Question

use the distributive property to evaluate the expressions1. 5( y - 3)2. -4(-2x + 6)3. 1 over 2 (6a + 10)

Answer 1

The distributive property says that

$a(x+y)=ax+ay$

(1). Using the above fact, the expression 5(y -3) becomes

$5(5-y)=5(5)-5(y)$$\rightarrow\textcolor{#FF7968}{25-5y.}$

(2).

$-4(-2x+6)=-4(-2)x+6(-4)$$\textcolor{#FF7968}{8x-24}$

(3).

$\frac{1}{2}(6a+10)=\frac{1}{2}(6a)+\frac{1}{2}(10)$$\rightarrow\textcolor{#FF7968}{3a+5.}$