Question

1. For each expression, use the distributive property to write an equivalent expression.

a. 4(x + 2)
C. 4(2x + 3)
d. 6(x + y + z)
b. (6 + 8). x

Answer 1

a. 4x+8

c. 8x+12

d. 6x+6y+6z

b. 6x+8x

Explanation:

The distributive property means that the term on the outside of the parentheses can be multiplied by each term on the inside. Take question C for example. You have to multiply 4 by 2x to get 8x, but also multiply 4 by 3 to get 12. These two terms are then connected by the addition as seen within the parentheses, which gives you 8x+12.