Mathematics. Sample Test Questions Booklet

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1 Collegiate Assessment of Academic Proficienc Mathematics Sample Test Questions Booklet 009 b ACT, Inc. All rights reserved. NTE: This booklet is covered b Federal copright laws that prohibit the reproduction of the test questions without the epress, written permission of ACT, Inc.

2 (5 ) =? A. 04 B. 18 C. 89 D. 7 E Cit Hall, the hub of the cit, is placed at the origin of a standard (,) coordinate grid as shown below. Grid lines 1 unit apart are used to locate other important buildings. N W Courthouse Police Station Fire Station Cit Hall S Librar High School Stadium Which landmark building is located b the coordinates ( 1,1)? F. Stadium G. Courthouse H. Fire station J. Librar K. Police station E. At 1:00 p.m. a car leaves St. Louis for Chicago, traveling at a constant speed of 65 miles per hour. At :00 p.m. a truck leaves Chicago for St. Louis, traveling at a constant speed of 55 miles per hour. If it is a 05-mile drive between St. Louis and Chicago, at what time will the car and truck pass each other? A. :0 p.m. B. :00 p.m. C. 4:00 p.m. D. 4:0 p.m. E. 5:00 p.m. 4 G N T THE NEXT PAGE.

3 4. For all 0 and 0, 4 =? (4) F. G. H. J. K If is epressed in the form n, what is the value of n? A. 5 B. 4 C. 4 D. 5 E What is the value of + 6 4? F. 1.5 G H J K What is the sum of ( + ) and ( )? A. + B. + 5 C D. 4 + E G N T THE NEXT PAGE.

4 8. What are the factors of 1c + cd 6d? F. 0(4c + d)(c d) G. 0(4c d)(c + d) H. 0(6c + 0d)(c 6d) J. 6(c 0d)(0c + 0d) K. 6(c + 0d)(0c 0d) 9. How much larger than the sum of 1,, and 5 is the sum of the squares of these same integers? A. 18 B. 0 C. D. 8 E. 10. Which of the following epresses the complete solution, for, to the inequalit shown below? 5 > 5 9 F. > 7_ 4 G. > H. < J. > K. < 11. The figure below most closel resembles the graph of which of the following functions? A. + 1 B. + 1 C. 1 D. E. 1 6 G N T THE NEXT PAGE.

5 1. The owner of a store displas a large jar of nickels and dimes and offers the value of the coins to the person who guesses how man dimes there are. If there are 1,10 coins, and the are worth $100, how man dimes are there? F. 0,10 G. 0,60 H. 0,870 J. 0,970 K. 1, In simplified form, 4 4 z =? 8 z A. z B. C z 7 z D. 16z E. 7 z 14. The graphs of = 1 and = separate the plane into 5 regions, labeled A, B, C, D, and E in the diagram below. Which region represents the intersection of the graphs of the inequalities < 1 and < ? A 5 B C 5 D E 5 5 F. A G. B H. C J. D K. E 7 G N T THE NEXT PAGE.

6 15. Which graph best presents the following sstem of equations and its solution? + = 4 = 0 A. D. B. E. C. 16. Tickets to a pla cost $5 for adults and $ for children. If 1,750 tickets were sold for a total of $7,100, how man children s tickets were sold? F. 0,550 G. 0,650 H. 1,100 J. 1,00 K. 1, Where are the points (1,) and ( 1,1) in relation to the line + 4 = 7? A. Both are on the line. B. ne is on the line and the other is off the line. C. Both are above the line. D. Both are below the line. E. ne is above the line and the other is below the line. 8 G N T THE NEXT PAGE.

7 18. If f () = + 7, g() = 5, and h() = + 6, then h() + [ f () g()] 6 =? F. 7 + G H J K If 101! = (99!), then = A. 000,001 B C. 9,900 D. 10,100 E. 999, If log F. G. 8 H. 8 J. 8 K. 8 4 = _, then what is the value of? 1. At a fruit market where no sales ta is charged, Abe paid $1.90 for 1 pear and apples; Joan paid $1.60 for 1 pear, 1 apple, and 1 orange; and Latona paid $1.70 for apples and 1 orange. If each person paid the same amount per pear, the same amount per apple, and the same amount per orange, what amount did each person pa for each apple? A. $0.40 B. $0.45 C. $0.50 D. $0.5 E. $ G N T THE NEXT PAGE.

8 . If the range of f () = + 4 is all real numbers from 1 to 9, what positive numbers lie in the domain of f ()? F. 5 G. 5 1 H. 9 5 J. 1 9 K Which of the following is equivalent to 1? A. 0 B. a C. a D. a E. 5a a 4. What is the 50th term of the arithmetic sequence 4, 10, 16,,? F. 0 G. 06 H. 94 J. 98 K If f () = +, then f (a + b) =? A. a + b + B. a + b + 4 C. + + a + b D. + + a + b E a + b 10 G N T THE NEXT PAGE.

9 6. If i = 1, which of the following is equivalent to i _? 1 + i F. G. 1 + i H. 1 i J. 1 + i K. 7. Which of the following equations has i, i, and 0 as its onl roots? A. 1 = 0 B. + 1 = 0 C = 0 D. = 0 E. + = 0 8. A sighting from sea level to the top of a lighthouse was 60. The lighthouse is known to rise 180 feet above sea level. What is the distance (to the nearest foot) between the observer and the base of the lighthouse? F. 104 G. 180 H. 08 J. 54 K If sin, = and is between π and _ π_, what is the value of _? A. B. C. D. 5π 6 7π 1 5π 1 π E. π 1 11 G N T THE NEXT PAGE.

10 0. Which of the following is another epression for 1 + csc,θ cot,θ? sec,θ F. sin, θ+tan,θ cot,θ G. cos,θ +tan,θ cot,θ H. cos,θ J. sin, θ K. cos,θ +sin,θ 1. If sin, = sin,, then which of the following could NT be true? A. = 0 B. = π C. cos, = D. sin, = 0 E. cos, = 0. i(4 6i) =? F. 8i + 1 G. 8i 1 H. 1 8i J. 8 1i K i. If log.477 and log.01, then log 6? (Note: means approimatel equal to.) A..14 B..86 C..89 D..778 E G N T THE NEXT PAGE.

11 4. If for all, f () = + and g() = + 4, what is the value of f ()? g() F. G. H. J. 0 K If f () = 5 + _, what is the -intercept of the graph of f 1 ()? A. _ B. _ 5 C. D. E. _ 5 END F TEST IF YU FINISH BEFRE TIME IS CALLED, YU MAY G BACK AND CHECK YUR WRK. 1

BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH06 Review Sheet y 6 2x + 5 y.

BRONX COMMUNITY COLLEGE of the Cit Universit of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH06 Review Sheet. Perform the indicated operations and simplif: n n 0 n + n ( 9 ) ( ) + + 6 + 9ab