Question

Which shows two expressions that are equivalent?F 9(6 + x)9.6+9.xG x + (89)(x+8).9H 8.6 + x8. x = 6J6.x+36. (x+3)

Answer 1

We have to find which pair of expressions is equivalent.

F) EQUIVALENT. If we apply the distributive property to one expression, we get the other expression.

`9(6+x)=9\cdot6+9x`

G) NOT EQUIVALENT. The associative property can not be applied when we have addition and multiplication mixed.

`x+(8\cdot9)\\e(x+8)\cdot9`

H) NOT EQUIVALENT. The associative property can not be applied when we have addition and multiplication mixed.

`8\cdot6+x\\e8\cdot x+6`

J) NOT EQUIVALENT. The factoring is not done correctly.

`6\cdot x+3\\e6(x+3)`

Answer: the only pair of expressions that is equivalent is the one from point F.