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Math Problems
Grade 7
Identify equivalent linear expressions I
Which expression is equivalent to
3
(
4
p
)
3(4p)
3
(
4
p
)
?
\newline
Choices:
\newline
(A)
12
p
12p
12
p
\newline
(B)
4
p
+
3
4p + 3
4
p
+
3
\newline
(C)
p
+
12
p + 12
p
+
12
\newline
(D)
p
+
7
p + 7
p
+
7
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Which expression is equivalent to
8
(
4
n
+
6
)
8(4n + 6)
8
(
4
n
+
6
)
?
\newline
Choices:
\newline
(A)
32
n
+
6
32n + 6
32
n
+
6
\newline
(B)
48
n
+
32
48n + 32
48
n
+
32
\newline
(C)
32
n
+
48
32n + 48
32
n
+
48
\newline
(D)
4
n
+
48
4n + 48
4
n
+
48
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Which expression is equivalent to
6
v
+
2
v
6v + 2v
6
v
+
2
v
?
\newline
Choices:
\newline
(A)
v
+
8
v + 8
v
+
8
\newline
(B)
7
v
7v
7
v
\newline
(C)
8
v
8v
8
v
\newline
(D)
v
8
v^8
v
8
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Which expression is equivalent to
2
r
+
7
r
2r + 7r
2
r
+
7
r
?
\newline
Choices:
\newline
(A)
r
+
9
r + 9
r
+
9
\newline
(B)
8
r
8r
8
r
\newline
(C)
r
9
r^9
r
9
\newline
(D)
9
r
9r
9
r
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Which expression is equivalent to
3
(
7
b
)
3(7b)
3
(
7
b
)
?
\newline
Choices:
\newline
(A)
b
+
21
b + 21
b
+
21
\newline
(B)
7
b
+
3
7b + 3
7
b
+
3
\newline
(C)
21
b
21b
21
b
\newline
(D)
b
+
10
b + 10
b
+
10
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Which expression is equivalent to
5
(
7
p
)
5(7p)
5
(
7
p
)
?
\newline
Choices:
\newline
(A)
p
+
35
p + 35
p
+
35
\newline
(B)
7
p
+
5
7p + 5
7
p
+
5
\newline
(C)
p
+
12
p + 12
p
+
12
\newline
(D)
35
p
35p
35
p
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Which expression is equivalent to
2
(
8
g
+
7
)
2(8g + 7)
2
(
8
g
+
7
)
?
\newline
Choices:
\newline
(A)
8
g
+
14
8g + 14
8
g
+
14
\newline
(B)
16
g
+
14
16g + 14
16
g
+
14
\newline
(C)
16
g
+
7
16g + 7
16
g
+
7
\newline
(D)
14
g
+
16
14g + 16
14
g
+
16
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Which expression is equivalent to
4
(
2
m
)
4(2m)
4
(
2
m
)
?
\newline
Choices:
\newline
(A)
m
+
6
m + 6
m
+
6
\newline
(B)
8
m
8m
8
m
\newline
(C)
m
+
8
m + 8
m
+
8
\newline
(D)
2
m
+
4
2m + 4
2
m
+
4
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Which expression is equivalent to
2
(
8
s
)
2(8s)
2
(
8
s
)
?
\newline
Choices:
\newline
(A)
s
+
16
s + 16
s
+
16
\newline
(B)
16
s
16s
16
s
\newline
(C)
s
+
10
s + 10
s
+
10
\newline
(D)
8
s
+
2
8s + 2
8
s
+
2
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Which expression is equivalent to
3
(
7
r
+
3
)
3(7r + 3)
3
(
7
r
+
3
)
?
\newline
Choices:
\newline
(A)
7
r
+
9
7r + 9
7
r
+
9
\newline
(B)
21
r
+
9
21r + 9
21
r
+
9
\newline
(C)
9
r
+
21
9r + 21
9
r
+
21
\newline
(D)
21
r
+
3
21r + 3
21
r
+
3
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Which expression is equivalent to
9
(
d
+
2
)
9(d + 2)
9
(
d
+
2
)
?
\newline
Choices:
\newline
(A)
18
d
18d
18
d
\newline
(B)
11
d
11d
11
d
\newline
(C)
18
d
+
9
18d + 9
18
d
+
9
\newline
(D)
9
d
+
18
9d + 18
9
d
+
18
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Which expression is equivalent to
9
(
5
a
)
9(5a)
9
(
5
a
)
?
\newline
Choices:
\newline
(A)
45
a
45a
45
a
\newline
(B)
a
+
14
a + 14
a
+
14
\newline
(C)
a
+
45
a + 45
a
+
45
\newline
(D)
5
a
+
9
5a + 9
5
a
+
9
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Which expression is equivalent to
5
(
w
+
6
)
5(w + 6)
5
(
w
+
6
)
?
\newline
Choices:
\newline
(A)
5
w
+
30
5w + 30
5
w
+
30
\newline
(B)
30
w
+
5
30w + 5
30
w
+
5
\newline
(C)
30
w
30w
30
w
\newline
(D)
11
w
11w
11
w
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Which expression is equivalent to
3
(
3
a
+
6
)
3(3a + 6)
3
(
3
a
+
6
)
?
\newline
Choices:
\newline
(A)
18
a
+
9
18a + 9
18
a
+
9
\newline
(B)
3
a
+
18
3a + 18
3
a
+
18
\newline
(C)
9
a
+
6
9a + 6
9
a
+
6
\newline
(D)
9
a
+
18
9a + 18
9
a
+
18
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Which expression is equivalent to
7
(
c
+
2
)
7(c + 2)
7
(
c
+
2
)
?
\newline
Choices:
\newline
(A)
14
c
+
7
14c + 7
14
c
+
7
\newline
(B)
7
c
+
14
7c + 14
7
c
+
14
\newline
(C)
9
c
9c
9
c
\newline
(D)
14
c
14c
14
c
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Which expression is equivalent to
\newline
6
(
3
x
+
4
)
6(3x+4)
6
(
3
x
+
4
)
?
\newline
18
x
+
24
18x+24
18
x
+
24
\newline
9
x
+
10
9x+10
9
x
+
10
\newline
9
x
+
4
9x+4
9
x
+
4
\newline
18
x
+
4
18x+4
18
x
+
4
\newline
My Progress
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Which expression is equivalent to
8
(
f
+
5
)
8(f + 5)
8
(
f
+
5
)
?
\newline
Choices:
\newline
(A)
40
f
+
8
40f + 8
40
f
+
8
\newline
(B)
13
f
13f
13
f
\newline
(C)
40
f
40f
40
f
\newline
(D)
8
f
+
40
8f + 40
8
f
+
40
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Which expression is equivalent to
4
(
w
+
4
)
4(w + 4)
4
(
w
+
4
)
?
\newline
Choices:
\newline
(A)
16
w
16w
16
w
\newline
(B)
8
w
8w
8
w
\newline
(C)
4
w
+
16
4w + 16
4
w
+
16
\newline
(D)
16
w
+
4
16w + 4
16
w
+
4
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Which expression is equivalent to
5
(
v
+
3
)
5(v + 3)
5
(
v
+
3
)
?
\newline
Choices:
\newline
(A)
5
v
+
15
5v + 15
5
v
+
15
\newline
(B)
15
v
+
5
15v + 5
15
v
+
5
\newline
(C)
15
v
15v
15
v
\newline
(D)
8
v
8v
8
v
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Which expression is equivalent to
3
(
b
+
8
)
3(b + 8)
3
(
b
+
8
)
?
\newline
Choices:
\newline
(A)
24
b
24b
24
b
\newline
(B)
11
b
11b
11
b
\newline
(C)
3
b
+
24
3b + 24
3
b
+
24
\newline
(D)
24
b
+
3
24b + 3
24
b
+
3
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Which expression is equivalent to
6
c
+
2
c
6c + 2c
6
c
+
2
c
?
\newline
Choices:
\newline
(A)
c
+
8
c + 8
c
+
8
\newline
(B)
8
c
8c
8
c
\newline
(C)
c
8
c^8
c
8
\newline
(D)
9
c
9c
9
c
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Which expression is equivalent to
6
(
h
+
3
)
6(h + 3)
6
(
h
+
3
)
?
\newline
Choices:
\newline
(A)
9
h
9h
9
h
\newline
(B)
6
h
+
18
6h + 18
6
h
+
18
\newline
(C)
18
h
+
6
18h + 6
18
h
+
6
\newline
(D)
18
h
18h
18
h
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Which expression is equivalent to
6
(
4
u
)
6(4u)
6
(
4
u
)
?
\newline
Choices:
\newline
(A)
4
u
+
6
4u + 6
4
u
+
6
\newline
(B)
u
+
24
u + 24
u
+
24
\newline
(C)
24
u
24u
24
u
\newline
(D)
u
+
10
u + 10
u
+
10
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Which expression is equivalent to
9
(
5
a
)
9(5a)
9
(
5
a
)
?
\newline
Choices:
\newline
(A)
a
+
45
a + 45
a
+
45
\newline
(B)
5
a
+
9
5a + 9
5
a
+
9
\newline
(C)
45
a
45a
45
a
\newline
(D)
a
+
14
a + 14
a
+
14
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Which expression is equivalent to
4
(
k
+
3
)
4(k + 3)
4
(
k
+
3
)
?
\newline
Choices:
\newline
(A)
7
k
7k
7
k
\newline
(B)
12
k
+
4
12k + 4
12
k
+
4
\newline
(C)
4
k
+
12
4k + 12
4
k
+
12
\newline
(D)
12
k
12k
12
k
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Which expression is equivalent to
7
(
w
+
5
)
7(w + 5)
7
(
w
+
5
)
?
\newline
Choices:
\newline
(A)
35
w
+
7
35w + 7
35
w
+
7
\newline
(B)
7
w
+
35
7w + 35
7
w
+
35
\newline
(C)
12
w
12w
12
w
\newline
(D)
35
w
35w
35
w
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The expression
−
3
[
2
x
−
(
x
−
6
)
]
- 3 [ 2 x - ( x - 6 ) ]
−
3
[
2
x
−
(
x
−
6
)]
is equivalent to:
Get tutor help
2
2
2
The expression
3
(
x
+
4
)
+
(
2
x
+
7
)
3(x+4)+(2 x+7)
3
(
x
+
4
)
+
(
2
x
+
7
)
is equivalent to
\newline
(
1
1
1
)
x
+
5
x+5
x
+
5
\newline
(
3
3
3
)
x
−
3
x-3
x
−
3
\newline
(
2
2
2
)
x
−
10
x-10
x
−
10
\newline
(
4
4
4
)
x
+
11
x+11
x
+
11
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During a timed test, Alexander typed
742
742
742
words in
14
14
14
minutes. Assuming Alexander works at this rate for the next hour, which of the following best approximates the number of words he would type in that hour?
\newline
Choose
1
1
1
answer:
\newline
(A)
53
53
53
\newline
(B)
840
840
840
\newline
(C)
3
3
3
,
180
180
180
\newline
(D)
44
44
44
,
520
520
520
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4
4
4
. Which expression is equivalent to
9
y
−
1
2
(
4
y
+
20
)
9 y-\frac{1}{2}(4 y+20)
9
y
−
2
1
(
4
y
+
20
)
?
\newline
F.
11
y
−
10
11 y-10
11
y
−
10
\newline
H.
7
y
+
10
7 y+10
7
y
+
10
\newline
G.
7
y
−
10
7 y-10
7
y
−
10
\newline
J.
11
y
+
10
11 y+10
11
y
+
10
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Which expression is equivalent to
10
f
−
5
f
+
8
+
6
g
+
4
?
10 f-5 f+8+6 g+4 ?
10
f
−
5
f
+
8
+
6
g
+
4
?
\newline
5
f
+
6
g
+
12
5 f+6 g+12
5
f
+
6
g
+
12
\newline
5
f
+
14
g
+
4
5 f+14 g+4
5
f
+
14
g
+
4
\newline
15
f
+
14
g
+
4
15 f+14 g+4
15
f
+
14
g
+
4
\newline
15
f
+
8
+
10
g
15 f+8+10 g
15
f
+
8
+
10
g
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Which expression is equivalent to
2
(
4
x
+
7
)
−
3
(
8
x
−
4
)
2(4 x+7)-3(8 x-4)
2
(
4
x
+
7
)
−
3
(
8
x
−
4
)
?
\newline
(A)
−
16
x
+
2
-16x+2
−
16
x
+
2
\newline
(B)
−
16
x
+
26
-16x+26
−
16
x
+
26
\newline
(C)
−
20
x
+
22
-20x+22
−
20
x
+
22
\newline
(D)
8
x
8 x
8
x
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Which expression is equivalent to
n
+
0.76
n
+
0.37
n
n+0.76 n+0.37 n
n
+
0.76
n
+
0.37
n
?
\newline
n
+
1.13
n+1.13
n
+
1.13
\newline
−
0.61
n
-0.61 n
−
0.61
n
\newline
1
+
1.13
n
1+1.13 n
1
+
1.13
n
\newline
2.13
n
2.13 n
2.13
n
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Which expression is equivalent to
b
+
0.95
b
+
0.86
b
b+0.95 b+0.86 b
b
+
0.95
b
+
0.86
b
?
\newline
2.81
b
2.81 b
2.81
b
\newline
b
+
1.81
b+1.81
b
+
1.81
\newline
1.81
b
1.81 b
1.81
b
\newline
1
+
1.81
b
1+1.81 b
1
+
1.81
b
Get tutor help
Which expression is equivalent to
v
+
0.59
v
−
0.07
v+0.59 v-0.07
v
+
0.59
v
−
0.07
?
\newline
1.52
v
1.52 v
1.52
v
\newline
v
+
0.52
v+0.52
v
+
0.52
\newline
1.66
v
1.66 v
1.66
v
\newline
−
0.07
+
1.59
v
-0.07+1.59 v
−
0.07
+
1.59
v
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Which expression is equivalent to
s
−
0.91
s
+
0.61
s-0.91 s+0.61
s
−
0.91
s
+
0.61
?
\newline
0.61
+
0.09
s
0.61+0.09 s
0.61
+
0.09
s
\newline
−
0.52
s
-0.52 s
−
0.52
s
\newline
0.7
s
0.7 \mathrm{~s}
0.7
s
\newline
s
−
0.3
s-0.3
s
−
0.3
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Which expression is equivalent to
6
x
+
x
−
3
x
6 x+x-3 x
6
x
+
x
−
3
x
?
\newline
1
+
3
x
1+3 x
1
+
3
x
\newline
−
8
x
-8 x
−
8
x
\newline
4
x
4 x
4
x
\newline
x
+
3
x+3
x
+
3
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Which expression is equivalent to
h
+
8
+
5
h
h+8+5 h
h
+
8
+
5
h
?
\newline
6
h
+
8
6 h+8
6
h
+
8
\newline
12
h
12 h
12
h
\newline
h
+
13
h+13
h
+
13
\newline
14
h
14 h
14
h
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Which expression is equivalent to
2
x
+
x
+
10
x
2 x+x+10 x
2
x
+
x
+
10
x
?
\newline
13
x
13 x
13
x
\newline
1
+
12
x
1+12 x
1
+
12
x
\newline
−
9
x
-9 x
−
9
x
\newline
x
+
12
x+12
x
+
12
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Which expression is equivalent to
2
+
8
k
+
k
2+8 k+k
2
+
8
k
+
k
?
\newline
11
k
11 k
11
k
\newline
2
+
9
k
2+9 k
2
+
9
k
\newline
7
k
7 k
7
k
\newline
10
+
k
10+k
10
+
k
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Which expression is equivalent to
9
x
+
10
−
3
x
+
1
9 x+10-3 x+1
9
x
+
10
−
3
x
+
1
?
\newline
12
x
+
9
12 x+9
12
x
+
9
\newline
11
+
6
x
11+6 x
11
+
6
x
\newline
19
x
−
2
19 x-2
19
x
−
2
\newline
6
x
+
9
6 x+9
6
x
+
9
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Which pair of expressions below are equivalent?
\newline
r
+
r
+
r
+
r
+
s
r+r+r+r+s
r
+
r
+
r
+
r
+
s
and
5
r
s
5 r s
5
rs
\newline
4
(
8
r
)
4(8 r)
4
(
8
r
)
and
12
r
12 r
12
r
\newline
4
r
+
8
s
4 r+8 s
4
r
+
8
s
and
8
s
+
4
r
8 s+4 r
8
s
+
4
r
\newline
9
r
+
9
r
9 r+9 r
9
r
+
9
r
and
81
r
81 r
81
r
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Which expression is equivalent to
8
(
d
+
2
)
8(d + 2)
8
(
d
+
2
)
?
\newline
Choices:
\newline
(A)
16
d
16d
16
d
\newline
(B)
8
d
+
16
8d + 16
8
d
+
16
\newline
(C)
10
d
10d
10
d
\newline
(D)
16
d
+
8
16d + 8
16
d
+
8
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Which expression is equivalent to
5
(
w
+
2
)
5(w + 2)
5
(
w
+
2
)
?
\newline
Choices:
\newline
(A)
7
w
7w
7
w
\newline
(B)
10
w
+
5
10w + 5
10
w
+
5
\newline
(C)
10
w
10w
10
w
\newline
(D)
5
w
+
10
5w + 10
5
w
+
10
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Which expression is equivalent to
6
(
8
u
)
6(8u)
6
(
8
u
)
?
\newline
Choices:
\newline
(A)
u
+
14
u + 14
u
+
14
\newline
(B)
u
+
48
u + 48
u
+
48
\newline
(C)
8
u
+
6
8u + 6
8
u
+
6
\newline
(D)
48
u
48u
48
u
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Which expression is equivalent to
2
(
5
x
)
2(5x)
2
(
5
x
)
?
\newline
Choices:
\newline
(A)
5
x
+
2
5x + 2
5
x
+
2
\newline
(B)
x
+
7
x + 7
x
+
7
\newline
(C)
10
x
10x
10
x
\newline
(D)
x
+
10
x + 10
x
+
10
Get tutor help
Which expression is equivalent to
6
(
8
x
)
6(8x)
6
(
8
x
)
?
\newline
Choices:
\newline
(A)
x
+
48
x + 48
x
+
48
\newline
(B)
x
+
14
x + 14
x
+
14
\newline
(C)
48
x
48x
48
x
\newline
(D)
8
x
+
6
8x + 6
8
x
+
6
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Which expression is equivalent to
7
(
3
h
)
7(3h)
7
(
3
h
)
?
\newline
Choices:
\newline
(A)
3
h
+
7
3h + 7
3
h
+
7
\newline
(B)
h
+
10
h + 10
h
+
10
\newline
(C)
21
h
21h
21
h
\newline
(D)
h
+
21
h + 21
h
+
21
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Which expression is equivalent to
2
(
4
z
)
2(4z)
2
(
4
z
)
?
\newline
Choices:
\newline
(A)
4
z
+
2
4z + 2
4
z
+
2
\newline
(B)
z
+
6
z + 6
z
+
6
\newline
(C)
z
+
8
z + 8
z
+
8
\newline
(D)
8
z
8z
8
z
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Which expression is equivalent to
8
(
2
y
)
8(2y)
8
(
2
y
)
?
\newline
Choices:
\newline
(A)
y
+
16
y + 16
y
+
16
\newline
(B)
y
+
10
y + 10
y
+
10
\newline
(C)
2
y
+
8
2y + 8
2
y
+
8
\newline
(D)
16
y
16y
16
y
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