Use the distributive property to write an equivalent expression.

Question

5, left parenthesis, w, minus, 2, x, plus, 9, right parenthesis
5(w−2x+9)

Answer 1

To use the distributive property on the expression \( 5(w - 2x + 9) \), you will multiply each term inside the parentheses by 5.

Here are the steps:

1. Distribute \( 5 \) to each term in the parentheses: \[ 5 \cdot w + 5 \cdot (-2x) + 5 \cdot 9 \]

2. Calculate each multiplication: \[ 5w - 10x + 45 \]

Thus, the equivalent expression is: \[ 5w - 10x + 45 \]