TEST NAME: Equations and Expressions
TEST ID: 598275
GRADE: 07
SUBJECT: Mathematics
TEST CATEGORY: School Assessment
Equations and Expressions
Page 1 of 61
Student: Class:
Date:
Read the passage ­ 'Lisa's Garden' ­ and answer the question below:
Lisa's Garden
Lisa's Garden
Lisa wants to grow her own fruits and vegetables, so she has decided to plant a
garden in her backyard. Before she starts planting, she makes a scale drawing of
her plans for the garden.
The garden will require a lot of preparation before Lisa can plant any seeds. First,
Lisa is going to build a fence around her garden to keep out rabbits and other
animals. She will then pull out all of the weeds from the area and add topsoil to
the ground where her garden will be. Lisa will cover the area of the garden in a
layer of topsoil that is 4 inches deep. The topsoil will improve the texture of the
soil and increase the amount of nutrients available to the plants, making it more
likely that they will thrive.
Lisa has decided to plant a variety of fruits and vegetables in her garden. She plans
to divide the garden into rows and plant seeds from only one kind of plant in each
row. Different kinds of plants will be grown in different numbers of rows and will
require a different number of seeds for each row. Lisa has created a table to show
her plans for the garden.
Lisa also intends to build a shed next to her garden to store her tools and garden
supplies. The shed will be a rectangular prism with the dimensions as shown in her
diagram below. Equations and Expressions
Page 2 of 61
The shed will be made from wood and will have one door, which will be 5 feet tall
and 3 feet wide. Lisa is going to paint the outside walls, the door, and the roof of
the shed with a paint that will protect it from the weather. The paint she is using
covers 50 square feet per quart of paint.
Lisa feels confident that all of her planning will help create a garden that will
supply her with fresh fruits and vegetables all summer long. 1.
Read "Lisa's Garden" and answer the question.
Lisa wrote the expression below to determine the number of quarts of
paint she will need to paint the shed, where h represents the height of
the shed and n represents the number of square feet that a quart of
paint covers.
Which of these shows the simplified expression Lisa should use?
A.
B.
C.
D.
Equations and Expressions
Page 3 of 61
2.
Which of the following expressions is equivalent to A.
B.
C.
D.
3.
Which expression is equivalent to 4x – 6x + 12 – 20 – 5x?
A.
–
3x – 8
B.
–
7x – 8
C.
–
15x
4.
There are 27 students in a 7th grade class. For a fundraiser, each student
sells 50 candy bars that cost $0.75 each. If the class gets to keep 40%
of the profit from the sales, how much money does the class get to keep?
A.
$15.00
B.
$405.00
C.
$607.50
D.
$1,012.50
5.
Kate went on a run. She ran of a mile east, then of a mile west.
She turned around and ran 2.5 miles east, and then 3.25 miles west. How
far and in which direction from her starting point is Kate after her run? A.
miles east
B.
miles west
C.
miles east
D.
miles west
Equations and Expressions
Page 4 of 61
6.
Brett rented a paddle boat. It cost $6.50 to rent the boat, plus $2.25 per
hour. For a fraction of an hour, a proportional amount is charged. Brett
used the paddle boat for hours. Brett paid with a 20­dollar bill. How
much change did Brett receive? A.
$11.25
B.
$10.12
C.
$9.88
D.
$8.75
7.
Which expression is equivalent to ?
A.
B.
C.
D.
8.
Which inequality has 3 in its solution set?
A.
6n + 4 < 20
B.
6n − 4 > 20
C.
6n + 4 > 20
9.
Jordan earns $11.35 per hour and works 40 hours per week. He then
earns a 20% pay raise. How much money will Jordan now make each
week?
A.
$363.20
B.
$454.00
C.
$463.08
D.
$544.80
Equations and Expressions
Page 5 of 61
10.
Ingrid is buying a pair of pants with an original cost of c dollars. The
pants are on sale for 15% off their original cost. Which two calculations
could Ingrid perform in order to find the amount she needs to spend?
A.
and B.
and C.
and D.
and 11.
Which expression is equivalent to
A.
6x + 6
B.
– 3x – 12
C.
– 3x – 6
D.
–
?
3x + 6
12.
Clark makes $9 per hour at his job. Each week he spends $16 from his
earnings to buy a bus pass. He was left with $182 last week after buying
his bus pass. To the nearest hour, how many hours did Clark work?
A.
12
B.
18
C.
20
D.
22
13.
What is the value of x in the equation ?
A.
B.
C.
D.
Equations and Expressions
Page 6 of 61
14.
Robert’s mom gave him $9 to buy groceries. She told him to buy a loaf of
bread and as many quarts of milk as he could with the money she gave
him. A loaf of bread costs $2.20 and a quart of milk costs $1.20. If
x represents the number of quarts of milk Robert buys, which inequality
represents this situation?
A.
B.
C.
D.
15. An animal shelter receives $25.00 to purchase items for dogs. A bowl is bought for $4.00 and a collar for $2.20.
Dog treats cost $2.00 each. What is the maximum number of dog treats the shelter can buy?
A.
18
B.
12
C.
11
D.
9
16.
Which expression is equivalent to –0.25(x – 6) – (0.5x + 2)?
A.
–
0.75x + 3.5
B.
–
0.75x – 0.5
C.
–
0.75x – 4
D.
–
0.75x – 8
Equations and Expressions
Page 7 of 61
17.
Bart gave
of p, his penny collection, to his big brother. When Bart’s
dad asked how many pennies he had left, Bart multiplied the number of
pennies he started with by
and subtracted that answer from the
original number.
Which expression could he have used more easily to determine how many
pennies he had left?
A.
B.
C.
D.
18.
Which equation is equivalent to “ten less than twice a number, n, is
sixteen”?
A.
10 − 2 + n = 16
B.
10 + 2 – n = 16
C.
10 − 2n = 16
D.
2n − 10 = 16
Equations and Expressions
Page 8 of 61
19.
Elijah is making a batch of cookies.
He needs cups of butter.
A pound of butter cost $3.50.
A pound of butter contains 2 cups.
What is the cost of butter for the batch of cookies?
A.
$1.75
B.
$2.33
C.
$2.63
20.
What is the simplified form of 6n – 17p – 10n – 9p?
A.
– 4n – 8p
B.
– 4n – 26p
C.
16n – 8p
D.
16n – 26p
21.
Tommy charges $20 to mow a lawn. He will also trim bushes for an
additional cost of $2 per bush. His goal is to earn at least $30 a day. If
he mows only one lawn today, which inequality represents the number of
bushes, n, he would need to trim to meet his goal?
A.
n ≥ 2
B.
n ≥ 5
C.
n ≤ 5
D.
n ≤ 20
Equations and Expressions
Page 9 of 61
22.
Which graph represents the solution of 2x − 3 ≤ 5?
A.
B.
C.
D.
23.
The total bill for Mr. Johnson to eat at a restaurant was $16.42. He left a
20% tip. Which expression would calculate the amount of tip that Mr.
Johnson left?
A.
16.42(0.02)
B.
16.42(0.20)
C.
16.42(0.80)
D.
16.42(1.20)
24. Which expression is equal to the following expression?
A.
B.
C.
D.
Equations and Expressions
Page 10 of 61
25.
Benito earns $250 per week giving surfing lessons plus $75 for each
surfboard he sells. If Benito wants to earn at least $500 this week, which
inequality could be solved to find x, the number of surfboards he needs
to sell?
A.
B.
C.
D.
26.
Which equation shows that twice a number x decreased by twelve is ten?
A.
12 – 2x = 10
B.
2x − 12 = 10
C.
2(x – 12) = 10
27.
A neighborhood group has $28,000 to spend on improvements to a park.
They spend $7,600 on playground equipment and $115 on each tree.
Which inequality represents the maximum number of trees, t, that the
group can buy?
A.
115t + 7,600 ≤ 28,000
B.
115t + 7,600 ≥ 28,000
C.
115t – 7,600 ≤ 28,000
D.
115t – 7,600 ≥ 28,000
28.
A band will sell CDs of their music at their concert for $5.00 each. The
band ordered 300 CDs at a cost of $1.25 each. Which inequality
represents the number of CDs, n, the band needs to sell to make a profit
of at least $500?
A.
n ≥ 175
B.
n ≥ 133
C.
n ≥ 100
D.
n ≥ 75
Equations and Expressions
Page 11 of 61
29.
What is the value of z in the equation ?
A.
B.
C.
D.
30.
Mr. Roshan will buy pounds beef for a cookout. The price for the first
3 pounds of beef is $4.99 per pound. After that, the price is $4.49 per
pound. How much will Mr. Roshan pay for the beef?
A.
$62.38
B.
$57.63
C.
$56.13
D.
$22.41
31.
The chart below shows the highest quiz score Cynthia received in four of
her classes.
Class English
Science
Highest Quiz Score 13 out of 14 correct
93%
Math
History
In which class did she have the highest score?
A.
English
B.
Science
C.
Math
D.
History
Equations and Expressions
Page 12 of 61
32.
What is the value of m in the equation A.
–
27
B.
–
30
C.
– 108
D.
– 117
?
33.
John bought 1 pound of potatoes and 3 pounds of tomatoes at the
grocery store. He paid a total of $11.75. If potatoes cost $2.48 per
pound, what is the cost of a pound of tomatoes?
A.
$3.09
B.
$4.31
C.
$6.27
D.
$9.27
34.
Which expression is equivalent to A.
4x – 7
B.
4x + 2
C.
–
D.
– 4x + 2
?
4x – 7
35.
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in
the taxi from his home to the airport and was charged $30. How many
miles does Mr. Lewis live from the airport?
A.
18
B.
20
C.
22
Equations and Expressions
Page 13 of 61
36.
Four brothers each received $20.00 for helping neighbors with yard work.
The chart below shows how much of their money each brother spent.
Name of Money Spent Brother Josh
0.3
Ralph
Marcus
Trevor
20%
$4.50
Which brother spent the most money?
A.
Josh
B.
Ralph
C.
Marcus
D.
Trevor
37.
A store purchased jeans for $15 a pair. The store increased the price of
the jeans by 65%. One month later, the jeans were on sale for ­off the
store price. How much would a customer pay for the jeans on sale?
A.
$12.75
B.
$19.80
C.
$24.75
D.
$29.70
38.
Terry earns a salary of $36,000 per year. He is paid once per month. He
receives a 2.5% pay raise. How much more money is Terry earning each
month?
A.
$25
B.
$75
C.
$90
Equations and Expressions
Page 14 of 61
39.
Which graph is the solution to the inequality –3x − 6 > 9?
A.
B.
C.
D.
40.
At a local fair, a hamburger cost $2.50, and a drink cost $1.50. Which
expression represents the cost of x number of hamburgers and y number
of drinks?
A.
4.00xy
B.
4.00 + x + y
C.
2.50x + 1.50y
D.
2.50 + x + 1.50 + y
41.
Cathy wants to buy a sweater with a price tag of $25. The store is having
a 40%­off sale on all clothing. Which expression represents the sale
price of the sweater?
A.
25(0.04)
B.
25(0.40)
C.
25 – 25(0.04)
D.
25 – 25(0.40)
42.
What is the solution to the inequality A.
x < –34
B.
x > –34
C.
x < 38
D.
x > 38
?
Equations and Expressions
Page 15 of 61
43.
Solve for x:
A.
B.
C.
D.
44. If j represents the original cost of a soccer jersey, which statement describes the equation?
A.
Decreasing the original cost of a jersey by 3% is the same as multiplying the cost by 7%.
B.
Decreasing the original cost of a jersey by 30% is the same as multiplying the cost by 70%.
C.
Increasing the original cost of a jersey by 3% is the same as multiplying the cost by 7%.
D.
Increasing the original cost of a jersey by 30% is the same as multiplying the cost by 70%.
45.
Which equation is equivalent to A.
B.
C.
D.
46.
Michael is paid x dollars an hour. He received a 10% raise. Which
expression can Michael use to calculate his new hourly wage?
A.
1.10x
B.
0.10x
C.
1.10 + x
D.
0.10 + x
Equations and Expressions
Page 16 of 61
47.
Jason purchased 10 shirts for the members of a school club. Each shirt
cost $4.99. Jason had a coupon for 20% off his total purchase. Sales tax
was 7% after the discount. What was the total cost for the shirts?
A.
$42.71
B.
$39.99
C.
$36.90
D.
$36.43
48.
In a high school basketball game, Sarah scored 10 points in the first half
of the game. In the second half, Sarah scored only 3­point shots. Sarah
scored a total of 31 points during the entire game. How many 3­point
shots did Sarah make in the second half?
A.
5
B.
7
C.
10
D.
14
49.
Which graph is the solution to the inequality –3x + 2 ≤ 14?
A.
B.
C.
D.
Equations and Expressions
Page 17 of 61
50.
Margo and Jeremy each have x baseball cards. They put some of their
baseball cards in one album. Then, a friend gave them 8 more baseball
cards to complete the album. Margo and Jeremy then filled two more
albums with the same number of baseball cards as in the first album. Which expression best represents the total number of baseball cards in
all three albums?
A.
2(2x) + 8
B.
3(2x) + 8
C.
2(2x + 8)
D.
3(2x + 8)
51. A customer bought a package of 12 cookies for $5.40 at a bake sale. The customer also bought additional
cookies at $0.50 per cookie. If the total cost of the cookies was $8.40, how many total cookies were purchased?
A.
6
B.
12
C.
18
D.
24
52.
David is buying a television that is regularly priced at $450. The
television is on sale for 20% off. Sales tax is 7%. Which expression will
calculate the final price of the television?
A.
450(0.856)
B.
450(0.870)
C.
450(1.116)
D.
450(1.270)
Equations and Expressions
Page 18 of 61
53.
Four students wrote expressions using the variable t below. If t
represents a positive integer, whose expression has the greatest value?
A.
Angelo
B.
Brian
C.
Chrissy
D.
Devon
54.
Jeremy has $36 saved. He wants to have $300 for a trip next year. He
will save the same amount of money each month for the next 12 months.
How much money will Jeremy need to save each month?
A.
$22
B.
$24
C.
$25
D.
$28
55.
Which expression is equivalent to ?
A.
B.
C.
D.
Equations and Expressions
Page 19 of 61
56.
Which graph shows the solution to the inequality –2x ≤ –10?
A.
B.
C.
57.
What is the solution to the inequality –8x + 4 < –4?
A.
x > 0
B.
x < 0
C.
x > 1
D.
x < 1
58.
Which expression is equivalent to 7w – 7z + 4w – 5z?
A.
2w – 3z
B.
4w – 5z
C.
11w – 12z
Equations and Expressions
Page 20 of 61
59.
There were 20 drinks in a cooler. Joey drank 15% of the drinks.
Sandra drank of the drinks.
Hannah drank of the drinks.
Tammy drank 30% of the drinks.
How many drinks are left in the cooler?
A.
0
B.
2
C.
5
D.
9
60. A group of 14 friends went to a basketball game and paid a total of $70 for their admission tickets. They received
a discount of $2 off the original price (p) of each ticket. What is the value of p?
A.
$3
B.
$5
C.
$7
D.
$9
61.
Simplify the expression 7 − x −(−5x) − 10 + 4x.
A.
8x−3
B.
8x+17
C.
9x−3
D.
9x+17
62.
Which inequality is equivalent to the statement, 'a number, n, decreased
by 2 is greater than or equal to 8'?
A.
n ≤ 6
B.
n ≥ 6
C.
n ≤ 10
D.
n ≥ 10
Equations and Expressions
Page 21 of 61
63.
A repairman charges $55 for a home visit plus $45 per hour for the time
he spends making repairs. How many hours did he work if he was paid
$212.50 for a home visit? Round to the nearest tenth.
A.
2.1 hours
B.
3.0 hours
C.
3.5 hours
D.
5.9 hours
64.
Curtis earns $13 per hour. He receives a pay raise of 7%. Which
expression will calculate the amount Curtis earns per hour after his raise?
A.
13 + 0.07
B.
13 + 1.07
C.
13(0.07)
D.
13(1.07)
65.
What is the result when is subtracted from A.
B.
C.
D.
66.
What is the simplified form of 8x – 11v + 17x + 5v?
A.
19xv
B.
25x – 6v
C.
25x – 16v
D.
– 3x + 22v
Equations and Expressions
Page 22 of 61
67.
Which expression is equivalent to –0.6(1.2x + 4.5) – 3(2.8x – 4)?
A.
–
9.12x + 9.3
B.
–
9.12x + 41
C.
– 7.68x + 9.3
D.
– 7.68x + 41
68. An employee worked 8 hours at $10 per hour plus an additional hours at 1.5 times his hourly salary. How
much did the employee get paid?
A.
$83.75
B.
$105.00
C.
$117.50
D.
$123.75
69.
Which expression is equivalent to p − 3r − 3r + 2p?
A.
3p – 6r
B.
p – 6r
C.
p – 4r
70.
What is the solution to the inequality below?
30 < 2x + 16
A.
x > 7
B.
x < 7
C.
x > 23
71. Which expression is equivalent to A.
B.
C.
D.
Equations and Expressions
Page 23 of 61
72.
Which is equivalent to the expression –7.5x + 12.5?
A.
5x
B.
– 2.5(3x – 5)
C.
– 2.5(3x + 5)
D.
2.5(–3x + 12.5)
73.
Erin earns a 12% commission on the furniture she sells. On Monday, she
sold $4,500 worth of furniture. Which expression could Erin use to
calculate the amount of money she earned?
A.
4,500(0.12)
B.
4,500(0.88)
C.
4,500(1.12)
74.
David has $100 to spend on clothes for school.
He has a coupon for $10 off when he spends at least $50.
He buys a pair of pants for $27.99, two t­shirts for $12.99 each, and a
pair of shoes for $34.99.
The sales tax is 8% of the total after the coupon is applied.
How much money will David have left after his purchases?
A.
$3.92
B.
$11.04
C.
$14.72
D.
$28.75
Equations and Expressions
Page 24 of 61
75.
Which is equivalent to the expression ?
A.
B.
C.
D.
76.
A gas grill is on sale for 40% off the original cost. The original cost is
$199. Sales tax is 6%. Which expression should be used to calculate the
final cost of the gas grill?
A.
199(0.40)(0.06)
B.
199(0.60)(0.06)
C.
199(0.60)(1.06)
77.
Melanie is going to a book sale. All the books are priced for $2 each,
including sales tax. She can spend no more than $15. Which inequality
represents the number of books Melanie can buy?
A.
x ≤ 7
B.
x ≥ 7
C.
x ≤ 8
78. Which expression is equal to A.
B.
C.
D.
Equations and Expressions
Page 25 of 61
79.
At a clothing store, jackets are on sale for 30% off. Sales tax is 5%.
Which expression will calculate the total cost of a jacket with an original
price of x?
A.
x(0.35)
B.
x(0.75)
C.
x(0.70)(1.05)
D.
x(0.70)(0.05)
80.
An item was purchased for m dollars, which includes sales tax. Sales tax
was 7%. Which expression represents the price of the item before sales
tax?
A.
m + 0.07
B.
m – 0.07
C.
m × 1.07
D.
m ÷ 1.07
81.
Quinn had $4.00. He spent of his money on a baseball card, of it on
a drink, and of it on bubble gum. How much money does Quinn have
left?
A.
$0.25
B.
$0.50
C.
$1.00
D.
$1.25
82.
Jennifer bought a coat that was 25% off the regular price. If the coat
originally cost $88.96, which expression could be used to find the
discount?
A.
88.96 + (0.75 × 88.96)
B.
88.96 + (0.25 × 88.96)
C.
0.25 × 88.96
D.
0.75 × 88.96
Equations and Expressions
Page 26 of 61
83.
Which expression is equivalent to (2x + 4) – (6x + 5)?
A.
– 4x – 1
B.
–
C.
8x + 9
4x + 9
84.
John took his family out to dinner. The cost of the dinner was $42.50.
John would like to leave a 20% tip. Which expression would calculate the
amount of tip John should leave?
A.
42.50(0.20)
B.
42.50(0.80)
C.
42.50(1.20)
85.
James has $360 in his savings account. If he decides to save $90 every
month, which of these best describes how many months it will take for
him to have more than $810 in his savings account?
A.
less than 5 months
B.
less than 9 months
C.
more than 5 months
D.
more than 9 months
86. Nina set a goal to walk at least 10 miles per week. She plans to walk the same distance (d) each weekday and a total of 9
miles each weekend. Which inequality shows all the possible values for d that would allow Nina to meet her goal?
A.
B.
C.
D.
Equations and Expressions
Page 27 of 61
87.
Joel spent $90 at the grocery store before sales tax. Sales tax on food is
2%. Which expression would calculate the final price of Joel’s groceries?
A.
90 – 2
B.
90 + 2
C.
90(0.98)
D.
90(1.02)
88.
Brian made 5 free throws at basketball practice. Ethan scored 3 more
than twice the number of free throws Brian made. Which equation
represents the number of free throws, t, Ethan made?
A.
B.
C.
D.
89.
A cell phone company charges a service fee of $10.00 each month plus
$0.03 for each minute used. A customer wants to spend no more than
$42.00 each month. Which inequality can be used to find the maximum
number of minutes, m, that the customer can use each month?
A.
0.03m + 10 ≥ 42
B.
0.03m + 10 ≤ 42
C.
10m + 0.03 ≥ 42
D.
10m + 0.03 ≤ 42
90.
Jane drove 230 miles at an average speed of 50 miles per hour. How
many minutes was Jane driving?
A.
2.6 minutes
B.
4.6 minutes
C.
180 minutes
D.
276 minutes
Equations and Expressions
Page 28 of 61
91.
Amanda has 5 pieces of wire that are each the wire into ft long. She wants to cut
ft long pieces. Any extra wire will be considered scrap.
How much scrap wire will Amanda have?
A.
ft
B.
ft
C.
ft
D.
ft
92.
Nicole earned $75. She put of her money into her savings account. She
bought a shirt for $17.11 and a sweater for $26.74. How much money
does Nicole have left?
A.
$6.15
B.
$9.65
C.
$18.85
D.
$31.15
93.
Shane has $6 more than three times the amount of money that Jerry has.
If Shane has more than $99, which inequality represents the number of
dollars (j) Jerry could have?
A.
B.
C.
D.
Equations and Expressions
Page 29 of 61
94. Phoebe is creating a border for a rectangular poster. The poster has a length that is 4 inches longer than its
width, as shown below.
If the perimeter of the poster is 60 inches (in.), what is the length of the poster?
A.
13 in.
B.
15 in.
C.
17 in.
D.
19 in.
95.
Julie has $200 to plan a dance. There is a one­time fee of $150 to
reserve a room. It also costs $1.50 per person for food and drinks. What
is the maximum number of people that can come to the dance?
A.
33
B.
34
C.
100
D.
133
96.
Jeremy ordered 3 large pizzas and had them delivered to his home. The
total cost of the pizzas, including a $6 delivery charge, was $42. Each of
the pizzas was the same price. What is the cost of one pizza?
A.
$8
B.
$12
C.
$14
D.
$16
Equations and Expressions
Page 30 of 61
97.
Thomas planted four different vegetables in a garden.
of the garden was planted with broccoli.
of the garden was planted with carrots.
of the garden was planted with lettuce.
of the garden was planted with tomatoes.
What fraction of the entire garden did Thomas use to plant the four
vegetables?
A.
B.
C.
D.
98.
The number line shows the solution to the inequality 3x−2
4.
Based on the number line, which symbol should be placed in the box to
complete the inequality?
A.
<
B.
>
C.
≤
D.
≥
Equations and Expressions
Page 31 of 61
99.
Hank’s age is 5 more than three times John’s age. Hank is 29 years old.
How old is John?
A.
5
B.
8
C.
11
D.
14
100.
All coats are on sale for 25% off the original price. Michael is buying a
coat that is originally priced at $49. Sales tax is 6%. Which expression
would calculate the final price of a coat?
A.
49(0.25)(0.06)
B.
49(0.25)(1.06)
C.
49(0.75)(0.06)
D.
49(0.75)(1.06)
101.
What is the simplified form of 24m – 135m ÷ (–3)3 ?
A.
4m
B.
6m
C.
19m
D.
29m
102.
James has 16 ounces (oz.) of cookie dough. If he uses 0.56 oz. of cookie
dough for each cookie, what is a reasonable estimate of how many
cookies he can make?
A.
9
B.
16
C.
24
D.
30
Equations and Expressions
Page 32 of 61
103.
Ingrid buys food costing $110. She pays a 2.5% sales tax on the food.
Which expression will calculate the total cost of the food including tax?
A.
110(1.025)
B.
110(0.025)
C.
110 + 2.50
104. A child drinks cups of milk twice a day. If a container of milk has 15 cups of milk remaining for the child to
drink, in how many days will the container be empty?
A.
5
B.
8
C.
10
D.
15
105.
Carol bought 2 pairs of jeans at $24 each and 3 shirts. She spent a total
of $75 before tax. What is the cost of 1 shirt?
A.
$8
B.
$9
C.
$17
106.
A computer store sells computers for 10% more than they pay for them.
If the store pays x dollars for a computer, which expression would
represent the price for which the store would sell the computer?
A.
B.
C.
D.
Equations and Expressions
Page 33 of 61
107.
Which expression is equivalent to –2(m – n + 2) – 0.5(2m – 6n)?
A.
– m – 7n + 2
B.
– m + 5n – 4
C.
–
D.
– 3m + 5n – 4
3m – 7n + 2
108.
Which expression is equivalent to 3(m + 2) − 4(2m − 9)?
A.
m − 11
B.
– 3m + 7
C.
– 5m − 30
D.
– 5m + 42
109.
A necklace in a jewelry store has a price of $900. The store has added
an 80% markup on the necklace. Which expression would calculate the
amount the store paid for the necklace?
A.
$900(1.8)
B.
$900(0.8)
C.
$900 ÷ 1.8
D.
$900 ÷ 0.8
110.
A ticket to the school dance increases by 20% from the original price, p.
James and Matt want to determine the new price. James uses the
expression 1.20p. Matt uses the expression p+0.20p. Which statement
best describes these expressions?
A.
James uses the correct expression, but Matt does not.
B.
Matt uses the correct expression, but James does not.
C.
Both Matt and James use correct expressions.
D.
Neither Matt nor James uses correct expressions.
Equations and Expressions
Page 34 of 61
111.
Donna buys 4 hardcover books for h dollars each and 5 paperback books
for p dollars each. Sales tax is 7%. Which expression represents the
total cost of Donna’s purchase?
A.
(4h + 5p)(1.07)
B.
(4h + 5p)(0.07)
C.
(4h + 5p) + 1.07
D.
(4h + 5p) + 0.07
112.
The French club is selling shirts as a fundraiser. The shirts will be sold
for $8 each. If the club already has $25 in its fund and needs to raise at
least $150, what is the minimum number of shirts it must sell? A.
22
B.
21
C.
16
D.
15
113.
A student has $8,500 each semester to spend for college. The classes at
the student’s college cost $1,535 each and the student fees are $1,005
per semester. What is the maximum number of classes, c, that the
student can take each semester?
A.
4
B.
5
C.
6
D.
7
Equations and Expressions
Page 35 of 61
114.
Linda and James each wrote an expression using the variables a, b, and
c.
Linda’s expression: James’s expression: What is the sum of the two expressions?
A.
B.
C.
D.
115.
Which expression is equivalent to –2.5(7.5 – 3x)?
A.
–
B.
– 3x + 5
C.
7.5x – 18.75 D.
7.5x + 5 3x – 18.75
116.
A pair of jeans is on sale for 20% off. If x represents the regular price of
the jeans, which expression could be used to find the sale price of the
jeans?
A.
0.20x
B.
0.80x
C.
1.20x
117.
What is the value of x in the equation 24 = 12 – 4x?
A.
–
B.
–6
C.
–
9
3
Equations and Expressions
Page 36 of 61
118.
Melinda is paid $1,200 per month plus 8% of her sales for the month.
Which expression would calculate Melinda’s monthly pay for x amount of
sales?
A.
1,200(0.08x)
B.
1,200(.08) + x
C.
1,200 + 0.08x
D.
1,200 + 0.08 + x
119.
What is (6p + x + 2) + (3p − 3x − 5) in simplest form?
A.
6px + 7
B.
6px − 3
C.
9p + 4x + 7
D.
9p – 2x – 3
120.
Andrew studied x hours on Monday, y hours on Tuesday, and z hours on
Wednesday. Which expression represents the average number of hours
per day Andrew studied?
A.
B.
C.
D.
121. Mrs. Trevino was asked to provide at least 120 bagels for a workshop. She already has 2 dozen bagels. Mrs.
Trevino will buy the remaining bagels in packages of 6. Which inequality shows all the values of x if x equals
the number of packages of bagels she could buy, beginning with the minimum value of x?
A.
B.
C.
D.
Equations and Expressions
Page 37 of 61
122.
Which expression is equivalent to ?
A.
B.
C.
D.
123.
Melanie is 5 years older than 3 times the age of Tonya. Melanie is
29 years old. How old is Tonya?
A.
5
B.
8
C.
11
D.
15
124. A shirt cost $14.44 after a discount of 15% off the original price. Which equation could be used to find the
original price (x) of the shirt?
A.
B.
C.
D.
125.
Which graph shows the solutions to the inequality 6y – 12 ≥ –6?
A.
B.
C.
Equations and Expressions
Page 38 of 61
126.
Which graph represents the solution to 5 times a number, n, is less than
65?
A.
B.
C.
D.
127.
Sammy and 4 friends went out to lunch together. They all ordered the
same thing for lunch. Sammy was the only one who ordered dessert,
which cost $3.75. The total bill was $27.50 before tax and tip. Sammy
paid for his own dessert. How much did each person’s lunch cost?
A.
$4.75
B.
$5.50
C.
$6.25
D.
$6.88
128.
The original price of a computer is $599.99. Suzie has a 15%­off coupon
for the computer. A sales tax of 7% will be added to the sale price of
the computer. Which expression would calculate how much Suzie will
pay for the computer?
A.
$599.99(0.85)(1.07)
B.
$599.99(0.85)(0.07)
C.
$599.99(0.15)(1.07)
D.
$599.99(0.15)(0.07)
129.
Karen is buying a television that has a regular price of $600. It is on
sale for 20% off. Sales tax is 6%. Which expression should Karen use to
calculate the price of the television after the discount and sales tax?
A.
600(0.20)(0.06)
B.
600(0.80)(1.06)
C.
600(1.20)(0.94)
Equations and Expressions
Page 39 of 61
130.
What is the simplified form of 4r + 5s – 16r + 3s?
A.
28rs
B.
– 4rs
C.
9r – 13s
D.
–
12r + 8s
131.
A 7th grade classis selling packages of cotton candy at a festival for
$2.95 each. Each package costs them $0.95 to make. They expect to sell
between 900 and 1,000 packages of cotton candy during the festival.
What is a reasonable estimate of the class’s profit?
A.
$900
B.
$1,000
C.
$2,000
D.
$3,000
132.
Kara sells bracelets for $5 each. She represents the price of bracelets
with the expression Which expression represents another way Kara
could determine the price of bracelets?
A.
B.
C.
D.
133.
Three children took toys from a box. The first child took 4 toys. The
second child took half of the remaining toys. The third child took the
last 6 toys. How many toys were in the box at the beginning?
A.
16
B.
18
C.
20
D.
24
Equations and Expressions
Page 40 of 61
134.
Which expression is equivalent to A.
– 4p – 14
B.
– 4p + 14
C.
–
14p
D.
–
18p
?
135.
What is the value of x in the equation 3 + 6x = –15?
A.
–3
B.
–2
C.
2
D.
3
136.
A teacher bought a bag of candy with 240 pieces.
She gave 30% of the pieces to another teacher.
She put half of what was left in the bag into a jar on her desk.
She gave the 25 students in her class an equal amount of the
remaining candy in the bag.
How many pieces of candy does the teacher have left in the bag?
A.
0
B.
9
C.
11
D.
15
137.
Dolphin 1 dove 200 feet under water. Dolphin 2 dove 30% farther. After
Dolphin 2 dove down, it ascended feet and then descended feet. How far under the water is Dolphin 2?
A.
295 feet
B.
275 feet
C.
245 feet
D.
215 feet
Equations and Expressions
Page 41 of 61
138.
A photographer rented a booth at an art fair for $630. The photographer
sold each photograph for $45 and made a total of $1,980 after paying
for the booth. How many photographs did the photographer sell at the
fair?
A.
14
B.
30
C.
44
D.
58
139.
Mary bought 3 hamburgers and 2 sodas for $7.50. A soda costs $0.75.
Tax is included in the prices. What is the cost of one hamburger?
A.
$1.50
B.
$2.00
C.
$2.50
D.
$3.00
140.
If , then what does A.
16
B.
12
C.
8
D.
6
equal?
141.
Which graph shows the solution to the inequality 4x + 10 < 34?
A.
B.
C.
D.
Equations and Expressions
Page 42 of 61
142.
Walter bought a used car for $3,500. He made a down payment of the
purchase price. He will take out a loan for the remaining balance. By the
time he pays off the loan, Walter will have paid the amount of the loan
plus 20% of the loan. What is the total amount that Walter will spend
on the car?
A.
$875
B.
$2,625
C.
$3,150
D.
$4,025
143.
Rita bakes cakes to earn money. She spent $30 for supplies to make 15
cakes. Which inequality shows how much Rita has to charge per cake to
earn a profit of at least $150?
A.
x ≤ $12
B.
x ≥ $12
C.
x ≤ $8
D.
x ≥ $8
144.
Bill, Tom, and John shared a pie. John ate 0.25 of the pie.
Bill ate of the pie.
Tom ate 35% of the pie.
Which shows the order from the boy who ate the least to the boy who
ate the most?
A.
Bill, John, Tom
B.
Bill, Tom, John
C.
John, Bill, Tom
D.
John, Tom, Bill
Equations and Expressions
Page 43 of 61
145.
A boat rental company has two kinds of boats, rowboats and
motorboats. The expressions below represent the cost, in dollars, for
renting each kind of boat for x number of hours.
Cost of a rowboat rental: Cost of a motorboat rental: Which expression shows how many more dollars it costs to rent a
motorboat than a rowboat for x hours?
A.
B.
C.
D.
146.
What is the value of x in the equation A.
6
B.
7
C.
15
D.
16
?
147.
Madison stayed 3 nights at a hotel that charged x dollars per night.
Sales tax was 12.5%. Which expression represents the total cost
Madison paid to stay 3 nights at the hotel?
A.
3x + 12.5
B.
3x(12.5)
C.
3x + 1.125
D.
3x(1.125)
Equations and Expressions
Page 44 of 61
148.
Joey earns $7.65 an hour at his part­time job. He received a 20% raise.
How much will Joey now earn for working 40 hours?
A.
$244.80
B.
$306.00
C.
$367.20
D.
$612.00
149.
Harold completed three puzzles in 210 minutes. The second puzzle took twice as long as the first puzzle.
The third puzzle took twice as long as the second puzzle.
How many minutes did Harold spend completing the third puzzle?
A.
30 minutes
B.
80 minutes
C.
120 minutes
D.
150 minutes
150.
Angela bought a calculator on sale for 15% off. Sales tax is 7.5%. If the
calculator costs x dollars, which expression represents the total cost of
the calculator?
A.
(x – 0.15)(0.075)
B.
(x – 0.15)(1.075)
C.
(x – 0.15x)(0.075)
D.
(x – 0.15x)(1.075)
Equations and Expressions
Page 45 of 61
151.
The amount Max earned last week can be modeled by the expression where is the number of items he sold. Which number line
shows how many items he could have sold last week?
A.
B.
C.
D.
152.
Which pair of expressions are equivalent?
A.
c 2 + 4d and 2c + 2d + 2d
B.
6s – 2 and 2(3s – 2)
C.
5(t + s) and 5t + s
D.
12a + 15b and 3(4a + 5b)
153.
The price of gasoline was $3.49 a gallon. The price decreased by 10% the first week of June.
Then it decreased 10% the second week of June.
Which expression could be used to find the price of gasoline after both
decreases?
A.
3.49(0.19)
B.
3.49(0.20)
C.
3.49(0.80)
D.
3.49(0.81)
Equations and Expressions
Page 46 of 61
154.
Alice is making a necklace. She has a chain that is 400 mm long. She
puts forty 1.7 mm beads, twenty­seven 6.5 mm beads, and eight 3.4
mm beads on the chain. About how much of the 400 mm chain is left
without beads?
A.
388 mm
B.
270 mm
C.
230 mm
D.
129 mm
155.
Jacob went on a fishing trip. This year he caught 30 fish, which is six
more than twice the number he caught last year. How many fish did
Jacob catch last year?
A.
9
B.
12
C.
18
156.
A store is having a 20% off sale on shoes. Julie has a coupon for an additional 15% off any item.
Julie is buying shoes that originally cost x dollars.
Sales tax is 6%.
Which expression represents the total amount Julie will pay for the
shoes?
A.
0.35x(1.06) B.
0.68x(1.06) C.
x – 0.2 – 0.15 + 1.06 D.
x – 0.8 – 0.85 + 1.06 157.
Which expression is equivalent to –3(4 – 2g) – 6?
A.
– 18 – 2g
B.
–
C.
– 6 – 2g
D.
– 6 + 6g
18 + 6g
Equations and Expressions
Page 47 of 61
158.
Preston’s salary before taxes are taken out is p dollars. After taxes are
taken out, Preston's take home salary is t dollars. If what is
Preston's take home salary in terms of his salary before taxes?
A.
B.
C.
D.
159.
To rent a moving truck, Jennifer must pay a fee of $35.00 per day (d),
then $0.80 for each mile driven (m). Which expression could be used to
find the total cost to rent a moving truck for d days and driving the truck
m miles?
A.
35 + 0.80m
B.
0.80m + 35d
C.
0.80d + 35
D.
35.80dm
Equations and Expressions
Page 48 of 61
160.
Three art students used a total of
Each student used inches of string for an art project.
inches of string plus an additional inches of
string for each day they worked on the art project. Each student worked
on the project the same number of days. Which equation could be used
to find d, the number of days the students worked on the art project?
A.
B.
C.
D.
161.
Which line graph shows the solution for 3x + 2 ≤ 14?
A.
B.
C.
D.
Equations and Expressions
Page 49 of 61
162.
A family goes to a restaurant for dinner. The bill for their meal is $75 before sales tax. Sales tax is 7%.
They leave a 15% tip. Which expression will calculate the total bill for the family’s meal?
A.
75(0.07)(0.15)
B.
75(0.93)(1.15)
C.
75(1.07)(0.85)
D.
75(1.07)(1.15)
163.
Mrs. Williams is going to purchase a plastic cover for her outdoor fish
pond. The area of the fish pond is 25 m2. However, she must purchase a
cover that is 12% more than the pond area in order to cover the entire
edges of the pond. The plastic cover costs $4.75 per square meter.
About how much will Mrs. Williams spend for the plastic cover?
A.
$300.00
B.
$133.00
C.
$118.75
D.
$57.00
164.
A rectangle has a width of x and a length of y. Which expression would
calculate the perimeter of the rectangle?
A.
xy
B.
x + y
C.
2x + 2y
D.
(2x)(2y)
165.
Dylan is buying a book for $8.99. Sales tax is 7%. Which expression
would calculate the total cost of the book?
A.
8.99(0.07)
B.
8.99(0.93)
C.
8.99(1.07)
Equations and Expressions
Page 50 of 61
166.
Which expression is equivalent to A.
6x – 26
B.
6x – 7
C.
8x – 26
D.
8x + 5
?
167.
What is the value of x in the equation below?
A.
B.
C.
D.
168.
Two students will use different methods to calculate the height of a
rectangle that has a length of 10 units and a perimeter of 60 units.
If the students only use whole numbers, which statement is true about
the operations the students will use to solve each method?
A.
Student 1 will add then divide, and Student 2 will divide then
subtract.
B.
Student 1 will divide then add, and Student 2 will subtract then
divide.
C.
Student 1 will subtract then divide, and Student 2 will divide then
subtract.
D.
Student 1 will divide then subtract, and Student 2 will subtract
then divide.
Equations and Expressions
Page 51 of 61
169.
Which expression is equivalent to A.
?
B.
C.
D.
170. Which expression is equivalent to A.
B.
C.
D.
171.
Martha purchases a puzzle on sale for 50% off the regular price, p. She
has a coupon to take an additional 20% off the sale price. Not including
sales tax, which expression could Martha use to determine the sale price
of the puzzle?
A.
0.6p
B.
0.4p
C.
0.5p – 0.2p
D.
0.5p – 0.8p
Equations and Expressions
Page 52 of 61
172.
Three people went to lunch at a buffet restaurant that charges $9.99 per
person for food. Each drink is an additional $1.99.
Sales tax is 8.5%.
Each person orders a drink, food, and leaves a $1.50 tip.
How much was their total lunch bill?
A.
$14.50
B.
$35.94
C.
$39.99
D.
$43.49
173.
Caesar went to a sandwich restaurant with 2 friends. They ordered 2
sandwiches for $6.50 each and one garden salad for $4.25. They also
got 2 drinks for $1.80 each. The tax was $2.90. Caesar paid with in
cash. How much change did he get back?
A.
$6.25
B.
$9.15
C.
$14.55
D.
$17.45
174.
Danny bought a shirt for $17.00 plus 7% sales tax. Which expression
would calculate the total cost of the shirt?
A.
17 + 0.07
B.
17 + 0.7
C.
17 + 17(0.07)
D.
17 + 17(0.7)
175.
Jason earns a monthly salary of m dollars. His salary is increased by
5%. Which expression represents Jason’s new yearly salary?
A.
12.6m
B.
12.05m
C.
1.05m
D.
0.6m
Equations and Expressions
Page 53 of 61
176.
Thomas has $75 in his checking account. To avoid a fee, he must have a
$100 minimum balance in his checking account. Which inequality
represents the amount of money Thomas needs to deposit into his
checking account to avoid the fee?
A.
x < 25
B.
x ≤ 25
C.
x ≥ 25
177.
Edward earned $105.70 last week. He put 15% of his money in the bank and plans to spend the rest of
it.
He spent $12.00 at the movies and bought a video game for $21.36.
How much money does Edward have left to spend?
A.
$49.22
B.
$56.49
C.
$57.34
178.
Which answer shows the factored form of A.
B.
C.
D.
Equations and Expressions
Page 54 of 61
179.
John earns x dollars per month plus an additional y dollars for every sale he makes.
Which of these shows how many sales, s, he would have to make in order to make a
total of 2000 dollars in a month?
A.
B.
C.
D.
180.
Hayley wants to purchase tile for the floor in a rectangular room that
measures 15 feet by 14 feet. The tile costs $4.25 per square foot. Sales
tax is 6.5%. What will be the total cost to cover Hayley’s floor with tile?
A.
$950.51
B.
$892.50
C.
$580.13
D.
$220.75
181.
At noon on Monday, the temperature was 20° Fahrenheit. The formula
for converting temperatures in Fahrenheit (F) to temperatures in Celsius
(C) is . What was the approximate temperature in Celsius
at noon on Monday?
A.
– 21°
B.
– 7°
C.
29°
D.
52°
Equations and Expressions
Page 55 of 61
182.
Mr. Richards has two cars that he changes the oil in every four months. During an oil change, each car needs quarts of oil.
Each 5­quart container of oil costs $14.99. Before tax, how much will the oil cost Mr. Richards for both cars in a
year?
A.
$44.97
B.
$80.94
C.
$89.94
D.
$107.93
183.
Jill paid $35 for a sweater. This was $5 less than twice what she paid
for a pair of shorts. How much did Jill pay for the pair of shorts?
A.
$15
B.
$20
C.
$25
D.
$40
184.
Albert has $16 in savings at the beginning of a month. He then decides
to save $8 every week. Which inequality represents the solution that
describes how many weeks (w) it will take Albert to accumulate at least
$120?
A.
B.
C.
D.
185.
James' age in years is five more than two times Kevin's age. If James is
19 years old, how many years old is Kevin?
A.
7
B.
9
C.
12
D.
14
Equations and Expressions
Page 56 of 61
186.
Mr. Johnson bought 5 square stones and some rectangular stones for a
design in his backyard. Square stones cost $2.25 each.
Rectangular stones cost $3.00 each.
The total cost of the design was $35.25.
How many rectangular stones did Mr. Johnson buy?
A.
6
B.
8
C.
9
D.
11
187.
The Cooper family is driving 236.5 miles to visit their relatives. In the
first three hours, they drive 69.4 miles in the first hour, 67.9 miles in
the second hour, and 69.5 miles in the third hour. How many more miles
do they need to travel?
A.
29.7 miles
B.
30.3 miles
C.
49.7 miles
D.
99.1 miles
188.
Simplify the expression x−3x−(−5x).
A.
−9x
B.
−7x
C.
2x
D.
3x
Equations and Expressions
Page 57 of 61
189.
A group of 4 people went to a movie. Each person bought a large drink
and a small box of popcorn. They paid a total of $33.00 for the drinks
and boxes of popcorn. The cost of each box of popcorn, including tax,
was $3.75. What was the cost, including tax, of each drink?
A.
$4.50
B.
$5.44
C.
$7.25
D.
$7.31
190.
Mr. Brown has $125.25 in his bank account. He spends $96.50 on
groceries, then spends 60% of the remaining amount on dinner. How
much money is left in Mr. Brown’s bank account?
A.
– $46.40
B.
– $31.25
C.
$11.50
D.
$17.25
191.
Michelle wants to make as many granola bars as possible with a recipe
that uses
cups of walnuts. Each recipe makes 36 bars. She has 7
cups of walnuts. If she puts a total of 12 bars in one gift box, how many
gift boxes can Michelle make?
A.
7
B.
14
C.
15
D.
21
192.
Which expression is equivalent to 5(x + 2) − 7(x + 2)?
A.
– 2x − 4
B.
–
C.
12x − 4
D.
12x + 24
2x + 24
Equations and Expressions
Page 58 of 61
193.
Which expression is equivalent to 8p + 2(3p − 4)?
A.
11p − 2
B.
14p − 4
C.
14p − 8
194.
The formula for the perimeter of a rectangle is P = 2L + 2W where L is
the length and W is the width of the rectangle. What is the length of a
rectangle whose perimeter is 48 inches and width is 6 inches?
A.
12 inches
B.
18 inches
C.
24 inches
D.
30 inches
195.
The formula for converting temperatures in Fahrenheit (F) to
temperatures in Celsius (C) is . If the temperature is 32°
Celsius, what is the approximate temperature in Fahrenheit?
A.
0°
B.
32°
C.
64°
D.
90°
Equations and Expressions
Page 59 of 61
196.
Ice cream costs n dollars per scoop at an ice cream shop. The table
below shows the number of scoops purchased by 3 different customers.
Customers Person 1
Person 2
Person 3
Scoops Bought 3
4
1
Which expression represents the total amount, in dollars, of scoops
bought?
A.
3n × 4n × n
B.
3n + 4n + 1
C.
n × 3 + 4 + 1
D.
8n
197.
Amanda’s age is one more than five times her son’s age. If the sum of
their ages is more than 43 years, which inequality represents her
son’s age (S)?
A.
B.
C.
D.
198.
David earned $9.00 an hour at his job. He received a 6% pay increase. If
he works 40 hours, how much money will David earn after his pay
increase?
A.
$362.40
B.
$366.00
C.
$381.60
Equations and Expressions
Page 60 of 61
199.
Mr. Donahue needs pounds of flour to make 5 loaves of bread. He
bought a 50­pound bag of flour that costs $64.99. About how much will
Mr. Donahue spend on flour for a loaf of bread?
A.
$1.17
B.
$5.85
C.
$6.50
D.
$58.49
200.
Micah has a piece of wood that is 96 inches long. He cut off of the piece of wood and gave it to his brother.
He then cut the remaining wood in 4 equal lengths.
How long were each of these 4 equal pieces of wood?
A.
16 inches
B.
24 inches
C.
32 inches
Equations and Expressions
Page 61 of 61