### R.7 Rational Expressions

1: Simplifying Rational Expressions

This video covers:

*What is a Rational Expression and how the prefix 'Ratio' helps identify them

*How reviewing the methods of R.1 Fractions Video #1 will help with this section

*How you can and cannot simplify rational expressions following legitimate mathematical rules

*How your best friend, R.6 Factoring, plays a huge emphasis on all Rational Expression methods

*How to change things from addition/subtraction format to multiplication format so you can cancel

*The two steps to simplify rational expressions

Examples:

2: Multiplying Rational Expressions

This video covers:

*The three steps of multiplying rational expressions, and how they build upon simplifying rational expressions

*How your best friend, R.6 Factoring, plays a huge emphasis on all Rational Expression methods

Examples:

3: Dividing Rational Expressions

This video covers:

*The four steps of dividing rational expressions, and how they build upon simplifying and multiplying rational expressions

*How your best friend, R.6 Factoring, plays a huge emphasis on all Rational Expression methods

*Review of the vocabulary word: Reciprocal

*How you can write negative fractions

*Review of all the steps of Simplifying, Multiplying, and Dividing Rational Expressions

Examples:

4: Adding and Subtracting Rational Expressions (Part 1)

This video covers:

*The steps to adding and subtracting fractions, which are the same as R.1 Fractions Video #2, find the LCD, Least Common Denominator!

*Review of the "Kids in the Candy Store" to help find the LCD- Least Common Denominator

*Review of how you cannot simplify rational expressions by canceling terms when they are added or subtracted.

Examples:

5: Adding and Subtracting Rational Expressions (Part 2)

This video covers:

*An extension of Part 1 video, working through all the steps to simplify the example below.

*How to distribute the negative to subtraction Polynomial Rational Expressions

Examples:

6: Complex Rational Expressions

This video covers:

*Review of the two methods to simplify complex fractions introduced in R.1 Fractions Video #3

*Review of Method 1, where the goal is 1 fraction divided by 1 fraction

*Review of Method 2, the Magic Trick Method

Examples: