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COLLEGE LEVEL MATHEMATICS PRETESTThis pretest is designed to give you the opportunity to practice the types of problems thatappear on the college-level mathematics placement test. An answer key is provided sothat you may check your answers. The questions consist of algebra and trigonometryproblems.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 a76 or higher on elementary algebra questions, Accuplacer will automatically continueinto college-level mathematics questions. Once you begin answering these questions,your placement is based on your score in this portion of the exam.Start AccuplacerElementaryAlgebraScore 76 orhigher inelementaryalgebra?YESBegin College Level MathPortion of Accuplacer.Placement based on CollegeLevel Math Placement Testscore.NOPlacement into MAT033or MAT037 based onscore.

College Level Mathematics Placement Pretest1. 2 x( x 3) ( x 1)( x 2) a. x2 7 x 2 .b. x2 5x 2 .c. 3x2 7 x 2 .d. 3x2 5x 2 .e. 3x2 5x 2 .2.x7 x 2 x 2a.b.c.d.e.3.3x 7.x 2x 7.x 2x 2 9 x 14.x2 4x 2 9 x 14.x2 4x 7.4x2 2a. x 3 .4.b. x 3 .3c. x 2 .d. x 6 .e. x 6 .5 2 x 1 x4 y 21a.25x3 y 21b.10x5 y 225x 5.y210d. 3 2 .x y1e.25x5 y 2c.September 20122

College Level Mathematics Placement Pretest 125. (64) 1c. .8b. 4 .a. 8.d.1.8e.1.46. If 3 x a b , then x a.b. b a .3 a b .3c. b3 a3 .d. a3 b3 .e. 3 b a .1 1 x y7. 2 y x2a. xy( x y) .1b.xy ( x y )1c.3 ( x y 3 )d. y x .1e.x y8. 2 x 7 1 is equivalent to which of the following?a.b.c.d.e.2x 3x 33 x 4 4 x 30 x 319. a 3 a 4 1a. a 6 .2b. a 7 .11c. a 12 .1d. a 4 .3e. a 7 .September 20123

College Level Mathematics Placement Pretest10. In the figure below, if the length of AB is 10, find the length of AD.A3831141211241122a. 11b.c.d.e.10B8C10ED11. One solution of the equation x2 7 x 2 0 is7 41a.27 41b.27 57c.2 7 41d.2 7 57e.212. What is the slope of the line shown? You may assume that each tick mark representsone unit.yxa. 2b. 12c. 1d. 2e.12September 20124

College Level Mathematics Placement Pretest13. If f ( x) 4 x 2 , then f ( x 1) a.b.c.d.e.4 x2 6 x 2 .4 x2 2 x 2 .4x 2 .4x 6 .4 x 1.14. The graph of which of the following equations is a line parallel to the graph ofx 5y 8 ?a.b.c.d.e.x 5y 85x y 82 x 10 y 82 x 10 y 810 x 2 y 815. If z a.b.c.d.e.16. Ifa.b.c.d.e.x 8, then x 2x8.1 2z8.2z 1z 8.2z 8.22z 1 .x b a , then x a b2 .a b.a2 b .a2 b .a b .September 20125

College Level Mathematics Placement Pretest17. Which of the following could represent the graph of y x 2 1 ? You may assumethat each tick mark represents one unit.a.b.yyxc.xd.yxxe.yyxSeptember 20126

College Level Mathematics Placement Pretest18. Ifa.b.c.d.e.11 , then s r s tt r.r t .rt.t rrt.r t1.t r19. In the figure below, if the length of AE 16 , find the length of EC .Aa. 212b. 53c. 51d. 42e. 41612ED15CB( x 2) 2 ( y 1) 220. The graph of 1 is which of the following?1625a. circleb. ellipsec. hyperbolad. parabolae. two intersecting lines21. A parent rewards a child with 50 cents for each correctly solved mathematics problemand fines the child 30 cents for each incorrectly solved problem. If the child nets 22.00after 100 problems. How many problems were solved correctly?a. 30b. 3522. If 3x 5 1, then x 27a. 10 .b. 8 .c. 45d. 53e. 65c. 6 .d. 2 .e. 1.September 20127

College Level Mathematics Placement Pretest23. If x 0 , thenx4 6 x2 9 a. x 2 6 x 3 .b. x 2 6 x 3 .c. x 2 3 .d. x2 3 6 x 2 .e. x 2 6 x 9 .24. If log3 81 x , then x a. 2.b. 4.c. 6.d. 12.e. 27. 1 25. If log 2 x , then x 128 a. 7 .1b.71c. .7d. 7.e. 64.26. If log5 0.6990 and log3 0.4771 , then log 45 a.b.c.d.e.0.93755.0.58881.2.3524.2.1303.1.6532.27. If log x 3log a log b , then x a. (ab)3 .b. 3a b .c. 3ab .d. a 3b .a3e.bSeptember 20128

College Level Mathematics Placement Pretest28. If 21.5894 3, then 24.5894 a. 18.b. 24.c. 28.d. 30.e. 31. 1 29. Given that logb N 4 8, then log b N a. 2 .1b.2c. 4 8 .1d. 4 .81e. .230. Given that a circle has 2 radians, how many degrees are equal toa.b.c.d.e.61215203031. If cos 60 a.b.c.d.e.1, then cos300 23.21 .22.23. 21.232. If tan a. radians?125.135, 0 90 , then cos 121213b.c.135d.13.12e.12.5September 20129

College Level Mathematics Placement Pretest33. 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. x a. y 2sin 2 b. y 2cos 2 x x c. y 2 cos 2 d. y 2sin 2 x e. y 2cos 2 x C34. In the figure below, the length of BC isa.b.c.d.e.8sin 36 .8cos36 .8 tan 36 .6.10.B360B8A35. Given 0 x 360 and 4sin x 1 5, then x a. 0 .b. 90 .c. 180 .d. 270 .e. 360 .September 201210

College Level Mathematics Placement Pretest36. 2sin x cos x a. sin 2x .b. cos 2x . x c. sin 1 . 2 d. 4sin x cos x .e. 2cos2 x .37. What is not true of the graph of y f ( x) below?yxa. 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. f (2) is negative.September 201211

College Level Mathematics Placement Pretest38. Write the equation of an ellipse with foci at ( 6, 3),(0, 3) and a major axis oflength 10.a.b.c.d.e.( x 2)2 ( y 3)2 12516( y 4)2 ( x 3)2 12516( x 3)2 ( y 3)2 12516( x 4)2 ( y 3)2 12516( x 3)2 ( y 4)2 1251639. sin (csc sin ) a.b.c.d.e.cos2 .tan sin 2 .sec sin 2 .cot sin 2 .sin 2 .40. Which expresses y as a function of x?a. x y 422b. x y 4c. x 42d. x 4 y 42 sin y e. sin x2241. Let f ( x) x 2a. 63, g ( x) x 7 . Find f ( g (2)) .xb. 12c. 8d. 12e. 0September 201212

College Level Mathematics Placement Pretest42. Which of the following could represent the graph below?yxa. y x 3x 4b. y 2 x 43c. y x23d. y x 42e. y 2 x 9 x 1343. Solve tan x 1, where 0 x .2 2 3 b. ,4 4c. 1, 1a.d. 0e. 444. If f ( x) 11and g ( x) , what is the domain of f ( g ( x)) ?x 1xa. ( ,1)b. ( ,1) (1, )c. ( ,0) (0,1) (1, )d. (1, )e. ( , )September 201213

College Level Mathematics Placement Pretest45. Evaluate: csc(cos 1 x) .a.1 x2xb. 1 x 2xc.1 x21d.1 x2e.x2 146. Solve: 49 x4 25x2 0 .25a. x 495b. x 0, 749c. x 257d. x 0, 55e. x 747. What is the remainder when x3 19 x2 114 x 218 is divided by ( x 4) ?a. 4b. 9c. 6d. 2e. 048. The sum of a number and 6 is 8 more than twice the number. Find the equation thatcould be used to find this number x.a. x 6 2 x 8b. x 6 x2 8c. x 6 2( x 8)d. 6 x 2 x 8e. x 14 2 xSeptember 201214

College Level Mathematics Placement Pretest49. Given that f(x) is one-to-one, find the inverse of the function f ( x) ( x 6)3 6 .bga. f 1 x 3 x 6 6b. f 1 ( x) 3 x 6c. f 1 ( x) 3 x 6 6d. f 1 ( x) 3 x 6 6e. None of these.50. Simplify:4x 32x 43 4xb.4 2xc. e1 2 xe 3 4 x.e4 2 xa.d. e8 x 22 x 12e. e 1 2 x251. Write an equation of the line passing through the point (6, 10) with an undefinedslope.a. x 10b. x 6c. y 6d. y 10e. It cannot be determined from the given information.52. Perform the indicated operation and write the result in standard form: ( 3 2i)( 3 7i) .a. 5 27ib. 23 15ic. 5 15id. 23 15ie. 5 27iSeptember 201215

College Level Mathematics Placement Pretest53. What is the least common denominator fora.b.c.d.2( x 4)( x 4)3x4?andx 162x 824( x2 16) 3x(2 x 8)2( x 4)( x2 16)(2 x 8)e. 2 x 2 4 x7, find f ( x) g ( x) .and g ( x) 2x 16x 5x 4x 2 6 x 28a.( x 4)( x 4)x2 6b.( x 4)( x 4)54. If f ( x) c.2x 2 6 x 28( x 4)( x 4)( x 1)x 2 6 x 28d.( x 4)( x 4)( x 1)e.x 2 6 x 28 x2 16 x 1 ( x 2 19)( x 4)55. The function f ( x) hasx 2 81a. two vertical asymptotes; one oblique asymptote .b. one vertical asymptote; one horizontal asymptote.c. one vertical asymptote; no horizontal asymptote.d. no vertical asymptotes; one oblique asymptote.e. only two vertical asymptotes.September 201216

College Level Mathematics Placement PretestSOLUTIONS1. d26. e51. b2. c27. d52. b3. a28. b53. a4. e29. a54. c5. d30. c55. a6. a31. e7. b32. b8. d33. d9. c34. c10. e35. d11. e36. a12. a37. e13. d38. c14. d39. a15. a40. d16. c41. c17. b42. e18. a43. b19. e44. c20. c45. d21. e46. b22. b47. d23. c48. a24. b49. a25. a50. eSeptember 201217

College Level Mathematics Placement PretestWebsites for acer-test.com/https://secure.noctrl.edu/placement cement placement rg/September 201218

College Level Mathematics Placement Pretest September 2012 7 18. If 11 r s t s , then a. tr . b. rt . c. rt tr . d. rt