2. DIRECT VARIATION In a DIRECT VARIATION, as one quantity increases, the other quantity increases. Equation of Direct Variation

3. DIRECT VARIATION To solve a problem using direct variation, we used proportions. If Martha can run 10 miles in 140 minutes, how long will it take her to run 26 miles.

4. INVERSE VARIATION In an INVERSE VARIATION, as one quantity increases, the other quantity decreases. EXAMPLES Rate of speed and time Pressure and Volume Electrical current and Resistance

5. INVERSE VARIATION In an INVERSE VARIATION, as one quantity increases, the other quantity decreases. Equations of Inverse Variation

6. INVERSE VARIATION y varies inversely as x. If y = 20 when x = 12, find y when x = 45. METHOD #1: Find Constant of Variation

7. INVERSE VARIATION y varies inversely as x. If y = 20 when x = 12, find y when x = 45. METHOD #1: Product Rule

8. INVERSE VARIATION FLASH CARDS y varies inversely as x. If y = 10 when x = 6, find y when x = 12. x is twice as large, so….? y = 5

9. INVERSE VARIATION FLASH CARDS y varies inversely as x. If y = 8 when x = 20, find y when x = 10. x is half as large, so….? y = 16

10. INVERSE VARIATION FLASH CARDS y varies inversely as x. If y = 12 when x = 18, find y when x = 15. Calculators? Nearest tenth! y = 14.4

11. INVERSE VARIATION FLASH CARDS y varies inversely as x. If y = 13 when x = 31, find y when x = 14. Calculators? Nearest tenth! y = 28.8

12. RATIONAL EXPRESSIONS A ratio of two polynomial expressions is called a RATIONAL EXPRESSION. EXAMPLES

13. RATIONAL EXPRESSIONS To simplify a rational expression, divide the numerator and denominator by their GCF. You might call it “cancelling” or “reducing”

14. RATIONAL EXPRESSIONS To simplify a rational expression, divide the numerator and denominator by their GCF. Excluded Values?

15. RATIONAL EXPRESSIONS EXCLUDED VALUES are values of x that make the expression undefined… …in other words, turns the denominator equal to zero… …and division by zero is undefined.

16. RATIONAL EXPRESSIONS State the excluded values for: Set denominator equal to zero and solve

17. RATIONAL EXPRESSIONS State the excluded values for: Set denominator equal to zero and solve

18. RATIONAL EXPRESSIONS State the excluded values for: Set denominator equal to zero and solve

19. RATIONAL EXPRESSIONS Simplify each expression and state the excluded values

20. RATIONAL EXPRESSIONS Simplify each expression and state the excluded values

21. RATIONAL EXPRESSIONS TRY THIS ONE

22. RATIONAL EXPRESSIONS MORE PRACTICE

23. RATIONAL EXPRESSIONS MORE PRACTICE

24. RATIONAL EXPRESSIONS MORE PRACTICE