# GUIDE TO THE CUNY ASSESSMENT TESTS

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1 GUIDE TO THE CUNY ASSESSMENT TESTS IN MATHEMATICS Rev

2 Contents Welcome... 1 Contact Information...1 Programs Administered by the Office of Testing and Evaluation... 1 CUNY Skills Assessment:...1 Student Course and Faculty Evaluation:...1 Conflict Examinations:...1 CUNY Assessment Tests... Introduction... CUNY Skills Requirements... Reading and Writing:... Mathematics:... Additional Ways Transfer Students Can Demonstrate Proficiency for Baruch College... Note about proficiency standards... Mathematics Placement Testing (CUNY Assessment Test in Mathematics 6)... Frequently Asked Questions about the CUNY Assessment Tests... Who must take the CUNY Assessment Tests?... Where and when are the tests given?...4 What can students do to prepare for the tests?...4 What should students bring with them to the tests?...4 How do students get notified of their test results?...4 How can test results be appealed?...4 Students with Special Needs...4 CUNY Assessment Test in Mathematics... 5 Description of Examination...5 Reference Materials...5 Passing Scores...5 CUNY Assessment Test in Mathematics 5 Elementary Algebra/Skills Certification Sample Questions...6 CUNY Assessment Test in Mathematics 6 College Math/Placement Exam Sample Questions i

7 CUNY Assessment Test in Mathematics Description of Examination The CUNY Assessment Test in Mathematics is an untimed, multiple-choice, computer based test composed of four sections: Numbers and quantities; Problem solving; Algebraic expressions; Algebraic operations; Solutions of equations and inequalities; Coordinate geometry; Functions; Trigonometry; Applications and other topics. The CUNY Assessment Test in Mathematics 5 (Elementary Algebra) covers Numbers and quantities; Algebraic expressions and Problem Solving. The CUNY Assessment Test in Mathematics 6 (College Math) covers Algebraic operations; Solutions of equations and inequalities; Coordinate geometry; Functions; Trigonometry; Applications and other topics. The CUNY Assessment Test in Mathematics 5 (Elementary Algebra) is used to determine the University and Baruch College s skills certification requirement. The CUNY Assessment Test in Mathematics 6 (College Math) is used to determine placement into Mathematics and Mathematics-related courses. Reference Materials Students may not bring calculators or any other reference materials to this examination. Students will be provided with a computer based calculator to be used during the examination. Passing Scores The passing score of the CUNY Assessment Test in Mathematics 5 Elementary Algebra/Skills Certification is a scaled score of 57. There is no passing/failing score for the CUNY Assessment Test in Mathematics 6 College Math/Placement. 5

8 ACCUPLACER Sample Questions for Students Mathematics 5 - Elementary Algebra Skills Certification 016 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College Board. All other products and services may be trademarks of their respective owners. Visit the College Board on the Web:

9 Elementary Algebra There are 1 questions administered on the Elementary Algebra test, divided into the following content areas: Numbers and quantities. Topics include integers and rational numbers, computation with integers and negative rationals, absolute value, and ordering. Algebraic expressions. Topics include evaluation of simple formulas and expressions, adding and subtracting monomials and polynomials, multiplying and dividing monomials and polynomials, evaluating positive rational roots and exponents, simplifying algebraic fractions, and factoring. Problem solving. Topics include translating written phrases into algebraic expressions, solving linear equations and inequalities, quadratic equations (by factoring), and verbal problems presented in an algebraic context. Elementary Algebra Sample Questions For each of the questions below, choose the best answer from the four choices given. You may use the paper you received as scratch paper. 1. If A represents the number of apples purchased at 15 cents each, and B represents the number of bananas purchased at 10 cents each, which of the following represents the total value of the purchases in cents? A. A + B B. 5(A + B) C. 10A + 15B D. 15A + 10B. 15 =? A. 17 B. 0 C. 17 D. 0. What is the value of the expression x + xy 4y when x = and y = 4? A. 80 B. C. D In the figure below, both circles have the same center, and the radius of the larger circle is R. If the radius of the smaller circle is units less than R, which of the following represents the area of the shaded region? A. πr B. π(r ) C. πr π D. πr π(r ) 5. (x y) = A. 9x 4y B. 9x + 4y C. 9x 6xy + 4y D. 9x 1xy + 4y 016 The College Board. ACCUPLACER SAMPLE QUESTIONS 7

10 A. B D. C. A. B. 016 The College Board. ACCUPLACER SAMPLE QUESTIONS 8

11 18. 10x 6 + 8x 4 = x A. 9x 1 B. 14x 4 C. 5x 4 + 4x D. 5x + x 19. A rectangular yard has area 96 square feet. If the width of the yard is 4 feet less than the length, what is the perimeter, in feet, of the yard? A. 40 B. 44 C. 48 D On Monday, it took Helen hours to do a page of science homework exercises. The next day she did the same number of exercises in hours. If her average rate on Monday was p exercises per hour, what was her average rate the next day, in terms of p? A. p + 1 exercises per hour B. p 1 exercises per hour C. D. p exercises per hour p exercises per hour 016 The College Board. ACCUPLACER SAMPLE QUESTIONS 9

12 Answer Key ELEMENTARY ALGEBRA QUESTION CORRECT NUMBER ANSWER 1 D B A 4 D 5 D 6 B 7 A 8 B 9 D 10 A 11 B 1 C 1 B 14 C 15 C 16 A 17 A 18 C 19 A 0 D 016 The College Board. ACCUPLACER SAMPLE QUESTIONS 10

13 ACCUPLACER Sample Questions for Students Mathematics 6 - College Math Placement 016 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College Board. All other products and services may be trademarks of their respective owners. Visit the College Board on the Web:

14 College-Level Mathematics There are 0 questions administered on the College- Level Mathematics test, divided into the following content areas: Algebraic operations. Topics include simplifying rational algebraic expressions, factoring and expanding polynomials, and manipulating roots and exponents. Solutions of equations and inequalities. Topics include solving linear and quadratic equations and inequalities, systems of equations and other algebraic equations. Coordinate geometry. Topics include plane geometry, the coordinate plane, straight lines, conics, sets of points in the plane, and algebraic function graphs. Functions. Topics include polynomial, algebraic, exponential, and logarithmic functions. Trigonometry. Topics include trigonometric functions. Applications and other topics. Topics include complex numbers, series and sequences, determinants, permutations and combinations, factorials, and word problems. College-Level Mathematics Sample Questions For each of the questions below, choose the best answer from the five choices given. You may use the paper you received as scratch paper = 1 A. B. C. 5 D. E. 016 The College Board. ACCUPLACER SAMPLE QUESTIONS 1

15 1 1 a b and x + 1. If a = b, then x = 1 1 A. b a B. b a 1 C. ab D. E. a b ab ab a b 1. If x x + 7 = 0, then ( x ) = 0 A. 9 7 B. 9 7 C. 9 8 D. 9 0 E The graph of which of the following equations is a straight line parallel to the graph of y = x? A. 4x y = 4 B. x y = C. x y = 4 D. x + y = E. x y = 4 5. An equation of the line that contains the origin and the point (1, ) is A. y = x B. y = x C. y = x 1 D. y = x +1 y E. = x 1 6. An apartment building contains 1 units consisting of one- and two-bedroom apartments that rent for \$60 and \$450 per month, respectively. When all units are rented, the total monthly rental is \$4,950. What is the number of two-bedroom apartments? A. B. 4 C. 5 D. 6 E If the two square regions in the figures below have the respective areas indicated in square yards, how many yards of fencing are needed to enclose the two regions? (Assume the regions are fenced separately.) A B C. 4 5 D. 100 E If log 10 x =, then x = A. 10 B. 1,000 C D. E x 1 9. Iff (x) = x + 1 and g(x) =, then f (g(x)) = A. x x 1 B. 4x+ 4x + C. x 1 5x +1 D. (x + 1)(x 1) E If θ is an acute angle and sin θ =, then cos θ = A. 1 B. 0 1 C. D. E y(y ) + (y ) = A. (5y + 1) (y + ) B. (5y + 1) (y ) C. (5y 1) (y + ) D. (5y 1) (y ) E. 10y (y ) 016 The College Board. ACCUPLACER SAMPLE QUESTIONS 1

16 1. For what real numbers x is the value of x 6x + 9 negative? A. < x < B. x < or x > C. x = or x = D. 0 < x < 6 E. For no real numbers x 1. A root of x 5x 1 = 0 is 1 9 A. B. C. D. E A. r s r B. s C. rs D. r E. s In the xy-plane, the graph of y = x and the circle with center (0, 1) and radius have how many points of intersection? 15. A. None B. One C. Two D. Three E. More than three (0, r) (s, 0) y 0 x If an equation of the linear function in the figure above is y = mx + b, then m = 16. One ordering of the letters T, U, V, and W from left to right is UTVW. What is the total number of orderings of these letters from left to right, including UTVW? A. 8 B. 1 C. 16 D. 0 E If f (x) = x 1 and f 1 is the inverse of f, what is the value of f 1 ()? 1 A. B. C. 1 D. 7 E. 18. The sequence {a n } is defined by a o = 1 and a n +1 = a n + for n = 0, 1,,.... What is the value of a? A. 8 B. 10 C. 16 D. 0 E. 19. From 5 employees at a company, a group of employees will be chosen to work on a project. How many different groups of employees can be chosen? A. B. 5 C. 6 D. 10 E If and a < b, which of the following must be true? A. f (a) + f (b) = f (x) = ( 1 ) x B. f (a) + 1 = f (b) C. f (a) = f (b) D. f (a) < f (b) E. f (a) > f (b) 016 The College Board. ACCUPLACER SAMPLE QUESTIONS 14

17 Answer Key COLLEGE-LEVEL MATHEMATICS QUESTION NUMBER CORRECT ANSWER 1 C E E 4 C 5 A 6 E 7 C 8 B 9 A 10 D 11 B 1 E 1 E 14 C E 17 E 18 E 19 D 0 E 016 The College Board. ACCUPLACER SAMPLE QUESTIONS 15

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