1. Bell Quiz

2. Objectives Simplify rational expressions. Find undefined or excluded values for rational expressions.

3. Rational Expressions Rational expressions are fractions with a variable in the denominator. Since division by 0 in mathematics is undefined, the denominator of a rational expression must not be equal 0.

4. Example 1 Determining When an Expression is Undefined Determine the values for which the rational expression is undefined. x + 8 4x4x

5. Lesson Practice Determine the values for which the rational expression is undefined. 16x – 7 5x5x

6. Example 2 Determining When an Expression is Undefined Determine the values for which the rational expression is undefined. 2x + 1 x – 4

7. Lesson Practice Determine the values for which the rational expression is undefined. 1 + 3x x + 8

8. Example 3 Determining When an Expression is Undefined Determine the values for which the rational expression is undefined. (x + 5)(x – 3) 3x + 21

9. Lesson Practice Determine the values for which the rational expression is undefined. 11 – x 6x – 42

10. Example 4 Simplifying Using a Common Factor Simplify the rational expression. Determine undefined values. 54x + 9 4 + x

11. Example 5 Simplifying Using a Common Factor Simplify the rational expression. Determine undefined values. 2x 2 – 10x 4x 2 + 6x

12. Lesson Practice Simplify the rational expression. Determine undefined values. 3x 2 – 3x 9x 2 + 15x

13. Example 6 Simplifying Using a Common Factor Simplify the rational expression. Determine undefined values. 2x 2 – 14x 4x – 28

14. Lesson Practice Simplify the rational expression. Determine undefined values. 4x + 28 3x 2 + 21x

15. Example 7 Application: Moving Objects The expression 3.5t + 0.7t 2 represents the distance a moving object travels through time t. The expression 1.4t 2 represents that distance the same object moves from rest with twice the acceleration.

16. Lesson Practice

17. Practice Problem 1

18. Practice Problem 2

19. Practice Problem 3

20. Practice Problem 4

21. Practice Problem 5

22. Practice Problem 6

23. Practice Problem 7

24. Practice Problem 8

25. Practice Problem 9

26. Practice Problem 10

27. Practice Problem 11

28. Practice Problem 12

29. Practice Problem 13

30. Practice Problem 14

31. Practice Problem 15