Home > MC2 > Chapter 5 > Lesson 5.2.2 > Problem 5-56
5-56.
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. We will call this 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, we can factor out a to get the following expression: Check your answer by using the Distributive Property.