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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 $38 f + 45$

Steps

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

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

Step 3 ：The equivalent expression is $38 f + 45$