail a 12-pound box?
$7.31
b. $5.93
c. $7.83
a.
Ê
Ë
d.
ˆ
¯
____ 35. Which expression is equivalent to (2k − 4) ÁÁÁÁ 5k 2 − 2k − 3 ˜˜˜˜
a.
b.
3
2
10k − 24k + 2k + 12
3
2
10k + 2k + 8k + 12
c.
d.
6
3
2
3
2
10k − 20k + 8k + 12
10k − 20k + 2k + 12
$6.36
Name: ________________________
ID: Y
____ 36. Each year, Cathy invests $1,500 in her account. The account pays an interest rate of 5.6%. The formula to
n+1
A (1 + r )
r
interest rate and n is the number of years investing.
calculate the balance in her account is B =
−A
, where A is the amount invested per year, r is the
Approximately how much will Cathy have in her account after 45 years?
a. $303,000
b. $297,000
c. $302,000
d.
$309,000
____ 37. The endpoints of AC are A ÁÊË −2, 1 ˜ˆ¯ and C ÁÊË 6, 10 ˜ˆ¯ . What are the coordinates of the midpoint?
a.
(−2, −
11
)
2
b.
(2,
11
)
2
c.
9
(−2, − )
2
9
)
2
d.
(4,
d.
2x – y = –4
←

→
____ 38. Which is an equation of a line that is perpendicular MN ?
a.
2x + y = –6
b.
–x + 2y = 12
c.
7
x + 2y = –12
Name: ________________________
ID: Y
____ 39. The graph below displays the number of newspapers and magazines sold at a store for three days in one
week.
Which matrix correctly displays the information?
a.
Newspapers Magazines
c.
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Newspapers
Monday
b.
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Monday
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
Magazines
Newspapers
Magazines
ÈÍÍ
ÍÍÍ 175
ÍÍÍÍ
Tuesday ÍÍÍÍ 225
ÍÍÍ
Í
Wednesday ÍÍÍÍ 275
Î
Newspapers
˘˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
Magazines
Monday
d.
˘˙
175 ˙˙˙˙
˙˙˙
˙
225 ˙˙˙˙
˙˙˙
˙
275 ˙˙˙˙
˚
ÈÍÍ
ÍÍÍ 225
ÍÍÍÍ
Tuesday ÍÍÍÍ 175
ÍÍÍ
Í
Wednesday ÍÍÍÍ 250
Î
Monday
˘˙
225 ˙˙˙˙
˙˙˙
˙
175 ˙˙˙˙
˙˙˙
˙
250 ˙˙˙˙
˚
____ 40. an algebra teacher recorded the number of boys and girls absent in her class last week. On Monday, 3 boys
and 4 girls were absent. On Tuesday, 5 boys and 5 girls were absent. On Wednesday, 2 boys and 2 girls
were absent. On Thursday, 4 boys and 3 girls were absent. On Friday, 5 boys and 5 girls were absent.
Which matrix correctly displays the number of boys and girls absent each day last week?
ÈÍÍ
˘˙
ÈÍÍ
˘˙
ÍÍÍÍ 5 4 2 5 3 ˙˙˙˙˙
ÍÍÍÍ 2 5 2 4 5 ˙˙˙˙˙
˙˙˙
˙˙˙
a. ÍÍÍÍ
c. ÍÍÍÍ
˙˙˙
˙˙
ÍÍÍ
ÍÍÍ
˙
ÍÎ 5 3 2 5 4 ˙˚
ÍÎ 2 5 2 3 5 ˙˙˙˚
ÈÍÍ
˘˙˙
ÈÍÍ
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
3
5
2
4
5
4
5
2
4
5
˙˙˙
ÍÍÍ
˙˙˙
b. ÍÍÍÍÍ
d.
˙
Í
˙˙
˙˙˙
ÍÍÍ
ÍÍÍ
ÍÍÎ 3 5 2 2 5 ˙˙˙˙˚
ÍÎ 4 5 2 3 5 ˙˙˚
8
Name: ________________________
ID: Y
____ 41. Mr. Vang sells guitars, drums, and violins. The matrix below displays the sales for March and April.
Guitars Drums Violins
ÈÍÍ
˘˙˙
ÍÍÍ
˙
March ÍÍ 36
20
24 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
April ÍÍÍÎ 36
44
16 ˙˙˙˚
In May and June his sales are a fourth of March’s sales and April’s sales, respectively. Which matrix displays
the sales for May and June?
a.
Guitars Drums Violins
c.
Guitars Drums Violins
˘˙˙
˘˙˙
ÍÈÍÍ
ÍÈÍÍ
˙
˙
May ÍÍÍÍ 144
20
24 ˙˙˙˙
May ÍÍÍÍ 144
80
96 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
44
16 ˙˚
176
64 ˙˙˙˚
June ÍÎ 144
June ÍÎ 144
b.
Guitars Drums Violins
d.
Guitars Drums Violins
ÈÍÍ
ÈÍÍ
˘˙˙
˘˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
May ÍÍ 9
20
24 ˙˙
May ÍÍ 9
5
6 ˙˙˙˙
ÍÍÍÍ
˙˙˙˙
ÍÍÍÍ
˙˙˙˙
44
16 ˙˙˙˚
11
4 ˙˙˙˚
June ÍÍÍÎ 9
June ÍÍÍÎ 9
____ 42. What value of m makes the equation true?
ÈÍÍ
ÍÍÍ
m
4 ÍÍÍÍÍ
ÍÍÍ
ÍÎ −2
a.
–1
b.
7
˘˙˙ ÈÍÍ
˘˙˙ ÈÍÍ
˙˙˙ ÍÍÍ
˙ Í
−1 ˙˙ ÍÍ −3
1 ˙˙˙˙ ÍÍÍÍ −7
˙˙˙ + ÍÍÍ
˙˙˙ = ÍÍÍ
˙ Í
˙ Í
1 ˙˙˙˚ ÍÍÍÎ 2 −2 ˙˙˙˚ ÍÍÍÎ 10
c. –3
˘˙˙
˙
−7 ˙˙˙˙
˙˙˙
˙
2 ˙˙˙˚
d.
–10
____ 43. The equation y = 340.72x + 2050 represents the value of a work of art from 1964 to 2005. What does the
number 2050 represent?
the yearly decrease in value
value of the work of art in 1964
a.
b.
c.
d.
value of the work of art in 2005
the yearly increase in value
____ 44. A computer is purchased for $617 and depreciates at $45 per year. Which linear equation represents the
value, V, of the computer at the end of t years?
V = 45t − 617
c.
V = 45t
d.
a.
b.
V = 45 (617 − t )
V = 617 − 45t
____ 45. An object is dropped from a tall building. Suppose the distance it travels is given by the formula d = 16t 2 ,
where d represents the distance in feet and t represents time in seconds. About how long does it take the
object to fall 800 feet?
a. 8 seconds
b. 3 seconds
c. 7 seconds
d. 9 seconds
____ 46. Henry wants to join a book-of-the-month club. The first club costs $50 to join and then $15 per book. The
second club costs $25 and has no fee to join. How many books would need to be purchased from each club
for the clubs to cost the same?
a. 11
b. 5
c. 9
d. 3
____ 47. A group of 2 children and 7 adults pay a total of $140 to take a karate class. A group of 2 children and 5
adults take the same karate class for $120. What is the total cost for 1 child and 1 adult to take the karate
class?
a. $55
b. $10
c. $35
d. $45
9
Name: ________________________
ID: Y
____ 48. For the line y = mx + b , where m > 0 and b < 0, what change would occur if m is multiplied by -1 and b remains
the same?
a. the y-intercept becomes positive
b. the y-intercept becomes negative
c.
d.
the slope would become positive
the slope would become negative
____ 49. The Outboard Motor Company can produce 16 motors in 20 weeks. Assuming a direct variation, how many
motors can the company produce in 10 weeks?
13 motors
b. 18 motors
c.
a.
d.
–2 motors
8 motors
____ 50. The value, V n + 1 , of a particular car is related to the previous year’s value, V n , by the function
V n + 1 = (1 + 0.2) V n . Which statement best describes the change in the car’s value from one year to the next?
a.
b.
c.
d.
The value of the car is increasing by 20%
The value of the car is increasing by 80%
The value of the car is decreasing by 20%
The value of the car is decreasing by 80%
Ê
ˆ
____ 51. What is the greatest common factor of ÁÁÁÁ 35c 7 b 3 + 50c 2 b 5 + 5c 5 b 6 ˜˜˜˜ ?
Ë
a.
7
5c b
6
b.
5
5c b
5
¯
c.
2
5c b
3
6
d.
5c b
d.
2
5
____ 52. Simplify:
Ê
2ˆ Ê
2
2ˆ
2p + ÁÁÁÁ 4p + q ˜˜˜˜ − ÁÁÁÁ 2p − 3q ˜˜˜˜
Ë
¯ Ë
¯
2
2
a.
4p − 4q
b.
2p − 6p − 4q
2
2
2
2
c.
4p + 4q
d.
−2p + 6p + 4q
2
2
____ 53. What is the length of AB ?
a.
2
10
b.
34
c.
26
5
____ 54. On a map of downtown, 12th Street is perpendicular to Avenue J. The equation y = 1 x– 19 represents 12th
2
Street. What is the equation representing Avenue J if it passes through the point ÊÁË −2, 0 ˆ˜¯ ?
a. y = −2x + 1
b. y = −2x – 4
c. y = 1 x – 4
d. y = 1 x + 1
2
2
10
Name: ________________________
ID: Y
____ 55. The matrix below displays prices of pizzas at different shops.
Sal's Alfredo's Romero's John's
ÈÍ
˘˙
Small ÍÍÍÍ $6. 50
$7. 00
$9. 50
$9. 50 ˙˙˙˙
˙˙˙
ÍÍÍÍ
˙
Medium ÍÍÍÍ $9. 50
$9. 50
$10. 75 $10. 75 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
Large ÍÍ $14. 75 $13. 75 $13. 25 $12. 75 ˙˙˙˙
Î
˚
Mrs. Hughes is ordering 7 large pizzas and 5 medium pizzas. Which pizza shop will charge the least for the
order?
a. John's Pizza
b. Sal's
c. Romero's
d. Alfredo's
____ 56. The matrices below display the number of wins, losses, and ties during two seasons.
FirstSeason
Second Season
Wins Losses Ties
Wins Losses
ÈÍÍ
˘˙˙
ÈÍÍ
Í
˙
Í
10
18 ˙˙˙˙
20
Team 1 ÍÍÍÍ 19
Team 1 ÍÍÍÍ 10
ÍÍÍ
˙˙˙
ÍÍÍ
ÍÍÍ
˙˙˙
ÍÍÍ
12
15 ˙˚
10
Team 2 ÍÎ 16
Team 2 ÍÎ 16
What is the total number of wins by Team 2 for these two seasons?
a. 29
b. 22
c. 32
d. 28
Ties
˘˙˙
˙
17 ˙˙˙˙
˙˙˙
˙
13 ˙˙˙˚
____ 57. The matrix below shows women’s real hourly wages for the period of years from 1975 to 1995, based on level
of education.
HighSchool
College
Diploma
Degree
ÍÈ
˙˘
1975 ÍÍÍÍ $8.94
$12.65 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1980 ÍÍÍÍ $9.41
$13.24 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1985 ÍÍ $9.90
$13.80 ˙˙˙˙
ÍÍÍ
˙˙˙
Í
˙
1990 ÍÍÍÍ $10.48 $14.25 ˙˙˙˙
ÍÍÍ
˙˙˙
ÍÍÍ
˙
1995 ÍÍ $11.05 $14.74 ˙˙˙˙
Î
˚
Over the 20-year period, how did the real hourly wages of women with only a high school diploma compare
with the real hourly wages of women with a college degree?
a. high school diploma wages increased, while college degree generally wages decreased.
b. high school diploma wages decreased, while college degree generally wages increased.
c. both groups showed an overall decrease in hourly wages
d. both groups showed an overall increase in hourly wages
11
Name: ________________________
ID: Y
____ 58. The table below shows the costs for visits of different lengths by cleaning companies in a town. The length of
a visit is represented by x, and the cost of a visit is represented by y. Each cleaning company charges a flat
fee for visiting the house or apartment and an hourly rate.
Length of
3
2
4
3.5
5
4.5
5.5
Visit (in
hours)
Cost of
$71
$95
$83
$95
$101
$117
$51
Visit
The equation of the line of best fit for the data is y = 14.95x + 73.69. What does the value of x represent?
a. length of visit
c. flat fee
b. cost of a visit
d. hourly rate
____ 59. An amusement park charges $16 to enter the park and an additional fee for each time a guest rides a roller
coaster. Susan rode 6 times on a roller coaster. Her total payment was $46. Maria rode 10 times on a roller
coaster. What was her total payment?
a. $66
b. $61
c. $56
d. $46
____ 60. Which equation describes the function below?
x
–2
3
4
6
a.
2
y = 3x + 43
b.
y = 4x + 31
c.
y
23
43
71
151
y = 3x + 34
d.
2
y = 4x + 7
____ 61. Carol has three times as many 10-dollar bills as 5-dollar bills. She has a total of $140. How many 10-dollar
bills does Carol have?
4
b.
a.
16
c.
8
d.
12
____ 62. In 2000 Jim planted a tree that was 6 3 feet tall. In 2006 the tree was 39 3 feet tall. Assuming the growth of
4
the tree is linear, what was the rate of growth of the tree?
a. 5 feet per year
c. 33 feet per year
1
b. 33 feet per year
d. 5 1 feet per year
2
2
4
____ 63. The number of cell phones, y (in thousands), from 1985 to 1995 can be modeled using the equation
x
y = 0.572 (1.62) , where x is the number of years after 1985. In what year were there approximately 17
thousand cell phones?
a. 1986
b. 1988
c. 1992
d. 1990
____ 64. Given:
3x − 2y = −5
6x − 5y = −20
What is the value of y?
a. 15
b.
5
c.
12
–5
d.
10
ID: Y
Algebra 1 Released Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
ANS: A
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
STA: 1.02
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: A
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: A
PTS: 1
ANS: C
PTS: 1
ANS: C
PTS: 1
ANS: D
PTS: 1
ANS: A
PTS: 1
ANS: B
Solve for y in the given equation. Then solve for y in each answer
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
1
D
B
C
C
D
A
B
A
B
D
D
A
C
D
A
C
STA:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
2.02
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
DIF:
1
2
STA: 1.02
ID: Y
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
C
C
B
D
A
B
D
C
B
D
D
D
A
C
D
D
B
A
C
D
A
A
D
D
D
C
D
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
STA: 1.02
STA: 2.02
STA: 2.02
2