### Home > CC2MN > Chapter 7 > Lesson 7.1.2 > Problem 7-20

7-20.

Write the following expressions in two ways, one with parentheses and one without. For example,

A number reduced by

, then multiplied by . Reducing by

means you first need to subtract from a number. Call the unknown number .

Then you will multiply that value by. A number reduced by

: Then multiplied by

: Use the Distributive Property to multiply every term inside the parentheses by

. A number increased by

, then multiplied by . See part (a).

Ten times a number, then add twenty.

Ten times a number is

.

Then add twenty to that to get:Since

is a factor of both terms, you can factor out a to get the following expression: Check your answer by using the Distributive Property.