Start Accuplacer. Elementary Algebra. Score 76 or higher in elementary algebra? YES

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1 COLLEGE LEVEL MATHEMATICS PRETEST This pretest is designed to give ou the opportunit to practice the tpes of problems that appear on the college-level mathematics placement test An answer ke is provided so that ou ma check our answers The questions consist of algebra and trigonometr problems The Accuplacer Test is an adaptive test Depending on our answers to each question, ou ma find that ou will be tested on some or all of the material in this packet The mathematics placement testing includes elementar algebra to start If ou score a 76 or higher on elementar algebra questions, Accuplacer will automaticall continue into college-level mathematics questions Once ou begin answering these questions, our placement is based on our score in this portion of the eam Start Accuplacer Elementar Algebra Score 76 or higher in elementar algebra? NO Placement into MAT0 or MAT07 based on scor YES Begin College Level Math Portion of Accuplacer Placement based on College Level Math Placement Test scor

2 ( ) ( )( ) a b c d a b c d = a b c d a 5 0 b 5 c d 5 September 0

3 5 (6) = a b c d 6 If a b, then a b a b a b c b a d a b b a 7 a ( ) b ( ) c ( ) d 7 is equivalent to which of the following? a b c d 0 9 a a a 6 a b 7 a c a d a 7 a September 0

4 0 In the figure below, if the length of AB is 0, find the length of AD a b c d A 0 C E 0 B D One solution of the equation a 7 b 7 c d is What is the slope of the line shown? You ma assume that each tick mark represents one unit a b c d September 0

5 If f ( ), then f( ) = a 6 b c d 6 The graph of which of the following equations is a line parallel to the graph of 5? a 5 b 5 c 0 d If z, then a z b z z c z d z 6 If b a, then a a b b a b c a b d a b a b September 0 5

6 7 Which of the following could represent the graph of that each tick mark represents one unit? You ma assume a b c d September 0 6

7 If, then s r s t a t r b r t rt c t r rt d r t t r 9 In the figure below, if the length of AE 6, find the length of EC a b c 5 d 5 A E C 6 5 D B ( ) ( ) 0 The graph of 6 5 a circle b ellipse c hperbola d parabola two intersecting lines is which of the following? A parent rewards a child with 50 cents for each correctl solved mathematics problem and fines the child 0 cents for each incorrectl solved problem If the child nets $00 after 00 problems How man problems were solved correctl? a 0 b 5 c 5 d 5 65 If, then 7 5 a 0 b c 6 d September 0 7

8 If 0, then 6 9= a b c 6 6 d If log, then a b c 6 d 7 5 If log, then a 7 b 7 c 7 d If log and log 077, then log 5= a b 05 c 5 d If log log a log b, then a ( ab ) b a b c ab d ab a b September 0

9 If 59 59, then a b c d 0 N a b c d 0 Given that a circle has radians, how man degrees are equal to 9 Given that logb N, then logb radians? a 6 b c 5 d 0 0 If cos60, then cos00 a b c d 5 If tan, 0 90, then cos a 5 b c d 5 5 September 0 9

10 B College Level Mathematics Placement Pretest The figure below shows a portion of the graph of which of the following functions? Note that the -ais is labeled in radians Each tick mark on the -ais is one unit a sin cos b c cos sin d cos In the figure below, the length of BC is C a sin6 b cos6 c tan6 d 6 0 B 6 0 A 5 Given 0 60 and sin 5, then a 0 b 90 c 0 d September 0 0

11 6 sin cos a sin b cos c sin d sin cos cos 7 What is not true of the graph of f ( ) 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 f () is negativ September 0

12 Write the equation of an ellipse with foci at ( 6, ),(0, ) and a major ais of length 0 a b c d ( ) ( ) 5 6 ( ) ( ) 5 6 ( ) ( ) 5 6 ( ) ( ) 5 6 ( ) ( ) sin (csc sin ) = a b c d cos tan sin sec sin cot sin sin 0 Which epresses as a function of? a b c d sin sin Let f ( ), g( ) 7 Find f( g ()) a 6 b c d 0 September 0

13 Which of the following could represent the graph below? a b c d Solve a b, c, d 0 9 tan, where0 If f( ) and g ( ), what is the domain of f ( g( ))? a (,) b (,) (, ) c (,0) (0,) (, ) d (, ) (, ) September 0

14 5 Evaluate: a b c d csc(cos ) 6 Solve: 5 a 9 5 b 0, 7 9 c 5 7 d 0, What is the remainder when 9 is divided b( )? a b 9 c 6 d 0 The sum of a number and 6 is more than twice the number Find the equation that could be used to find this number a 6 b 6 c 6 ( ) d 6 September 0

15 9 Given that f() is one-to-one, find the inverse of the function b g a f 6 6 b f ( ) 6 c f ( ) 6 6 d f ( ) 6 6 None of thes f ( ) ( 6) 6 e 50 Simplif: e a b c d e e e 5 Write an equation of the line passing through the point (6, 0) with an undefined slop a 0 b 6 c 6 d 0 It cannot be determined from the given information 5 Perform the indicated operation and write the result in standard form: ( i)( 7 i) a 5 7i b 5i c 5 5i d 5i 5 7i September 0 5

16 5 What is the least common denominator for and 6? a ( )( ) b ( 6) ( ) c ( ) d ( 6)( ) 7 5 If f ( ) and g( ) 6 5, find f ( ) g( ) 6 a ( )( ) b c d 6 ( )( ) 6 ( )( )( ) 6 ( )( )( ) The function f( ) ( 9)( ) has a two vertical asmptotes; one oblique asmptote b one vertical asmptote; one horizontal asmptot c one vertical asmptote; no horizontal asmptot d no vertical asmptotes; one oblique asmptot onl two vertical asmptotes September 0 6

17 SOLUTIONS d 6 e 5 b c 7 d 5 b a b 5 a e 9 a 5 c 5 d 0 c 55 a 6 a e 7 b b d d 9 c c 0 e 5 d e 6 a a 7 e d c d 9 a 5 a 0 d 6 c c 7 b e a b 9 e c 0 c 5 d e 6 b b 7 d c a b 9 a 5 a 50 e September 0 7

18 Websites for Practice: September 0