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Let’s check out your problem:
Which expression is equivalent to
2
(
8
c
)
2(8c)
2
(
8
c
)
?
\newline
Choices:
\newline
(A)
16
c
16c
16
c
\newline
(B)
c
+
16
c + 16
c
+
16
\newline
(C)
c
+
10
c + 10
c
+
10
\newline
(D)
8
c
+
2
8c + 2
8
c
+
2
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Math Problems
Grade 7
Identify equivalent linear expressions I
Full solution
Q.
Which expression is equivalent to
2
(
8
c
)
2(8c)
2
(
8
c
)
?
\newline
Choices:
\newline
(A)
16
c
16c
16
c
\newline
(B)
c
+
16
c + 16
c
+
16
\newline
(C)
c
+
10
c + 10
c
+
10
\newline
(D)
8
c
+
2
8c + 2
8
c
+
2
Calculate Product:
Calculate the product of
2
2
2
and
8
8
8
.
2
×
8
=
16
2 \times 8 = 16
2
×
8
=
16
Apply Distributive Property:
Apply the
distributive property
to find the equivalent expression for
2
(
8
c
)
2(8c)
2
(
8
c
)
.
\newline
2
(
8
c
)
=
(
2
×
8
)
c
2(8c) = (2 \times 8)c
2
(
8
c
)
=
(
2
×
8
)
c
\newline
2
(
8
c
)
=
16
c
2(8c) = 16c
2
(
8
c
)
=
16
c
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