1. Review 4.6-4.7

2. Solve each equation or inequality 1.1. 2.2. b = 2, -5 Multiply every term by 12

3. Solve each equation or inequality 3.3. 4.4. w = 2/5, -1 USE QUADRATIC FORMULA What values go on your number lines?? 2/5, -1, 0, and 1

4. Example: Solve. LCM: 2x Multiply each fraction through by the LCM Check your solution!

5. Solve. LCM: ? LCM: (x+1) Check your solution! ? No Solution!

6. Solve. Factor 1 st ! LCM: (x+2)(x-2) Check your solutions!

7. Example: Solve. Check your solutions!

8. Last Example: Solve. Check your solutions!

9. SolveCheck your solution. The LCD for the three denominators is Original equation Multiply each side by 24(3 – x).

10. 1 1 11 1 6 Simplify. Add.

11. Check Original equation Simplify. The solution is correct.

12. Example 6-1e Answer: Solve

13. SolveCheck your solution. The LCD is Original equation Multiply by the LCD, (p 2 – 1). p – 1 1 1 1

14. Distributive Property Simplify. Add (2p 2 – 2p + 1) to each side.

15. Example 6-2c Factor. or Zero Product Property Solve each equation. Divide each side by 3.

16. Example 6-2d Check Original equation Simplify.

17. Since p = –1 results in a zero in the denominator, eliminate –1. Answer: The solution is p = 2. Example 6-2e Simplify. Original equation

18. Answer: Solve

19. Decompose this into partial fractions 5.5.

20. Solve Step 1Values that make the denominator equal to 0 are excluded from the denominator. For this inequality the excluded value is 0. Step 2Solve the related equation. Related equation

21. Multiply each side by 9s. Simplify. Add. Divide each side by 6.

22. Step 3Draw vertical lines at the excluded value and at the solution to separate the number line into regions. Now test a sample value in each region to determine if the values in the region satisfy the inequality.

23. Test is a solution.

24. Example 6-5e is not a solution. Test

25. Example 6-5f is a solution. Test

26. Answer: The solution

27. Example 6-5h Solve Answer:

28. Solve each equation or inequality 6.6. 7.7. x = 7 No real solution

29. Solve each equation or inequality 8.8. 9.9. k = 7 m = -13

30. Solve each equation or inequality 10. t > 14

31. 11.) Find the upper and lower bound of the zeros of: Upper = 4 Lower = -1

32. Approximate the real zeros of each functions to the nearest tenth. 12. 13. x = 1.2 x = -0.9, 2.8

33. Approximate the real zeros of each functions 14. 15. x = -4.4, -0.9, 1.3No real zeros

34. 16.) Find the number of positive, negative, and imaginary: Pos. 2 or 0 Neg. 1

35. 17.) Find the possible rational roots:

36. Find the remainder of each division. Then state whether the binomial is a factor? 18. 19. Remainder = 55 Not a factor Remainder = 18 Not a factor

37. 20.) Use synthetic division to divide:

38. Graph each equation or inequality: 21. 22.

39. Solve each equation or inequality 23. 24.

40. Solve each equation by completing the square: 25. 26.

41. 27.) Find the discriminant of the function given and describe the nature of the roots. Discriminant = 73 2 distinct real roots

42. Write the polynomial equation of least degree have the roots: 28. ) 1, -1, 0.5

43. Find the roots of each equation: 29. 30.