QuestionFind expressions equivalent to $2(s+9)$ . Options: $2s+18$ , $(s+9)2$ , $18s+2$ , $11s$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(s+9)$ . We are asked to find the expressions that are equivalent to the given expression

STEP 2

First, we need to simplify the given expression by applying the distributive property of multiplication over addition. The distributive property states that $a(b + c) = ab + ac$ .
$2(s+9) =2s +2*9$

STEP 3

Calculate the product of $2$ and $9$ .
$2(s+9) =2s +18$

STEP 4

Now, we compare the simplified expression $2s +18$ with the given options.
Option1 $2s +18$ is equivalent to the simplified expression.
Option2 $(s+9)2$ is equivalent to the given expression $2(s+9)$ , because multiplication is commutative, i.e., $ab = ba$ .
Option3 $18s +2$ is not equivalent to the simplified expression, because the coefficients of $s$ and the constant term are not the same.
Option4 $11s$ is not equivalent to the simplified expression, because it lacks the constant term $18$ .
Therefore, the expressions equivalent to $2(s+9)$ are $2s +18$ and $(s+9)2$ .

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