Name: ________________________ Class: ___________________ Date: __________
Keystone Practice
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Write an equation of the line with the given slope and y-intercept
____
2
1. slope: 7 , y-intercept: –3
a.
y = −7 x – 3
b.
y = 2x – 3
2
7
2
c.
y = 7x + 3
d.
y = 7x – 3
2
Beach Bike Rentals charges $5.00 plus $0.20 per mile to rent a bicycle.
____
2. Write an equation for the total cost C of renting a bicycle and riding for m miles.
a. C = 5 + 0.2m
c. m = 5 + 0.2C
b. C = 0.2 + 5m
d. C = 5 + 2m
____
3. What is the cost of renting a bike and riding 18 miles?
a. $3.60
c. $8.60
b. $41.00
d. $11.60
Write a linear equation in slope-intercept form to model the situation.
____
4. A television repair shop charges $35 plus $20 per hour.
a. C = 20 + 35h
c. C = 25 + 30h
b. h = 35 + 20C
d. C = 35 + 20h
____
5. An icicle is 12 inches long and melts at a rate of
1
4
inch per hour.
a.
L = 12 − 4 t
c.
L = 12 − 4t
b.
L=
d.
t = 12 − 4 L
1
1
4
− 12t
1
____
6. The temperature is 38° and is expected to rise at a rate of 3° per hour.
c. T = 38 − 3h
a. T = 3 + 38h
b. T = 38 + 3h
d. h = 38 + 3T
____
7. A taxi driver charges $5 plus $0.30 per mile.
a. C = 0.3 + 5m
b. C = 5 − 0.3m
c.
d.
1
C = 5 + 0.3m
m = 5 + 0.3C
ID: A
Name: ________________________
ID: A
Mr. Collins is constructing a fence around his property. He already has 25 sections up and plans to add 8
sections each Saturday until he is finished.
____
8. Write an equation to find the total number of fence sections F standing after any number of Saturdays s.
c. F = 25 − 8s
a. F = 25 + 8s
b. F = 8 + 25s
d. s = 25 + 8F
____
9. Find the total number of fence sections standing after 15 Saturdays.
a. 383 sections
c. 145 sections
b. 125 sections
d. 105 sections
Write an equation of the line that passes through each point with the given slope.
____ 10. ÁÊË −3, − 4 ˜ˆ¯ , m = 3
a. y = 3x + 13
b. y = 3x − 5
c.
d.
y = −3x + 5
y = 3x + 5
Write an equation of the line that passes through the pair of points.
____ 11. ÊÁË −5, − 2 ˆ˜¯ , ÊÁË 3, − 1 ˆ˜¯
1
11
a. y = 8 x + 8
b.
1
y = 8x –
11
8
c.
y = −8 x –
d.
y = 8x +
1
1
11
8
8
11
Write the point-slope form of an equation for a line that passes through the point with the given slope.
____ 12. (–6, –6), m = − 7
4
a.
y – 6 = − 7 (x + 6)
c.
y + 6 = 7 (x + 6)
b.
y + 6 = − 7 (x – 6)
d.
y + 6 = − 7 (x + 6)
c.
d.
x–y=2
x – y = 10
4
4
4
4
Write each equation in standard form.
____ 13. y + 6 = (x + 4)
a. x + y = –2
b. y = x – 2
2
____ 14. y + 3 = 5 (x + 9)
2
3
5
a.
2x – 5y = 33
c.
y = 5x +
b.
2x – 5y = –3
d.
2x + 5y = 3
2
Name: ________________________
ID: A
Write the equation in slope-intercept form.
3
____ 15. y – 5 = 4 (x – 5)
a.
y = 4x –
3
5
4
c.
y = −4 x +
b.
y = 4x +
3
5
4
d.
y = 4x –
3
3
5
4
3
5
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to
the graph of the equation.
____ 16. (5, –1), y = − 4 x + 1
3
11
4
3
4
a.
y=
x+
b.
y = 3x +
c.
y = −4 x +
11
4
d.
y = −4 x –
11
4
4
11
5
3
3
Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the
graph of the equation.
____ 17. (4, 4), 2x – y = 4
a. y = 2x + 2
1
b. y = − 2 x + 6
1
c.
y = 2x + 6
d.
y = 4x + 2
____ 18. (2, 2), y = − 5 x + 5
1
a.
y = −5 x – 2
b.
c.
d.
y = 5x – 8
y = −5x – 8
12
1
y= 5 x– 5
1
1
Name: ________________________
ID: A
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there
is a positive or negative correlation, describe its meaning in the situation.
____ 19.
Women in the Army
Year
Source: Time Magazine, March 24, 2003
a.
b.
c.
d.
positive; as time goes on, more women are in the army.
no correlation
negative; as time goes on, fewer women are in the army.
negative; as time goes on, more women are in the army.
____ 20.
Average Cycling Speed
a.
b.
c.
d.
no correlation
negative; as time passes, speed decreases
positive; as time passes, speed increases
positive; as time passes, speed decreases
4
Name: ________________________
ID: A
____ 21.
Video Rental Fines
a.
b.
c.
d.
negative; as the number of videos rented increases, the amount of fine increases.
negative; as the number of videos rented increases, the amount of fine decreases.
no correlation
positive; as the number of videos rented increases, the amount of fine decreases.
____ 22.
People Entering Amusement Park
Time (minutes)
a.
b.
c.
d.
positive; as time passes, the number of people entering decreases.
negative; as time passes, the number of people entering decreases.
no correlation
positive; as time passes, the number of people entering increases.
5
Name: ________________________
ID: A
____ 23.
Strawberries Picked
Time (hours)
a.
b.
c.
d.
positive; as time passes, the number of quarts picked decreases.
negative; as time passes, the number of quarts picked decreases.
no correlation
positive; as time passes, the number of quarts picked increases.
____ 24.
Consumer Price Index, 1950-2002
Year
Source: Bureau of Labor Statistics, U.S. Dept. of Labor
a.
b.
c.
d.
no correlation
positive correlation; as time passes, the CPI increases.
positive correlation; as time passes, the CPI decreases.
negative correlation; as time passes, the CPI decreases.
6
Name: ________________________
ID: A
____ 25.
Sport Utility Vehicle Sales in the U.S.,
1991-2001
Year
Source: The World Almanac, 2003
a.
b.
c.
d.
negative correlation; as time passes, SUV sales decrease.
no correlation
positive correlation; as time passes, the SUV sales decrease.
positive correlation; as time passes, the SUV sales increase.
____ 26.
Cars Passing School
a.
b.
c.
d.
negative; as time passes, the number of cars increases.
negative; as time passes, the number of cars decreases.
no correlation
positive; as time passes, the number of cars decreases.
7
Name: ________________________
Year
Birth Rate
(per 1000)
ID: A
United States Birth Rate
1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
2001
16.7
14.5
16.3
15.9
15.5
15.2
14.8
14.7
14.5
14.6
14.5
14.7
Source: National Center for Health Statistics, U.S. Dept. of Health and Human Services
____ 27. Let x represent the number of years since 1990 with x = 0 representing 1990. Let y represent the birth rate per
1000 population. Write the slope-intercept form of the equation for the line of fit using the points
representing 1992 and 2000.
a. y = −0.15x + 16.2
c. y = −0.15x − 15.6
b. y = 0.15x + 16.2
d. x = −0.15y + 16.2
____ 28. Predict the birthrate in 2005. Round your answer to the nearest tenth, if necessary.
a. 14.5
c. 15.1
b. 13.1
d. 14.0
Domestic Traveler Spending in the U.S., 1987-1999
Year
Source: The World Almanac, 2003
____ 29. Use the scatter plot that shows the domestic traveler spending. Use the points (1987, 235) and (1999, 446) to
write the slope-intercept form of an equation for the line of fit shown in the scatter plot.
a. y = −17.58x − 34,696
c. y = 17.58x − 34,696
b. x = 17.58y − 34,696
d. y = 0.057x − 34,696
____ 30. Use the scatter plot that shows the domestic traveler spending. Predict the amount of spending for domestic
travelers in 2010.
a. about $640,000,000
c. about $640
b. about $460,000,000,000
d. about $640,000,000,000
8
Name: ________________________
ID: A
Strawberries Picked
____ 31. Use the scatter plot that shows the number of quarts of strawberries picked each hour. Use the points (1, 73)
and (8, 41) to write the slope-intercept form of an equation for the line of fit shown in the scatter plot.
c. y = −0.22x + 77.57
a. y = 4.57x + 77.57
b. x = −4.67y − 77.57
d. y = −4.57x + 77.57
____ 32. Use the scatter plot that shows the number of quarts of strawberries picked each hour. Predict the number of
quarts that will be picked in the tenth hour.
a. about 123 quarts
c. about 32 quarts
b. about 45 quarts
d. about 34 quarts
Average Cycling Speed
____ 33. Use the scatter plot that shows the average cycling speed as time passes. Use the points (5, 15) and (25, 10)
to write the slope-intercept form of an equation for the line of fit shown in the scatter plot.
a. y = −0.25x + 16.25
c. y = 0.25x + 16.25
b. x = −0.25y + 16.25
d. y = −3.95x + 16.25
9
Name: ________________________
ID: A
____ 34. Use the scatter plot that shows the average cycling speed as time passes. Predict the speed of the cyclist after
30 minutes.
a. about 6.2 miles per hour
c. about 12.3 miles per hour
b. about 8.8 miles per hour
d. about 10.5 miles per hour
Year
Sales
(millions)
Sport Utility Vehicle Sales in the U.S., 1991-2001
1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001
0.9
1.2
1.4
1.6
1.8
2.2
2.5
2.8
3.0
3.4
3.8
Source: The World Almanac, 2003
____ 35. Let x represent the number of years since 1990. Let y represent the sport utility vehicle sales in millions.
Write the slope-intercept form of the equation for the line of fit using the points representing 1992 and 2000.
a. y = 0.275x + 0.65
c. y = 0.275x − 1.75
b. y = − 0.275x + 0.65
d. x = 0.275y + 0.65
____ 36. Predict the number of sport utility vehicle sales in 2005.
a. about 3.5 million
c. about 2.4 million
b. about 4.8 million
d. about 5.9 million
Use the graph below to determine the number of solutions the system has.
____ 37. x = 4
y = x+3
a. no solution
b. one
c.
d.
10
two
infinitely many
Name: ________________________
ID: A
____ 38. 2x = 2y − 6
y = x+3
a. no solution
b. one
c.
d.
two
infinitely many
c.
d.
two
infinitely many
____ 39. 2x = 2y − 6
y = −x − 1
a. no solution
b. one
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely
many solutions. If the system has one solution, name it.
____ 40. y = −x + 5
y = 6x − 2
a. no solution
c.
infinitely many
b.
d.
one solution; (1, 4)
one solution; (4, 1)
11
Name: ________________________
ID: A
Use substitution to solve the system of equations.
____ 41. y = x + 1
8x − 4y = 0
a. (1, 2)
b. (0, 1)
c.
d.
(2, 1)
(–1, 0)
c.
d.
(–9, 0)
(–3, 2)
____ 42. −9 = x − 3y
−2x + 6 = 6y
a. (3, 4)
b. infinitely many solutions
____ 43. The length of a rectangular poster is 10 inches longer than the width. If the perimeter of the poster is 124
inches, what is the width?
a. 16 inches
c. 28.5 inches
b. 26 inches
d. 36 inches
____ 44. The sum of two numbers is 90. Their difference is 12. What are the numbers?
a. no solution
c. 35 and 47
b. 31 and 59
d. 39 and 51
____ 45. At a local electronics store, CDs were on sale. Some were priced at $14.00 and some at $12.00. Sabrina
bought 9 CDs and spent a total of $114.00. How many $12.00 CDs did she purchase?
a. 9
c. 5
b. 6
d. 3
____ 46. Jordan is 3 years less than twice the age of his cousin. If their ages total 48, how old is Jordan?
a. 15
c. 31
b. 12
d. 17
____ 47. Dakota’s math test grade was 7 points less than his science test grade. The sum of the grades was 183%.
What did Dakota get on his math test?
a. 83%
c. 93%
b. 88%
d. 95%
____ 48. Reid and Maria both play soccer. This season, Reid scored 4 less than twice the number of goals that Maria
scored. The difference in the number of goals they scored was 6. How many goals did each of them score?
a. Reid scored 8 and Maria scored 2.
b. Reid scored 2 and Maria scored 8.
c. Reid scored 16 and Maria scored 10.
d. Reid scored 10 and Maria scored 16.
12
Name: ________________________
ID: A
____ 49. Mrs. Davis went to a produce market to buy bananas and strawberries. She spent $8.00. If the bananas were
$0.50 per pound, and the strawberries were 4 times that much, how many pounds of bananas did she buy if
she bought 7 pounds of fruit altogether?
a. 16 pounds
c. 4 pounds
b. 5 pounds
d. 3 pounds
____ 50. One line segment is 5 cm more than 4 times the length of another. The difference in their lengths is 35 cm.
How long are they?
a. 10 cm and 40 cm
c. 20 cm and 45 cm
b. 20 cm and 55 cm
d. 10 cm and 45 cm
Use elimination to solve the system of equations.
____ 51. −2x − 10y = 10
−3x + 10y = −10
a. (0, 1)
b. (20, 5)
c.
d.
(–20, –5)
(0, –1)
c.
d.
(–1, –1)
(2, –3)
c.
d.
(–1, 0)
(1, 0)
c.
d.
(–3, –9)
(3, 9)
c.
d.
(7, –8)
(–1, 1)
____ 52. −4x + 2y = −2
4x + 6y = 10
a. (–2, 3)
b. (1, 1)
____ 53. −8x + 8y = −8
−8x + 4y = 8
a. (–3, –4)
b. (3, 4)
____ 54. 5x − 2y = −3
4x − 2y = −6
a. (–1, 1)
b. (1, –1)
____ 55. −3x − 2y = −5
7x + 6y = 1
a. (–8, 7)
b. (1, –1)
13
Name: ________________________
ID: A
____ 56. The cost of 3 large candles and 5 small candles is $6.40. The cost of 4 large candles and 6 small candles is
$7.50. Which pair of equations can be used to determine, t, the cost of a large candle, and s, the cost of a
small candle?
c. 3t + 5s = 6.4
a. 3t + 5s = 6.4
b.
4t + 6s = 7.5
t + s = 6.4
d.
4t + 6s = 7.5
t + s = 7.5
5t + 3s = 6.4
6t + 4s = 7.5
____ 57. Isaac downloaded 7 ringtones. Each polyphonic ringtone costs $3.25, and each standard ringtone costs $1.50.
If he spends a total of $21 on ringtones, find the number of polyphonic and standard ringtones he
downloaded.
a. 1 polyphonic, 6 standard
c. 6 polyphonic, 13 standard
b. 8 polyphonic, 1 standard
d. 6 polyphonic, 1 standard
____ 58. Christie has a total of 15 pieces of fruit, all bananas and apples, worth $1.59. Bananas are 13 cents each and
apples are 7 cents each. How many bananas and how many apples does she have?
a. 6 bananas, 9 apples
c. 9 bananas, 24 apples
b. 9 bananas, 6 apples
d. 21 bananas, 6 apples
____ 59. The admission fee of a theater is $2.50 for adults and $1.25 for children. On a certain day, 700 people went
to the theater for a concert and $1375 was collected. How many children and how many adults attended the
concert?
a. 300 adults, 400 children
c. 400 adults, 300 children
b. 400 adults, 1100 children
d. 600 adults, 100 children
____ 60. A hotel has 150 rooms. The charges for a double room and a single room are $270 per night and $150 per
night respectively. On a night when the hotel was completely occupied, revenues were $33,300. Which pair
of equations can be used to determine the number of double room, d, and the number of single room, s, in the
hotel?
c. d + s = 150
a. d + s = 150
b.
270s + 150d = 33,300
d + s = 33,300
d.
270d + 150s = 150
270d + 150s = 33,300
d + s = 33,300
270d + 150s = 33,300
Determine the best method to solve the system of equations. Then solve the system.
____ 61. x = 2y − 1
3x − 3y = 9
a. substitution; (7,4)
b. elimination using multiplication; (3,2)
c. substitution; (4,7)
d. elimination using multiplication; (−21,−10)
14
Name: ________________________
ID: A
____ 62. −5x + 3y = −18
2x + 2y = 4
a. elimination using addition; (−1,3)
b. elimination using multiplication; (1,1)
c. elimination using multiplication; (3, − 1)
d. elimination using subtraction; (−3,1)
____ 63. x = −y
5x + 6y = −3
a.
b.
Ê 3 3 ˆ
substitution; ÁÁÁ − 11 , 11 ˜˜˜
Ë
¯
elimination using addition; (6, 5)
c.
substitution; (−3, 3)
d.
substitution; (3, − 3)
____ 64. 2x − 5y = 8
3x − 11y = −2
a. elimination using addition; (−1, − 2)
Ê
b. elimination using multiplication; ÁÁÁ −8, −
Ë
c. elimination using multiplication; (14, 4)
d. elimination using subtraction; (−1, 6)
24
5
ˆ˜
˜˜
¯
____ 65. −4x + 5y = 9
4x − 5y = −7
a. elimination using subtraction; (−2, 2)
b. elimination using addition; no solution
c. substitution; (7, 7)
d. elimination using addition; (0,16)
____ 66.
1
4
x+ 4 y =1
3
2x + 6y = 8
a. substitution; (4,0)
b. elimination using multiplication; no solution
Ê 1
3ˆ
c. substitution; ÁÁÁ − 4 , − 4 ˜˜˜
Ë
¯
d. elimination using multiplication; infinitely many solutions
____ 67. The sum of Jack and his father’s ages is 52. Jack’s father’s age is 2 less than 5 times Jack’s age. Find the ages
of Jack and his father.
a. 10, 42
c. 9, 61
b. 9, 43
d. 9, 45
15
Name: ________________________
ID: A
____ 68. Dylan has 15 marbles. Some are red and some are white. The number of red marbles is three more than six
times the number of the white marbles. Write a system of equations that can be used to find the number of
white marbles, x, and the number of red marbles, y.
c. x − y = 15
a. x + y = 15
b.
y = 6x + 3
x + y = 15
d.
y = 6x − 3
y = 6x + 3
6x + y = 15
y = 6x + 3
____ 69. Amber and Austin were driving the same route from college to their home town. Amber left 2 hours before
Austin. Amber drove at an average speed of 55 mph, and Austin averaged 75 mph per hour. After how many
hours did Austin catch up with Amber?
a. 10 h
c. 5.5 h
b. 7.5 h
d. 2 h
____ 70. A gym has 2 kg and 5 kg weights. There are 10 disks in all. The total weight of 2 kg disks and 5 kg disks is
equal to 29 kg. Find the number of disks of each kind in the gym.
a. 5 kg disk: 17; 2 kg disk: 7
c. 5 kg disk: 3; 2 kg disk: 13
b. 5 kg disk: 3; 2 kg disk: 7
d. 5 kg disk: 7; 2 kg disk: 3
____ 71. Sam’s test score is 12.5 more than Nicole’s score. The sum of twice Sam’s score and three times Nicole’s
score is 195. What are Sam and Nicole’s test scores?
a. Sam’s score: 46.5; Nicole’s score: 59
b. Sam’s score: 21.5; Nicole’s score: 34
c. Sam’s score: 34; Nicole’s score: 46.5
d. Sam’s score: 46.5; Nicole’s score: 34
16
Name: ________________________
ID: A
Solve the system of inequalities by graphing.
____ 72. y ≤ −x + 4
y > −2x − 4
a.
c.
b.
d.
17
Name: ________________________
ID: A
____ 73. y ≥ −x − 4
y < −4
a.
c.
b.
d.
18
Name: ________________________
ID: A
A business is adding a new parking lot. The length must be at least twice the width, and the perimeter must
be under 800 feet.
____ 74. Make a graph showing the possible values of the length and width of the parking lot.
c.
a.
b.
d.
The sum of two positive integers is less than 80 and their difference is more than 10.
____ 75. Write a system of inequalities to represent this situation.
a. x + y ≤ 80
c. x + y < 80
b.
x − y ≥ 10
y < x + 80
d.
y > x − 10
x − y > 10
x + y > 80
x − 10 < y
____ 76. List three pairs of integers which are solutions.
a. 50 and 30, 40 and 35, 45 and 30
c.
b. 50 and 24, 35 and 21, 18 and 2
d.
19
60 and 5, 44 and 34, 35 and 30
60 and 20, 45 and 35, 36 and 22
Name: ________________________
ID: A
A student can buy notebooks for $0.40 each and pens for $0.25 each. Ben needs to have at least 8 notebooks.
He has a total of $5.00 to spend.
____ 77. Make a graph showing the number of notebooks and pens Ben can purchase.
c.
a.
b.
d.
____ 78. Write a system of inequalities to show how many notebooks and pens Ben can buy.
a. n + p ≥ 8
c. 0.40n ≥ 8
b.
0.40n + 0.25p > 5.00
0.40n ≥ 8
d.
n + p ≤ 5.00
.040n + 0.25p ≤ 5.00
n≥8
0.40n + 0.25p ≤ 5.00
____ 79. The difference between Rosa’s age and her father’s age is less than 35. Rosa’s father is more than three times
her age. Which of the following are possible ages for Rosa and her father?
a. 5 and 40
c. 10 and 30
b. 7 and 28
d. 14 and 38
20
Name: ________________________
ID: A
The Washington family is hosting a cookout. They decide to serve chicken and pork. They determine that they
will need at most 20 pounds of meat, and they want to have at least twice as much chicken as pork.
____ 80. Write a system of inequalities for this situation.
a. c + 2p ≤ 20
c.
b.
c ≥ 2p
c + p ≤ 20
d.
2c > p
20 < c + p
2c > p
c + p ≤ 20
c ≥ 2p
____ 81. Make a graph showing the amount of each type of meat that satisfies the requirements.
a.
c.
b.
d.
____ 82. Brittany and Kaitlyn are on the swim team. At practice, they swim less than 30 laps between the two of them,
and Brittany swims at least 3 more laps than Kaitlyn. List two pairs of numbers that are solutions to this
system of inequalities.
a. 13 and 17; 15 and 18
c. 12 and 16; 13 and 17
b. 10 and 12; 12 and 15
d. 11 and 15; 13 and 16
21
Name: ________________________
ID: A
Find the mean. Round to the nearest tenth.
____ 83. {20, 21, 23, 26, 38, 39}
a.
b.
27.8
26.3
c.
d.
22.9
32.7
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each
probability.
____ 84. Drawing a red chip, replacing it, then drawing a blue chip
42
13
a. 625
c. 50
b.
7
100
d.
13
49
____ 85. drawing a red chip, not replacing it, then drawing a blue chip
42
13
a. 625
c. 50
d.
13
49
____ 86. selecting three green chips without replacement
21
a. 575
c.
8
25
b.
b.
7
100
729
15625
____ 87. selecting three green chips with replacement
21
a. 575
b.
729
15625
d.
64
1725
c.
8
25
d.
64
1725
____ 88. choosing a red chip, then a green chip, then a yellow chip, with replacement
19
189
a. 25
c. 15625
b.
19
72
d.
63
4600
____ 89. choosing a red chip, then a green chip, then a yellow chip, without replacement
19
189
a. 25
c. 15625
b.
19
72
____ 90. selecting two blue chips with replacement
6
a. 125
b.
36
625
d.
63
4600
c.
6
25
d.
11
29
22
Name: ________________________
____ 91. selecting two blue chips without replacement
1
a. 20
b.
36
125
ID: A
c.
6
25
d.
11
29
____ 92. drawing a yellow chip, replacing it and choosing a blue chip.
3
9
a. 100
c. 625
b.
3
200
d.
18
625
____ 93. drawing a yellow chip, not replacing it and choosing a blue chip.
3
9
a. 100
c. 625
b.
3
200
d.
18
625
A standard deck of cards contains 52 cards divided evenly into four suits. The suits are hearts and diamonds
which are red and clubs and spades which are black. Each suit is composed of cards numbered two through
ten and a jack, queen, king, and ace.
____ 94. What is the probability of selecting a spade or a club from a standard deck of cards?
1
1
a. 52
c. 4
b.
1
26
d.
1
2
____ 95. What is the probability of selecting a heart or ace from a standard deck of cards?
1
4
c. 13
a. 13
b.
1
4
d.
17
52
____ 96. What is the probability of selecting a king or queen?
1
1
a. 13
c. 52
b.
2
13
d.
23
1
26
Name: ________________________
ID: A
The table lists the number of male and female students at Lakeside High School.
Lakeside High School Students
Grade
Male
Female
9th
216
193
10th
207
214
11th
198
197
12th
194
201
____ 97. What is the probability of selecting a ninth or tenth grade student?
83
407
a. 162
c. 805
b.
423
815
d.
47
180
____ 98. What is the probability of selecting a female student?
1
a. 2
c. 1
b.
161
324
d.
161
163
A coin is tossed and a spinner shown below is spun. Find each probability.
____ 99. P (head and 2 )
a.
1
8
c.
1
2
b.
1
16
d.
5
8
____ 100. P (tail and 3 )
a.
1
16
c.
5
8
b.
1
2
d.
1
8
____ 101. P (tail and an odd number )
a.
4
c.
1
4
b.
1
d.
1
2
24
Name: ________________________
____ 102. P ÁÊË head and a multiple of 2 ˜ˆ¯
1
a. 2
1
4
b.
____ 103. P ÊÁË tail and 1, 3, or 5 ˆ˜¯
3
a. 16
1
2
b.
ID: A
c.
1
d.
4
c.
3
8
d.
7
8
Find the experimental probability.
____ 104. John thinks he can make 50% of the three-point shots he takes in a basketball game. He tested this by taking
47 three-point shots in practice. He made 23 of them.
a.
b.
52%
51%
c.
d.
46%
49%
____ 105.
Heads
Tails
33
46
What is the experimental probability of getting heads?
a.
b.
33%
46%
c.
d.
42%
39%
Short Answer
106. Cindy started her bank account with $400, and she deposited $50 per week. Write a linear equation in
slope-intercept form to find the total amount in her account after w weeks. Then graph the equation.
107. The cost of admission to an amusement park is $9.50 plus $1.50 per ride. Write a linear equation in
slope-intercept form for the amount spent if r rides are taken.
108. Anthony is reading a book with 256 pages. He reads 14 pages every day. Write a linear equation in
slope-intercept form to find the number of pages left after d days.
109. The monthly telephone bill consists of $24 service charge plus $1.20 per call. Write an equation in
slope-intercept form for the total monthly bill if x represents the number of calls made in a month. Then
graph the equation.
25
Name: ________________________
ID: A
110. The cost, C, of joining the sports center gym includes an initial membership fee of $139 plus a $29 monthly
fee. Write an equation in slope-intercept form to find the total cost for m months. Then graph the equation.
111. The table of ordered pairs shows the coordinates of the two points on the graph of a line.
x
0
4
y
6
10
Write an equation that describes the line.
112. Write an equation and describe the slope for the line that passes through ÊÁË 9, 22 ˆ˜¯ and ÊÁË 15, 36 ˆ˜¯ .
113. In 1992, about 12.5 million people were using broadband internet services. In 1999, the number was 17.4
million. Write a linear equation to predict the number of people, P, who will be using broadband internet
services in year t.
ÊÁ 1 2 ˆ˜
ÊÁ 3 7 ˆ˜
114. Write an equation for the line that passes through ÁÁÁÁ , ˜˜˜˜ and ÁÁÁ , ˜˜˜˜ . What is the slope?
ÁË 4 5 ¯
Ë 4 5¯
115. A company manufactured 324,000 computers in 2002. The company’s output grows by 5,000 units per year.
Year
2002
2003
2004
Production (thousands)
324
329
334
Write a linear equation to find the company’s production, P, in year, t.
116. Write the point-slope form, slope-intercept form, and standard form of an equation for a line that passes
through ÊÁË −1, 2 ˆ˜¯ with slope 4.
117. Write the point-slope form, slope-intercept form, and standard form of an equation for a line that passes
through ÁÊË 5, 7 ˜ˆ¯ with slope –9.
118. Write the point-slope form, slope-intercept form, and standard form of an equation for a line that passes
ÊÁ 1 2 ˆ˜
3
through ÁÁÁÁ , ˜˜˜˜ with slope .
3
5
8
Ë
¯
26
Name: ________________________
ID: A
ÁÊ 1
3 ˜ˆ
119. Line l passes through ÁÁÁÁ , – ˜˜˜˜ with slope 5. Write the point-slope form, slope-intercept form, and standard
7¯
Ë5
form of an equation for line l.
ÊÁ 2
4 ˆ˜
1
120. A line passes through ÁÁÁÁ − , – ˜˜˜˜ with slope . Write the point-slope form, slope-intercept form, and
5¯
5
Ë 9
standard form of an equation for line l.
121. Determine whether y = 4x + 5 and y =
1
x − 2 are perpendicular. Explain.
4
122. Write an equation of the line that is parallel to the graph of y = −4x + 2 and passes through ÊÁË 2, –4 ˆ˜¯ .
123. Find an equation for the line that has an x-intercept of 3 and is perpendicular to the graph of −2x + 5y = 6.
124. Write the slope-intercept form of an equation for the line that passes through ÊÁË −3, –2 ˆ˜¯ and is perpendicular
2
to the graph of the equation y = x + 3 .
5
The table shows the age of infants, t (in weeks), and the number of hours, h, they slept in a day.
Age (weeks)
Sleep (h)
3
5
8
9
11
13
15
18
19
21
15.2
14.8
14.3
14.8
14.5
13.9
13.4
13.2
13.7
13.2
125. Draw a scatter plot and determine what relationship exists, if any, in the data.
126. Suppose a child is 2 years old. Would the equation for the line of fit give a reasonable estimate of the number
of hours slept in a day by a child of that age? Explain. (1 year = 52 weeks)
127. The table below shows Alex’s best time for the 200-m sprint each year.
Year
1989
1990
1991
1992
1993
1994
1995
1996
Time (s)
29.95
30.40
32.10
32.05
31.75
32.95
33.40
35.60
Draw a scatter plot and determine what relationship, if any, exists in the data.
27
Name: ________________________
ID: A
128. The graph below shows the relationship between a long-distance truck driver’s driving times and the number
of miles traveled.
Is it reasonable to use the equation for line of fit to estimate the distance traveled for a driving time of 10
hours? Explain.
129. The table below shows the time in hours an investor spent researching the stock market each week and the
percent gain on investments.
Time (h)
6
8
10
12
14
16
18
20
Gain (%)
23
35
36
41
44
55
47
45
Make a scatter plot and draw a line of fit for the data.
130.
Year
Sales ($1,000)
2001
253
2002
242
2003
265
2004
270
2005
269
2006
275
Write an equation of the regression line in the form of y = ax + b . Estimate the sales for 2010.
131.
Game
Score
1
85
2
82
3
83
4
80
5
78
6
75
Write an equation of the best-fit line in the form of y = ax + b . Estimate the score for the 15th game.
28
Name: ________________________
ID: A
132.
Year
Height (ft)
1
4
2
10
3
15
4
27
5
51
6
60
Write an equation of the regression line in the form of y = ax + b . Estimate the height when the tree is 8
years old.
133.
Month
Units Produced
1
275
2
400
3
612
4
867
5
1,020
6
1,465
Write an equation of the best-fit line in the form of y = ax + b . Name the correlation coefficient. Round to
the nearest ten-thousandth.
134. The graph below shows the annual increase in salaries of employees A and B.
If the pattern continues, will the annual salary of the two employees ever be equal? Explain.
29
Name: ________________________
ID: A
135. The graph below shows the charges for the two car rental companies.
If the pattern continues, will the rental fees for the two companies ever be equal? Explain.
136. The table below shows the number of users of broadband and dial-up Internet and the average annual
increase of users for each.
Connection type
Number of users (millions)
Average increase per year (millions)
Broadband
8.2
2.5
Dial-Up
11.6
1.4
Graph the equations representing the number of broadband and dial-up users for any year. Estimate the
solution and interpret what it means.
137. Anne planted two varieties of plants. Variety A was 14 inches tall when planted and grows 8 inches per day.
Variety B was 30 inches tall when planted and grows 2 inches per day. Graph the equations that represent the
height of the two varieties at any day. Assume that the rate of growth of each of the varieties remained the
same. Estimate the solution and interpret what it means.
138. Sally and her sister, Laura, started their savings accounts with $250 and $300 respectively. Sally deposits $35
each week. Laura deposits $20 each week. Graph the equations representing the amount in their accounts.
Estimate the solution and interpret what it means.
139. How many grams of pure silver and how many grams of an alloy that is 65% silver should be melted together
to produce 56g of an alloy that is 80% silver?
140. Two trains A and B are 240 miles apart. Both start at the same time and travel toward each other. They meet 3
hours later. The speed of train A is 20 miles faster than train B. Find the speed of each train.
30
Name: ________________________
ID: A
141. The perimeter of the triangle is 61 inches. If two sides of the triangle are equal and the third side is 4 inches
more than the equal sides, what is the length of the third side?
142. Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind
did he receive?
143. When Katie was visiting her Grandpa’s farm, she saw the farm only raised hens and pigs. Katie counted 32
heads and 100 feet in the barnyard. How many hens and pigs were there in the barnyard?
144. The sum of two numbers is 54, and their difference is 26. What are the numbers?
145. Five times one number added to another number is 32. Three times the first number minus the other number
is 8. Find the numbers.
146. To fill two new aquariums, Laura bought some saltwater fish for $2 each and some freshwater fish for $1
each. If she bought a total of 15 fish and spent a total of $23, how many fish of each kind did she buy?
147. Jack has 20 more stamps than Dylan has. Together they have 46 stamps. Find the number of stamps each has.
148. The table below shows the sales of two companies for the year 2000 and the targeted sales after 10 years.
Company
Sales in 2000 (millions of dollars)
Sales target for 2010 (millions of dollars)
A
2.45
3.05
B
3.15
3.55
Let x represents the number of years since 2000 and y represents sales in millions of dollars. Write the system
of equations to represent the sales of two companies. Then use elimination to find the solution and interpret
the solution.
149. Six times a number plus five times another number equals 56. The sum of the two numbers is 10. What are
the numbers?
150. The sum of the digits of a two-digit number is 8. If the digits are reversed, the new number is 10 more than
twice the original number. Find the original number.
151. The graphs of 2x + 3y = 5 and 3x + y = 18 contain two of the sides of a triangle. A vertex of the triangle is at
the intersection of the graphs. What are the coordinates of the vertex?
152. A boat travels 33 miles downstream in 4 hours. The return trip takes the boat 7 hours. Find the speed of the
boat in still water.
31
Name: ________________________
ID: A
153. A store placed two orders with a supplier. The first order was for 12 digital cameras and 8 camcorders for a
total of $7640. The second order was for 9 digital cameras and 11 camcorders for a total of $8330. Find the
price of a digital camera and a camcorder.
154. Emily has a total of 20 dimes and nickels. If the dimes were nickels and nickels were dimes she would have
20 cents less than she has now. How many of each coin does she have?
155. It takes 8 turkeys and 12 chickens 10 hours to eat a certain amount of grain, while it takes 6 turkeys and 8
chickens 14 hours to eat the same amount of grain. Find the time it would take 1 turkey alone and 1 chicken
alone to eat the same amount of grain.
156. Mary wants to fill a swimming pool that holds 15,000 gallons of water. If she fills from a large hose for 3
hours and a small hose for 8 hours, she can fill half the pool. The pool is completely filled if she uses both
hoses together for 10 hours. How long will it take to fill the pool using each hose by itself?
157. If the length of the given rectangle is increased by 3 inches and breadth is reduced by 4 inches, then the area
is reduced by 67 square inches. If the length is reduced by 1 inch and the breadth is increased by 4 inches,
then the area is increased by 89 square inches. Find the length and the breadth of the rectangle.
158. Daniel’s age is 7 more than three times his daughter Lucy’s age. The difference between twice Daniel’s age
and five times Lucy’s age is 24. Find the ages of Daniel and Lucy.
Use the table below that shows last week’s sales of polo shirts at a local department store.
Color
White
Blue
Green
Small
8
12
17
Medium
18
10
6
Large
15
20
32
X-Large
18
14
18
159. Suppose the department store expects a 15% increase in sales of polo shirts this week. What value of the
scalar p should be used so that pN results in a matrix that estimates the number of each size and color polo
shirts needed this week?
160. Patrick has $105 to spend on gifts. He must buy at least 8 gifts. He plans to buy storybooks that cost $8 or
$12. How many of each book can he buy?
A radio station is giving away tickets to a play. They plan to give away tickets to seats that cost $10 or $20.
They plan to give away at least 20 tickets, and the total cost of all the tickets can be no more than $300.
161. Make a graph showing how many tickets of each kind can be given away.
162. Write two ways of giving away the tickets keeping the restrictions in mind.
32
Name: ________________________
ID: A
Suppose a car dealer receives a profit of $500 for each mid-sized car m sold and $750 for each sport-utility
vehicle s sold. The dealer must sell at least two mid-sized cars for each sport-utility vehicle and must earn at
least $3500 per week.
163. Write a system of inequalities and make a graph representing the situation.
164. Suppose a car dealer sells 2 sport-utility vehicles. How many mid-sized cars must be sold to earn at least
$3500?
Describe an unbiased way to conduct a survey based on the information given.
165. Assume you are a teacher. How can you tell whether students in your class are fully concentrating on the
lesson?
166. How can a company sample the opinion of its employee regarding the personnel development training?
167. How would you determine the iron levels of tap water in homes in your neighborhood?
Identify a sample and state whether it is unbiased or biased. If unbiased, describe a biased way. If biased,
describe an unbiased way.
168. A farmer tests every tenth grape tree of each row to see whether the grapes are ready to harvest.
169. A physics teacher checks readings taken by any two students in the class to ensure that each student is taking
the readings correctly.
170. The height (in meters) of the basketball players on an Olympic team were: {2.1, 1.75, 1.6, 2.2, 1.8, 1.95,
1.85, 2, 1.65, 2}. Which measure of central tendency best represents the data? Justify your answer and find
the measure.
171. The test scores of the students in drivers education were: {95, 90, 95, 95, 95, 90, 95, 95, 95}. Which measure
of central tendency best represents the data? Justify your answer and find the measure.
172. A music teacher plans to pick 3 students out of 15 students in his music school for a music concert. How
many different groups can be formed?
In an essay writing competition there are 12 participants, of those 5 are girls and the remaining are boys.
173. If all 12 participants have equal chance of placing, what is the probability that the winner is a girl and the
first runner-up is a boy?
33
Name: ________________________
ID: A
174. In a shelf of a library there are 5 essay-writing books, 6 letter-writing books, and 3 essay- and letter-writing
books. Ayita picks a book at random. What is the probability that she picks an essay-writing book or a
letter-writing book?
175. On a survey it was found that out of 1500 people, 800 people said that they go to bed early at night, 600
people said that they go to bed late at night, and 300 people said that they sometimes go to bed early and
sometimes go to bed late. What is the probability that a randomly selected member would go to bed early or
late at night?
The spinner shown is spun three times.
176. Write the sample space with all possible outcomes.
177. Find the probability distribution X, where X represents the number of times the spinner lands on black for
X = 0, X = 1, X = 2, and X = 3.
178. Find the probability distribution Y, where Y represents the number of times the spinner lands on gray for
Y = 0, Y = 1, Y = 2, and Y = 3.
179. Make a probability histogram for the number of times the spinner lands on gray.
180. Make a probability histogram for the number of times the spinner lands on black.
181. Do all possible outcomes have an equal chance of occurring? Explain.
A video store clerk takes an inventory of the top 10 DVDs sold each week. The clerk created a probability
distribution table.
Number of Top 10 DVDs
Sold Each Week
Probability
0-25
26-50
51-75
76-100
101-125
0.05
0.30
0.40
0.15
0.10
182. Define a random variable and list its values.
34
Name: ________________________
ID: A
183. Show that this is a valid probability distribution.
184. In a given week, what is the probability that no more than 50 DVDs are sold?
The table shows the probability distribution of the number of persons in owner-occupied housing.
X = Number of Persons
in Household
1-person
2-person
3-person
4-person
5-person
6-person
7-or-more person
Probability
0.203
0.356
0.171
0.157
0.072
0.025
0.016
Source: U.S. Census Bureau
185. If a person was randomly selected, what is the probability that he or she lives in a household with four or
fewer persons?
186. If a person was randomly selected, what is the probability that he or she lives in a household with five or
more persons?
187. If a person was randomly selected, what is the probability that he or she lives in a household with three or
fewer persons?
188. If a person was randomly selected, what is the probability that he or she lives in a household with two or
more persons?
The table shows the probability distribution of the method of transportation workers 16 and over use to
commute to work.
X = Method of Transportation
car, truck, or van - drove alone
car, truck, or van - carpooled
public transportation
walked
other means
worked at home
Probability
0.757
0.122
0.047
0.029
0.012
0.033
Source: U.S. Census Bureau
189. If a person was randomly selected, what is the probability that he or she took a car, truck, or van to work?
35
Name: ________________________
ID: A
190. If a person was randomly selected, what is the probability that he or she walked to work or worked at home?
191. If a person was randomly selected, what is the probability that he or she carpooled or used public
transportation?
Use the table below that shows the typing speed of the people in a community.
Typing Speed (wpm)
10-30
31-50
51-70
71-90
Probability
0.391
0.280
0.190
0.139
192. Is this a valid probability distribution? Justify your answer.
193. If a person is randomly selected, what is the probability that his typing speed is more than 50 wpm?
194. If a person is randomly selected, what is the probability that his typing speed is at most 70 wpm?
Use the graph that shows the gadgets used frequently.
195. Based on the graph, in a group of 59 people, how many would you expect to say they use digital cameras?
196. Determine whether this is a valid probability distribution. Justify your answer.
36
Name: ________________________
ID: A
Crazy Cars randomly called households to determine the types of vehicles owned by residents of Claretown.
The results of the survey are shown in the table.
X = Type of Vehicle
compact car
sedan
SUV
truck
Number Owned
107
357
241
295
197. Find the experimental probability distribution for the number of each type of vehicle.
198. Based on the survey, what is the probability that a household chosen at random owns a compact car or sedan?
199. Based on the survey, what is the probability that a household chosen at random owns SUV or truck?
200. Based on the survey, what is the probability that a household chosen at random owns a sedan or SUV?
201. Based on the survey, what is the probability that a household chosen at random owns a compact car or SUV?
202. Based on the survey, what is the probability that a household chosen at random owns a compact car or truck?
203. Suppose Crazy Cars wants to order 210 more vehicles. Of those vehicles ordered, how many should be
compact cars?
204. Suppose Crazy Cars wants to order 175 more vehicles. Of those vehicles ordered, how many should be
SUVs?
205. What could you use to simulate the outcome of guessing on a multiple-choice test with choices A, B, C, or
D?
The Dairy Stop is randomly giving samples of six flavors of ice cream.
206. What object could be used to model the possible outcomes of this situation?
207. How could you use a simulation to model the distribution of the next 50 samples?
There are six bottles of grape juice, four bottles of orange juice, and two bottles of cranberry juice.
208. What could be used for a simulation determining the probability of randomly picking any one type of fruit
juice?
37
Name: ________________________
ID: A
209. What is the probability of choosing a grape juice bottle? Is your answer the theoretical or experimental
probability? Explain.
210. Corey is randomly giving pizza samples to each shopper at Wilson’s Supermarket. He has cheese, pepperoni,
sausage, or supreme pizza samples. What could be used to perform a simulation of this situation?
Amanda’s cat is expecting a litter of four kittens.
211. What is the theoretical probability of having four female kittens?
212. What objects could be used to perform a simulation of this situation?
213. Justin shot 25 free throws in practice and found that his experimental probability making a free throw was
60%. How many free throws did Justin make?
A medical team sent surveys to randomly selected households to determine the various health problems. The
result of the survey is shown below.
Health Problems
Obesity
Diabetes
Heart problems
Eye problems
Dental problems
Number of Patients
32
54
78
112
96
Note: The survey result for each health problem is mutually exclusive.
214. Find the experimental probability distribution for the number of people having problem of each type.
215. Based on the survey, what is the probability that a person chosen at random is a diabetic patient or an eye
patient?
216. Frances thinks she will make 60% of her serves in an upcoming tennis tournament. To test this she hit 50
serves from both sides of the court. She made 33 of the first 50 and 29 from the second. What is experimental
probability that Frances will make her first serve?
217. Gloria performed a simulation by drawing a card from a standard deck. She replaced the card before she drew
again. Find the experimental probability of drawing a red suit.
Suit
Frequency
Heart
6
Spade
11
Diamond
9
38
Club
14
Name: ________________________
ID: A
218. A manager of a light bulb plant randomly selected 50 light bulbs to test the failure rate. He performed the test
3 different times. Find the experimental probability of a light bulb failing. Round to the nearest tenth.
Test
Success
Failure
1
48
2
2
49
1
3
46
4
219. Karl rolled a die 50 times. He rolled an even number 29 times. Find the experimental probability of rolling an
odd number.
220. A weather man said that there was a 30% chance of rain on Saturday. Jimmy modeled this by placing 3 red
and 7 green marbles in a bag. He then chose a marble and recorded the color. He replaced the marble each
time before choosing again. He chose 13 red and 34 green marbles. Find the experimental probability of it
raining on Saturday. Round to the nearest percent.
Essay
221. A musician’s fan club had 35,000 members in 1999 and grew to 99,000 members by 2004.
Fan club membership
a. Explain how the slope-intercept form can be used to predict the number of members in 2007.
b. Discuss how slope-intercept form is used in linear extrapolation.
39
Name: ________________________
ID: A
222. Megan wants to change her Internet Service Provider. She is considering three different plans.
Plan 1 charges a $15 monthly fee plus $0.08 per minute of use.
Plan 2 charges a $5 monthly fee plus $0.11 per minute of use.
Plan 3 charges a flat monthly fee of $49.95.
a. For each plan, write an equation that represents the monthly cost C for m minutes per month.
b. Graph each of the three equations on the same coordinate axes. Label each line.
c. Megan expects to use 500 minutes per month. In which plan do you think Megan should enroll? Explain.
223. a. Illustrate how you can determine whether two lines are parallel or perpendicular.
b. Are the two lines graphed below parallel? Explain.
c. Write an equation with a graph perpendicular to the lines graphed. Explain.
224.
Average Hourly Earnings (dollars) of U.S. Production Workers, 1991-2001
Year
Earnings
1991
10.32
1992
10.57
1993
10.83
1994
11.12
1995
11.43
1996
11.82
1997
12.28
1998
12.78
1999
13.24
2000
13.76
2001
14.32
Source: Bureau of Labor Statistics, U.S. Dept. of Labor
a. Draw a scatter plot with years on the x-axis and earnings on the y-axis.
b. Draw a line of fit for the data.
c. Write the slope-intercept form of an equation for the line of fit.
d. Predict the hourly earnings for production workers in 2005.
225. Alan used his graphing calculator to find the best-fit line of a set of data. The correlation coefficient was
-0.965. Explain what that means.
40
Name: ________________________
ID: A
ÔÏÔÔ x + 5 if ≤ 2
Ô
a function? Explain.
226. Is f(x) = ÌÔ
ÔÔ x − 3 if ≥ 2
Ó
227. In this example data, x is years since 1990 and y is the number of people in thousands using email or letters
as the main method of communicating written information.
emails usage: y = 15.2 + 2.5x
letters usage: y = 43.6 − 1.5x
a. Explain how graphs can be used to compare the number of people using letters to the number of people
using emails.
b. Include an estimate of the year in which the number of people writing letters equaled the number of people
using email. Then determine if your solution is reasonable for this problem.
228. When balancing her checkbook, Allison made an error which caused her to show a balance that was $54.00
above the actual balance. She had accidentally reversed the digits of the amount of one check. The sum of the
digits of that check amount was 12.
a. Write two equations to represent this situation.
b. What is the best method to use to solve this system? Why?
c. Solve the equations to determine the true amount of the check.
229. The total height of a building, b, and the antenna tower on top of it, t, is 425 feet. The difference in heights of
the building and the antenna tower is 324 feet. The following system of equations represents the situation.
b + t = 425
b − t = 324
a. Explain how to use elimination to solve a system of equations.
b. Include a step-by-step solution to find the height of the antenna tower.
41
Name: ________________________
ID: A
230. A manufacturer makes both volleyballs and basketballs. Each volleyball requires 2 minutes on the forming
machine, and each basketball requires 1 minute. Each volleyball requires 1 minute on the inflating machine,
and each basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and inflating machine
runs for 25 minutes, the following system of equations can be used to determine the number of volleyballs
and basketballs produced.
2x + y = 40
x + 1.5y = 25
a. Explain how the system of equations can be used to plan the machine running time.
b. Include a demonstration of how to solve the system of equations given in the problem.
231. a. Explain why sampling is important in doing surveys.
b. Illustrate biased and unbiased way of sampling with an example.
c. Which type of sampling do you think is more reasonable and why?
232. A city council conducted a random survey of home owners to see if they would support property taxes being
raised to help fund the construction of a city park. The results of the survey were: 50 strongly approved, 400
approved, 150 had no opinion, 350 disapproved, 300 strongly disapproved. It was concluded that residents
would approve raising the property taxes. Do you agree with the conclusion? Explain.
233. A charity randomly selected 100 donors. The mean donation amount of those donors is calculated. Identify
the sample and population. Describe the sample statistic and the population parameter.
234. a. Write the number of letter groupings that can be formed using the letters of the word “POWERFUL” such
that O, E, and F must be together. Does this situation represent a permutation or a combination? Explain.
b. How many 3-letter groupings can be formed using the consonants of the word “POWERFUL”? Does this
situation represent a permutation or a combination? Explain.
235. Mary goes to a church every Thursday. The probability that she will go to the church on Monday is
1
4
and the
1
probability that she will meet her friend there on Monday is 2 .
a. What is the probability of meeting her friend at church on Monday?
b. Are the two events independent or dependent? Explain.
236. A beauty parlor owner observed the number of times customers come to the parlor in a month.
Number of Times
1
2
3
4
Number of Customers
18
32
36
14
How could the parlor owner create a probability distribution and use it to create a frequent buyer program?
42
Name: ________________________
ID: A
237. The table below shows the observation of the experiment done by a mathematician to know whether the
game meets the expectation of the gaming company.
Group
A
B
C
Percentage of Losers
71%
69%
70%
Use the information above to explain how simulations can be used in gaming business. Also give the
condition in which the game can be considered as successful or failed the expectation of the company.
238. Describe how you would model an event with a 75% success rate. Explain why your model is appropriate.
43
ID: A
Keystone Practice
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.
37.
38.
39.
D
A
C
D
A
B
C
A
C
D
B
D
C
B
B
C
B
B
A
B
C
D
B
B
D
C
A
D
C
D
D
C
A
B
A
B
B
D
B
1
ID: A
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.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
82.
83.
84.
D
A
D
B
D
B
C
B
C
C
D
D
B
A
D
C
A
D
B
C
C
A
C
D
C
B
D
B
A
C
B
D
C
A
A
C
B
C
D
B
D
A
D
A
A
2
ID: A
85.
86.
87.
88.
89.
90.
91.
92.
93.
94.
95.
96.
97.
98.
99.
100.
101.
102.
103.
104.
105.
B
A
B
C
D
B
A
D
A
D
C
B
A
B
B
A
C
B
A
D
C
SHORT ANSWER
106. y = 50w + 400 ;
If a quantity changes at a constant rate over time, it can be modeled by a linear equation. The y-intercept
represents a starting point, and the slope represents the rate of change.
3
ID: A
107. y = 1.5r + 9.50
If a quantity changes at a constant rate over time, it can be modeled by a linear equation. The y-intercept
represents a starting point, and the slope represents the rate of change.
108. y = −14d + 256
If a quantity changes at a constant rate over time, it can be modeled by a linear equation. The y-intercept
represents a starting point, and the slope represents the rate of change.
109. y = 1.20x + 24 ;
If a quantity changes at a constant rate over time, it can be modeled by a linear equation. The y-intercept
represents a starting point, and the slope represents the rate of change.
110. C = 29m + 139;
If a quantity changes at a constant rate over time, it can be modeled by a linear equation. The y-intercept
represents a starting point, and the slope represents the rate of change.
4
ID: A
111. y = x + 6
Find the slope of the line with the slope formula. Find the y-intercept by replacing x and y with the given
point and m with the slope in the slope-intercept form. Solve for b. Write the equation in slope-intercept form
using the given m and the calculated b.
7
7
112. y = x + 1 ;
3
3
Find the slope of the line with the slope formula. Find the y-intercept by replacing x and y with the given
point and m with the slope in the slope-intercept form. Solve for b. Write the equation in slope-intercept form
using the given m and the calculated b.
113. P = 0.7t − 1381.9
Find the slope of the line with the slope formula. Find the y-intercept by replacing x and y with the given
point and m with the slope in the slope-intercept form. Solve for b. Write the equation in slope-intercept form
using the given m and the calculated b.
1
114. y = 2x − ; 2
10
Find the slope of the line with the slope formula. Find the y-intercept by replacing x and y with the given
point and m with the slope in the slope-intercept form. Solve for b. Write the equation in slope-intercept form
using the given m and the calculated b.
115. P = 5t − 9686
Find the slope of the line with the slope formula. Find the y-intercept by replacing x and y with the given
point and m with the slope in the slope-intercept form. Solve for b. Write the equation in slope-intercept form
using the given m and the calculated b.
116. y − 2 = 4 (x + 1 ) ; y = 4x + 6; 4x − y = −6
The linear equation y − y 1 = mÊÁË x − x 1 ˆ˜¯ is written in point-slope form, where ÊÁË x 1 , y 1 ˆ˜¯ is a given point on a
nonvertical line and m is the slope of the line.
Given an equation in point-slope form, solve the equation for y to find the equation in slope-intercept form.
The linear equation in standard form is given as Ax + By = C , where A, B, and C are constants. Use Addition
and Subtraction Properties of Equality to rewrite the equation in standard form.
117. y − 7 = −9 (x − 5 ) ; y = −9x + 52; 9x + y = 52
The linear equation y − y 1 = mÁÊË x − x 1 ˜ˆ¯ is written in point-slope form, where ÊÁË x 1 , y 1 ˜ˆ¯ is a given point on a
nonvertical line and m is the slope of the line.
Given an equation in point-slope form, solve the equation for y to find the equation in slope-intercept form.
The linear equation in standard form is given as Ax + By = C , where A, B, and C are constants. Use Addition
and Subtraction Properties of Equality to rewrite the equation in standard form.
5
ID: A
118. y −
2 3 ÁÊÁÁ
1 ˜ˆ
3
11
= ÁÁ x − ˜˜˜˜ ; y = x + ; 15x − 40y = −11
5 8Ë
3¯
8
40
The linear equation y − y 1 = mÊÁË x − x 1 ˆ˜¯ is written in point-slope form, where ÊÁË x 1 , y 1 ˆ˜¯ is a given point on a
nonvertical line and m is the slope of the line.
Given an equation in point-slope form, solve the equation for y to find the equation in slope-intercept form.
The linear equation in standard form is given as Ax + By = C , where A, B, and C are constants. Use Addition
and Subtraction Properties of Equality to rewrite the equation in standard form. Remember that A, B, and C
must be integers with a GCF of 1.
ÁÊ
3
1 ˜ˆ
10
119. y + = 5 ÁÁÁÁ x − ˜˜˜˜ ; y = 5x − ; 35x − 7y = 10
7
5
7
Ë
¯
The linear equation y − y 1 = mÊÁË x − x 1 ˆ˜¯ is written in point-slope form, where ÊÁË x 1 , y 1 ˆ˜¯ is a given point on a
nonvertical line and m is the slope of the line.
Given an equation in point-slope form, solve the equation for y to find the equation in slope-intercept form.
The linear equation in standard form is given as Ax + By = C , where A, B, and C are constants. Use Addition
and Subtraction Properties of Equality to rewrite the equation in standard form. Remember that A, B, and C
must be integers with a GCF of 1.
4 1 ÁÊ
2 ˜ˆ
1
34
120. y + = ÁÁÁÁ x + ˜˜˜˜ ; y = x − ; 9x − 45y = 34
5 5Ë
9¯
5
45
The linear equation y − y 1 = mÊÁË x − x 1 ˆ˜¯ is written in point-slope form, where ÊÁË x 1 , y 1 ˆ˜¯ is a given point on a
nonvertical line and m is the slope of the line.
Given an equation in point-slope form, solve the equation for y to find the equation in slope-intercept form.
The linear equation in standard form is given as Ax + By = C , where A, B, and C are constants. Use Addition
and Subtraction Properties of Equality to rewrite the equation in standard form. Remember that A, B, and C
must be integers with a GCF of 1.
1
121. No; the slopes are 4 and .
4
Two nonvertical lines are perpendicular if the slopes are opposite reciprocals of each other.
122. y = −4x + 4
Two nonvertical lines are parallel if they have the same slope. Use the given point with the slope of the
parallel line in the point-slope form. Then change to the slope-intercept form.
5
5
15
123. y = − (x − 3 ) or y = − x +
2
2
2
Two nonvertical lines are perpendicular if the slopes are opposite reciprocals of each other. Use the given
point with the slope of the perpendicular line in point-slope form. Then change to slope-intercept form.
5
19
124. y = − x −
2
2
Two nonvertical lines are perpendicular if the slopes are opposite reciprocals of each other. Use the given
point with the slope of the perpendicular line in point-slope form. Then change to slope-intercept form.
6
ID: A
125.
Negative correlation.
A scatter plot is a graph in which two sets of data are plotted as ordered pairs in a coordinate plane. There is
a positive correlation when y increases as x increases. There is a negative correlation when y decreases as x
increases. There is no correlation when x and y are not related.
126. No; using the equation would give 2.82 hrs of sleep in a day, which is not a reasonable estimate for a
2-year-old.
Write an equation for the line of fit. Use the equation to make the prediction.
127.
Positive correlation
A scatter plot is a graph in which two sets of data are plotted as ordered pairs in a coordinate plane. There is
a positive correlation when y increases as x increases. There is a negative correlation when y decreases as x
increases. There is no correlation when x and y are not related.
128. No; using the equation would give –333.3 miles, which is not a reasonable estimate.
Write an equation for the line of fit. Use the equation to make the prediction.
7
ID: A
129.
A scatter plot is a graph in which two sets of data are plotted as ordered pairs in a coordinate plane. There is
a positive correlation when y increases as x increases. There is a negative correlation when y decreases as x
increases. There is no correlation when x and y are not related.
130.
131.
132.
133.
134.
If the data points do not all lie on a line, but are close to a line, you can draw a line of fit. This line describes
the trend of the data.
y = 5.6x + 242.73 ; $298,730
y = −1.86x + 87 ; 59.1
y = 11.86x − 13.67 ; 81.21 feet
y = 230.43x − 33.33 ; 0.983
No, the graphs are parallel, so the lines will never meet, and there is no year when the annual salary will be
the same.
Since the graphs are parallel lines, there are no solutions.
135. No, the graphs are parallel, so the lines will never meet and at no distance will the rental fees be the same.
Since the graphs are parallel lines, there are no solutions.
8
ID: A
136.
3.1 years after the given year, the number of broadband and dial-up users is predicted to be the same, 15.93
million.
Graph each line. The point where the two lines intersect is the solution. Check the solution by replacing x and
y in the original equations with the values in the ordered pair.
137.
Sample answer: The solution ÊÁË 2.66, 35.33 ˆ˜¯ means that 2.66 days after the plants are planted, their height are
predicted to be the same, 35.33.
Graph each line. The point where the two lines intersect is the solution. Check the solution by replacing x and
y in the original equations with the values in the ordered pair.
9
ID: A
138.
Sample answer: The solution ÊÁË 3.33, 366.67 ˆ˜¯ means that 3.33 weeks after the initial deposit, the amount in
their savings account is predicted to be the same, $366.67.
Graph each line. The point where the two lines intersect is the solution. Check the solution by replacing x and
y in the original equations with the values in the ordered pair.
139. 24g of pure silver and 32g of a 65% alloy
x + y = 56
x + 0.65y = 0.80 (56)
Substitute 56 − y for x in the second equation and solve for y. Substitute that value into the first equation and
solve for x.
140. Speed of train A: 50mph, Speed of train B: 30mph
x = y + 20
3x + 3y = 240
Substitute y + 20 for x in the second equation and solve for y. Substitute that value into the first equation and
solve for x.
141. 23 inches
2x + y = 61
y = 4+x
Substitute 4 + x for y in the first equation and solve for x. Substitute that value into the second equation and
solve for y.
142. 10 dimes and 15 quarters
x + y = 25
0.10x + 0.25y = 4.75
Substitute 25 − x for y in the second equation and solve for x. Substitute that value into the first equation and
solve for y.
10
ID: A
143. 14 hens and 18 pigs
x + y = 32
2x + 4y = 100
Substitute 32 − x for y in the second equation and solve for x. Substitute that value into the first equation and
solve for y.
144. 40, 14
x + y = 54
x − y = 26
Eliminate one variable by adding the two equations. Solve for x and then substitute that value into one of the
equations to find the value of y.
145. 5, 7
5x + y = 32
3x − y = 8
Eliminate one variable by adding the two equations. Solve for x and then substitute that value into one of the
equations to find the value of y.
146. 8 saltwater fish, 7 freshwater fish
x + y = 15
2x + y = 23
Eliminate one variable by subtracting the two equations. Solve for x and then substitute that value into one of
the equations to find the value of y.
147. Jack: 33 stamps; Dylan: 13 stamps
x − y = 20
x + y = 46
Eliminate one variable by adding the two equations. Solve for x and then substitute that value into one of the
equations to find the value of y.
148. y = 2.45 + 0.06x
y = 3.15 + 0.04x
Sample answer: The solution ÊÁË 35, 4.55 ˆ˜¯ means that 35 years after 2000, or in 2035, the annual sales of the
two companies A and B are predicted to be the same, 4.55 million dollars.
Eliminate one variable by subtracting the two equations. Solve for x and then substitute that value into one of
the equations to find the value of y.
149. 6, 4
6x + 5y = 56
x + y = 10
Eliminate the y terms by first multiplying the second equation by 5 and then subtracting the two equations.
Solve for x and then substitute that value into one of the equations to find the value of y.
11
ID: A
150. 26
x+y = 8
10y + x = 10 + 2 ÊÁË 10x + y ˆ˜¯
Substitute 8 − x for y in the first equation and solve for x. Substitute that value into the second equation and
solve for y.
151. ÁÊË 7, − 3 ˜ˆ¯
Eliminate the x terms by first multiplying the top equation by 3 and the bottom one by 2 and then subtracting
the two equations. Solve for y and then substitute that value into one of the equations to find the value of x.
152. 6.48 mph
4x + 4y = 33
7x − 7y = 33
Eliminate the x terms by first multiplying the top equation by 7 and the bottom one by 4 and then subtracting
the two equations. Solve for y and then substitute that value into one of the equations to find the value of x.
153. $290 digital camera, $520 camcorder
12x + 8y = 7640
9x + 11y = 8330
Eliminate the y terms by first multiplying the top equation by 11 and the bottom one by 8 and then
subtracting the two equations. Solve for x and then substitute that value into one of the equations to find the
value of y.
154. 12 dimes, 8 nickels
x + y = 20
5x − 5y = 20
Solve the first equation for one of the variables and substitute into the second equation. Solve. Substitute that
value into the first equation to find the second value.
155. 140 h by a turkey, 280 h by a chicken
8 12
1
+
=
x y
10
6 8
1
+ =
x y 14
Eliminate the y terms by first multiplying the top equation by 4 and the bottom one by 6 and then subtracting
the two equations. Solve for x and then substitute that value into one of the equations to find the value of y.
12
ID: A
156. 16.6 h by a large hose, 25 h by a small hose
3 8 1
+ =
x y 2
10 10
+
=1
y
x
Use elimination by multiplication to get the value of x and y.
157. length: 28 inches; breadth: 19 inches
(x + 3 ) ÊÁË y − 4 ˆ˜¯ = xy − 67
(x − 1 ) ÊÁË y + 4 ˆ˜¯ = xy + 89
−4x + 3y = −55
4x − y = 93
Eliminate one variable by adding the two equations. Solve for y and then substitute that value into one of the
equations to find the value of x.
158. Daniel’s age: 37 years; Lucy’s age: 10 years.
x = 7 + 3y
2x − 5y = 24
Substitute 7 + 3y for x in the second equation and solve for y. Substitute that value into the first equation and
solve for x.
159. p = 1.15
As a decimal, 15% is 0.15. The number 1 represents the current number of polo shirts. By adding 15% or
0.15 to 1, we can determine the number of polo shirts needed for next week.
160. Sample answer: Patrick can buy 7 storybooks for $12 and 2 for $8.
x+y ≥ 8
8x + 12y ≤ 105
161.
Graph the inequalities 10x + 20y ≤ 300 and x + y ≥ 20. The solution is the shaded area.
13
ID: A
162. Sample answer: They can give away 20 of the $10 tickets and 5 of the $20 tickets or 15 of the $10 tickets and
7 of the $20 tickets.
Total number of tickets given away must be greater than equal to 20 and the total cost of the tickets must be
less than or equal to $300.
163. m ≥ 2s
500m + 750s ≥ 3500
Graph the inequalities m ≥ 2s and 500m + 750s ≥ 3500. The solution is the shaded area.
164. 4 cars
The number of mid-sized cars sold must be greater than or equal to twice the number of sport-utility vehicles
and sum of the profit earned from car of each type must be greater than or equal to $3500.
165. Sample answer: Ask a question on the topic that you are being taught to every fifth student.
A sample is an unbiased sample if every individual or the element in the population has an equal chance of
being selected.
166. Sample answer: Get a copy of the employee’s list and take the opinion of every tenth person on the list.
A sample is an unbiased sample if every individual or the element in the population has an equal chance of
being selected.
167. Sample answer: Take a sample of water of every twentieth house in your neighborhood.
A sample is an unbiased sample if every individual or the element in the population has an equal chance of
being selected.
168. unbiased
biased way: The farmer tests all the grape trees in one row to see whether the grapes are ready to harvest.
A biased sample is one that is falsely taken to be typical of a population from which it is drawn.
A sample is an unbiased sample if every individual or the element in the population has an equal chance of
being selected.
14
ID: A
169. biased
unbiased way: The physics practical teacher checks readings taken by every fifth student in the class to
ensure that each student is taking the readings correctly.
A biased sample is one that is falsely taken to be typical of a population from which it is drawn.
A sample is an unbiased sample if every individual or the element in the population has an equal chance of
being selected.
170. Sample answer: Mean would be the best because there no outliers. The mean is 1.89 m.
171. Sample answer: Mode would be the best because there are many repeated numbers. The mode is 95.
172. 455
The number of combinations of n objects taken r at a time is the quotient of n! and (n − r)! r!.
173.
35
132
≈ 27%
C1 × 7 C1
Simplify
to get the answer.
12 × 11
5
174.
4
7
Use the formula P ( A or B) = P ( A) + P (B ) − P ( A and B) to solve.
175.
11
15
Use the formula P ( A or B) = P ( A) + P (B ) − P ( A and B) to solve.
176. BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG
177. P(X = 0) =
8
27
P(X = 1) =
12
27
P(X = 2) =
6
27
P(X = 3) =
1
27
Determine which combinations contain 0, 1, 2, or 3 spins that land on black. Multiply to determine the
probability of spinning and landing on black for each combination.
178. P(Y = 0) =
1
27
P(Y = 1) =
6
27
P(Y = 2) =
12
27
P(Y = 3) =
8
27
Determine which combinations contain 0, 1, 2, or 3 spins that land on gray. Multiply to determine the
probability of spinning and landing on gray for each combination.
15
ID: A
179.
180.
181. Answers may vary. Sample Answer: No, it is more probable to land on gray since it is two-thirds of the
spinner.
182. Let X = the number of DVDs.
X = 25, 50, 75, 100, 125
A random variable is a variable whose value is the numerical outcome of a random event. In this problem, the
random variable is the number of DVDs.
183. 0.05 + 0.30 + 0.40 + 0.15 + 0.10 = 1.00
A valid probability distribution should have a sum of 1.00.
184. 0.05 + 0.30 = 0.35
The probability of an event is equal to the sum of the individual probabilities.
185. 0.157 + 0.171 + 0.356 + 0.203 = 0.887
The probability of the event is equal to the sum of the individual probabilities.
186. 0.072 + 0.025 + 0.016 = 0.113
The probability of the event is equal to the sum of the individual probabilities.
187. 0.203 + 0.356 + 0.171 = 0.73
The probability of the event is equal to the sum of the individual probabilities.
16
ID: A
188. 0.356 + 0.171 + 0.157 + 0.072 + 0.025 + 0.016 = 0.797
The probability of the event is equal to the sum of the individual probabilities.
189. 0.757 + 0.122 = 0.879
The probability of the event is equal to the sum of the individual probabilities.
190. 0.029 + 0.033 = 0.062
The probability of the event is equal to the sum of the individual probabilities.
191. 0.122 + 0.047 = 0.169
The probability of the event is equal to the sum of the individual probabilities.
192. Yes; 0.391 + 0.280 + 0.190 + 0.139 = 1
A probability distribution is valid if the probabilities of all outcomes add up to 1.
193. 0.329
The probability of an event is equal to the sum of the individual probabilities.
194. 0.861
The probability of an event is equal to the sum of the individual probabilities.
195. 11
Find 19.1% of 59.
196. No; 0.282 + 0.191 + 0.134 + 0.071 + 0.236 = 0.914. The sum of the probabilities does not equal 1.
A probability distribution is valid if the probabilities of all outcomes add up to 1.
197. P(compact car) = 0.107
P(sedan) = 0.357
P(SUV) = 0.241
P(truck) = 0.295
What is the total number of vehicles? Divide the number of each vehicle by the total to determine the
probability of each vehicle.
198. 0.107 + 0.357 = 0.464
The probability of the event is equal to the sum of the individual probabilities.
199. 0.241 + 0.295 = 0.536
The probability of the event is equal to the sum of the individual probabilities.
200. 0.357 + 0.241 = 0.598
The probability of the event is equal to the sum of the individual probabilities.
201. 0.107 + 0.241 = 0.348
The probability of the event is equal to the sum of the individual probabilities.
17
ID: A
202. 0.107 + 0.295 = 0.402
The probability of the event is equal to the sum of the individual probabilities.
203. 0.107 × 210 ≈ 23
The probability of the event is equal to the sum of the individual probabilities.
204. 0.241 × 175 ≈ 43
The probability of the event is equal to the sum of the individual probabilities.
205. Answers may vary.
Sample Answer: Spinner divided into four equal sections or four different colored marbles in a bag.
206. Answers may vary.
Sample Answer: A die could be used since it has six sides that could correspond to the six ice cream flavors.
207. Answers may vary.
Sample Answer: A die could be used since it has six sides that could correspond to the six ice cream flavors.
Roll the die fifty times.
208. Answers may vary.
1
Sample Answer: You could use a special spinner that was divided into three sections where 2 represents
grape juice,
1
3
represents orange juice, and
209. The theoretical probability is
1
2
1
6
represents cranberry juice.
or 50%.
If a simulation was performed, the experimental probability could be determined.
210. A spinner divided into four equal sections with each section representing a different type of pizza could be
used to simulate the outcomes.
211. The theoretical probability is
1
16
or ≈ 6%.
212. Answers may vary.
Sample Answer: Four coins could be used where each coin represents a kitten. Let heads represent females,
and tails represents males.
213. Justin made 25 × 0.60, or 15 free throws.
214. P ÊÁË Obesityˆ˜¯ = 0.086
P (Diabetes) = 0.145
P ÊÁË Heart problems ˆ˜¯ = 0.210
P ÊÁË Eye problems ˆ˜¯ = 0.301
P ÊÁË Dental problem ˆ˜¯ = 0.258
experimental probability =
frequency of an outcome
total number of trials
215. 0.45 or 45%
The probability of the event is equal to the sum of the individual probabilities.
216. 62%
62 ÷ 100 = 0.62
18
ID: A
217. 37.5%
15 ÷ 40 = 0.375
218. 4.7%
7 ÷ 150 = 0.04666
219. 42%
21 ÷ 50 = 0.42
220. 28%
13 ÷ 47 = 0.2765
19
ID: A
ESSAY
221. Sample answer:
a. You can use the slope-intercept form of the equation to find the y-value for any requested x-value. The
number of members in the fan club in 2007 will be 137,400.
b. Linear extrapolation is when you use a linear equation to predict values that are outside of the given points
on the graph.
Find the slope of the line with the slope formula. Find the y-intercept by replacing x and y with the given
point and m with the slope in the slope-intercept form. Solve for b. Write the equation in slope-intercept form
using the given m and the calculated b.
Linear extrapolation is using a linear equation to predict values that are beyond the range of the data.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
20
ID: A
222. Sample Answer
a. Plan 1: C = 15 + 0.08m
Plan 2: C = 5 + 0.11m
Plan 3: C = 49.95
b.
c. Megan should enroll in Plan 3. The graph shows that at 500 minutes, she would be paying $49.95 for Plan
3, about $60 for Plan 2, and about $55 for Plan 1.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
21
ID: A
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
22
ID: A
223. a. Sample answer: If two equations have the same slope, then the lines are parallel. If the product of their
slopes equals –1, then the lines are perpendicular, except for horizontal and vertical lines.
b. Yes, the lines are parallel as the slopes are equal.
8
5
1
5
c. The graph of y = x is perpendicular to the graph of y = − x + and y = − x + 3 because the slopes are
5
8
5
8
negative reciprocals of each other.
Two nonvertical lines are parallel if they have the same slope.
Two nonvertical lines are perpendicular if the slopes are opposite reciprocals of each other.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
23
ID: A
224. Sample Answer
a. and b.
Average Hourly Earnings (dollars) of U.S.
Production Workers, 1991-2001
Year
c. Using (1992, 10.57) and (2000, 13.76), the slope of the line is: m =
Find b using one of the points.
13.76 = 0.4 * 2000 + b
13.76 = 800 + b
−786.24 = b
The equation for the line of fit is y = 0.4x − 786.24
d. y = 0.4x − 786.24
y = 0.4(2005) − 786.24
y = 15.76
Hourly earnings in 2005 should be about $15.76.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
24
13.76 − 10.57
2000 − 1992
=
3.19
8
≈ 0.4.
ID: A
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
25
ID: A
225. The correlation coefficient measures the how closely the best-fit line is modeling the data. The closer it is to
1 or -1, the more closely it models the data. The best-fit line is a good model for the data because -0.965 is
very close to -1. The fact that it is negative means that there is a negative correlation.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
26
ID: A
226. No it is not a function. A function has to have a unique y value for every x value. If x is 2, y would be either
2 + 5 = 7 or 2 − 3 = −1.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
27
ID: A
227. a. Graphs can show when the number of people using letters is greater than, less than, or equal to the number
of people using email.
b. The number of people using letters equaled the number of people using email in about 7 years, or between
1997 and 1998.
The point at which the graphs of the two equations intersect represents the year when the number of people
using letters equaled the number of people using emails as the main method of communicating written
information.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
28
ID: A
228. a. a + b = 12
10a + b = 10b + a + 54
b. Substitution, since the coefficient of one of the variables (both!) is 1.
c. 10a + b = 10b + a + 54
9a = 9b + 54
Now substitute a = 12 − b into this equation and solve.
9(12 − b) = 9b + 54
108 − 9b = 9b + 54
108 = 18b + 54
54 = 18b
3=b
Now substitute b = 3 into a + b = 12 and solve to find that a = 9.
The amount of the check was $93.00 and had been incorrectly recorded as $39.00.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
29
ID: A
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
30
ID: A
229. a. Sample answer: Elimination can be used to solve height problems if the coefficients of one variable are the
same or are additive inverses. The two equations in the system of equations are added or subtracted so that
one of the variables is eliminated. You then solve for the remaining variable. This number is substituted
into one of the original equations, and that equation is solved for the other variable.
b. The following steps can be used to find the height of the antenna tower.
b + t = 425
Write the equation in column form and add.
(+) b − t = 324
2b = 749
The t va r iable is eli mi n ated.
2b 749
=
2
2
Divide each side by 2.
b = 374.5 Simplfy.
b + t = 425
374.5 + t = 425
First equation
b = 374.5
374.5 + t − 374.5 = 425 − 374.5 Subtract 374.5 from each side.
t = 50.5
Simplify.
The height of the antenna tower is 50.5 feet.
Eliminate one variable by adding the two equations. Solve for b and then substitute that value into one of the
equations to find the value of t.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
31
ID: A
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
32
ID: A
230. a. Sample answer: By having two equations that represent the machine time, the machine running time can be
planned.
b. The following is the solution to the system of equations:
2x + y = 40
x + 1.5y = 25
Multiply by –2.
−2x − 3y = −50
−2y = −10
−2y −10
=
−2
−2
y=5
x + 1.5y = 25
x + 1.5(5) = 25
x + 7.5 = 25
x + 7.5 − 75 = 25 − 7.5
x = 17.5
Eliminate the y terms by first multiplying the top equation by 1.5 and then subtracting the two equations.
Solve for x and then substitute that value into one of the equations to find the value of y.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
33
ID: A
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
34
ID: A
231. a. It is impossible to do a survey of a population that is too big. So, a sample which is a small portion
representing the whole population is created to do the survey.
b. Suppose you are an education inspector and want to know whether the notes given to the students are up to
the level or not.
Biased way: Pick up 10 notebooks from a particular class and check.
Unbiased way: Pick up a notebook from each section of each class and check.
c. Unbiased, as with unbiased sampling we can come to a correct conclusion.
A biased sample is one that is falsely taken to be typical of a population from which it is drawn.
A sample is an unbiased sample if every individual or the element in the population has an equal chance of
being selected.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
35
ID: A
232. Sample answer: I disagree with the conclusion. At first glance it looks like most residents responded with an
approval. But further analysis shows that while 450 either approved or strongly approved, 650 either
disapproved or strongly disapproved. Therefore the conclusion is invalid.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
36
ID: A
233. The sample is the group of 100 donors from the population of all donors. The sample statistic is the mean
donation of the group of 100 donors and the population parameter is the mean donation of all donors.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
37
ID: A
234. a. 4320; permutation as order is important.
b. 10; combination as order is not important.
The number of permutations of n objects taken r at a time is the quotient of n! and (n - r)!.
The number of combinations of n objects taken r at a time is the quotient of n! and (n − r)! r!.
Permutation is an arrangement or listing in which order or placement is important.
Combination is an arrangement or listing in which order or placement is not important.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
38
ID: A
235. a.
1
8
b. dependent, because if she doesn’t go to church on Monday they can’t meet.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
39
ID: A
236. Sample answer: The parlor owner can determine the probability of each outcome of the event and list them in
a table. The owner could use the probability of a customer coming frequently and provide extra facilities to
those customers.
The probability of every possible value of the random variable X is called a probability distribution.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
40
ID: A
237. Each game is designed in such a way that the company has a maximum profit. The company decides the
percentage of winning and losing for the players. The game is experimented on different groups of players to
see whether the percentage demanded by the owner is fulfilled or not.
Sample answer: Suppose the company wants 65% of the players to lose, in that case the game is successful. If
the company wants 75% of the player to lose then the game needs to be modified.
Experimental probability is determined using data from the tests or experiments.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
41
ID: A
238. Sample answer: I would make a spinner with 4 equal sections. I would color 3 of the sections green and one
3
section red. The green section of the spinner represents a success because it is of the spinner or 75%. The
4
red section of the spinner represents a failure because it is the remaining 25% of the spinner.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
42
Keystone Practice [Answer Strip]
ID: A
C 21.
_____
A
_____
8.
D
_____
1.
B 15.
_____
A 19.
_____
C
_____
9.
C 16.
_____
D 10.
_____
A
_____
2.
C
_____
3.
B 11.
_____
D 22.
_____
B 17.
_____
D
_____
4.
B 20.
_____
D 12.
_____
B 18.
_____
A
_____
5.
B
_____
6.
C 13.
_____
C
_____
7.
B 14.
_____
Keystone Practice [Answer Strip]
B 23.
_____
ID: A
B 34.
_____
D 25.
_____
A 27.
_____
A 35.
_____
D 28.
_____
D 31.
_____
B 36.
_____
C 32.
_____
C 26.
_____
B 24.
_____
C 29.
_____
D 30.
_____
A 33.
_____
B 37.
_____
Keystone Practice [Answer Strip]
C 49.
_____
D 38.
_____
ID: A
A 56.
_____
C 62.
_____
A 41.
_____
B 39.
_____
D 50.
_____
D 42.
_____
D 63.
_____
D 57.
_____
B 43.
_____
D 51.
_____
D 40.
_____
B 58.
_____
D 44.
_____
C 64.
_____
B 52.
_____
C 59.
_____
B 45.
_____
B 65.
_____
A 53.
_____
C 60.
_____
C 46.
_____
D 54.
_____
D 66.
_____
B 47.
_____
C 55.
_____
C 48.
_____
A 61.
_____
B 67.
_____
Keystone Practice [Answer Strip]
A 68.
_____
ID: A
A 73.
_____
C 72.
_____
A 74.
_____
C 77.
_____
C 69.
_____
B 70.
_____
D 71.
_____
D 78.
_____
C 75.
_____
B 79.
_____
B 76.
_____
Keystone Practice [Answer Strip]
ID: A
A 91.
_____
B
_____102.
A 83.
_____
D 80.
_____
D 92.
_____
A
_____103.
A 97.
_____
A 81.
_____
A 84.
_____
A 93.
_____
B 98.
_____
D
_____104.
B 85.
_____
C
_____105.
D 94.
_____
A 86.
_____
C 95.
_____
B 87.
_____
B 96.
_____
C 88.
_____
B 99.
_____
D 89.
_____
A
_____100.
B 90.
_____
C
_____101.
D 82.
_____