ACCUPLACER Sample Questions for Students

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1 ACCUPLACER Sample Questions for Students 0 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:

2 6 4 0x + 8x 8. = x 9x 4x 4 4 C. 5x + 4x 5x + x 9. 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? C 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? ( p + ) exercises per hour ( p ) exercises per hour C. p exercises per hour p exercises per hour College-Level Mathematics Test The College-Level Mathematics test measures your ability to solve problems that involve college-level mathematics concepts. There are six content areas measured on this test: (a) Algebraic Operations, (b) Solutions of Equations and Inequalities, (c) Coordinate Geometry, (d) Applications and other Algebra Topics, (e) Functions and (f) Trigonometry. The Algebraic Operations content area includes the simplification of rational algebraic expressions, factoring and expanding polynomials, and manipulating roots and exponents. The Solutions of Equations and Inequalities content area includes the solution of linear and quadratic equations and inequalities, systems of equations, and other algebraic equations. The Coordinate Geometry content area presents questions involving plane geometry, the coordinate plane, straight lines, conics, sets of points in the plane, and graphs of algebraic functions. The Functions content area includes questions involving polynomial, algebraic, exponential and logarithmic functions. The Trigonometry content area includes trigonometric functions. The Applications and other Algebra Topics content area contains complex numbers, series and sequences, determinants, permutations and combinations, factorials, and word problems. A total of 0 questions are administered on this test. 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. 5. C. 5 0 The College Board. ACCUPLACER SAMPLE QUESTIONS

3 7. If the two square regions in the figures below have the. If a b and x + a = b, then x = respective areas indicated in square yards, how many yards of fencing are needed to enclose the two regions? b a b a C. ab 5 a b ab 5 ab a b 4 0. If x x + 7 = 0, then (x ) = 0 0 C If log 0 x =, then x = C , C The graph of which of the following equations is a straight line parallel to the graph of y = x? 4x y = 4 0 x y = x 9. If f(x) = x + and g(x) =, then f(g(x)) = C. x y = 4 x + y = x x y = 4 x 4x + 5. An equation of the line that contains the origin and the 4x + point (, ) is C. x y = x 5x + y = x (x + )(x ) C. y = x y = x + 0. If θ is an acute angle and sin θ =, then cos θ = y - = x 0 6. An apartment building contains units consisting of one- and two-bedroom apartments that rent for $60 and C. $450 per month, respectively. When all units are rented, the total monthly rental is $4,950. What is the number of two- bedroom apartments? 4. 5y(y ) + (y ) = C. 5 (5y + ) (y + ) 6 (5y + ) (y ) 7 C. (5y ) (y + ) (5y ) (y ) 0y (y ). For what real numbers x is x 6x + 9 negative? < x < x < or x > C. x = or x = 0 < x < 6 For no real numbers x 0 The College Board. ACCUPLACER SAMPLE QUESTIONS

4 . A root of x 5x = 0 is C In the xy -plane, the graph of y = x and the circle with center (0,) and radius have how many points of intersection? None One C. Two Three More than three 5. If an equation of the linear function in the figure above is y = mx + b, then m = r s r s C. rs r s 6. 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? 8 C x value of f (? 7. If f ( x) = C. 7 ) 8. The sequence { a } a x and f is the inverse of f, what is the 0. If f x and a < b, which of the following must be true? ( ) ( ) f a + f b = f ( a) + = f b f a = f b is defined by a = and n 0 = a + for n = 0,,,.... What is the value of n+ n a? 8 0 C 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? 5 C ( ) = C. ( ) ( ) f ( a ) < f ( b) f ( a) > f ( b) ( ) 0 The College Board. 4 ACCUPLACER SAMPLE QUESTIONS

5 Answer key ESL LAngUAgE USE QUESTion number CoRRECT AnSWER A A D 4 D 5 B 6 D 7 D 8 B 9 A 0 A D C B 4 C 5 B 6 C 7 B 8 C 9 A 0 B C A A CoLLEgE-LEVEL MAThEMATiCS QUESTion number CoRRECT AnSWER C E E 4 C 5 A 6 E 7 C 8 B 9 A 0 D B E E 4 C 5 A 6 E 7 E 8 E 9 D 0 E 0 The College Board. ACCUPLACER SAMPLE QUESTIONS 4