COLLEGE LEVEL MATHEMATICS PRETEST

1 COLLEGE LEVEL MATHEMATICS PRETEST This PRETEST is designed to give you the opportunity to practice the types of problems that appear on the COLLEGE - LEVEL MATHEMATICS placement test. An answer key is provided so that you may check your answers. The questions consist of algebra and trigonometry problems. The Accuplacer Test is an adaptive test. Depending on your answers to each question, you may find that you will be tested on some or all of the material in this packet. The MATHEMATICS placement testing includes elementary algebra to start. If you score a 76 or higher on elementary algebra questions, Accuplacer will automatically continue into COLLEGE - LEVEL MATHEMATICS questions. Once you begin answering these questions, your placement is based on your score in this portion of the exam.

2 NO Start Accuplacer Elementary Algebra Score 76 or higher in elementary algebra? Placement into MAT033 or MAT037 based on score. YES Begin COLLEGE LEVEL Math Portion of Accuplacer. Placement based on COLLEGE LEVEL Math Placement Test score. COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 2 1. 2 (3) (1)(2)x xxx a. 272xx . b. 252xx . c. 2372xx . d. 2352xx . e. 2352xx . 2. 722xxx a. 72xx . b. 72xx . c. 229144xxx . d. 229144xxx . e. 74x . 3. 32x= a. 23x. b. 3x . c. 32x. d. 6x . e. 6x. 4. 21425xxy a. 32125xy. b. 52110xy. c. 5225xy.

3 D. 3210xy. e. 52125xy. COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 3 5. 12(64) = a. 8. b. 4 . c. 18 . d. 18. e. 14. 6. If3x a b , then x a. 3ba . b. 3ab . c. 33ba . d. 33ab . e. 3ba . 7. 2211xyyx a. ()xy x y . b. 1()xy x y . c. 331()xy . d. yx . e. 1xy . 8. 271x is equivalent to which of the following? a. 3x b. 3x c. 34x d. 43x e. 03x 9. 2134aa a. 16a. b. 27a . c. 1112a. d. 14a. e. 37a. COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 4 10. In the figure below, if the length of AB is 10, find the length of AD. a. 3118 b. 3114 c. 12 d. 1124 e. 1122 11. One solution of the equation 272 0xx is a. 7412 . b.

4 7412 . c. 7572 . d. 7412 . e. 7572 . 12. What is the slope of the line shown? You may assume that each tick mark represents one unit. a. 2 b. 12 c. 1 d. 2 e. 12 8 10 A 10 C E B D x y COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 5 13. If( ) 42f xx , then (1)fx = a. 2462xx . b. 2422xx . c. 42x . d. 46x . e. 41x . 14. The graph of which of the following equations is a line parallel to the graph of 58xy ? a. 58xy b. 58xy c. 2108xy d. 2108xy e. 1028xy 15. If 82xzx , then x a. 812z . b. 821z . c. 82z.

5 D. 82z . e. 21z . 16. If x ba , then x a. 2ab . b. ab . c. 2ab . d. 2ab . e. ab . COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 6 17. Which of the following could represent the graph of21yx ? You may assume that each tick mark represents one unit. a. b. c. d. e. x x x x x y y y y y COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 7 18. If11r st , then s a. tr . b. rt . c. rttr . d. rtrt . e. 1tr . 19. In the figure below, if the length of16AE , find the length ofEC. a. 21 b. 253 c. 5 d. 142 e. 4 20.

6 The graph of 22(2)(1)11625xy is which of the following? a. circle b. ellipse c. hyperbola d. parabola e. two intersecting lines 21. A parent rewards a child with 50 cents for each correctly solved MATHEMATICS problem and fines the child 30 cents for each incorrectly solved problem. If the child nets $ after 100 problems. How many problems were solved correctly? a. 30 b. 35 c. 45 d. 53 e. 65 22. If 51327x , then x a. 10 . b. 8 . c. 6 . d. 2 . e. 1. A B C E D 16 12 15 COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 8 23. If0x , then 4269xx = a. 263xx . b. 263xx . c. 23x . d. 2236xx . e. 269xx . 24. If 3log 81x , then x a. 2. b. 4. c. 6. d. 12. e. 27. 25. If 21log128x , then x a. 7 . b. 17.

7 C. 17 . d. 7. e. 64. 26. If log 5 andlog 3 , then log 45= a. b. c. d. e. 27. If log3loglogxab , then x a. 3()ab. b. 3ab . c. 3ab. d. 3ab. e. 3ab. COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 9 28. If , then 2 a. 18. b. 24. c. 28. d. 30. e. 31. 29. Given that 41log8, then logbbNN a. 2 . b. 12. c. 48. d. 418. e. 12 . 30. Given that a circle has 2 radians, how many degrees are equal to 12 radians? a. 6 b. 12 c. 15 d. 20 e. 30 31. If1cos 602 , then cos 300 a. 32. b. 12 . c. 22. d. 32 . e. 12. 32. If 5tan, 09012 , then cos a. 513. b. 1213. c. 135. d. 1312.

8 E. 125. COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 10 33. The figure below shows a portion of the graph of which of the following functions? Note that the x-axis is labeled in radians. Each tick mark on the y-axis is one unit. a. 2 sin2xy b. 2 cos 2yx c. 2 cos2xy d. 2sin 2yx e. 2 cos 2yx 34. In the figure below, the length of BC is a. 8sin 36. b. 8cos 36. c. 8 tan 36. d. 6. e. 10. 35. Given 0360x and 4sin15, then xx a. 0. b. 90. c. 180. d. 270 . e. 360. B B C A 360 8 COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 11 36. 2sin cosxx a. sin 2x. b. cos 2x. c. sin12x . d. 4sin cosxx.

9 E. 22 cosx . 37. What is not true of the graph of ()yf x below? a. This is not a one-to-one function. b. This function has no real roots. c. The domain of the function is , . d. This is not an odd function. e. (2)f is negative. x y COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 12 38. Write the equation of an ellipse with foci at ( 6, 3),(0, 3) and a major axis of length 10. a. 22(2)(3)12516xy b. 22(4)(3)12516yx c. 22(3)(3)12516xy d. 22(4)(3)12516xy e. 22(3)(4)12516xy 39. sin (cscsin ) = a. 2cos . b. 2tansin . c. 2secsin . d. 2cotsin . e. 2sin . 40. Which expresses y as a function of x? a. 224xy b. 24xy c. 4x d. 244xy e. 22sinsinxy 41. Let23( ), ( )7f xxg xxx . Find( (2))fg.

10 A. 6 b. 12 c. 8 d. 12 e. 0 COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 13 42. Which of the following could represent the graph below? a. 3234yxx b. 24yx c. 3yx d. 24yx e. 3291yxx 43. Solve 2tan1,x where0x . a. 2 b. 3,44 c. 1, 1 d. 0 e. 4 44. If 1()1fxx and1()gxx , what is the domain of( ( ))f g x? a. (,1) b. (,1) (1, ) c. (, 0) (0,1) (1, ) d. (1, ) e. (, ) y x COLLEGE LEVEL MATHEMATICS Placement PRETEST September 2012 14 45. Evaluate: 1csc(cos)x . a. 21xx b. 21x c. 21xx d. 211x e. 21x 46. Solve: 4249250xx . a. 2549x b. 50,7x c. 4925x d. 70,5x e. 57x 47. What is the remainder when 3219114218xxx is divided by(4)x ?