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Math 169 (Fifth Edition): Test for Chapter 5


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____________________ 1. Multiply:
____________________ 2. Multiply:
____________________ 3. Multiply:
____________________ 4. Multiply:
____________________ 5. Multiply:
____________________ 6. Multiply:
____________________ 7. Multiply:
____________________ 8. Multiply:

____________________ 9. Factor completely:
____________________ 10. Factor completely:
____________________ 11. Factor completely:
____________________ 12. Factor completely:
____________________ 13. Factor completely:
____________________ 14. Factor completely:
____________________ 15. Factor completely:
____________________ 16. Factor completely:

____________________ 17. Find the middle term (m) for which is a perfect square trinomial.
____________________ 18. Find the value of the third term (k) for which is a perfect square trinomial.
____________________ 19. Convert the binomial to a perfect square trinomial by adding the proper constant. Then factor the resulting trinomial into the square of a binomial. Write your answer in the form:   (x+a)2.
For the following problems, express your answer as a rational number or as an approximation rounded to four decimal places.
____________________ 20. Solve by factoring:
____________________ 21. Solve by factoring:
____________________ 22. Solve by factoring:
____________________ 23. Solve by factoring:
____________________ 24. Solve by factoring:
____________________ 25. Solve by factoring:

____________________ 26. Solve:
____________________ 27. Solve:
____________________ 28. Solve:

____________________ 29. Find the value of the discriminant for
____________________ 30. Based on the value of the discriminant for
how many different, real, solutions are there for the equation?
____________________ 31. Find the value of the discriminant for
____________________ 32. Based on the value of the discriminant for
how many different, real, solutions are there for the equation?
____________________ 33. Find the value of the discriminant for
____________________ 34. Based on the value of the discriminant for
how many different, real, solutions are there for the equation?

____________________ 35. Solve and express the answer in set-builder notation.
____________________ 36. Solve and express the answer in set-builder notation.
____________________ 37. Solve and express the answer in set-builder notation.
____________________ 38. Solve and express the answer in interval notation.
____________________ 39. Solve and express the answer in interval notation.
____________________ 40. Solve and express the answer in interval notation.

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©Roger M. Palay
Saline, MI 48176
October, 1999