Question

use the hanger balance to model and solve the equation 3(g + 1) = 9. what does 3(g + 1) represent? ? groups of ?

Explanation:

Step1: Analyze the expression \( 3(g + 1) \)

In the context of a hanger balance (which models equality and operations), the coefficient 3 in front of the parentheses means we have 3 groups. The expression inside the parentheses, \( g + 1 \), is what each group consists of. So \( 3(g + 1) \) represents 3 groups of \( (g + 1) \).

Step2: Determine the number of groups and the group content

The first blank (for the number of groups) should be 3 because the coefficient is 3. The second blank (for what each group is) should be \( g + 1 \) as that's the expression being multiplied by 3.

Answer:

First blank: 3, Second blank: \( g + 1 \)