Question

4. Which expression is equivalent to the given expression? 1 (6x + 9) - 2 x ma

Answer 1

we have the expression

$-\frac{1}{2}(6x+9)-(x-\frac{3}{2})$

step 1

Apply distributive property first term

$\begin{gathered} -\frac{1}{2}(6x)-\frac{1}{2}(9)-(x-\frac{3}{2}) \\ -3x-\frac{9}{2}-(x-\frac{3}{2}) \end{gathered}$

step 2

Remove the parenthesis

$-3x-\frac{9}{2}-x+\frac{3}{2}$

step 3

Combine like terms

$\begin{gathered} -4x-\frac{6}{2} \\ -4x-3 \end{gathered}$