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Let’s check out your problem:
Which expression is equivalent to
8
(
p
+
6
)
8(p + 6)
8
(
p
+
6
)
?
\newline
Choices:
\newline
(A)
8
p
+
48
8p + 48
8
p
+
48
\newline
(B)
14
p
14p
14
p
\newline
(C)
48
p
48p
48
p
\newline
(D)
48
p
+
8
48p + 8
48
p
+
8
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Math Problems
Grade 7
Identify equivalent linear expressions I
Full solution
Q.
Which expression is equivalent to
8
(
p
+
6
)
8(p + 6)
8
(
p
+
6
)
?
\newline
Choices:
\newline
(A)
8
p
+
48
8p + 48
8
p
+
48
\newline
(B)
14
p
14p
14
p
\newline
(C)
48
p
48p
48
p
\newline
(D)
48
p
+
8
48p + 8
48
p
+
8
Distribute
8
8
8
to terms:
Distribute the
8
8
8
to both terms inside the parentheses.
8
(
p
+
6
)
=
8
⋅
p
+
8
⋅
6
8(p + 6) = 8\cdot p + 8\cdot 6
8
(
p
+
6
)
=
8
⋅
p
+
8
⋅
6
Multiply
8
8
8
by
p
p
p
:
Multiply
8
8
8
by
p
p
p
.
8
×
p
=
8
p
8\times p = 8p
8
×
p
=
8
p
Multiply
8
8
8
by
6
6
6
:
Multiply
8
8
8
by
6
6
6
.
\newline
8
×
6
=
48
8 \times 6 = 48
8
×
6
=
48
Combine results:
Combine the results from Step
2
2
2
and Step
3
3
3
.
8
p
+
48
8p + 48
8
p
+
48
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