1. Quote of the Day
Yes, we have to divide up our time like that, between our politics and our equations. But to me our equations are far more important, for politics are only a matter of present concern. A mathematical equation stands forever. -Albert Einstein

2. Simplify Rational Expressions
Section 12.4

3. Objectives:
Find excluded values
Simplify rational expressions

4. Key Vocabulary: Rational expression Excluded value
Simplest form of a rational expression

5. Example 1:
Find the excluded values, if any, of the expression. .

6. #1: Find the excluded values, if any, of the expression.

7. #2: Find the excluded values, if any, of the expression.

8. #3: Find the excluded values, if any, of the expression.

9. #4: Find the excluded values, if any, of the expression.

10. Simplest Form

11. Example 2:
Find the excluded values, if any, of the expression. .

12. #5: Simplify the rational expression, if possible
#5: Simplify the rational expression, if possible. State the excluded values.

13. #6: Simplify the rational expression, if possible
#6: Simplify the rational expression, if possible. State the excluded values.

14. #7: Simplify the rational expression, if possible
#7: Simplify the rational expression, if possible. State the excluded values.

15. #8: Simplify the rational expression, if possible
#8: Simplify the rational expression, if possible. State the excluded values.

16. Example 3:
Simplify. State the excluded values.

17. Example 4:
Simplify. State the excluded values.

18. #9: Simplify the rational expression. State the excluded values.

19. #10: Simplify the rational expression. State the excluded values.

20. #11: Simplify the rational expression. State the excluded values.

21. Example 5:
The average cost C(in dollars per minute) for cell phone service in the United States during the period can be modeled by where x is the number of years since Rewrite the model so that it has only whole number coefficients. Then simplify the model.

22. Partner Work
Page 797 #3, 4, 9, 12, 14, 24

23. Homework Assignment
Page 797 #6, 8, ,10, 16, 18, 20, 22, 26, 28, 30, 32,
40, 42, 44, 48, 50, 52, 54, 56, 58, 60