2. Rational Expressions Review Click Here to Begin

3. Definition… A ratio of two polynomial expressions such as is called a rational expression Learn More…

4. Simplifying Rational Expressions Factor the numerator and the denominator List the restrictions on the variable Divide common factors Example: Learn More… Try some Practice Problems…

5. Multiplying Rational Expressions Method 1: (Monomials) Multiply Numerators and Denominators, then simplify Method 2: Factor everything, then simplify, then multiply Example 1: Example 2: Try some Practice Problems… Learn More…

6. Dividing Rational Expressions Change division to multiplication by multiplying by the recipricol: Proceed with the problem as you would a multiplication problem. Example: Learn More…Try some Practice Problems…

7. Adding and Subtracting Rational Expressions Find the LCD of the denominators Convert fractions so they have common denominators Add/Subtract numerators while keeping common denominators Simplify the solution if possible Example: Try some Practice Problems…Learn More…

8. Complex Rational Expressions Method 1 : Complex fractions with division Example: Method 2: Complex fractions with addition/subtraction Example: Learn More…Try some Practice Problems…

9. Solving Rational Expression Equations Method 1: Simplify both sides of the equation and cross multiply Method 2: Find the LCD and multiply every term by the LCD (this gets rid of the fractions). Example: Try some Practice Problems…Learn More…

10. Graphing Rational Expressions Find the vertical asymptote(s) & holes by factoring the numerator and denominator. Find the horizontal asymptote(s) by finding the degree of the numerator and denominator. Example: Are you ready for your test? Try some Practice Problems… Bring it on! No, let’s start again.

11. Simplifying Rational Expressions Practice Problems Check your answers…See examples again… 1. 2. 3. Check your answers…

12. Simplifying Rational Expressions Practice Problems Answers Back to simplifying rational expressions… Move on to multiplying rational expressions… 1. 2. 3.

13. Multiplying Rational Expressions Practice Problems 1. 2. 3. Check your answers…See examples again…

14. Multiplying Rational Expressions Practice Problems Answers Back to multiplying rational expressions… Move on to dividing rational expressions… 1. 2. 3.

15. Dividing Rational Expressions Practice Problems Check your answers…See examples again… 1. 2. 3.

16. Dividing Rational Expressions Practice Problems Answers Back to dividing rational expressions… Move on to adding & subtracting rational expressions… 1. 2. 3.

17. Adding & Subtracting Rational Expressions Practice Problems Check your answers…See examples again… 1. 2. 3. 4.

18. Adding and Subtracting Rational Expressions Practice Problems Answers Move on to complex rational expressions… Back to adding & subtracting rational expressions… 1. 2. 3. 4.

19. Complex Rational Expressions Practice Problems Check your answers…See examples again… 1. 2. 3. 4.

20. Complex Rational Expressions Practice Problems Answers Back to complex rational expressions… Move on to solving rational expression equations… 1. 2. 3. 4.

21. Solving Rational Expression Equations Practice Problems Check your answers…See examples again… 1. 2. 3. 4.

22. Solving Rational Expression Equations Practice Problems Answers Move on to graphing rational expressions… Back to solving rational expressions equations… 1. 2. 3. 4.

23. Graphing Rational Expressions Practice Problems Check your answers…See examples again… 1. 2. 3. 4. Write the equations of the vertical and horizontal asymptotes, then graph.

24. Graphing Rational Expressions Practice Problems Answers Back to graphing rational expressions… I need more practice… 1. 2. 3.4. VA: x = 2 HA: y = 1 VA: x = - 4 & x = 2 HA: y = 0 VA: x = 2 HA: y = 1 VA: x = - 2 HA: y = 0 I’m going to get an A on my test!

25. Congratulations, you have successfully completed your Rational Expressions Review! Good Luck on your test! I changed my mind and want to review again…