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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:
Simplifying Rational Expression 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:
Multiplying Rational Expression 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:
Dividing Rational Expression 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:
Adding and Subtracting Rational Expression 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:
Adding and Subtracting Rational Expression 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:
Complex Fraction Examples