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COMPASS Practice Test 14
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A. B. C. 1. What is the value of when x = -5? D. -3 E. 3
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1. What is the value of when x = -5? Answer E
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2. Simplify A. B. C. D. E.
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2. Simplify Answer E
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3. In the figure below what is the distance between point A and B? A. 11 B. 10 C. D. 9 E. A B
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3. In the figure below what is the distance between point A and B? A B Use the Pythagorean Theorem. 4 7
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A. 9 B. 10 C. D. 14 E. 4. In the standard coordinate plane what is the distance between (-5, 2) and (1, -6)? Use the distance formula.
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4. In the standard coordinate plane what is the distance between (-5, 2) and (1, -6)? If you do not like the distance formula you can use the Pythagorean Theorem. 6 8 10
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5. 27 -2/3 = ? A. -18 B. C. 9 D. E.
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6. The parabola below is a graph of which equation? (-2, 4) (-4, 0) (0, 0) A. y = (x - 2) 2 + 4 B. y = (x + 2) 2 + 4 C. y = -(x - 2) 2 + 4 D. y = -(x + 2) 2 + 4 E. y = x 2 + 4x + 8
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Plug (-2, 4) into choice C y = -(x - 2) 2 + 4 4 = -(-2 - 2) 2 + 4 4 = -(-4) 2 + 4 4 = -16 + 4 4 = -12 False 6. The parabola below is a graph of which equation? (-2, 4) (-4, 0) (0, 0) Because the parabola points down we know that the x 2 term will be negative. (Negative Frown Face) C. y = -(x - 2) 2 + 4 D. y = -(x + 2) 2 + 4 Plug (-2, 4) into choice D y = -(x + 2) 2 + 4 4 = -(-2 + 2) 2 + 4 4 = -(0) 2 + 4 4 = -0 + 4 4 = 4 True
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7. The solution of the equation below falls between what two integers? 2x + 8 = 7x + 20 A. -4 and -3 B. -3 and -2 C. -2 and -1 D. 1 and 2 E. 2 and 3
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8. What is the solution of the system of equations below? A. (3a, 2a) B. (-3a, 2a) C. (15a, 11a) D. (15a, -11a) E. (3a, -2a)
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D. E. 9. What is the slope of the line in the standard coordinate plane determined by the equation 2x - 3y = 12? A. B. C.
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10. For all x and y, (x + 2y) 2 - 4y(x + y) = ? A. x 2 B. x 2 - 4xy C. x 2 - 2xy D. x 2 + 8y 2 E. (x + 4y)(x - 4y) (x + 2y) 2 - 4y(x + y) =(x + 2y)(x +2y) - 4xy - 4y 2 = x 2 + 4xy +4y 2 - 4xy - 4y 2 = x 2
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