Question

Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. The first step to solving this problem algebraically is to write an equation: 3(x+x−3)=75
, where x
represents the cost of an adult ticket. Identify the next step, which would simplify the equation before solving for the variable. (1 point)
Responses

Add 3 to 75
Add 3 to 75

Divide 75 by 3.
Divide 75 by 3.

Distribute values over the variables.
Distribute values over the variables.

Combine like terms in parentheses.

Answer 1

The correct next step to simplify the equation \( 3(x + (x - 3)) = 75 \) is to **distribute values over the variables**.

This means you will multiply the 3 by both \( x \) and \( (x - 3) \) inside the parentheses, leading to the next step in solving the equation.

So the response is **Distribute values over the variables.**