Rational Expressions
Today's Schedule:
•Pick up materials/Grade Homework  Effort Points
•Complex Rational Expressions
•Solving Rational Equations
Slates!
Simplify.  Solve by factoring. 
Complex Rational Expressions
Definition: a rational expression that contains
rational expressions within its numerator and/or
denominator is called a complex rational
expression.
Building Blocks
1. Different ways to write division
2. Negative Exponents
Steps
1) Simplify Numerator
2) Simplify Denominator
3) Rewrite Division
4) KFC
Example 1: Simplify:  Steps: 1) Simplify Numerator 2) Simplify Denominator 3) Rewrite Division 4) KFC 
Example 1: Simplify:  Steps: 1) Simplify Numerator 2) Simplify Denominator 3) Rewrite Division 4) KFC 
1) Simplify Numerator  
2) Simplify Denominator  
3) Rewrite Division 4) KFC 

Example 2: Simplify:  Steps: 1) Simplify Numerator 2) Simplify Denominator 3) Rewrite Division 4) KFC 
Practice  Steps: 1) Simplify Numerator 2) Simplify Denominator 3) Rewrite Division 4) KFC 
Answer:  
Answer:1  
Solving Rational Equations
Steps:
1) Clear the fractions!
Multiply everything by LCD
*Simplify!
2) Solve
3) Check
Example 1: Solve.  Steps: 1) Clear the fractions! Multiply everything by LCD 2) Solve 3) Check 
Example 2: Solve.  Steps: 1) Clear the fractions! Multiply everything by LCD 2) Solve 3) Check 
Example 3: Solve.  Steps: 1) Clear the fractions! Multiply everything by LCD 2) Solve 3) Check 
LCD:(t4)(t+3)  


Example 4: Solve.  Steps: 1) Clear the fractions! Multiply everything by LCD 2) Solve 3) Check 
Practice: 

That's it for today!  
Homework Help Resources:  The
Math Center Interact Math Algebasics: Factoring If time,Study for Exam 2 
Homework: •Practice problems from this lesson MathXL #15 •Reflect on what you have learned • Prepare for next class' lesson 