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Math Problems
Grade 7
Write variable expressions: word problems
Seth mowed his neighbor's lawn
m
m
m
times. He earned
15
15
15
dollars each time. Choose the expression that shows how many dollars Seth earned.
\newline
Choices:
\newline
(A)
m
15
\frac{m}{15}
15
m
\newline
(B)
15
m
15m
15
m
\newline
(C)
m
−
15
m - 15
m
−
15
\newline
(D)
m
+
15
m + 15
m
+
15
Get tutor help
The store clerk created a display of
r
r
r
rows of cereal boxes. Each row contained
16
16
16
boxes. Choose the expression that shows the total number of cereal boxes on display.
\newline
Choices:
\newline
(A)
16
r
16r
16
r
\newline
(B)
r
16
\frac{r}{16}
16
r
\newline
(C)
r
+
16
r + 16
r
+
16
\newline
(D)
r
−
16
r - 16
r
−
16
Get tutor help
A zoo's gift shop ordered
20
20
20
stuffed koalas. They came in boxes that each held
b
b
b
koalas. Choose the expression that shows how many boxes there were.
\newline
Choices:
\newline
(A)
20
b
\frac{20}{b}
b
20
\newline
(B)
20
−
b
20 - b
20
−
b
\newline
(C)
20
+
b
20 + b
20
+
b
\newline
(D)
20
b
20b
20
b
Get tutor help
Oscar walked his dog
b
b
b
blocks in the morning and
6
6
6
blocks in the afternoon. Choose the expression that shows the number of blocks Oscar walked his dog in all.
\newline
Choices:
\newline
(A)
b
6
\frac{b}{6}
6
b
\newline
(B)
b
+
6
b + 6
b
+
6
\newline
(C)
b
−
6
b - 6
b
−
6
\newline
(D)
6
b
6b
6
b
Get tutor help
The store clerk created a display of
r
r
r
rows of cereal boxes. Each row contained
16
16
16
boxes. Choose the expression that shows the total number of cereal boxes on display.
\newline
Choices:
\newline
(A)
r
16
\frac{r}{16}
16
r
\newline
(B)
r
−
16
r - 16
r
−
16
\newline
(C)
r
+
16
r + 16
r
+
16
\newline
(D)
16
r
16r
16
r
Get tutor help
Joy has biked
2
2
2
of the
m
m
m
miles in the bike race. Choose the expression that shows the number of miles Joy has left to bike.
\newline
Choices:
\newline
(A)
m
2
\frac{m}{2}
2
m
\newline
(B)
m
+
2
m + 2
m
+
2
\newline
(C)
m
−
2
m - 2
m
−
2
\newline
(D)
2
m
2m
2
m
Get tutor help
Hayley has
f
f
f
fish in her fish tank. Carson has
3
3
3
times as many fish as Hayley. Choose the expression that shows how many fish Carson has.
\newline
Choices:
\newline
(A)
f
3
\frac{f}{3}
3
f
\newline
(B)
f
−
3
f - 3
f
−
3
\newline
(C)
f
+
3
f + 3
f
+
3
\newline
(D)
3
f
3f
3
f
Get tutor help
Jasmine is
10
10
10
years old. Larry is
y
y
y
years younger than Jasmine. Choose the expression that shows how many years old Larry is.
\newline
Choices:
\newline
(A)
10
−
y
10 - y
10
−
y
\newline
(B)
10
y
\frac{10}{y}
y
10
\newline
(C)
10
y
10y
10
y
\newline
(D)
10
+
y
10 + y
10
+
y
Get tutor help
Mr. Rollins read
11
11
11
more book reports on Saturday than on Friday. He read
b
b
b
book reports on Friday. Choose the expression that shows the number of book reports Mr. Rollins read on Saturday.
\newline
Choices:
\newline
(A)
b
11
\frac{b}{11}
11
b
\newline
(B)
b
−
11
b - 11
b
−
11
\newline
(C)
b
+
11
b + 11
b
+
11
\newline
(D)
11
b
11b
11
b
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The store clerk put
b
b
b
bottles of milk in the cooler, and
11
11
11
of the bottles are chocolate milk. Choose the expression that shows the number of milk bottles that are not chocolate.
\newline
Choices:
\newline
(A)
b
11
\frac{b}{11}
11
b
\newline
(B)
b
−
11
b - 11
b
−
11
\newline
(C)
b
+
11
b + 11
b
+
11
\newline
(D)
11
b
11b
11
b
Get tutor help
Chloe ran
2.3
2.3
2.3
miles yesterday. Today, she ran
4.2
4.2
4.2
miles. How far did Chloe run all together?
\newline
Choices:
\newline
(A)
5.5
5.5
5.5
miles
\newline
(B)
6.5
6.5
6.5
miles
\newline
(C)
6.2
6.2
6.2
miles
\newline
(D)
6.9
6.9
6.9
miles
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Jerry has
f
f
f
football cards. He has
18
18
18
more baseball cards than football cards. Choose the expression that shows how many baseball cards Jerry has.
\newline
Choices:
\newline
(A)
f
f
f
\newline
(B)
f
−
18
f - 18
f
−
18
\newline
(C)
18
−
f
18 - f
18
−
f
\newline
(D)
f
+
18
f + 18
f
+
18
Get tutor help
Dale drew
8
8
8
pictures. Belle drew
p
p
p
fewer pictures than Dale. Choose the expression that shows how many pictures Belle drew.
\newline
Choices:
\newline
(A)
8
+
p
8 + p
8
+
p
\newline
(B)
8
−
p
8 - p
8
−
p
\newline
(C)
p
−
8
p - 8
p
−
8
\newline
(D)
8
8
8
Get tutor help
Maria read
9
9
9
books over summer vacation. Jim read
b
b
b
more books than Maria. Choose the expression that shows how many books Jim read.
\newline
Choices:
\newline
(A)
9
9
9
\newline
(B)
9
+
b
9 + b
9
+
b
\newline
(C)
9
−
b
9 - b
9
−
b
\newline
(D)
b
−
9
b - 9
b
−
9
Get tutor help
Justin earned
7
7
7
extra credit points. Pamela earned
p
p
p
fewer extra credit points than Justin. Choose the expression that shows how many extra credit points Pamela earned.
\newline
Choices:
\newline
(A)
p
−
7
p - 7
p
−
7
\newline
(B)
p
p
p
\newline
(C)
7
−
p
7 - p
7
−
p
\newline
(D)
7
+
p
7 + p
7
+
p
Get tutor help
Wendy needs
c
c
c
cups of flour to make brownies. She has
5
5
5
cups of flour in her cupboard. Choose the expression that shows how many cups of flour Wendy will have left after making the brownies.
\newline
Choices:
\newline
(A)
5
+
c
5 + c
5
+
c
\newline
(B)
c
−
5
c - 5
c
−
5
\newline
(C)
5
−
c
5 - c
5
−
c
\newline
(D)
c
c
c
Get tutor help
The chef chopped
14
14
14
red peppers and
g
g
g
green peppers. Choose the expression that shows how many peppers the chef chopped in all.
\newline
Choices:
\newline
(A)
g
−
14
g - 14
g
−
14
\newline
(B)
14
14
14
\newline
(C)
14
−
g
14 - g
14
−
g
\newline
(D)
14
+
g
14 + g
14
+
g
Get tutor help
The team ordered
3
3
3
cheese pizzas for the year-end party. They ordered
p
p
p
more pepperoni pizzas than cheese pizzas. Choose the expression that shows how many pepperoni pizzas the team ordered.
\newline
Choices:
\newline
(A)
p
p
p
\newline
(B)
3
−
p
3 - p
3
−
p
\newline
(C)
p
−
3
p - 3
p
−
3
\newline
(D)
3
+
p
3 + p
3
+
p
Get tutor help
Nathan lives
8
8
8
blocks from school. He just left school and walked
b
b
b
blocks toward home. Choose the expression that shows the number of blocks remaining.
\newline
Choices:
\newline
(A)
8
8
8
\newline
(B)
8
+
b
8 + b
8
+
b
\newline
(C)
8
−
b
8 - b
8
−
b
\newline
(D)
b
−
8
b - 8
b
−
8
Get tutor help
Tracy collected
s
s
s
gold stars in her video game in Level
1
1
1
. She collected another
11
11
11
gold stars in Level
2
2
2
. Choose the expression that shows the number of gold stars Tracy collected in all.
\newline
Choices:
\newline
(A)
11
−
s
11 - s
11
−
s
\newline
(B)
s
s
s
\newline
(C)
s
−
11
s - 11
s
−
11
\newline
(D)
s
+
11
s + 11
s
+
11
Get tutor help
Cooper has
16
16
16
math problems to do for homework. He has already finished
p
p
p
of them. Choose the expression that shows how many math problems Cooper has left.
\newline
Choices:
\newline
(A)
p
−
16
p - 16
p
−
16
\newline
(B)
16
+
p
16 + p
16
+
p
\newline
(C)
16
−
p
16 - p
16
−
p
\newline
(D)
16
16
16
Get tutor help
Clara has already eaten
y
y
y
of the
12
12
12
containers of yogurt she bought at the store. Choose the expression that shows how many containers of yogurt Clara has left.
\newline
Choices:
\newline
(A)
12
+
y
12 + y
12
+
y
\newline
(B)
y
y
y
\newline
(C)
12
−
y
12 - y
12
−
y
\newline
(D)
y
−
12
y - 12
y
−
12
Get tutor help
The chef peeled
p
p
p
potatoes before lunch and another
20
20
20
potatoes after lunch. Choose the expression that shows the number of potatoes the chef peeled in all.
\newline
Choices:
\newline
(A)
20
−
p
20 - p
20
−
p
\newline
(B)
p
p
p
\newline
(C)
p
−
20
p - 20
p
−
20
\newline
(D)
p
+
20
p + 20
p
+
20
Get tutor help
Steven had already read
p
p
p
pages of his book. During the afternoon, he read
15
15
15
more pages. Choose the expression that shows how many pages Steven has read in all.
\newline
Choices:
\newline
(A)
p
−
15
p - 15
p
−
15
\newline
(B)
15
−
p
15 - p
15
−
p
\newline
(C)
p
p
p
\newline
(D)
p
+
15
p + 15
p
+
15
Get tutor help
Emma read
15
15
15
books. Lucas read
b
b
b
fewer books than Emma. Choose the expression that shows how many books Lucas read.
\newline
Choices:
\newline
a)
15
15
15
\newline
b)
b
−
15
b - 15
b
−
15
\newline
c)
15
+
b
15 + b
15
+
b
\newline
d)
15
−
b
15 - b
15
−
b
Get tutor help
At the bake sale,
12
12
12
out of
s
s
s
bags of snack mix were sold. Choose the expression that shows how many bags of snack mix are left unsold.
\newline
Choices:
\newline
(A)
s
+
12
s + 12
s
+
12
\newline
(B)
s
−
12
s - 12
s
−
12
\newline
(C)
s
s
s
\newline
(D)
12
−
s
12 - s
12
−
s
Get tutor help
Paul bought a package of
12
12
12
bagels. He gave
b
b
b
of them to his friends. Choose the expression that shows the number of bagels Paul has left.
\newline
Choices:
\newline
(A)
12
12
12
\newline
(B)
12
+
b
12 + b
12
+
b
\newline
(C)
b
−
12
b - 12
b
−
12
\newline
(D)
12
−
b
12 - b
12
−
b
Get tutor help
Scott ate
g
g
g
out of
12
12
12
gumdrops. Choose the expression that shows how many gumdrops Scott has left.
\newline
Choices:
\newline
(A)
g
−
12
g - 12
g
−
12
\newline
(B)
g
g
g
\newline
(C)
12
−
g
12 - g
12
−
g
\newline
(D)
12
+
g
12 + g
12
+
g
Get tutor help
Jerry has
f
f
f
football cards. He has
18
18
18
more baseball cards than football cards. Choose the expression that shows how many baseball cards Jerry has.
\newline
Choices:
\newline
(A)
f
f
f
\newline
(B)
f
+
18
f + 18
f
+
18
\newline
(C)
f
−
18
f - 18
f
−
18
\newline
(D)
18
−
f
18 - f
18
−
f
Get tutor help
Dale drew
8
8
8
pictures. Belle drew
p
p
p
fewer pictures than Dale. Choose the expression that shows how many pictures Belle drew.
\newline
Choices:
\newline
(A)
p
−
8
p - 8
p
−
8
\newline
(B)
8
+
p
8 + p
8
+
p
\newline
(C)
8
−
p
8 - p
8
−
p
\newline
(D)
8
8
8
Get tutor help
Christine had already knitted
15
15
15
rows of a scarf. She knitted
r
r
r
more rows over the weekend. Choose the expression that shows the number of rows Christine has knitted in all.
\newline
Choices:
\newline
(A)
15
−
r
15 - r
15
−
r
\newline
(B)
r
−
15
r - 15
r
−
15
\newline
(C)
15
+
r
15 + r
15
+
r
\newline
(D)
15
15
15
Get tutor help
The chef peeled
p
p
p
potatoes before lunch and another
20
20
20
potatoes after lunch. Choose the expression that shows the number of potatoes the chef peeled in all.
\newline
Choices:
\newline
(A)
p
+
20
p + 20
p
+
20
\newline
(B)
p
−
20
p - 20
p
−
20
\newline
(C)
p
p
p
\newline
(D)
20
−
p
20 - p
20
−
p
Get tutor help
Peter had already finished
m
m
m
of his math problems. Then he finished
7
7
7
more problems. Choose the expression that shows the number of problems Peter has finished.
\newline
Choices:
\newline
(A)
7
7
7
\newline
(B)
7
−
m
7 - m
7
−
m
\newline
(C)
m
+
7
m + 7
m
+
7
\newline
(D)
m
−
7
m - 7
m
−
7
Get tutor help
At the library, Alice checked out
3
3
3
paperback books and
h
h
h
hardcover books. Choose the expression that shows how many books Alice checked out in all.
\newline
Choices:
\newline
(A)
3
+
h
3 + h
3
+
h
\newline
(B)
3
3
3
\newline
(C)
3
−
h
3 - h
3
−
h
\newline
(D)
h
−
3
h - 3
h
−
3
Get tutor help
Nathan lives
8
8
8
blocks from school. He just left school and walked
b
b
b
blocks toward home. Choose the expression that shows the number of blocks remaining.
\newline
Choices:
\newline
(A)
8
+
b
8 + b
8
+
b
\newline
(B)
8
−
b
8 - b
8
−
b
\newline
(C)
8
8
8
\newline
(D)
b
−
8
b - 8
b
−
8
Get tutor help
Nicole has
g
g
g
glitter pencils and
12
12
12
regular pencils. Choose the expression that shows the number of pencils Nicole has in all.
\newline
Choices:
\newline
(A)
12
12
12
\newline
(B)
12
−
g
12 - g
12
−
g
\newline
(C)
g
−
12
g - 12
g
−
12
\newline
(D)
g
+
12
g + 12
g
+
12
Get tutor help
Philip picked
15
15
15
pears. Christina picked
p
p
p
fewer pears than Philip. Choose the expression that shows how many pears Christina picked.
\newline
Choices:
\newline
(A)
15
−
p
15 - p
15
−
p
\newline
(B)
p
p
p
\newline
(C)
p
−
15
p - 15
p
−
15
\newline
(D)
15
+
p
15 + p
15
+
p
Get tutor help
Manny has
g
g
g
gumballs. Emmy has
3
3
3
fewer gumballs than Manny. Choose the expression that shows how many gumballs Emmy has.
\newline
Choices:
\newline
(A)
3
3
3
\newline
(B)
g
−
3
g - 3
g
−
3
\newline
(C)
3
−
g
3 - g
3
−
g
\newline
(D)
g
+
3
g + 3
g
+
3
Get tutor help
Cooper has
16
16
16
math problems to do for homework. He has already finished
p
p
p
of them. Choose the expression that shows how many math problems Cooper has left.
\newline
Choices:
\newline
(A)
16
+
p
16 + p
16
+
p
\newline
(B)
16
−
p
16 - p
16
−
p
\newline
(C)
16
16
16
\newline
(D)
p
−
16
p - 16
p
−
16
Get tutor help
Ms. Clark's class has
r
r
r
right-handed students and
18
18
18
left-handed students. Choose the expression that shows how many students are in the class.
\newline
Choices:
\newline
(A)
18
−
r
18 - r
18
−
r
\newline
(B)
r
−
18
r - 18
r
−
18
\newline
(C)
r
+
18
r + 18
r
+
18
\newline
(D)
18
18
18
Get tutor help
Kayla has taken
d
d
d
more dance lessons than violin lessons. She has taken
9
9
9
violin lessons. Choose the expression that shows how many dance lessons Kayla has taken.
\newline
Choices:
\newline
(A)
d
d
d
\newline
(B)
9
+
d
9 + d
9
+
d
\newline
(C)
9
−
d
9 - d
9
−
d
\newline
(D)
d
−
9
d - 9
d
−
9
Get tutor help
Donald has
p
p
p
peppermints. Greta has
4
4
4
fewer peppermints than Donald. Choose the expression that shows how many peppermints Greta has.
\newline
Choices:
\newline
(A)
4
−
p
4 - p
4
−
p
\newline
(B)
p
p
p
\newline
(C)
p
+
4
p + 4
p
+
4
\newline
(D)
p
−
4
p - 4
p
−
4
Get tutor help
Steven had already read
p
p
p
pages of his book. During the afternoon, he read
15
15
15
more pages. Choose the expression that shows how many pages Steven has read in all.
\newline
Choices:
\newline
(A)
p
+
15
p + 15
p
+
15
\newline
(B)
p
p
p
\newline
(C)
p
−
15
p - 15
p
−
15
\newline
(D)
15
−
p
15 - p
15
−
p
Get tutor help
Wendy needs
c
c
c
cups of flour to make brownies. She has
5
5
5
cups of flour in her cupboard. Choose the expression that shows how many cups of flour Wendy will have left after making the brownies.
\newline
Choices:
\newline
(A)
c
−
5
c - 5
c
−
5
\newline
(B)
c
c
c
\newline
(C)
5
−
c
5 - c
5
−
c
\newline
(D)
5
+
c
5 + c
5
+
c
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Tracy collected
s
s
s
gold stars in her video game in Level
1
1
1
. She collected another
11
11
11
gold stars in Level
2
2
2
. Choose the expression that shows the number of gold stars Tracy collected in all.
\newline
Choices:
\newline
(A)
s
−
11
s - 11
s
−
11
\newline
(B)
s
+
11
s + 11
s
+
11
\newline
(C)
11
−
s
11 - s
11
−
s
\newline
(D)
s
s
s
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Jonathan had
14
14
14
stamps in his collection. Then his grandfather gave him
s
s
s
more stamps. Choose the expression that shows the number of stamps Jonathan has now.
\newline
Choices:
\newline
(A)
14
−
s
14 - s
14
−
s
\newline
(B)
14
+
s
14 + s
14
+
s
\newline
(C)
s
−
14
s - 14
s
−
14
\newline
(D)
s
s
s
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Justin earned
7
7
7
extra credit points. Pamela earned
p
p
p
fewer extra credit points than Justin. Choose the expression that shows how many extra credit points Pamela earned.
\newline
Choices:
\newline
(A)
7
−
p
7 - p
7
−
p
\newline
(B)
p
p
p
\newline
(C)
7
+
p
7 + p
7
+
p
\newline
(D)
p
−
7
p - 7
p
−
7
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Clara has already eaten
y
y
y
of the
12
12
12
containers of yogurt she bought at the store. Choose the expression that shows how many containers of yogurt Clara has left.
\newline
Choices:
\newline
(A)
y
−
12
y - 12
y
−
12
\newline
(B)
y
y
y
\newline
(C)
12
−
y
12 - y
12
−
y
\newline
(D)
12
+
y
12 + y
12
+
y
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Mary swam
n
n
n
laps during the week and
10
10
10
laps over the weekend. Choose the expression that shows how many laps she swam in all.
\newline
Choices:
\newline
(A)
n
−
10
n - 10
n
−
10
\newline
(B)
n
+
10
n + 10
n
+
10
\newline
(C)
n
n
n
\newline
(D)
10
−
n
10 - n
10
−
n
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Hiro factored
14
y
3
14 y^{3}
14
y
3
as
(
7
y
2
)
(
2
y
)
\left(7 y^{2}\right)(2 y)
(
7
y
2
)
(
2
y
)
.
\newline
Bilal factored
14
y
3
14 y^{3}
14
y
3
as
(
10
y
)
(
4
y
2
)
(10 y)\left(4 y^{2}\right)
(
10
y
)
(
4
y
2
)
.
\newline
Which of them factored
14
y
3
14 y^{3}
14
y
3
correctly?
\newline
Choose
1
1
1
answer:
\newline
(A) Only Hiro
\newline
(B) Only Bilal
\newline
(C) Both Hiro and Bilal
\newline
(D) Neither Hiro nor Bilal
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