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Math Problems
Grade 7
Write variable expressions: word problems
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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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
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
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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
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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
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
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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
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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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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)
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
Get tutor help
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
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)
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
Get tutor help
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
Get tutor help
Ibuki factored
12
x
7
12 x^{7}
12
x
7
as
(
4
x
3
)
(
3
x
4
)
\left(4 x^{3}\right)\left(3 x^{4}\right)
(
4
x
3
)
(
3
x
4
)
.
\newline
Melodie factored
12
x
7
12 x^{7}
12
x
7
as
(
2
x
6
)
(
6
x
)
\left(2 x^{6}\right)(6 x)
(
2
x
6
)
(
6
x
)
.
\newline
Which of them factored
12
x
7
12 x^{7}
12
x
7
correctly?
\newline
Choose
1
1
1
answer:
\newline
(A) Only Ibuki
\newline
(B) Only Melodie
\newline
(C) Both Ibuki and Melodie
\newline
(D) Neither Ibuki nor Melodie
Get tutor help
Factor
60
y
−
90
−
20
x
60 y-90-20 x
60
y
−
90
−
20
x
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
A
5
(
14
y
−
16
−
4
x
)
5(14 y-16-4 x)
5
(
14
y
−
16
−
4
x
)
\newline
B
2
(
30
−
45
−
10
)
2(30-45-10)
2
(
30
−
45
−
10
)
\newline
C
5
(
12
y
−
18
−
4
x
)
5(12 y-18-4 x)
5
(
12
y
−
18
−
4
x
)
\newline
D
10
(
6
y
−
9
−
2
x
)
10(6 y-9-2 x)
10
(
6
y
−
9
−
2
x
)
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Factor
64
f
−
64
g
+
96
64 f-64 g+96
64
f
−
64
g
+
96
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
A
64
(
f
−
g
+
2
)
64(f-g+2)
64
(
f
−
g
+
2
)
\newline
B
8
(
8
f
−
8
g
+
12
)
8(8 f-8 g+12)
8
(
8
f
−
8
g
+
12
)
\newline
C
4
(
16
f
−
16
+
24
g
)
4(16 f-16+24 g)
4
(
16
f
−
16
+
24
g
)
\newline
D
32
(
2
f
−
2
g
+
3
)
32(2 f-2 g+3)
32
(
2
f
−
2
g
+
3
)
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Ava sold
30
30
30
tickets. Noah sold
t
t
t
fewer tickets than Ava. Choose the expression that shows how many tickets Noah sold.
\newline
Choices:
\newline
(A)
30
30
30
\newline
(B)
t
−
30
t - 30
t
−
30
\newline
(C)
30
+
t
30 + t
30
+
t
\newline
(D)
30
−
t
30 - t
30
−
t
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Carlos wrote
20
20
20
poems. Fiona wrote
p
p
p
fewer poems than Carlos. Choose the expression that shows how many poems Fiona wrote.
\newline
Choices:
\newline
(A)
20
20
20
\newline
(B)
p
−
20
p - 20
p
−
20
\newline
(C)
20
+
p
20 + p
20
+
p
\newline
(D)
20
−
p
20 - p
20
−
p
Get tutor help
Max ran
10
10
10
miles. Sarah ran
m
m
m
fewer miles than Max. Choose the expression that shows how many miles Sarah ran.
\newline
Choices:
\newline
(
A
)
10
(A)10
(
A
)
10
\newline
(
B
)
m
−
10
(B)m - 10
(
B
)
m
−
10
\newline
(
C
)
10
+
m
(C)10 + m
(
C
)
10
+
m
\newline
(
D
)
10
−
m
(D)10 - m
(
D
)
10
−
m
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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
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John baked
12
12
12
cookies. Alice baked
n
n
n
fewer cookies than John.
\newline
Choose the expression that shows how many cookies Alice baked.
\newline
Choices:
\newline
(A)
12
12
12
\newline
(B)
n
−
12
n - 12
n
−
12
\newline
(C)
12
+
n
12 + n
12
+
n
\newline
(D)
12
−
n
12 - n
12
−
n
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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
8
8
\newline
(B)
p
−
8
p - 8
p
−
8
\newline
(C)
8
+
p
8 + p
8
+
p
\newline
(D)
8
−
p
8 - p
8
−
p
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