Question

Evaluate 7w - 14 when w =8

Show two ways to find the same value of the expression and make sure that one way uses distributive property.

Answer 1

The value for 7w - 14 when w =8 is 42.

Explanation:

First method is directly substituting the value:

Equation: 7w - 14 , for w= 8,

= 7w - 14 = 7*8 - 14 = 42.

Using distributive property :

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Equation: 7w - 14

= 7(w-2) , for w=8,

= 7(8-2)

=7*8 - 7*2

=56 - 14

=42.