Lesson Overview:

 

• Solving rational equations

• Use Sign Diagram to solve rational inequalities

• Decomposition of fraction

 

Part A: Solving Rational Equations

This is a video teaching how to solve rational equations:

https://www.youtube.com/watch?v=6eqgIZyXgK8

 

Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Part B: Use Sign Diagram to solve rational inequalities

This video teaches how to use sign diagrams to solve rational inequalities:

https://www.youtube.com/watch?v=hgfxzBs4BMw&t=204s

 

Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Notes:

 

 

 

 

 

 

 

 

 

 

 

 

 

Part C: Decomposition of fraction

https://www.youtube.com/watch?v=cOJbqYO8MmU

Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

Additional Information:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

SAT Testing of Rational Expressions and Equations

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Real World Application of Rational Functions

 

 

 

 

 

 

 

 

Conclusion:

After this lesson the student should be able to solve rational function equations and inequalities. They should also be able to simply functions. These skills are all very important for SAT testing and application in the real world.