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COMPASS Algebra Practice Test A This practice test is 10 items long.
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If x = -2 and y = 5, what is the value of the expression 2x 3 – 3xy ? I know how to solve this problem. a)Yes b)No c)I’m not sure
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What are the solutions to the quadratic equation x 2 – 2x = 48? I know how to solve this problem. a)Yes b)No c)I’m not sure
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Rationalize the denominator. I know how to solve this problem. a)Yes b)No c)I’m not sure
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What is the equation of the line that contains the points (-1, 1) and (2, 7)? I know how to solve this problem. a)Yes b)No c)I’m not sure
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For all x ±3, I know how to solve this problem. a)Yes b)No c)I’m not sure
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Which is the complete factorization of (3, -15) I know how to solve this problem. a)Yes b)No c)I’m not sure
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What is the product of and I know how to solve this problem. a)Yes b)No c)I’m not sure
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If then I know how to solve this problem. a)Yes b)No c)I’m not sure
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If, what is the value of the expression I know how to solve this problem. a)Yes b)No c)I’m not sure
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For all b 0, I know how to solve this problem. a)Yes b)No c)I’m not sure
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Answers Algebra Practice Test A 1.A 2.D 3.B 4.E 5.D 6.A 7.C 8.C 9.B 10.E
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A1. If x = -2 and y = 5, what is the value of the expression 2x 3 – 3xy ? A.14 B.46 C.54 D.-46 E.-54 2x 3 – 3xy 2(-2) 3 – 3(-2)(5) 2(-8) – 3(-10) -16 – -30 -16+30 = 14
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A2. What are the solutions to the quadratic equation x 2 – 2x = 48? A. -12, -4 B. -8, -6 C. 6, 8 D. -6, 8 E. -8, 6 Set the equation equal to zero. x 2 – 2x = 48 x 2 – 2x – 48 = 0 Factor (x + 6)(x – 8) = 0 Write a solution set. x = {-6, 8}
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D. E. A. B. C. A3.Rationalize the denominator.
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First simplify the expression. Rationalize the denominator means to remove the radical from the bottom of the fraction Multiply the top and bottom by a number that will make the denominator a perfect square. This is a match for B Then simplify the denominator to get rid of the radical.
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D. E. A. B. C. A4.What is the equation of the line that contains the points (-1, 1) and (2, 7)?
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First calculate the slope m. Now find b Use Slope Intercept Now put m and b together to write the equation. This is a match for E
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A5.For all x ±3, A. B. C. D. E.
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A5.For all x ±3, Rational Expression Factor Cancel This is a match for D
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A6.Which is the complete factorization of 5y 3 – 125y Factor out the common 5y 5y(y 2 – 25) Difference of squares 5y(y + 5)(y – 5) A. B. C. D. E.
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A7.What is the product of and A. B. C. D. E.
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A8.If then A. B. C. D. E.
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A8.If then First convert 3½ to an improper fraction Multiply by the reciprocal Convert 16/7 to a mixed number This is a match for C
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A9.If, what is the value of the expression A.12 B.14 C.17 D.22 E.36
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A10. For all b 0, A.18b B.6b C. 32b 2 + 48b D.2b 2 + 4b E.2b + 4 Rational Expression Factor Cancel = 2b + 4
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