1. Chapter 8
Rational Expressions

2. Sect. 8.1 Simplifying Rational Expressions

3. Find the Value(s) of the Variable that Make a Rational Expression Equal Zero and that Make a Rational Expression Undefined
Ex. 2 For the rational expression, for what value(s) of the variable (i)does the expression equal zero? (ii) is the expression undefined?

4. Write a Rational Expression in Lowest Terms

5. Examples of Writing a Rational Expression in Lowest Terms

6. Simplify a Rational Expression of the Form

7. Write Equivalent Forms of a Rational Expression

8. Define a Rational Function and Find the Domain
Ex. 6 Determine the domain of f(x) below.

9. Sect. 8.2 Multiplying and Dividing Rational Expressions

10. Multiply Rational Expressions

11. Divide Rational Expressions

12. Divide Rational Expressions cont.

13. Division Problems with Rational Expressions

14. Find the Least Common Denominator for a Group of Rational Expressions
Ex. 1 Find the LCD of each pair:

15. More Examples of Finding the LCD

16. Finding the LCD when the denominators are opposites
Ex. 3

17. For a Group of Fractions, Rewrite Each as an Equivalent Fraction with the LCD as its Denominator
Ex. 4

18. Ex. 5
For a Group of Rational Expressions, Rewrite Each as an Equivalent Expression With the LCD as Its Denominator

19. For a Group of Rational Expressions, Rewrite Each as an Equivalent Expression With the LCD as Its Denominator cont.

20. Sect. 8.4 Adding and Subtracting Rational Expressions

21. Another Example of Adding and Subtracting with a Common Denominator

22. Add or Subtract Rational Expressions with Different Denominators

23. Add or Subtract Rational Expressions with Different Denominators continued

24. Another Example of Subtracting Rational Expressions with Different Denominators

25. Add and Subtract Rational Expressions with Denominators Containing Factors of the Form a - b and b - a
Ex. 5

26. Add and Subtract Rational Expressions with Denominators Containing Factors of the Form a - b and b - a continued

27. Ex. 1
Mid-Chapter Summary
Ex. 2
A = 9 or a = -9

28. More Review Examples
Ex. 3

29. More Review Examples
Ex. 4

30. Sect. 8.5 Simplifying Complex Fractions

31. Ex. 2
Simplify a Complex Fraction that has More Than One Term in the Numerator and/or Denominator by Rewriting It as a Division Problem

32. Simplify a Complex Fraction that has More Than One Term in the Numerator and/or Denominator by Rewriting It as a Division Problem

33. Ex. 3
Simplify a Complex Fraction That Has More than One Term in the Numerator and/or Denominator by Multiplying by the LCD

34. Sect. 8.6 Solving Rational Equations
Ex. 1 Rational Expression vs. Rational Equation

35. Rational Expression vs. Rational Equation continued

36. Solve Rational Equations
Ex. 2

37. Another Example of Solving Rational Equations

38. Another Example of Solving Rational Equations

39. Example 4 continued

40. Solve a Proportion
Ex. 5
The answer checks.

41. Solve an Equation for a Specific Variable
Ex. 6

42. Another Example of Solving an Equation for a Specific Variable

43. Sect. 8.7 Applications of Equations Containing Rational Expressions
Problems Involving Proportion
Sect Applications of Equations Containing Rational Expressions
X+ 126 = 168

44. Problems Involving Distance, Rate and Time

45. Rate, Time, Distance Problem continued

46. Rate, Time, Distance Problem continued

47. Solve Problems Involving Work

48. Work Problem continued