Answer Key -4 -2 0 - bths.edu

1 X-4 -2 0 2 4-5-10-15 CEditionCore ommon nswer Key ATopical Review Book CompanyStandardslgebraA 2 CORRECTION NOTICEP lease be advised of the following typographical error in the algebra 2 Workbook - common core Edition. Please accept our apologies for these errors. We, at Topical Review Book Company, strive in providing you with a quality product at an affordable 5 Question #12: Please notice the circled area. If p(x) = 2x3 + cx2 5x 6 and x + 2 is a factor of p(x), find the value of c. (1) 5 (2) 2 (3) 0 (4) 2 The + sign should be a sign as shown below. If p(x) = 2x3 + cx2 5x 6 and x 2 is a factor of p(x), find the value of c. (1) 5 (2) 2 (3) 0 (4) 2 TEST 1 Part I1.

2 1 5. 2 9. 1 13. 3 17. 4 21. 22. 1 6. 2 10. 3 14. 1 18. 1 22. 43. 1 7. 1 11. 2 15. 3 19. 4 23. 24. 2 8. 4 12. 4 16. 3 20. 4 24. 3 For parts II, III, and IV, answers may vary, partial credit should be given for answers that include, but not limited to, the following; - correct Answer , but no work shown - incorrect Answer , but rest of work is appropriate - appropriate work is shown, but one computational or rounding error is madePart II25. $151926. 6 seconds 16t2 + 64t + 192 = 0 t2 4t 12 = 0 (t 6)(t + 2) = 0 t = 6 or t = 2 t cannot equal 2 because a negative time is not possible. 6 seconds after it is thrown, the water balloon will hit the ground.

3 27. The point (5, 50) is well below the exponential curve. The rest of the points form an exponential curve, but this outlier impacts the The domain is [0, 500] or {n| 0 n 500} The range is [0, 1875] or {c| 0 c 1875}29. Answers may vary. This would decrease the chance that there is a significant difference between the two groups. The larger standard deviation means the scores in the experimental group are more variable. Therefore it is more likely that the difference could have been due to Simplest radical form: 5 + 5 by 5 by 5 1 Nearest hundredth: by by a) Decay. The base is less than 1. b) A0, the starting amount is 280.

4 Kira borrowed $280 from her grandmother. c) 1 = The percent change is 12%. Kira pays 12% of the loan back to her grandmother each year. 32. x = 72 Answers will vary. A correct explanation of each step in solving the equation. x y (actual) y (predicted) 0 5 6 1 10 10 2 21 19 3 38 34 4 85 62 5 50 113 6 302 208 Part III 33. y = (.49x ) + 73 degrees 1 degrees below the actual value in the table34. 1232, Answers vary. Example: -3 35. 63110 1110 48110 3739 36. x2 + 5x + 4 + +52x No, x + 2 is not a factor because there is a remainder of 5.

5 If x + 2 were a factor, then there would be a remainder of 0. Part IV37. The period is 12 months. The cycle of temperatures repeats every year. The midline is 50 degrees which is the middle value between the high and low temperatures during the year. The amplitude is 40 which means the temperature fluctuates 40 degrees from the midline value of 50 degrees.

6 Xy -1 B 1 53 10 20 Amplitude = 40 Period = 12 Midline (y = 50)yx= +40650cos 1009080706050403020100-10-20xyTEST 2 Part I1. 3 5. 2 9. 4 13. 2 17. 3 21. 42. 3 6. 4 10. 1 14. 1 18. 3 22. 13. 1 7. 1 11. 3 15. 1 19. 3 23. 34. 3 8. 1 12. 2 16. 1 20. 2 24. 3 For parts II, III, and IV, answers may vary, partial credit should be given for answers that include, but not limited to, the following; - correct Answer , but no work shown - incorrect Answer , but rest of work is appropriate - appropriate work is shown, but one computational or rounding error is madePart II25.

7 3( 5 2i) + 8i( 5 2i) distributive property 15 + 6i 40i 16i2 distributive property 15 + 6i 40i + 16 i2 = 1 15 + 16 + 6i 40i commutative property 31 34i 26. hxInxIn =()()112210122() or an equivalent answer27. y = 5000(.8)x28. Answers will vary. Correct explanation. Possible Answer : 34log 2 = 14(3 log 2) 34log 2 = 34log 2 29. Give the survey to every third person entering the building instead of a cluster of people at one location (the dance). Give the survey to at least 10% of the high school x-intercept is ( 2, 0) y-intercept is (0, 23) asymptotes x = 3 and x = 1 y = 0 31. The y-intercept is at (0, 4). There is no x-intercept. As x , y , and the graph is rising.

8 As x , y 3, and the graph is All values of k where k is greater than 9. When b2 4ac < 0, the roots of the equation are complex. ( 6)2 4(1)k < 0 36 4k < 0 4k < 36 k > 9 Part III 33. Average: .65 Standard Deviation: .07 Margin of Error: .65 + or .14 This result could have happened by chance. A sample proportion of .73 is within the confidence interval of .51 .79. 34. A(x) = 2x + 12 B(x) = + 16 8 rides Carnival A would have the lower cost for five rides.

9 Carnival A would cost $22 and Carnival B would cost $ for five rides. A(5) = 2(5) + 12 = 22 B(5) = (5) + 16 = 35. f(2) = 0 f(x) = (x 2)(x2 + 2x + 2) 1 + i and 1 i 36.

10 8, 15, 17 8171517164289225289122 + = + =2289289111== yx 5 4 3 2 1 1 2 3 4 5 6 Part IV 37. December May, June, July, and August No, explanations vary. Example: The function increases too rapidly over this domain. For example, the value of h(x) when x = 20 is 2,520. That would mean she made $252,000. It is doubtful that her profits would increase that much in the second 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Hundreds of DollarsMonthsJessica s ProfitsTEST 3 Part I1.