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Compass Practice B Algebra Test

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B1.Which of these is the product of (a + 2b) and (c - d)? A.ac + ad + bc - 2bd B.ac - ad + bc - 2bd C.ac - ad + bc - 2bd D.ac - ad + 2bc + 2bd E.ac - ad + 2bc - 2bd

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B1.Which of these is the product of (a + 2b) and (c - d)? Answer E

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B2.If a = -2 and b = 3, what is the value of the expression 3(a + b)(a - b). A.-5 B.5 C.15 D.-15 E.75 Answer D

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B3.This is a graph of which equation? A. B. C. D. E.

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B3.This is a graph of which equation? A. B. C. D. E. Notice first that the slope is going down (negative). This eliminates B and C. Notice that the y-intercept is positive 6. This eliminates E. The x-intercept is (9, 0). Try this point in both equations. Answer D

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B4.What is the solution to the equation 2(x + 3) - 3(x + 5) = 13 ? A.-22 B.-12 C.-4 D.5 E.15 Answer A

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B5.Peggy gets paid a weekly salary of D dollars a week plus a commission of 8% on her total sales S. Which expression below best describes Peggy’s weekly pay? A.D + S B.8D + S C.D + 8S D.D +.08S E..08(D + S) Convert 8% to decimal.08 and eliminate choices A, B, and C. Choice E would mean Peggy would only get 8% of her salary D. And Peggy will not stand for that! Answer D

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B6.Which of these is the product of (D 3 + 2D 2 - 2D + 3) and (D - 5) ? A.D 4 + 2D 3 - 2D 2 + 3D B.D 4 - 3D 3 - 8D 2 + 13D - 15 C.D 4 - 3D 3 - 12D 2 - 7D - 15 D.D 4 + 7D 3 + 12D 2 + 13D + 15 E.D 4 - 3D 3 - 12D 2 + 13D - 15

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B6.Which of these is the product of (D 3 + 2D 2 - 2D + 3) and (D - 5) ? This problem is asking you to multiply (D - 5) (D 3 + 2D 2 - 2D + 3) First distribute the D through the polynomial. (D) (D 3 + 2D 2 - 2D + 3) = D 4 + 2D 3 - 2D 2 + 3D Now distribute the -5 (-5) (D 3 + 2D 2 - 2D + 3) = -5D 3 - 10D 2 + 10D - 15 Combine like terms D 4 + 2D 3 - 2D 2 + 3D - 5D 3 - 10D 2 + 10D - 15 = D 4 - 3D 3 - 12D 2 + 13D - 15 = Answer E

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B7.What is the distance from point A to point B? A.13 B.85 C. D. E. A B

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B7.What is the distance from point A to point B? A B You can use the Pythagorean theorem to find the distance. a 2 + b 2 = c 2 First determine the length of the legs. 6 7 c Answer E

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B8.For all a 0 and b 0, A. B. C. D. E.

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B8.For all a 0 and b 0, First make all of the exponents positive. Multiply by adding the exponents. Answer D

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B9.For all a, b, and c, (a 3 b 2 c) 2 A.a 5 b 4 c 2 B.a 6 b 4 c 2 C.a 9 b 4 c 2 D.a 5 b 4 c 3 E.2a 3 b 2 c When raising a power to a power, multiply exponents. (a 3 b 2 c) 2 = a 3(2) b 2(2) c 1(2) = a 6 b 4 c 2 Answer B

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B10. For all x, 3(2x + 5) - 4(x - 2) = 3(2x + 2) + 1 A.x = 9 B.x = -5 C.x = 4 D.x = 3 E.x = 0

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B10. For all x, 3(2x + 5) - 4(x - 2) = 3(2x + 2) + 1 3(2x + 5) - 4(x - 2) = 3(2x + 2) + 1 6x + 15 - 4x + 8 = 6x + 6 + 1 2x + 23 = 6x + 7 16 = 4x 4 = x Answer C

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