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Let’s check out your problem:
Which expression is equivalent to
4
(
h
+
6
)
4(h + 6)
4
(
h
+
6
)
?
\newline
Choices:
\newline
(A)
4
h
+
24
4h + 24
4
h
+
24
\newline
(B)
24
h
+
4
24h + 4
24
h
+
4
\newline
(C)
24
h
24h
24
h
\newline
(D)
10
h
10h
10
h
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Math Problems
Grade 7
Identify equivalent linear expressions I
Full solution
Q.
Which expression is equivalent to
4
(
h
+
6
)
4(h + 6)
4
(
h
+
6
)
?
\newline
Choices:
\newline
(A)
4
h
+
24
4h + 24
4
h
+
24
\newline
(B)
24
h
+
4
24h + 4
24
h
+
4
\newline
(C)
24
h
24h
24
h
\newline
(D)
10
h
10h
10
h
Distribute
4
4
4
:
Distribute the
4
4
4
across the terms inside the parentheses.
4
(
h
+
6
)
=
4
×
h
+
4
×
6
4(h + 6) = 4 \times h + 4 \times 6
4
(
h
+
6
)
=
4
×
h
+
4
×
6
Multiply numbers:
Multiply the numbers.
\newline
4
×
h
=
4
h
4 \times h = 4h
4
×
h
=
4
h
\newline
4
×
6
=
24
4 \times 6 = 24
4
×
6
=
24
\newline
So,
4
(
h
+
6
)
=
4
h
+
24
4(h + 6) = 4h + 24
4
(
h
+
6
)
=
4
h
+
24
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