Rational Expressions
Today's Schedule:
•Pick up materials/Grade Homework - Effort Points
•Complex Rational Expressions
•Solving Rational Equations
Slates!
![]() |
![]() |
![]() |
![]() |
![]() |
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: | ![]() ![]() ![]() ![]() |
Homework: •Practice problems from this lesson MathXL #15 •Reflect on what you have learned • Prepare for next class' lesson |