Chapter 3.1, Problem 40E

To determine

To write: an equivalent variable expression of $8(4-7w)$ by using the distributive property.

Answer to Problem 40E

The equivalent variable expression of $8(4-7w)$ is $32-56w$ .

Explanation of Solution

Given information: Consider the question given to write an equivalent variable expression of the expression $8(4-7w)$ by using the distributive property.

Formula used: The formula used in the given question is $a(b+c)=ab+ac$ .

Calculation :

Two different variable expressions that have the same value for all the values of the variables are called an equivalent variable expression.

Evaluate the given question:

  $\begin{array}{l}8(4-7w)\\ \text{=8(4)}-8(7w)\text{ [Distributive property}\text{.]}\\ =32-56w\text{ [Multiply}\text{.]}\end{array}$

Hence, the equivalent variable expression of $8(4-7w)$ is $32-56w$ .