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Math Problems
Grade 7
Write variable expressions: word problems
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
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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
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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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