Question

Meredith is solving the equation 7x+3(x−2)=14. Her first step is shown as 7x+3x−6=14. Which property did Meredith apply as her first step?

(a) Associative Property
(b) Multiplication Property of Equality
(c) Addition Property of Equality
(d) Distributive Property

Answer 1

Meredith applied the Distributive Property as her first step.

Step-by-step explanation:

Meredith applied the Distributive Property as her first step. The Distributive Property states that you can distribute a number or variable to each term inside a set of parentheses. In this case, Meredith distributed the 3 to both the x and -2 inside the parentheses by multiplying, which resulted in 7x + 3x - 6 = 14.