AFM FINAL EXAM - Mr. Scott McBride's Class



AFM FINAL EXAM REVIEW[pic]

(sample questions only!)

1.[pic]Express [pic] in logarithmic form.

2. Express in exponential form: [pic]

3. Evaluate: log4 64

4. Solve: [pic]

5. Solve: [pic]

6. Find the 25th term of the arithmetic sequence: 8, 11, 14, 17, …

7. Give the first four terms of the arithmetic sequence defined by [pic] and [pic].

8. Find n given the arithmetic sequence 19, 14, 9, …. and An = -41

9. For the following arithmetic sequence, find the 18th term of 1.4, 1.9, 2.4, ….

10. Find the three arithmetic means between 2 and 5.

11. Find the sum of the first 35 terms of the arithmetic sequence when A1 = 5 and d = 4

12. Find the sum of the series in which [pic] and A34 = 71.

13. Evaluate: [pic]

14. Find the sixth term of the geometric sequence: [pic]

15. Find the sixth term of the geometric sequence if A1 = 48 and r = -2.

16. Find the 8th term of the geometric sequence when A1 = 9 and r = 1/3.

17. Find the four geometric means between 128 and 4.

18. Find the sum of the first 5 terms of the geometric series: 1/3 + 2 + 12 + …

19. Find [pic] in a geometric series for which [pic] and r = -3.

20. Find the sum of the infinite geometric series, if it exists. [pic]

21. Find the sum of the infinite geometric series, if it exists. 20 – 2 + 1/5 - …..

22. Find the six trigonometric functions for the given triangle.

23. Find all the missing parts of the right triangle ABC.

Round to the nearest hundredth.

24. A ramp in a multistory car park is 48 feet long and rises 6 feet. Estimate the angle to the nearest tenth that the ramp makes with the horizontal.

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25. A person on an escalator travels 170 feet and rises 85 feet. What is the angle to the nearest tenth that the escalator makes with the ground?

26. Express [pic] in degrees.

27. Express 44° in radians.

28. Find the exact value for [pic]

29. Given triangle ABC with a = 14, A = 40°, B = 28° what is the measure of c?

30. Graph [pic]

31. Sate the amplitude, period, vertical and horizontal shift for: [pic]

32. Using the given data, make a stem and leaf plot, find the mean, IQR and any outliers. 47, 53, 57, 61, 65, 66, 71, 75, 76, 77, 78, 87, 88, 90

For questions 33-35, use the following information. On a normal curve, the mean on the Algebra 2 EOC is 54, with a standard deviation of 11.8.

33. What percent of the students are within 2 standard deviations of the mean?

34. If 120 students took the test, how many scored higher than 65.8?

35. What percent scored lower than 54?

36. Solve the quadratic equation by graphing: [pic]

37. Solve the quadratic equation by quadratic formula: [pic]

38. Write in vertex form: [pic]

39. Write in standard form: [pic]

40. State the vertex: [pic]

41. Find the roots: [pic]

42. Graph: [pic]

43. Graph: Suzy babysits for $6 an hour or any fraction thereof.

44. Graph the piecewise function: [pic]

45. Which equation is linear? [pic] or [pic]

46. A 9 member committee is selecting a president, vice-president, secretary and treasurer from the committee. No person can serve in two positions. In how many ways can the four positions be filled?

47. John is buying a sports car. He can buy red or black, convertible or hard-top, straight drive or automatic. How many possible models does he have to choose from?

48. How many possible ways can you choose 3 library books to check out from 8?

49. How many ways can you arrange 8 candles on top of the birthday cake?

50. How many ways can you arrange the letters of “Trigonometry”?

51. How many ways can Mrs. Smith’s preschool class of 12 students line-up to go outside and play?

52. How many groups of 5 students can be chosen from 25?

53. How many ways can you choose a group of 5 men and 7 women from 12 men and 13 women?

54. Suppose you select 3 letters from the word CLEMSON. What is the probability of selecting 2 vowels at the same time?

55. A bag contains 8 orange and 5 purple marbles. If a marble is chosen at random, what is the probability that it is NOT purple?

56. Billy breaks his piggy bank and finds 5 pennies, 8 nickels and 9 dimes. What is the probability that he will selection 1 dime and 1 nickel at the same time?

57. What is the probability that he will selection 2 pennies at the same time?

58. A die is thrown twice. What is the probability that a 4 is thrown, followed by a 6?

For questions 59-61, 12 playing cards (3 Aces, 4 Kings, 2 Queens, and 3 Jacks) and placed on the table, face down. If four cards are selected at random, find the probability of selecting the cards in order (one at a time).

59. P(Ace, Jack, King, King) no replacement.

60. P(Queen, King, Jack, Ace) with replacement.

61. P(Queen, Queen, Ace, any card other than Ace) no replacement.

62. If the principle of a loan is $4500 and the interest rate is 6.4% for a 4 year investment, what is the Simple Interest earned?

63. Using the compound Interest Formula, calculate how much you have if you invest $4000 at 6% for 20 years and it is compounded quarterly.

64. How much would you have if you invested the $4000 at 6% for 20 years if it is compounded continuously?

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