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Let’s check out your problem:
Which expression is equivalent to
6
(
v
+
5
)
6(v + 5)
6
(
v
+
5
)
?
\newline
Choices:
\newline
(A)
11
v
11v
11
v
\newline
(B)
6
v
+
30
6v + 30
6
v
+
30
\newline
(C)
30
v
+
6
30v + 6
30
v
+
6
\newline
(D)
30
v
30v
30
v
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Math Problems
Algebra 1
Identify equivalent linear expressions
Full solution
Q.
Which expression is equivalent to
6
(
v
+
5
)
6(v + 5)
6
(
v
+
5
)
?
\newline
Choices:
\newline
(A)
11
v
11v
11
v
\newline
(B)
6
v
+
30
6v + 30
6
v
+
30
\newline
(C)
30
v
+
6
30v + 6
30
v
+
6
\newline
(D)
30
v
30v
30
v
Distribute
6
6
6
to v and
5
5
5
:
Distribute the
6
6
6
to both
v
v
v
and
5
5
5
.
6
(
v
+
5
)
=
6
⋅
v
+
6
⋅
5
6(v + 5) = 6\cdot v + 6\cdot 5
6
(
v
+
5
)
=
6
⋅
v
+
6
⋅
5
Calculate the products:
Calculate the products.
\newline
6
⋅
v
=
6
v
6\cdot v = 6v
6
⋅
v
=
6
v
\newline
6
⋅
5
=
30
6\cdot 5 = 30
6
⋅
5
=
30
\newline
So,
6
(
v
+
5
)
=
6
v
+
30
6(v + 5) = 6v + 30
6
(
v
+
5
)
=
6
v
+
30
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