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COMPASS Algebra Practice Test 2

This algebra practice test consists of 10 items with complete solutions provided. Test your skills in algebra with this comprehensive practice test. Record your answers on paper and check against the correct answers provided.

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COMPASS Algebra Practice Test 2

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  1. COMPASS AlgebraPractice Test 2 • This practice test is 10 items long. • Record your responses on a sheet of paper. • The correct answers are on the slide after the last question. • Complete solutions follow the answer slide. • Click the mouse or use the spacebar to advance to the next question.

  2. A. 2x2 – 7xy + 6y2 ¡ B. 2x2 + xy – 6y2 ¡ C. 2x2 + 7xy + 6y2 ¡ D. 2x2 – xy – 6y2 ¡ E. 2x2 + 7xy – 6y2 1. Which of these is the product of (x + 2y) and (2x – 3y) ?

  3. 2. For all and , ¡ A. • B. • C. • D. • E.

  4. 3. This is a graph of which equation? ¡ A. • B. • C. • D. • E.

  5. 4. What is the solution to the equation 3(x + 2) – 2(2x + 2) = -2 ? ¡ A. -12 • B. 10 • C. -4 • D. 4 • E. 12

  6. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 5. In the Cartesian plane what is the distance between the points and ?

  7. ¡ A. ¡ B. ¡ C. -375 ¡ D. ¡ E. -125 6. Simplify:

  8. 7. What is the distance from point A to point B? • A. 8 ¡ B. 34 ¡ C. ¡ D. ¡ E.

  9. 8. For all x ≠ 0 and y ≠ 0, • A. ¡ B. ¡ C. ¡ D. ¡ E.

  10. 9. For all x, y, and z, (x3y2z)2 • A. x5y4z2 • B. x6y4z2 ¡ C. x9y4z2 ¡ D. x5y4z3 ¡ E. 2x3y2z

  11. 10. If and , then • A. 45 • B. 64 • C. 30 ¡ D. 9 ¡ E. 15

  12. B A D D E D D B B A Answers Algebra Practice Test 2

  13. A. 2x2 – 7xy + 6y2 ¡ B. 2x2 + xy – 6y2 ¡ C. 2x2 + 7xy + 6y2 ¡ D. 2x2 – xy – 6y2 ¡ E. 2x2 + 7xy – 6y2 1. Which of these is the product of (x + 2y) and (2x – 3y) ?

  14. 2. For all and , ¡ A. • B. • C. • D. • E. Multiply by the reciprocal of the divisor

  15. The y-intercept is +6 This eliminates E. Recall y = mx +b This line has a negative, downward slope. This eliminates B and C. 3. This is a graph of which equation? ¡ A. • B. • C. • D. • E. The slope is down 3 over 2. This eliminates A.

  16. 4. What is the solution to the equation 3(x + 2) – 2(2x + 2) = -2 ? ¡ A. -12 • B. 10 • C. -4 • D. 4 • E. 12

  17. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 5. In the Cartesian plane what is the distance between the points and ? Recall the distance formula.

  18. ¡ A. ¡ B. ¡ C. -375 ¡ D. ¡ E. -125 Negative Exponent Take the reciprocal. 6. Simplify: Rewrite rational exponent with radical notation Simplify

  19. 3 7. What is the distance from point A to point B? Use the Pythagorean Theorem • A. 8 ¡ B. 34 ¡ C. ¡ D. ¡ E. c 5

  20. 8. For all x ≠ 0 and y ≠ 0, Let each negative exponent cross the division bar and it becomes positive. • A. ¡ B. ¡ C. ¡ D. ¡ E.

  21. (x3y2z)2 (x3y2z)(x3y2z) When multiplying like bases, add the exponents. x3 + 3 y2 + 2 z1 + 1 x6 y 4 z 2 A. x5y4z2 B. x6y4z2 C. x9y4z2 D. x5y4z3 E. 2x3y2z 9. For all x, y, and z, (x3y2z)2

  22. 10. If and , then • A. 45 • B. 64 • C. 30 ¡ D. 9 ¡ E. 15

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