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ACCUPLACER® AAF Practice Test #2 - KEY ACCUPLACER® Practice Test AAF #2 - Key © 2017 The College Board
ACCUPLACER® AAF Practice Test #2 - KEY 1. B: The correct solution is 40.82 because C = ??≈ 3.14(13) ≈ 40.82 inches. 2. B: the correct solution is BD because B and D are on the circle and the segment goes through the center of the circle. 3. B: The correct solution is 11.5 centimeters because 72 6.28 11.5 r r centimeters. 4. A: The correct solution is 1,793.6 because 1 1 (3.14)(47.8) 4 4 centimeters. 5. B: The correct solution is 2. For a parallelogram, there is a rotational symmetry every 1800. 6. D: The correct solution is the square with four lines of symmetry. There is a horizontal line, a vertical line, and two diagonal lines of symmetry that map the rectangle onto itself. 7. A: The correct solution is Points s, t, u, and y because these four points are in plane z. 8. C: A year-long contract is also 12 months long. Multiples of 12 months are 24 months and 36 months, 48 months and so on. 9. D: To determine whether a number is a factor of another number, divide the second number by the first number. If the quotient is whole (no remainder), the first number is a factor. In this case, 128 is only divisible by 16. 10. A: The prime factorization of 56 - for example, using a factor tree - yields the numbers 2, 2, 2, and 7. Ignoring repeats of 2, the unique prime factors are 2 and 7. 11. B: The correct solution is 440. Substitute the values into the formula and 2 72 (2)(3.14) C r r 2 300 (2)(3.14) 300 6.28 C r r r 1 4 r 2 2 centimeters. square 47.8 (3.14)(2,284.84) 1793.6 A r 1 3 1 3 1(10)(11)(12) 3 simplify using the order of operations, cubic 440 V Bh lwh inches. © 2017 The College Board
ACCUPLACER® AAF Practice Test #2 - KEY 12. C: The correct solution is 13 inches. Substitute the values into the formula, 2 2 260 6 4 . h h Apply the exponent and combine like terms, 260 260 20 h . Divide both sides by 20?, h = 13 inches. 13. B: The correct solution is 9 millimeters. Substitute the values into the formula, 4 972 3 the cube root, r = 9 millimeters. 14. B: The correct solution is 9. Substitute the values into the formula, 1 189 (7) 3s reciprocal of 7 3 and apply the square root, 15. A: The correct solution is 30. Substitute the values into the formula and 36 16 h h , then multiply by the reciprocal of 4 3 and get 729 = r3. Then apply 3 ( ) r 2 and simplify the right side of the equation. Multiply both sides by the feet. 2 81 9 s s 1 2 1(2)(6)(5) 2 simplify using the order of operations, , square inches. 30 A ap 16. D: The correct solution is 5 units and 7 units. The difference between the x- coordinates is -4 - (-9) = 5 units, and the difference between the y-coordinates is -1 - (-8) = 7 units. 17. A: The correct solution is (12, 0) because this point shows a rectangle with sides lengths of 5 units and 18 units. 18. B: The correct solutions are 8.81 and 14.2. The equation can be solved by the quadratic formula. ( 23) (23) 4(1)(125) 2(1) (23) 529 500 2 (23) 29 2 (23) 5.39 2 (23) 5.39 (23) 5.39 , 2 2 14.2, 8.81 x x Simplify the numerator and divide by 2. 2 Substitute 1 for a, -23 for b, and 125 for c. x Apply the exponent and perform the multiplication x Perform the subtraction. x Apply the square root. x Separate the problem into two expressions. x x © 2017 The College Board
ACCUPLACER® AAF Practice Test #2 - KEY 19. C: The correct solutions are8 and -11. ( 11)( 8) 0 x x ( 11) 0 ( 8) 0 x x ( 11) 0 11 x x 8 0 8 x x 20. B: The correct solutions are 0.46 and -0.54. 1 1 4(12)( 3) 2(12) 1 1 ( 144 24 1 145 24 1 12.04 24 1 12.04 1 12.04 , 24 24 11.04 13.04 0.46, 24 24 Factor the equation. Set each factor = 0. Subtract 11 from both sides to solve for the first factor. Add 8 to both sides to solve for the second factor. 2 Substitute 12 for a, 1 for b, and -3 for c. x Apply the exponent and perform multiplication. x Perform the subtraction. x Apply the square root. x Separate the problem into two expressions. x x Simplify the numerator and divide by 24. 0.54 x x © 2017 The College Board
