Question
Simplify the following expression by combining like terms. Select the most simplified expression: 4(5m+3)+2m
A
20m+6+2m20m+6+2m20m+6+2m
B
22m+622m+622m+6
C
20m+12+2m20m+12+2m20m+12+2m
D
22m+1222m+1222m+12
A
20m+6+2m20m+6+2m20m+6+2m
B
22m+622m+622m+6
C
20m+12+2m20m+12+2m20m+12+2m
D
22m+1222m+1222m+12
Answers
Answered by
GPT-4o mini
To simplify the expression \( 4(5m + 3) + 2m \), we will first distribute the \( 4 \) across the terms inside the parentheses:
\[
4(5m) + 4(3) + 2m = 20m + 12 + 2m
\]
Next, we combine the like terms \( 20m \) and \( 2m \):
\[
20m + 2m + 12 = 22m + 12
\]
Thus, the most simplified expression is:
\[
22m + 12
\]
Looking at the options provided, the correct answer is:
**D** \( 22m + 12 \)
\[
4(5m) + 4(3) + 2m = 20m + 12 + 2m
\]
Next, we combine the like terms \( 20m \) and \( 2m \):
\[
20m + 2m + 12 = 22m + 12
\]
Thus, the most simplified expression is:
\[
22m + 12
\]
Looking at the options provided, the correct answer is:
**D** \( 22m + 12 \)
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