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 Depdendent Variable

 Number of equations to solve: 23456789
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 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

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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