Algebra II CP



Algebra II CP Name: _________________________

6.1 – 6.3 Quiz Review

You may use ONLY a Scientific Calculator ( THIS MEANS FIND ONE FOR THE QUIZ!

Evaluate the following expressions. All work must be shown to receive full credit!

1. [pic] 2. [pic] 3. [pic][pic]

4. 4[pic] 5. 16[pic] 6. [pic]

7. [pic] 8. [pic] 9. [pic]

Simplify the following expressions. No radicals in the denominator or negative exponents!

10. [pic] 11. [pic] 12. [pic]

13. [pic] [pic] 14. [pic] 15. [pic]

16. [pic] 17. [pic][pic] 18. [pic]

Solve the following equations. Round answers to nearest tenth when necessary.

19. x3 = 125 20. 5x3 = 1080 21. x6 - 4 = 60

22. (x – 2)4 = 16 23. (x + 10)3 = 27 24. 3x4 = 61

Simplify the following expressions. You must show work to receive full credit.

25. [pic] 26. [pic] 27. [pic]

28. [pic] 29. [pic] 30. [pic]

31. [pic] 32. [pic] 33. [pic]

Let [pic]. Perform the indicated operation and state the domain. Leave all answers in RADICAL form.

34. Domain of f(x):___________________ 35. Domain of g(x):______________

36. f(x) + g(x) 37. f(x) – g(x) 38. f(x) + f(x)

36.___________________ 37.___________________ 38.__________________

Domain:__________ Domain:__________ Domain:_________

Let [pic]. Perform the indicated operation and state the domain. Leave all answers in RADICAL form.

39. Domain of f(x):___________________ 40. Domain of g(x):______________

41. [pic] 42. [pic] 43. [pic]

41.___________________ 42.___________________ 43.__________________

Domain:__________ Domain:__________ Domain:_________

Let [pic]. Perform the indicated operation and, for #50-55, state the domain.

DOMAINS of original functions:

44. f(x):________________ 45. g(x):______________ 46. h(x):________________

47. f(g(2)) 48. g(h(7)) 49. h(f(6))

47.___________________ 48.___________________ 49.__________________

50. f(g(x)) 51. f(h(x)) 52. g(h(x))

50.___________________ 51.___________________ 52.__________________

Domain:__________ Domain:__________ Domain:_________

53. g(f(x)) 54. h(f(x)) 55. h(g(x))

53.___________________ 54.___________________ 55.__________________

Domain:__________ Domain:__________ Domain:_________

Algebra 2 CP Answer Key

Review for Quiz 6.1-6.3

1. 2 2. [pic] 3. 32 4. [pic] 5. [pic] 6. -5

7. [pic] 8. [pic] 9. [pic] 10. a 11. [pic] 12. [pic]

13. [pic] 14. [pic] 15. [pic] 16. [pic] 17. [pic] 18. [pic]

19. 5 20. 6 21. [pic] 22. 0 or 4 23. -7 24. [pic]

25. -42 26. [pic] 27. [pic] 28. [pic] 29. [pic]

30. [pic] 31. [pic] 32. [pic] 33. [pic] 34. [pic]

35. [pic] 36. [pic]; domain: [pic] 37. [pic]; domain: [pic]

38. [pic]; domain: [pic] 39. domain: [pic] 40. domain: [pic]

41. [pic]; domain: [pic] 42. [pic]; domain: [pic]

43. [pic]; domain: [pic] 44. [pic]U [pic] 45. [pic] 46. [pic]

47. [pic] 48. 2 49. [pic] 50. [pic]; domain: [pic]

51. [pic]; domain: [pic]U [pic] 52. [pic]; domain: [pic]

53. [pic]; domain: [pic]U [pic] 54. [pic]; domain: [pic]U [pic]

55. [pic]; domain: [pic]

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