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Let’s check out your problem:
Which expression is equivalent to the expression below?
\newline
3
(
9
k
)
+
5
k
3(9 k)+5 k
3
(
9
k
)
+
5
k
\newline
27
k
+
9
k
2
27 k+9 k^{2}
27
k
+
9
k
2
\newline
32
k
32 k
32
k
\newline
24
k
24 k
24
k
\newline
14
k
+
3
14 k+3
14
k
+
3
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Math Problems
Algebra 1
Simplify variable expressions involving like terms and the distributive property
Full solution
Q.
Which expression is equivalent to the expression below?
\newline
3
(
9
k
)
+
5
k
3(9 k)+5 k
3
(
9
k
)
+
5
k
\newline
27
k
+
9
k
2
27 k+9 k^{2}
27
k
+
9
k
2
\newline
32
k
32 k
32
k
\newline
24
k
24 k
24
k
\newline
14
k
+
3
14 k+3
14
k
+
3
Distribute
3
3
3
:
Distribute the
3
3
3
across the terms inside the parentheses in the expression
3
(
9
k
)
+
5
k
3(9k) + 5k
3
(
9
k
)
+
5
k
.
Calculation:
3
×
9
k
=
27
k
3 \times 9k = 27k
3
×
9
k
=
27
k
So,
3
(
9
k
)
+
5
k
3(9k) + 5k
3
(
9
k
)
+
5
k
becomes
27
k
+
5
k
27k + 5k
27
k
+
5
k
.
Combine like terms:
Combine like terms in
27
k
+
5
k
27k + 5k
27
k
+
5
k
.
\newline
Calculation:
27
k
+
5
k
=
32
k
27k + 5k = 32k
27
k
+
5
k
=
32
k
Compare with options:
Compare the result with the given options.
\newline
The expression
32
k
32k
32
k
matches one of the given options, which is "
32
k
32 k
32
k
".
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\newline
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\newline
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