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Seventh grade \( > \) R.21 Identify equivalent linear expressions I DRB
Which expression is equivalent to \( 5(6 f+9)+8 f \) ?
\[
14 f+45
\]
\[
38 f+9
\]
\[
45 f+38
\]
\[
38 f+45
\]

Answer

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Answer

The equivalent expression is \( 38f + 45 \)

Steps

Step 1 ：Distribute the 5 through the parentheses: \( 5(6f + 9) \) = \( 30f + 45 \)

Step 2 ：Add the 8f: \( (30f + 45) + 8f = 38f + 45 \)

Step 3 ：The equivalent expression is \( 38f + 45 \)