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Math Problems
Grade 7
Solve two-step equations: word problems
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered
12
12
12
vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by
$
6
\$ 6
$6
. The total came to
$
132
\$ 132
$132
.
\newline
Which equation can you use to find the amount,
v
v
v
, Festive Features normally charges for a vest?
\newline
12
v
−
6
=
132
12 v-6=132
12
v
−
6
=
132
\newline
12
(
v
−
6
)
=
132
12(v-6)=132
12
(
v
−
6
)
=
132
\newline
6
(
v
−
12
)
=
132
6(v-12)=132
6
(
v
−
12
)
=
132
\newline
6
v
−
12
=
132
6 v-12=132
6
v
−
12
=
132
\newline
How much does Festive Features normally charge for a vest?
\newline
$
□
\$ \square
$
□
Get tutor help
Donate [
\newline
de
\newline
A clothier who only makes shirts and pants can make a shirt in
4
4
4
hours and a pair of pants in
6
6
6
hours. Which of the following equations shows the number of shirts,
s
s
s
, and the number of pants,
p
p
p
, that the clothier can make in a
40
40
40
hour work week?
\newline
Choose
1
1
1
answer:
\newline
(A)
6
s
+
4
p
=
40
6 s+4 p=40
6
s
+
4
p
=
40
\newline
(B)
4
s
+
6
p
=
40
4 s+6 p=40
4
s
+
6
p
=
40
\newline
(C)
s
4
+
p
6
=
40
\frac{s}{4}+\frac{p}{6}=40
4
s
+
6
p
=
40
\newline
(D)
s
6
+
p
4
=
40
\frac{s}{6}+\frac{p}{4}=40
6
s
+
4
p
=
40
\newline
Show calculator
\newline
6
6
6
of
10
10
10
Get tutor help
Khan Academy
\newline
Donate
□
\square
□
\newline
gor
2901
2901
2901
;
\newline
Percent word problems
\newline
Sophie Ruth is eating a
50
50
50
-gram chocolate bar which contains
30
%
30 \%
30%
cocoa.
\newline
How many grams of cocoa are in the chocolate bar?
\newline
grams
\newline
Stuck? Review related articles/videos or use a hint.
\newline
Reportaproblem
Get tutor help
For a particular delivery, a courier travels by bicycle at a speed of
v
v
v
miles per hour for a distance of
1.3
1.3
1.3
miles. After making the delivery, the courier travels the same distance back, but travels
2
2
2
miles per hour faster than on the way to the delivery. If the courier spent
0.2
0.2
0.2
hours travelling to and from the delivery, which of the following equations could be used to determine the speed of the bicycle on the way to the delivery?
\newline
Choose
1
1
1
answer:
\newline
(A)
0.2
v
2
−
2.2
v
−
2.6
=
0
0.2v^{2}-2.2v-2.6=0
0.2
v
2
−
2.2
v
−
2.6
=
0
\newline
(B)
1.3
v
2
−
2
v
−
0.2
=
0
1.3v^{2}-2v-0.2=0
1.3
v
2
−
2
v
−
0.2
=
0
\newline
(C)
0.2
(
v
2
−
3
)
+
2.6
=
0
0.2(v^{2}-3)+2.6=0
0.2
(
v
2
−
3
)
+
2.6
=
0
\newline
(D)
3
(
0.2
−
v
)
(
2.6
−
v
)
=
0
3(0.2-v)(2.6-v)=0
3
(
0.2
−
v
)
(
2.6
−
v
)
=
0
Get tutor help
Arıa has two pet snakes, Mian and Udon. The combined length of the two snakes is
34
34
34
inches, and Udon is
12
12
12
inches shorter than Mian. Which of the following systems of equations could be used to find
m
m
m
, the length of Mian in inches, and
u
u
u
, the length of Udon in inches?
\newline
Choose
1
1
1
answer:
\newline
(A)
m
+
u
=
12
m+u=12
m
+
u
=
12
\newline
m
−
u
=
34
m-u=34
m
−
u
=
34
\newline
(B)
m
+
u
=
12
m+u=12
m
+
u
=
12
\newline
u
−
m
=
34
u-m=34
u
−
m
=
34
\newline
(C)
m
+
u
=
34
m+u=34
m
+
u
=
34
\newline
m
−
u
=
12
m-u=12
m
−
u
=
12
\newline
(D)
m
+
u
=
34
m+u=34
m
+
u
=
34
\newline
u
−
m
=
12
u-m=12
u
−
m
=
12
Get tutor help
Dominique is allowed to play up to
8
8
8
hours of video games this week. They want to play video games for at least
4
4
4
hours this weekend. Which of the following can be used to represent
t
t
t
, the number of hours they can play video games before the weekend?
\newline
Choose
1
1
1
answer:
\newline
(A)
8
−
t
≥
4
8-t \geq 4
8
−
t
≥
4
\newline
(B)
8
−
t
≤
4
8-t \leq 4
8
−
t
≤
4
\newline
(C)
t
−
8
≥
4
t-8 \geq 4
t
−
8
≥
4
\newline
(D)
t
−
8
≤
4
t-8 \leq 4
t
−
8
≤
4
Get tutor help
The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for
9
9
9
days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of
25
25
25
$
\$
$
applied to their rental cost. The Logans will pay
920
920
920
$
\$
$
in all.
\newline
Which equation can you use to find
d
d
d
, how much the agency charges per day?
\newline
Choices:
\newline
(A)
25
d
−
9
=
920
25d - 9 = 920
25
d
−
9
=
920
\newline
(B)
9
d
−
25
=
920
9d - 25 = 920
9
d
−
25
=
920
\newline
(C)
25
(
d
−
9
)
=
920
25(d - 9) = 920
25
(
d
−
9
)
=
920
\newline
(D)
9
(
d
−
25
)
=
920
9(d - 25) = 920
9
(
d
−
25
)
=
920
\newline
How much does the agency charge per day?
\newline
____
$
\$
$
Get tutor help
The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for
9
9
9
days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of
25
25
25
$
\$
$
applied to their rental cost. The Logans will pay
920
920
920
$
\$
$
in all.
\newline
Which equation can you use to find
d
d
d
, how much the agency charges per day?
\newline
Choices:
\newline
(A)
9
(
d
−
25
)
=
920
9(d - 25) = 920
9
(
d
−
25
)
=
920
\newline
(B)
9
d
−
25
=
920
9d - 25 = 920
9
d
−
25
=
920
\newline
(C)
25
(
d
−
9
)
=
920
25(d - 9) = 920
25
(
d
−
9
)
=
920
\newline
(D)
25
d
−
9
=
920
25d - 9 = 920
25
d
−
9
=
920
\newline
How much does the agency charge per day?
\newline
____
$
\$
$
Get tutor help
The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for
9
9
9
days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of
25
25
25
$
\$
$
applied to their rental cost. The Logans will pay
920
920
920
$
\$
$
in all.
\newline
Which equation can you use to find
d
d
d
, how much the agency charges per day?
\newline
Choices:
\newline
(
A
)
25
(
d
−
9
)
=
920
(A) 25(d - 9) = 920
(
A
)
25
(
d
−
9
)
=
920
\newline
(
B
)
25
d
−
9
=
920
(B) 25d - 9 = 920
(
B
)
25
d
−
9
=
920
\newline
(
C
)
9
d
−
25
=
920
(C) 9d - 25 = 920
(
C
)
9
d
−
25
=
920
\newline
(
D
)
9
(
d
−
25
)
=
920
(D) 9(d - 25) = 920
(
D
)
9
(
d
−
25
)
=
920
\newline
How much does the agency charge per day?
\newline
____
$
\$
$
Get tutor help
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for
35
35
35
$
\$
$
, then took
5
5
5
hours of group snowboarding lessons. Victor paid
175
175
175
$
\$
$
in all.
\newline
Which equation can you use to find how much Snowy Ridge charges,
x
x
x
, for each hour of group snowboarding lessons?
\newline
Choices:
\newline
(A)
35
(
x
+
5
)
=
175
35(x + 5) = 175
35
(
x
+
5
)
=
175
\newline
(B)
5
x
+
35
=
175
5x + 35 = 175
5
x
+
35
=
175
\newline
(C)
5
(
x
+
35
)
=
175
5(x + 35) = 175
5
(
x
+
35
)
=
175
\newline
(D)
35
x
+
5
=
175
35x + 5 = 175
35
x
+
5
=
175
\newline
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
\newline
____
$
\$
$
Get tutor help
The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for
9
9
9
days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of
25
25
25
$
\$
$
applied to their rental cost. The Logans will pay
920
920
920
$
\$
$
in all.
\newline
Which equation can you use to find
d
d
d
, how much the agency charges per day?
\newline
Choices:
\newline
(
A
)
9
(
d
−
25
)
=
920
(A) 9(d - 25) = 920
(
A
)
9
(
d
−
25
)
=
920
\newline
(
B
)
25
(
d
−
9
)
=
920
(B) 25(d - 9) = 920
(
B
)
25
(
d
−
9
)
=
920
\newline
(
C
)
9
d
−
25
=
920
(C) 9d - 25 = 920
(
C
)
9
d
−
25
=
920
\newline
(
D
)
25
d
−
9
=
920
(D) 25d - 9 = 920
(
D
)
25
d
−
9
=
920
\newline
How much does the agency charge per day?
\newline
____
$
\$
$
Get tutor help
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for
35
35
35
$
\$
$
, then took
5
5
5
hours of group snowboarding lessons. Victor paid
175
175
175
$
\$
$
in all.
\newline
Which equation can you use to find how much Snowy Ridge charges,
x
x
x
, for each hour of group snowboarding lessons?
\newline
Choices:
\newline
(A)
35
x
+
5
=
175
35x + 5 = 175
35
x
+
5
=
175
\newline
(B)
5
(
x
+
35
)
=
175
5(x + 35) = 175
5
(
x
+
35
)
=
175
\newline
(C)
35
(
x
+
5
)
=
175
35(x + 5) = 175
35
(
x
+
5
)
=
175
\newline
(D)
5
x
+
35
=
175
5x + 35 = 175
5
x
+
35
=
175
\newline
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
\newline
____
$
\$
$
Get tutor help
Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs
265
265
265
$
\$
$
and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her
8
8
8
guests, bringing the total to
305
305
305
$
\$
$
.
\newline
Which equation can you use to find
f
f
f
, the cost of each favor?
\newline
Choices:
\newline
(A)
265
(
f
+
8
)
=
305
265(f + 8) = 305
265
(
f
+
8
)
=
305
\newline
(B)
8
f
+
265
=
305
8f + 265 = 305
8
f
+
265
=
305
\newline
(C)
265
f
+
8
=
305
265f + 8 = 305
265
f
+
8
=
305
\newline
(D)
8
(
f
+
265
)
=
305
8(f + 265) = 305
8
(
f
+
265
)
=
305
\newline
How much did each favor cost?
\newline
____
$
\$
$
Get tutor help
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for
35
35
35
$
\$
$
, then took
5
5
5
hours of group snowboarding lessons. Victor paid
175
175
175
$
\$
$
in all.
\newline
Which equation can you use to find how much Snowy Ridge charges,
x
x
x
, for each hour of group snowboarding lessons?
\newline
Choices:
\newline
(A)
5
(
x
+
35
)
=
175
5(x + 35) = 175
5
(
x
+
35
)
=
175
\newline
(B)
5
x
+
35
=
175
5x + 35 = 175
5
x
+
35
=
175
\newline
(C)
35
(
x
+
5
)
=
175
35(x + 5) = 175
35
(
x
+
5
)
=
175
\newline
(D)
35
x
+
5
=
175
35x + 5 = 175
35
x
+
5
=
175
\newline
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
\newline
____
$
\$
$
Get tutor help
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for
35
35
35
$
\$
$
, then took
5
5
5
hours of group snowboarding lessons. Victor paid
175
175
175
$
\$
$
in all.
\newline
Which equation can you use to find how much Snowy Ridge charges,
x
x
x
, for each hour of group snowboarding lessons?
\newline
Choices:
\newline
(A)
35
(
x
+
5
)
=
175
35(x + 5) = 175
35
(
x
+
5
)
=
175
\newline
(B)
5
(
x
+
35
)
=
175
5(x + 35) = 175
5
(
x
+
35
)
=
175
\newline
(C)
35
x
+
5
=
175
35x + 5 = 175
35
x
+
5
=
175
\newline
(D)
5
x
+
35
=
175
5x + 35 = 175
5
x
+
35
=
175
\newline
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
\newline
____
$
\$
$
Get tutor help
Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs
265
265
265
$
\$
$
and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her
8
8
8
guests, bringing the total to
305
305
305
$
\$
$
.
\newline
Which equation can you use to find
f
f
f
, the cost of each favor?
\newline
Choices:
\newline
(A)
265
(
f
+
8
)
=
305
265(f + 8) = 305
265
(
f
+
8
)
=
305
\newline
(B)
265
f
+
8
=
305
265f + 8 = 305
265
f
+
8
=
305
\newline
(C)
8
(
f
+
265
)
=
305
8(f + 265) = 305
8
(
f
+
265
)
=
305
\newline
(D)
8
f
+
265
=
305
8f + 265 = 305
8
f
+
265
=
305
\newline
How much did each favor cost?
\newline
____
$
\$
$
Get tutor help
Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs
265
265
265
$
\$
$
and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her
8
8
8
guests, bringing the total to
305
305
305
$
\$
$
.
\newline
Which equation can you use to find
f
f
f
, the cost of each favor?
\newline
Choices:
\newline
(A)
265
f
+
8
=
305
265f + 8 = 305
265
f
+
8
=
305
\newline
(B)
265
(
f
+
8
)
=
305
265(f + 8) = 305
265
(
f
+
8
)
=
305
\newline
(C)
8
f
+
265
=
305
8f + 265 = 305
8
f
+
265
=
305
\newline
(D)
8
(
f
+
265
)
=
305
8(f + 265) = 305
8
(
f
+
265
)
=
305
\newline
How much did each favor cost?
\newline
____
$
\$
$
Get tutor help
The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for
9
9
9
days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of
25
25
25
$
\$
$
applied to their rental cost. The Logans will pay
920
920
920
$
\$
$
in all.
\newline
Which equation can you use to find
d
d
d
, how much the agency charges per day?
\newline
Choices:
\newline
(
A
)
9
d
−
25
=
920
(A) 9d - 25 = 920
(
A
)
9
d
−
25
=
920
\newline
(
B
)
9
(
d
−
25
)
=
920
(B) 9(d - 25) = 920
(
B
)
9
(
d
−
25
)
=
920
\newline
(
C
)
25
d
−
9
=
920
(C) 25d - 9 = 920
(
C
)
25
d
−
9
=
920
\newline
(
D
)
25
(
d
−
9
)
=
920
(D) 25(d - 9) = 920
(
D
)
25
(
d
−
9
)
=
920
\newline
How much does the agency charge per day?
\newline
____
$
\$
$
Get tutor help
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for
35
35
35
$
\$
$
, then took
5
5
5
hours of group snowboarding lessons. Victor paid
175
175
175
$
\$
$
in all.
\newline
Which equation can you use to find how much Snowy Ridge charges,
x
x
x
, for each hour of group snowboarding lessons?
\newline
Choices:
\newline
(A)
35
(
x
+
5
)
=
175
35(x + 5) = 175
35
(
x
+
5
)
=
175
\newline
(B)
35
x
+
5
=
175
35x + 5 = 175
35
x
+
5
=
175
\newline
(C)
5
(
x
+
35
)
=
175
5(x + 35) = 175
5
(
x
+
35
)
=
175
\newline
(D)
5
x
+
35
=
175
5x + 35 = 175
5
x
+
35
=
175
\newline
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
\newline
____
$
\$
$
Get tutor help
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered
12
12
12
vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by
6
6
6
$
\$
$
. The total came to
132
132
132
$
\$
$
.
\newline
Which equation can you use to find the amount,
v
v
v
, Festive Features normally charges for a vest?
\newline
Choices:
\newline
(A)
6
(
v
−
12
)
=
132
6(v - 12) = 132
6
(
v
−
12
)
=
132
\newline
(B)
12
(
v
−
6
)
=
132
12(v - 6) = 132
12
(
v
−
6
)
=
132
\newline
(C)
12
v
−
6
=
132
12v - 6 = 132
12
v
−
6
=
132
\newline
(D)
6
v
−
12
=
132
6v - 12 = 132
6
v
−
12
=
132
\newline
How much does Festive Features normally charge for a vest?
\newline
____
$
\$
$
Get tutor help
Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of
55
55
55
$
\$
$
is applied to the total. During the sale, Rhianna buys a set of
6
6
6
chairs that match the table she inherited from her grandmother. Rhianna pays
455
455
455
$
\$
$
in all.
\newline
Which equation can you use to find the regular cost,
c
c
c
, of each chair?
\newline
Choices:
\newline
(A)
6
c
−
55
=
455
6c - 55 = 455
6
c
−
55
=
455
\newline
(B)
55
c
−
6
=
455
55c - 6 = 455
55
c
−
6
=
455
\newline
(C)
6
(
c
−
55
)
=
455
6(c - 55) = 455
6
(
c
−
55
)
=
455
\newline
(D)
55
(
c
−
6
)
=
455
55(c - 6) = 455
55
(
c
−
6
)
=
455
\newline
What is the regular cost of each chair?
\newline
____
$
\$
$
Get tutor help
At the start of her shift at Midtown Bakery, Megan made some batches of cookies that called for
3
3
3
cups of flour each. Then, she used the remaining
8
8
8
cups of flour she had to make a pan of muffins. She started her shift with a
20
20
20
-cup bag of flour.
\newline
Which equation can you use to find how many batches of cookies,
x
x
x
, Megan made?
\newline
Choices:
\newline
(A)
3
(
x
+
8
)
=
20
3(x + 8) = 20
3
(
x
+
8
)
=
20
\newline
(B)
8
x
+
3
=
20
8x + 3 = 20
8
x
+
3
=
20
\newline
(C)
8
(
x
+
3
)
=
20
8(x + 3) = 20
8
(
x
+
3
)
=
20
\newline
(D)
3
x
+
8
=
20
3x + 8 = 20
3
x
+
8
=
20
\newline
How many batches of cookies did Megan make?
\newline
Write your answer as a whole number or a simplified fraction.
\newline
____ batches of cookies
Get tutor help
Terrence signed up for the Safe Venture driving school. He will spend
10
10
10
hours driving with an instructor and will also attend weekly
2
2
2
-hour classes. When Terrence completes the
26
26
26
total hours of instruction, he will take his driver's test.
\newline
Which equation can you use to find
w
w
w
, the number of weeks the driving classes last?
\newline
Choices:
\newline
(A)
10
w
+
2
=
26
10w + 2 = 26
10
w
+
2
=
26
\newline
(B)
2
(
w
+
10
)
=
26
2(w + 10) = 26
2
(
w
+
10
)
=
26
\newline
(C)
2
w
+
10
=
26
2w + 10 = 26
2
w
+
10
=
26
\newline
(D)
10
(
w
+
2
)
=
26
10(w + 2) = 26
10
(
w
+
2
)
=
26
\newline
How many weeks do the driving classes last?
\newline
____ weeks
Get tutor help
Amy used her first
2
2
2
tokens at Glimmer Arcade to play a game of Roll-and-Score. Then she played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon Bouncer costs
3
3
3
tokens per game, and Amy started with a bucket of
35
35
35
game tokens.
\newline
Which equation can Amy use to find how many games of Balloon Bouncer,
g
g
g
, she played?
\newline
Choices:
\newline
(A)
2
g
+
3
=
35
2g + 3 = 35
2
g
+
3
=
35
\newline
(B)
3
g
+
2
=
35
3g + 2 = 35
3
g
+
2
=
35
\newline
(C)
2
(
g
+
3
)
=
35
2(g + 3) = 35
2
(
g
+
3
)
=
35
\newline
(D)
3
(
g
+
2
)
=
35
3(g + 2) = 35
3
(
g
+
2
)
=
35
\newline
How many games of Balloon Bouncer did Amy play?
\newline
____ games
Get tutor help
Lester is on the well-known reality show, Kid Castaway, in which a group of kids spends a week learning to survive on a tropical island. On Monday, the kids gather a bunch of coconuts to eat. They divide the coconuts evenly among all
18
18
18
kids in the group. Each kid gets
4
4
4
coconuts.
\newline
Which equation can you use to find the number of coconuts
c
c
c
the kids gather?
\newline
Choices:
\newline
(A)
18
c
=
4
18c = 4
18
c
=
4
\newline
(B)
c
18
=
4
\frac{c}{18} = 4
18
c
=
4
\newline
(C)
c
+
18
=
4
c + 18 = 4
c
+
18
=
4
\newline
(D)
c
−
18
=
4
c - 18 = 4
c
−
18
=
4
\newline
Solve this equation for
c
c
c
to find the number of coconuts the kids gather.
\newline
____ coconuts
\newline
Get tutor help
Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices
4
4
4
days per week. Each of those days, they practice for
3
3
3
hours in the morning and practice again in the afternoon. They practice for a total of
20
20
20
hours each week.
\newline
Which equation can you use to find
h
h
h
, the length of each afternoon practice in hours?
\newline
Choices:
\newline
(A)
3
h
+
4
=
20
3h + 4 = 20
3
h
+
4
=
20
\newline
(B)
4
h
+
3
=
20
4h + 3 = 20
4
h
+
3
=
20
\newline
(C)
4
(
h
+
3
)
=
20
4(h + 3) = 20
4
(
h
+
3
)
=
20
\newline
(D)
3
(
h
+
4
)
=
20
3(h + 4) = 20
3
(
h
+
4
)
=
20
\newline
How long is each afternoon practice?
\newline
Write your answer as a whole number or a simplified fraction.
\newline
____ hours
\newline
Get tutor help
Russell has been training for the Emerald Valley Race. The first week he trained, he ran
5
5
5
days and took the same two routes each day. He ran
2
2
2
miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of
30
30
30
miles.
\newline
Which equation can Russell use to find how many miles,
x
x
x
, he ran each day after school?
\newline
Choices:
\newline
(A)
5
x
+
2
=
30
5x + 2 = 30
5
x
+
2
=
30
\newline
(B)
2
x
+
5
=
30
2x + 5 = 30
2
x
+
5
=
30
\newline
(C)
5
(
x
+
2
)
=
30
5(x + 2) = 30
5
(
x
+
2
)
=
30
\newline
(D)
2
(
x
+
5
)
=
30
2(x + 5) = 30
2
(
x
+
5
)
=
30
\newline
How many miles did Russell run each day after school?
\newline
Write your answer as a whole number or a simplified fraction.
\newline
____ miles
\newline
Get tutor help
Amy used her first
2
2
2
tokens at Glimmer Arcade to play a game of Roll-and-Score. Then she played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon Bouncer costs
3
3
3
tokens per game, and Amy started with a bucket of
35
35
35
game tokens.
\newline
Which equation can Amy use to find how many games of Balloon Bouncer,
g
g
g
, she played?
\newline
Choices:
\newline
(A)
3
g
+
2
=
35
3g + 2 = 35
3
g
+
2
=
35
\newline
(B)
2
(
g
+
3
)
=
35
2(g + 3) = 35
2
(
g
+
3
)
=
35
\newline
(C)
2
g
+
3
=
35
2g + 3 = 35
2
g
+
3
=
35
\newline
(D)
3
(
g
+
2
)
=
35
3(g + 2) = 35
3
(
g
+
2
)
=
35
\newline
How many games of Balloon Bouncer did Amy play?
\newline
____ games
Get tutor help
Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all
9
9
9
people in the group would be
$
81
\$81
$81
. This includes an entrance ticket and a
$
3
\$3
$3
skate rental fee for each person.
\newline
Which equation can you use to find
t
t
t
, the cost of each entrance ticket?
\newline
Choices:
\newline
(A)
3
(
t
+
9
)
=
81
3(t + 9) = 81
3
(
t
+
9
)
=
81
\newline
(B)
9
(
t
+
3
)
=
81
9(t + 3) = 81
9
(
t
+
3
)
=
81
\newline
(C)
9
t
+
3
=
81
9t + 3 = 81
9
t
+
3
=
81
\newline
(D)
3
t
+
9
=
81
3t + 9 = 81
3
t
+
9
=
81
\newline
How much does each entrance ticket cost?
\newline
____
$
\$
$
Get tutor help
Bert made
3
3
3
batches of his uncle's signature spicy wing sauce for a barbecue last weekend. He didn't want the sauce to be too spicy, so he tweaked the recipe, reducing the amount of hot sauce he put in each batch by
2
2
2
ounces. Bert used
24
24
24
ounces of hot sauce in all to make the wing sauce.
\newline
Which equation can you use to find
u
u
u
, the amount of hot sauce Bert's uncle usually puts in each batch of spicy wing sauce?
\newline
Choices:
\newline
(A)
3
(
u
−
2
)
=
24
3(u - 2) = 24
3
(
u
−
2
)
=
24
\newline
(B)
3
u
−
2
=
24
3u - 2 = 24
3
u
−
2
=
24
\newline
(C)
2
(
u
−
3
)
=
24
2(u - 3) = 24
2
(
u
−
3
)
=
24
\newline
(D)
2
u
−
3
=
24
2u - 3 = 24
2
u
−
3
=
24
\newline
How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?
\newline
Write your answer as a whole number or a simplified fraction.
\newline
____ ounces
Get tutor help
Bert made
3
3
3
batches of his uncle's signature spicy wing sauce for a barbecue last weekend. He didn't want the sauce to be too spicy, so he tweaked the recipe, reducing the amount of hot sauce he put in each batch by
2
2
2
ounces. Bert used
24
24
24
ounces of hot sauce in all to make the wing sauce.
\newline
Which equation can you use to find
u
u
u
, the amount of hot sauce Bert's uncle usually puts in each batch of spicy wing sauce?
\newline
Choices:
\newline
(A)
2
u
−
3
=
24
2u - 3 = 24
2
u
−
3
=
24
\newline
(B)
3
(
u
−
2
)
=
24
3(u - 2) = 24
3
(
u
−
2
)
=
24
\newline
(C)
3
u
−
2
=
24
3u - 2 = 24
3
u
−
2
=
24
\newline
(D)
2
(
u
−
3
)
=
24
2(u - 3) = 24
2
(
u
−
3
)
=
24
\newline
How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?
\newline
Write your answer as a whole number or a simplified fraction.
\newline
____ ounces
Get tutor help
Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices
4
4
4
days per week. Each of those days, they practice for
3
3
3
hours in the morning and practice again in the afternoon. They practice for a total of
20
20
20
hours each week.
\newline
Which equation can you use to find
h
h
h
, the length of each afternoon practice in hours?
\newline
Choices:
\newline
(A)
4
(
h
+
3
)
=
20
4(h + 3) = 20
4
(
h
+
3
)
=
20
\newline
(B)
3
(
h
+
4
)
=
20
3(h + 4) = 20
3
(
h
+
4
)
=
20
\newline
(C)
4
h
+
3
=
20
4h + 3 = 20
4
h
+
3
=
20
\newline
(D)
3
h
+
4
=
20
3h + 4 = 20
3
h
+
4
=
20
\newline
How long is each afternoon practice?
\newline
Write your answer as a whole number or a simplified fraction.
\newline
____ hours
\newline
Get tutor help
The Oakland School's harvest festival is coming up, and Ms. Garza is in charge of ordering the caramel apples again. She knows she ordered
9
9
9
cases of caramel apples last year but can't remember how many apples come in a case. She checks last year's records and finds that the school sold
685
685
685
caramel apples and had
35
35
35
left over.
\newline
Which equation can Ms. Garza use to find how many caramel apples,
c
c
c
, come in each case?
\newline
Choices:
\newline
(A)
9
(
c
−
685
)
=
35
9(c - 685) = 35
9
(
c
−
685
)
=
35
\newline
(B)
685
c
−
9
=
35
685c - 9 = 35
685
c
−
9
=
35
\newline
(C)
9
c
−
685
=
35
9c - 685 = 35
9
c
−
685
=
35
\newline
(D)
685
(
c
−
9
)
=
35
685(c - 9) = 35
685
(
c
−
9
)
=
35
\newline
How many caramel apples come in each case?
\newline
____ caramel apples
Get tutor help
Painted Pots lets customers choose and paint their own pottery. The store has teapots in multiple sizes. Rebecca chose to paint the largest teapot offered, which cost
18
$
18\$
18$
. She also painted
4
4
4
small teacups to go with her teapot. Rebecca spent a total of
42
$
42\$
42$
on pottery.
\newline
Which equation can you use to find
c
c
c
, the cost of each teacup?
\newline
Choices:
\newline
(A)
4
c
+
18
=
42
4c + 18 = 42
4
c
+
18
=
42
\newline
(B)
18
c
+
4
=
42
18c + 4 = 42
18
c
+
4
=
42
\newline
(C)
4
(
c
+
18
)
=
42
4(c + 18) = 42
4
(
c
+
18
)
=
42
\newline
(D)
18
(
c
+
4
)
=
42
18(c + 4) = 42
18
(
c
+
4
)
=
42
\newline
What was the cost of each teacup?
\newline
_
_
_
$
\_\_\_\$
___$
Get tutor help
Terrence signed up for the Safe Venture driving school. He will spend
10
10
10
hours driving with an instructor and will also attend weekly
2
2
2
-hour classes. When Terrence completes the
26
26
26
total hours of instruction, he will take his driver's test.
\newline
Which equation can you use to find
w
w
w
, the number of weeks the driving classes last?
\newline
Choices:
\newline
(A)
10
(
w
+
2
)
=
26
10(w + 2) = 26
10
(
w
+
2
)
=
26
\newline
(B)
2
(
w
+
10
)
=
26
2(w + 10) = 26
2
(
w
+
10
)
=
26
\newline
(C)
10
w
+
2
=
26
10w + 2 = 26
10
w
+
2
=
26
\newline
(D)
2
w
+
10
=
26
2w + 10 = 26
2
w
+
10
=
26
\newline
How many weeks do the driving classes last?
\newline
____ weeks
\newline
Get tutor help
At the start of her shift at Midtown Bakery, Megan made some batches of cookies that called for
3
3
3
cups of flour each. Then, she used the remaining
8
8
8
cups of flour she had to make a pan of muffins. She started her shift with a
20
20
20
-cup bag of flour.
\newline
Which equation can you use to find how many batches of cookies,
x
x
x
, Megan made?
\newline
Choices:
\newline
(A)
8
x
+
3
=
20
8x + 3 = 20
8
x
+
3
=
20
\newline
(B)
8
(
x
+
3
)
=
20
8(x + 3) = 20
8
(
x
+
3
)
=
20
\newline
(C)
3
x
+
8
=
20
3x + 8 = 20
3
x
+
8
=
20
\newline
(D)
3
(
x
+
8
)
=
20
3(x + 8) = 20
3
(
x
+
8
)
=
20
\newline
How many batches of cookies did Megan make?
\newline
Write your answer as a whole number or a simplified fraction.
\newline
____ batches of cookies
Get tutor help
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered
12
12
12
vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by
6
6
6
$
\$
$
. The total came to
132
132
132
$
\$
$
. Which equation can you use to find the amount,
v
v
v
, Festive Features normally charges for a vest?
\newline
Choices:
\newline
(A)
6
v
−
12
=
132
6v - 12 = 132
6
v
−
12
=
132
\newline
(B)
12
(
v
−
6
)
=
132
12(v - 6) = 132
12
(
v
−
6
)
=
132
\newline
(C)
12
v
−
6
=
132
12v - 6 = 132
12
v
−
6
=
132
\newline
(D)
6
(
v
−
12
)
=
132
6(v - 12) = 132
6
(
v
−
12
)
=
132
\newline
How much does Festive Features normally charge for a vest?
\newline
____
$
\$
$
Get tutor help
Amy used her first
2
2
2
tokens at Glimmer Arcade to play a game of Roll-and-Score. Then she played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon Bouncer costs
3
3
3
tokens per game, and Amy started with a bucket of
35
35
35
game tokens.
\newline
Which equation can Amy use to find how many games of Balloon Bouncer,
g
g
g
, she played?
\newline
Choices:
\newline
(A)
2
(
g
+
3
)
=
35
2(g + 3) = 35
2
(
g
+
3
)
=
35
\newline
(B)
3
(
g
+
2
)
=
35
3(g + 2) = 35
3
(
g
+
2
)
=
35
\newline
(C)
3
g
+
2
=
35
3g + 2 = 35
3
g
+
2
=
35
\newline
(D)
2
g
+
3
=
35
2g + 3 = 35
2
g
+
3
=
35
\newline
How many games of Balloon Bouncer did Amy play?
\newline
____ games
Get tutor help
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered
12
12
12
vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by
6
6
6
$
\$
$
. The total came to
132
132
132
$
\$
$
. Which equation can you use to find the amount,
v
v
v
, Festive Features normally charges for a vest?
\newline
Choices:
\newline
(A)
12
v
−
6
=
132
12v - 6 = 132
12
v
−
6
=
132
\newline
(B)
6
(
v
−
12
)
=
132
6(v - 12) = 132
6
(
v
−
12
)
=
132
\newline
(C)
12
(
v
−
6
)
=
132
12(v - 6) = 132
12
(
v
−
6
)
=
132
\newline
(D)
6
v
−
12
=
132
6v - 12 = 132
6
v
−
12
=
132
\newline
How much does Festive Features normally charge for a vest?
\newline
____
$
\$
$
Get tutor help
Painted Pots lets customers choose and paint their own pottery. The store has teapots in multiple sizes. Rebecca chose to paint the largest teapot offered, which cost
18
$
18\$
18$
. She also painted
4
4
4
small teacups to go with her teapot. Rebecca spent a total of
42
$
42\$
42$
on pottery.
\newline
Which equation can you use to find
c
c
c
, the cost of each teacup?
\newline
Choices:
\newline
(A)
18
(
c
+
4
)
=
42
18(c + 4) = 42
18
(
c
+
4
)
=
42
\newline
(B)
4
(
c
+
18
)
=
42
4(c + 18) = 42
4
(
c
+
18
)
=
42
\newline
(C)
18
c
+
4
=
42
18c + 4 = 42
18
c
+
4
=
42
\newline
(D)
4
c
+
18
=
42
4c + 18 = 42
4
c
+
18
=
42
\newline
What was the cost of each teacup?
\newline
_
_
_
$
\_\_\_\$
___$
Get tutor help
Amy used her first
2
2
2
tokens at Glimmer Arcade to play a game of Roll-and-Score. Then she played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon Bouncer costs
3
3
3
tokens per game, and Amy started with a bucket of
35
35
35
game tokens.
\newline
Which equation can Amy use to find how many games of Balloon Bouncer,
g
g
g
, she played?
\newline
Choices:
\newline
(A)
3
g
+
2
=
35
3g + 2 = 35
3
g
+
2
=
35
\newline
(B)
2
(
g
+
3
)
=
35
2(g + 3) = 35
2
(
g
+
3
)
=
35
\newline
(C)
3
(
g
+
2
)
=
35
3(g + 2) = 35
3
(
g
+
2
)
=
35
\newline
(D)
2
g
+
3
=
35
2g + 3 = 35
2
g
+
3
=
35
\newline
How many games of Balloon Bouncer did Amy play?
\newline
_
_
_
\_\_\_
___
games
Get tutor help
Russell has been training for the Emerald Valley Race. The first week he trained, he ran
5
5
5
days and took the same two routes each day. He ran
2
2
2
miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of
30
30
30
miles.
\newline
Which equation can Russell use to find how many miles,
x
x
x
, he ran each day after school?
\newline
Choices:
\newline
(A)
5
(
x
+
2
)
=
30
5(x + 2) = 30
5
(
x
+
2
)
=
30
\newline
(B)
5
x
+
2
=
30
5x + 2 = 30
5
x
+
2
=
30
\newline
(C)
2
(
x
+
5
)
=
30
2(x + 5) = 30
2
(
x
+
5
)
=
30
\newline
(D)
2
x
+
5
=
30
2x + 5 = 30
2
x
+
5
=
30
\newline
How many miles did Russell run each day after school?
\newline
Write your answer as a whole number or a simplified fraction.
\newline
____ miles
\newline
Get tutor help
The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for
9
9
9
days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of
25
25
25
$
\$
$
applied to their rental cost. The Logans will pay
920
920
920
$
\$
$
in all.
\newline
Which equation can you use to find
d
d
d
, how much the agency charges per day?
\newline
Choices:
\newline
(
A
)
9
(
d
−
25
)
=
920
(A) 9(d - 25) = 920
(
A
)
9
(
d
−
25
)
=
920
\newline
(
B
)
25
d
−
9
=
920
(B) 25d - 9 = 920
(
B
)
25
d
−
9
=
920
\newline
(
C
)
25
(
d
−
9
)
=
920
(C) 25(d - 9) = 920
(
C
)
25
(
d
−
9
)
=
920
\newline
(
D
)
9
d
−
25
=
920
(D) 9d - 25 = 920
(
D
)
9
d
−
25
=
920
\newline
How much does the agency charge per day?
\newline
____
$
\$
$
Get tutor help
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for
35
35
35
$
\$
$
, then took
5
5
5
hours of group snowboarding lessons. Victor paid
175
175
175
$
\$
$
in all.
\newline
Which equation can you use to find how much Snowy Ridge charges,
x
x
x
, for each hour of group snowboarding lessons?
\newline
Choices:
\newline
(A)
5
x
+
35
=
175
5x + 35 = 175
5
x
+
35
=
175
\newline
(B)
35
(
x
+
5
)
=
175
35(x + 5) = 175
35
(
x
+
5
)
=
175
\newline
(C)
35
x
+
5
=
175
35x + 5 = 175
35
x
+
5
=
175
\newline
(D)
5
(
x
+
35
)
=
175
5(x + 35) = 175
5
(
x
+
35
)
=
175
\newline
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
\newline
____
$
\$
$
Get tutor help
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for
35
35
35
$
\$
$
, then took
5
5
5
hours of group snowboarding lessons. Victor paid
175
175
175
$
\$
$
in all.
\newline
Which equation can you use to find how much Snowy Ridge charges,
x
x
x
, for each hour of group snowboarding lessons?
\newline
Choices:
\newline
(A)
5
x
+
35
=
175
5x + 35 = 175
5
x
+
35
=
175
\newline
(B)
5
(
x
+
35
)
=
175
5(x + 35) = 175
5
(
x
+
35
)
=
175
\newline
(C)
35
(
x
+
5
)
=
175
35(x + 5) = 175
35
(
x
+
5
)
=
175
\newline
(D)
35
x
+
5
=
175
35x + 5 = 175
35
x
+
5
=
175
\newline
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
\newline
____
$
\$
$
Get tutor help
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered
12
12
12
vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by
6
6
6
$
\$
$
. The total came to
132
132
132
$
\$
$
.
\newline
Which equation can you use to find the amount,
v
v
v
, Festive Features normally charges for a vest?
\newline
Choices:
\newline
(A)
6
(
v
−
12
)
=
132
6(v - 12) = 132
6
(
v
−
12
)
=
132
\newline
(B)
6
v
−
12
=
132
6v - 12 = 132
6
v
−
12
=
132
\newline
(C)
12
v
−
6
=
132
12v - 6 = 132
12
v
−
6
=
132
\newline
(D)
12
(
v
−
6
)
=
132
12(v - 6) = 132
12
(
v
−
6
)
=
132
\newline
How much does Festive Features normally charge for a vest?
\newline
____
$
\$
$
Get tutor help
Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs
265
265
265
$
\$
$
and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her
8
8
8
guests, bringing the total to
305
305
305
$
\$
$
.
\newline
Which equation can you use to find
f
f
f
, the cost of each favor?
\newline
Choices:
\newline
(A)
265
f
+
8
=
305
265f + 8 = 305
265
f
+
8
=
305
\newline
(B)
265
(
f
+
8
)
=
305
265(f + 8) = 305
265
(
f
+
8
)
=
305
\newline
(C)
8
(
f
+
265
)
=
305
8(f + 265) = 305
8
(
f
+
265
)
=
305
\newline
(D)
8
f
+
265
=
305
8f + 265 = 305
8
f
+
265
=
305
\newline
How much did each favor cost?
\newline
_
_
_
_
$
\_\_\_\_\ \$
____
$
Get tutor help
Russell has been training for the Emerald Valley Race. The first week he trained, he ran
5
5
5
days and took the same two routes each day. He ran
2
2
2
miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of
30
30
30
miles.
\newline
Which equation can Russell use to find how many miles,
x
x
x
, he ran each day after school?
\newline
Choices:
\newline
(A)
2
x
+
5
=
30
2x + 5 = 30
2
x
+
5
=
30
\newline
(B)
2
(
x
+
5
)
=
30
2(x + 5) = 30
2
(
x
+
5
)
=
30
\newline
(C)
5
x
+
2
=
30
5x + 2 = 30
5
x
+
2
=
30
\newline
(D)
5
(
x
+
2
)
=
30
5(x + 2) = 30
5
(
x
+
2
)
=
30
\newline
How many miles did Russell run each day after school?
\newline
Write your answer as a whole number or a simplified fraction.
\newline
____ miles
\newline
Get tutor help
Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices
4
4
4
days per week. Each of those days, they practice for
3
3
3
hours in the morning and practice again in the afternoon. They practice for a total of
20
20
20
hours each week.
\newline
Which equation can you use to find
h
h
h
, the length of each afternoon practice in hours?
\newline
Choices:
\newline
(A)
3
(
h
+
4
)
=
20
3(h + 4) = 20
3
(
h
+
4
)
=
20
\newline
(B)
4
h
+
3
=
20
4h + 3 = 20
4
h
+
3
=
20
\newline
(C)
4
(
h
+
3
)
=
20
4(h + 3) = 20
4
(
h
+
3
)
=
20
\newline
(D)
3
h
+
4
=
20
3h + 4 = 20
3
h
+
4
=
20
\newline
How long is each afternoon practice?
\newline
Write your answer as a whole number or a simplified fraction.
\newline
____ hours
\newline
Get tutor help
The Oakland School's harvest festival is coming up, and Ms. Garza is in charge of ordering the caramel apples again. She knows she ordered
9
9
9
cases of caramel apples last year but can't remember how many apples come in a case. She checks last year's records and finds that the school sold
685
685
685
caramel apples and had
35
35
35
left over.
\newline
Which equation can Ms. Garza use to find how many caramel apples,
c
c
c
, come in each case?
\newline
Choices:
\newline
(A)
685
c
−
9
=
35
685c - 9 = 35
685
c
−
9
=
35
\newline
(B)
685
(
c
−
9
)
=
35
685(c - 9) = 35
685
(
c
−
9
)
=
35
\newline
(C)
9
(
c
−
685
)
=
35
9(c - 685) = 35
9
(
c
−
685
)
=
35
\newline
(D)
9
c
−
685
=
35
9c - 685 = 35
9
c
−
685
=
35
\newline
How many caramel apples come in each case?
\newline
____ caramel apples
Get tutor help
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