Question

use the hanger balance to model and solve the equation 3(g + 1) = 9. now use the distributive property to rewrite the equation without parentheses. 3(g + 1) = 9 \square g + \square ? = 9

Explanation:

Step1: Apply Distributive Property

The distributive property states that \( a(b + c) = ab + ac \). For the equation \( 3(g + 1) = 9 \), we distribute the 3 to both \( g \) and 1. So, \( 3 \times g + 3 \times 1 = 9 \).

Step2: Simplify the Terms

Calculating the products, we get \( 3g + 3 = 9 \). So the first blank (coefficient of \( g \)) is 3, and the second blank (constant term) is 3.

Answer:

The first box is \( 3 \) and the second box is \( 3 \), so the equation becomes \( 3g + 3 = 9 \).