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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:(t-4)(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