Home > CC1 > Chapter 8 > Lesson 8.1.2 > Problem8-28

8-28.

Rewrite each expression below using the Distributive Property. Then evaluate each expression for $x = 2$ and $y = 5$.

1. $8x-4$

What is a common factor of both terms?

Factor out a 4 from both terms.

$4(2x-1)$

Substitute in the known values.

$4(2(2)-1)$

Simplify.

$12$

1. $6y^2 + 24y$

Follow the steps in part (a).

$270$

1. $7x(y-2)$

Multiply what is in the parentheses by what lies on the outside.

$7xy-14x$

Substitute in the known values.

$7(2)(5)-14(2)$

$42$

1. $3(9 + y)$

Follow the steps in part (c).