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Compass Practice B

Compass Practice B. Algebra Test. 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. B1. Which of these is the product of (a + 2b) and (c - d)?.

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Compass Practice B

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  1. Compass Practice B Algebra Test

  2. 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

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

  4. 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

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

  6. B3. This is a graph of which equation? Answer D ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. The x-intercept is (9, 0). Try this point in both equations. 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.

  7. 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

  8. 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

  9. B6. Which of these is the product of (D3 + 2D2 - 2D + 3) and (D - 5) ? ¡ A. D4 + 2D3 - 2D2 + 3D ¡ B. D4 - 3D3 - 8D2 + 13D - 15 ¡ C. D4 - 3D3 - 12D2 - 7D - 15 ¡ D. D4 + 7D3 + 12D2 + 13D + 15 ¡ E. D4 - 3D3 - 12D2 + 13D - 15

  10. B6. Which of these is the product of (D3 + 2D2 - 2D + 3) and (D - 5) ? This problem is asking you to multiply (D - 5) (D3 + 2D2 - 2D + 3) First distribute the D through the polynomial. (D) (D3 + 2D2 - 2D + 3) = D4 + 2D3 - 2D2 + 3D Now distribute the -5 (-5) (D3 + 2D2 - 2D + 3) = -5D3 - 10D2 + 10D - 15 Combine like terms D4 + 2D3 - 2D2 + 3D- 5D3 - 10D2 + 10D - 15 = D4 - 3D3 - 12D2 + 13D - 15 = Answer E

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

  12. B7. What is the distance from point A to point B? Answer E You can use the Pythagorean theorem to find the distance. a2 + b2 = c2 A First determine the length of the legs. c 6 B 7

  13. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. B8. For all a¹ 0 and b¹ 0,

  14. B8. For all a¹ 0 and b¹ 0, Answer D First make all of the exponents positive. Multiply by adding the exponents.

  15. B9. For all a, b, and c, (a3 b 2c)2 When raising a power to a power, multiply exponents. ¡ A. a5b4c2 ¡ B. a6b4c2 ¡ C. a9b4c2 ¡ D. a5b4c3 ¡ E. 2a3b2c (a3 b 2c)2 = a3(2) b 2(2)c1(2) = a6 b 4c2 Answer B

  16. 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

  17. 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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