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
□g +? = 9

Explanation:

Step1: Apply Distributive Property

The distributive property states that \(a(b + c)=ab+ac\). For \(3(g + 1)\), we multiply 3 by \(g\) and 3 by 1. So, \(3\times g+3\times1\).

Step2: Simplify the Terms

\(3\times g = 3g\) and \(3\times1=3\). So the equation becomes \(3g + 3=9\).

Answer:

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