test 1
118 2377 99 3400 2376 2359 2361 2
333286
detach
1
Simplify this expression.
[q-5(q6)]2
2
A
1
B
q
C
q2
D
q7
Julius bought 3 games on sale. The original price of each game was d dollars. The
expression below shows the total amount Julius paid.
3(d – 0.2d)
Which expression is equivalent to this?
3
A
2.4d
B
2.8d
C
3d – 0.2
D
3d – 0.6
Which set does not include 1,322?
A
integers
B
whole numbers
C
natural numbers
D
irrational numbers
4
5
6
7
Which student provided the most accurate definition of the set of all integers?
A
Adam: "The set of all integers is all real numbers except fractions."
B
Beth: "The set of all integers is all positive numbers and 0."
C
Carline: "The set of all integers is all whole numbers and their negatives."
D
Dave: "The set of all integers is decimals, fractions, and negatives."
Which set contains only whole numbers?
A
{0, 3, 6, 7}
B
{1, , , 4}
C
{2, 3,
D
{-4, -1, 2, 9}
, 8}
The difference between the number of purchases at an art gallery during one
month and the number of purchases during the next month must be an integer.
Which statement must also be true of this number?
A
It is also a whole number.
B
It is also a natural number.
C
It is also a rational number.
D
It is also an irrational number.
Which statement below is true?
A
-3 is an integer.
B
-5 is a natural number.
C
is an irrational number.
is a rational number.
D
8
Use the set of numbers below to answer this question.
1, 2, 4}Which name best describes this set of numbers?
A
integers
B
whole numbers
C
natural numbers
D
rational numbers
9
Is the number shown below rational or irrational?
reasoning.
10
Which value of n makes this equation true?
3n2 = –n
A
B
11
–3
–1
C
–
D
–
Simplify this expression.
{0, 0.5,
5.323232... Justify your
A
B
C
D
12
4
16
Use the diagram below to answer this
question.
Eli cut 2-inch
squares from each corner of a larger square. Which expression can be used to
find the remaining area of the larger square?
A
B
C
D
13
Which is another way of writing 5-2?
A
-25
B
-10
C
D
14
Which expression shows another way of writing the expression
below?
A
B
C
D
15
What is the value of the expression below?
A
3-2 + 24
2
B
C
D
16
17
What is the value of the expression below?
A
-17
B
-12
C
0
D
1
Use the diagram below to answer this
(-2)3 + (-3)2
question.
A rectangular prism is
removed from the center of a cube, as shown. Which expression can be used to find the
volume of the resulting shape?
A
B
C
D
18
Laura will compute the mean of 3 numbers and express her answer to 2 decimal places.
For which set of numbers will her answer be exact?
A
{12, 31, 42}
B
{15, 30, 40}
C
{17, 31, 45}
D
{18, 36, 50}
19
Joshua needs to find the decimal equivalent for of . He first finds the decimal
equivalent of each fraction on a calculator that shows a maximum of ten digits. Then he
multiplies the decimals together. How does his result compare to the actual, nonrounded answer?
A
His result is less than the actual answer because the calculator rounded down
both of the original fractions.
B
His result is less than the actual answer because the calculator rounded down
only one of the original fractions.
C
His result is greater than the actual answer because the calculator rounded up
both of the original fractions.
D
His result is greater than the actual answer because the calculator rounded up
only one of the original fractions.
20
Which decimal most accurately represents
?
A
B
C
D
21
Debra wants to calculate the areas of the triangles shown below.
Debra uses the formula Area =
square inches.
Part A
base height to find the area of each triangle, in
Debra estimates the area of Triangle 1 using the equation
. Is Debra's
estimation greater than or less than the actual area of Triangle 1? Justify your
answer.
Part B
Write an expression in simplest form that shows the exact area of Triangle 2 in square
inches.
Part C
Debra's calculator shows the value of
as 1.7320508. She uses this value to
calculate the area of Triangle 2. Is her area calculation an exact answer or an
estimation? Justify your answer.
22
The side lengths of a triangle are listed below.
 8.6875 inches
 10.75 inches
 6.875 inchesAlex estimates the perimeter of this triangle to be 27 inches.
Which statement best describes this estimated perimeter?
A
It is lower than the actual perimeter since each length was rounded to
the nearest tenth.
B
It is equal to the actual perimeter since each length was rounded to the
nearest tenth.
C
It is lower than the actual perimeter since each length was rounded to
the nearest whole number.
D
It is higher than the actual perimeter since each length was rounded to
the nearest whole number.
23
A round dinner plate has a radius of 5 inches. Which expression gives the most
accurate estimate of the area of the plate?
A
B
C
D
24
Gia uses the number 3.14 for to find the approximate circumference of a
circle.Which statement best describes the result of Gia's calculation?
A
The result is the exact circumference.
B
The result is less than the exact circumference.
C
The result is greater than the exact circumference.
D
The result is 3.14 units away from the exact circumference.
25
Use the expression below to answer this question.
answer shows the exact value of this expression?
A
B
C
D
26
Derek approximated the perimeter of the rectangle below as 1,500
Which
mm.
best describes Derek's approximation?
27
Which statement
A
It is slightly lower than the actual perimeter since each side was
rounded to the nearest 10.
B
It is slightly higher than the actual perimeter since each side was
rounded to the nearest 10.
C
It is significantly lower than the actual perimeter since each side was
rounded to the nearest 100.
D
It is significantly higher than the actual perimeter since each side was
rounded to the nearest 100.
The expression below represents the distance, in miles, between two state
capitals on a map.
Jermaine calculates this distance as 175.5 miles.
Is this calculation an exact distance or an approximation? Justify your
reasoning.
28
Janet wants to sew a lace border around the edge of the tablecloth shown
below.
Janet uses her calculator to find the value of to use in the circumference formula. Her
calculator shows this value as 3.141592654. Explain whether Janet's calculation for the
distance around the tablecloth will be exact or an approximation.
29
Alfonzo used these steps to solve the equation x – 2 = 3x + 5.
Where did Alfonzo make a mistake?
30
A
setting up step I
B
between steps I and II
C
between steps II and III
D
between steps III and IV
Randy climbed a Mayan pyramid in Mexico. He climbed 91 stairs from the bottom to
the top, which took him to a height of 24 meters. Each stair is about the same height.
Which is the best estimate of the height of each stair?
31
A
0.27 meter
B
0.36 meter
C
2.7 meters
D
3.6 meters
At yesterday’s ball game, 2,842 tickets were sold. The price of each ticket was $7.50.
Which amount is closest to the total amount of money received from ticket sales at
yesterday’s ball game?
A
$30,000
B
$25,000
C
$20,000
D
$15,000
32
The expression below changes - Fahrenheit to degrees Celsius.
What is the temperature, in degrees Celsius, for Fahrenheit?
A
-
B
-
degrees Celsius
C
-
degrees Celsius
D
-
degrees Celsius
degrees Celsius
33
Kyle rode his bike
miles in the morning and
many miles, in total, did Kyle ride his bike?
A
miles
B
miles
miles in the afternoon.How
-
34
C
miles
D
miles
Melissa is playing a trivia game. After 2 rounds of play, Melissa has -20 points.
In the remaining rounds, she answers 7 questions correctly and 1 question
incorrectly.* Each correct answer is worth +25 points.* Each incorrect answer is
worth -10 points.What is Melissa's final score?
A
100 points
B
145 points
C
165 points
D
205 points
35
In a survey, of 300 people said they are in favor of a new parking garage
downtown. How many people are in favor of the new parking garage?
36
A
60
B
75
C
120
D
150
Typing Help: Use the / key (example: 3/4) when you need to type a
fraction.A carpenter has a board that is
pieces.
feet long. She cuts the board into 3 equal
What is the length, in feet, of each board?Do not add any words, symbols, or
punctuation to your answer.
37
Simplify the expression below.
-4(3p) + p
38
39
40
41
A
-11p
B
-13p
C
-16p
D
-12 + p
Sam can not read a part of this homework problem.
-7y + 5(3 + __ y)Sam
knows the expression simplifies to 3y + 15. What number belongs on the blank line in
the homework problem?
A
-4
B
2
C
4
D
10
What is the simplified form of the expression below?
A
0
B
6y
C
10y
D
12y
5y – 2y + y
Which answer shows another way of writing the expression below?
2(3b + 1)
A
2b + 1
B
2b
C
6b + 1
D
6b
3
4(3b)
2
2
What is the simplest form of the expression below?
not add any words to your answer.
5x + 12
2(x + 7)Do
42
Use this graph to answer the following questions.
Part A
A small pond was 40 inches deep, but it became 5 inches shallower every 10 days.
Could the graph represent this situation? Justify your response.
Part B
Tawny is building an electric motor. She notices that the rotation of the motor increases
10 times per second for each 5 watts of electricity, up to a maximum of 40 rotations per
second. Could the graph represent this situation? Justify your response.
43
Which situation can this equation represent?
5x – 7y = 0
Abby works 5 out of every 7 days. About how many total days (x) have
passed if Abby has worked y days?
A
Abby works 5 out of every 7 days. About how many total days (y) have
passed if Abby has worked x days?
B
Jim assembles 7 toy trains (x) for every 5 toy airplanes (y) he assembles. What
is the total number of toys Jim assembles?
C
Jim assembles 7 toy trains (y) for every 5 toy airplanes (x) he assembles. What
is the total number of toys Jim assembles?
D
44
45
46
Karen went to an amusement park that charged $8 for admission and $2 per ride. She
went on n rides. Which expression shows how much, in dollars, Karen spent in all?
A
2 + 8n
B
2n + 8
C
2(n + 8)
D
8(n + 2)
Opening a savings account at Bayou Bank requires at least $250. So far, Emily has
$106. Which inequality shows how many more dollars, d, Emily needs to open the
savings account?
A
d + 106
250
B
d + 106
250
C
d
106
250
D
d
106
250
An empty box weighs 6 ounces. Jenna puts 12 calculators in the box. The total weight
of the box and calculators is 96 ounces. Which equation models the weight, w, in
ounces of each calculator?
47
48
49
A
6w + 12 = 96
B
6 + 12w = 96
C
6 + 96 = 12w
D
12 + 96 = 6w
Daisy ran m miles training for a race. One mile is approximately 1.6 kilometers.Which
expression shows the approximate number of kilometers Daisy ran?
A
m + 1.6
B
m
1.6
C
1.6
m
D
1.6
m
A blank trophy costs $20. Each letter engraved on the trophy costs $3. Which
expression models the cost of a trophy with n letters engraved?
A
20 + 3n
B
20n + 3
C
(20 + 3)n
D
20 + 3 + n
Jeannine has at most $5 to spend on shipping a package. The shipping rates are $0.75
per pound.Which inequality can be used to show the possible number of pounds p that
Jeannine's package can weigh?
A
0.75p
5
B
0.75p
5
C
0.75 + p
5
D
0.75 + p
5
50
Nora wants to spend less than $25 at a store. She wants to buy a piece of jewelry that
costs j dollars and some socks that cost $3 per pair.Write an inequality that can be used
to show the number of pairs of socks, s, that Nora can buy with the money she has.Do
not use any words in your answer.
51
Caitlyn wants to save $300 for a new bike. She earns $9 an hour at her job.
Write an expression to show the dollar amount Caitlyn still needs to save after working
h hours.Do not use any words in your answer.
52
Use these equations to answer the following questions.
3w + 7 = x
5x – 4 = y
Part A
What does w equal if y equals 121? Show your work.
Part B
Given that 0.5y + 11 = z and z equals 11.5, what is the value of w? Show your work.
53
The cost of printing business cards is $0.05 per card plus $0.001 per letter on each card.
The cost for Paul to print 200 cards is $16.00. Which equation shows how to find the
number of letters printed on each card (L)?
54
A
L=
B
L=
C
L=
D
L=
Paula conducts a study, recording the total distance a forest has advanced into a grassy
valley. She uses this equation, where y is the number of years since Paula’s study
began, and f is the total number of feet the forest has advanced.
f = 3y + 54
If the forest has advanced into the valley 90 feet, how many years have passed since
Paula’s study began?
55
A
12 years
B
30 years
C
270 years
D
324 years
Barry plans to order a new computer monitor from a catalog.


Comp-U-Fast charges $4 plus $0.75 per pound for shipping.
Megachine charges $10 plus $0.50 per pound for shipping.
Part A
Write an expression for the shipping costs Comp-U-Fast charges for a monitor
weighing p pounds.
Part B
What is the weight of a monitor if the shipping costs from Comp-U-Fast and
Megachine are the same? Show your work.
Part C
For the computer monitor Barry wants, Megachine charges less for shipping than
Comp-U-Fast. What must be true of the weight of this computer monitor? Explain your
reasoning.
56
57
Lucy makes and sells photo albums. Her monthly expenses are $600 plus $2 for each
album she sells. Her income for each album sold is $10. The inequality below can be
used to find the least number of albums Lucy should sell so that her income is greater
than her expenses.
600 + 2a < 10aWhich values of a make this inequality
true?
A
a > 75
B
a > 60
C
a > 50
D
a > 45
Rosemary’s class wants to donate at least 120 cans during a two-week food drive.
There are 15 students in the class. The first week, each student brings in 3 cans. The
inequality below shows the number of cans, c, each student should bring the second
week.
58
59
60
15(3 + c) 120Solve the inequality for c.
A
c 5 cans
B
c 11 cans
C
c 75 cans
D
c 165 cans
Viveca and her friend are buying some crawfish. The equation below can be used to
find the cost per pound, x, of the crawfish.
1.5x + x = 10What is the value
of x?
A
4
B
6
C
7.5
D
8.5
Use the inequality below to answer this question.
320 + 12(h 40)
440Mr. Morris earns $320 dollars a week working his normal hours at a job. The
inequality above relates how many hours he would have to work to earn at least $440 in
one week. What values of h make this inequality true?
A
h
30
B
h
30
C
h
50
D
h
50
Cashews cost $3 per pound, and banana chips cost $6 per pound. Jerry bought x pounds
of each item and spent $36 in all. The equation below models this
situation.
(6 + 3)x = 36How many pounds of each item did Jerry buy?
A
3 pounds
B
4 pounds
C
6 pounds
D
9 pounds
61
Solve for y:
A
B
C
D
62
A small box of oat cereal has 5 fewer servings than a large box of the same cereal.
Michael has 3 small boxes of oat cereal. The total number of servings in these small
boxes is shown in the equation below.
3(x 5) = 27Solve the equation for
x, the number of servings in a large box of cereal. Show all your work.
63
Amanda needs to graph a line with at least one of these properties.


passes through the point (-2, 4)
has a slope of 1.5
Which graph cannot be the graph of Amanda’s line?
A
B
C
D
64
Which line has a slope of 1?
65
66
A
2x – 2y = -2
B
2x – y = 1
C
x – 2y = -1
D
2x + 2y = -2
Use the equation below to answer this question.
represents the slope of this equation?
A
2
B
8
C
x
D
y
Which graph has a y-intercept of 2 and a slope of -2?
A
y = 2x + 8What value
B
C
D
67
The intercepts of a line are shown below.
intercept = -2What is the slope of this line?
A
-2
B
-
C
D
68
2
Use the graph below to answer this question.
x-intercept = 4
y-
What is the slope of the line that is graphed on the coordinate grid?
69
70
A
-6
B
-3
C
2
D
3
Which equation contains the points (5, 3) and (2, 6)?
A
y=x+2
B
y=x
C
y=-x+8
D
y=-x
2
8
Which equation has a slope of -2?
A
2x + y = 7
B
2x
C
x + 2y = 7
y=7
D
71
x 2y = 7
Which graph shows the solution to this system of inequalities?
A
B
C
D
72
Jaden invests in silver and gold. He plans to sell his gold if both of these conditions are
met. Let G be the price per ounce of gold and S be the price per ounce of silver.


G > $500
10S < G
Which situation meets both of Jaden’s conditions for selling his gold?
73
A
Gold costs $600 per ounce and silver costs $75 per ounce.
B
Gold costs $400 per ounce and silver costs $35 per ounce.
C
Gold costs $600 per ounce and silver costs $55 per ounce.
D
Gold costs $400 per ounce and silver costs $65 per ounce.
The graph below models the distance, in miles, that Javier plans to travel
today.
Which statement is true?
74
A
Javier plans to travel at least 100 miles.
B
Javier plans to travel at most 100 miles.
C
Javier plans to travel fewer than 100 miles.
D
Javier plans to travel more than 100 miles.
Tori plans to buy x pounds of oats and y pounds of dried fruit. The inequality below
represents the total dollar amount Tori plans to spend for these items.
2x +
4y < 6Which graph models this inequality?
A
B
C
D
75
Which graph shows the solution to the system of inequalities below?
2y -2
x+y 3
A
x
B
C
D
76
Which ordered pair is a solution to the system of inequalities shown
below?
A
(1, 4)
77
78
B
(1, -4)
C
(-1, 4)
D
(-1, -4)
What is the solution to the inequality shown below?
A
x 1
B
x 1
C
x -1
D
x -1
7
3x -x + 5
A book company sells softcover and hardcover books.


They make a $5 profit on each softcover book sold.
They make a $10 profit on each hardcover book sold.
The inequality below models the number of softcover books, x, and hardcover books, y,
that should be sold to make a profit of at least $5,000.
5x + 10y
5,000Which graph shows the solution to this inequality?
A
B
C
D
79
Abram records the number of eggs (e) a chicken lays while being fed m milliliters of a
special supplement. He draws this line of best fit for the data.
Which function matches Abram’s line of best fit?
80
A
e = 0.2m + 6
B
e = 0.4m + 6
C
e = 0.6m + 2
D
e = 0.6m + 4
Which situation can be modeled by the expression 10 + 2x?
A
B
Ron has $10. Each day, he doubles his money. How much money does he
have after x days?
Jim has 10 trees. Each year, he cuts down 2 trees. How many trees does he
have after x years?
Robin has 10 pens. Each month, she loses 2 pens. How many pens does she
C
have after x months?
Dana has 10 CDs. Each week, she buys 2 new CDs. How many CDs does she
have after x weeks?
D
81
Which table of values is modeled by the graph shown below?
A
B
C
D
82
The graph below shows the relationship between the cups of pancake mix used, x, and
the number of pancakes made,
y.
shows the same relationship?
83
A
y= x
B
y= x
C
y = 2x
D
y = 4x
What equation
David bought some blank video tapes and a video tape holder. The table below shows
the total cost in dollars, y, for x video tapes and a video tape holder.
x
y
5
10
10
15
15
20
20
25
Which equation also shows this relationship?
84
A
y=x+5
B
y = x + 10
C
y = 5x + 5
D
y = 5x + 10
Use the table below to answer this
question.
The table above
shows the price for different numbers of business cards. Which equation models the
total cost, C, of b business cards?
85
A
C=b
85
B
C = 5b + 10
C
C = 0.10b + 5
D
C = 0.05b + 10
The function below represents the average distance, in miles, a train travels in m
minutes.
f(m) = mWhich graph models this function?
A
B
C
D
86
The graph below models the shipping charges y, in dollars, for catalog orders weighing
x pounds.
Write an equation in slope-intercept form that shows the relationship between the
shipping charges and weight of an order.Use the variables x and y in your equation.Do
not use any words in your answer.
87
Which equation shows a way to find the x-value of the intersection of this graph?
88
A
0.1x + 7 = 2x
B
0.2x + 7 = 2x
C
0.1x + 7 = 2.5x
D
0.2x + 7 = 2.5x
Gabby multiplies the second row of the matrix below by 2 and then adds the rows.
What is the resulting matrix?
A
B
C
D
89
Which graph shows the solution to the system of equations below?
+1
y = -x 5
A
y = 2x
B
C
D
90
91
The sum of two numbers is 5. The difference between the two numbers is 11. The
equations below model this situation.
x+y=5
x y=
11What is the value of one of these numbers?
A
-3
B
-2
C
2
D
3
Mark drank a total of 10 glasses of water and iced tea yesterday. Each glass of water
contained 8 ounces. Each glass of iced tea contained 12 ounces. All together, he drank
96 ounces. The system of equations below models this situation.
x+y=
10
8x + 12y = 96How many glasses of water did Mark drink yesterday?
A
3 glasses
B
4 glasses
92
93
C
5 glasses
D
6 glasses
Look at the system of equations shown below.
(a) 3x 4y = 1
(b) 6x – 3y = 3
Which could be the first steps to solve this system of equations by elimination?
A
Multiply equation (a) by 2, then add the two equations.
B
Multiply equation (a) by -2, then add the two equations.
C
Multiply equation (b) by 4, then add the two equations.
D
Multiply equation (b) by -4, then add the two equations.
The perimeter of a rectangle is 26 meters. The base of this rectangle is 3 meters longer
than its height. The equations below can be used to find the dimensions of the
rectangle.
2b + 2h = 26
b=h+3
What are the
dimensions, in meters, of this rectangle? Show your work or explain how you know.