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COMPASS Algebra Practice Test 1

COMPASS Algebra Practice Test 1. 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.

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COMPASS Algebra Practice Test 1

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  1. COMPASS AlgebraPractice Test 1 • 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. 14 ¡ B. 46 ¡ C. 54 ¡ D. -46 ¡ E. -54 1. If x = -2 and y = 5, what is the value of the expression 2x3 – 3xy ?

  3. 2. What are the solutions to the quadratic equation x2 – 2x = 48? ¡ A. -12, -4 ¡ B. -8, -6 ¡ C. 6, 8 ¡ D. -6, 8 ¡ E. -8, 6

  4. ¡ D. ¡ E. ¡ A. ¡ B. ¡ C. 3.Rationalize the denominator.

  5. ¡ D. ¡ E. ¡ A. ¡ B. ¡ C. 4. What is the equation of the line that contains the points (-1, 1) and (2 , 7)?

  6. 5. For all x ¹ ±3, ¡ A. ¡ B. ¡ C. ¡ D. ¡ E.

  7. 6. Which is the complete factorization of • A. ¡ B. ¡ C. ¡ D. ¡ E. (3, -15)

  8. 7. What is the product ofand • A. ¡ B. ¡ C. ¡ D. ¡ E.

  9. 8. If then ¡ A. ¡ B. ¡ C. ¡ D. ¡ E.

  10. 9. If, what is the value of the expression ¡ A. 12 ¡ B. 14 ¡ C. 17 ¡ D. 22 ¡ E. 36

  11. 10. For all b¹ 0, ¡ A. 18b ¡ B. 6b ¡ C. 32b2 + 48b ¡ D. 2b2 + 4b ¡ E. 2b + 4

  12. A D B E D A C C B E Answers Algebra Practice Test 1

  13. ¡ A. 14 ¡ B. 46 ¡ C. 54 ¡ D. -46 ¡ E. -54 2x3 – 3xy 2(-2)3 – 3(-2)(5) 2(-8) – 3(-10) -16 – -30 -16+30 = 14 1. If x = -2 and y = 5, what is the value of the expression 2x3 – 3xy ?

  14. ¡ A. -12, -4 ¡ B. -8, -6 ¡ C. 6, 8 ¡ D. -6, 8 ¡ E. -8, 6 Set the equation equal to zero. x2 – 2x = 48 x2 – 2x – 48 = 0 Factor (x + 6)(x – 8) = 0 Write a solution set. x = {-6 , 8} 2. What are the solutions to the quadratic equation x2 – 2x = 48?

  15. ¡ D. ¡ E. ¡ A. ¡ B. ¡ C. 3.Rationalize the denominator.

  16. 3.Rationalize the denominator. Rationalize the denominator means to remove the radical from the bottom of the fraction This is a match for B First simplify the expression. Multiply the top and bottom by a number that will make the denominator a perfect square. Then simplify the denominator to get rid of the radical.

  17. ¡ D. ¡ E. ¡ A. ¡ B. ¡ C. 4. What is the equation of the line that contains the points (-1, 1) and (2 , 7)?

  18. 4. What is the equation of the line that contains the points (-1, 1) and (2 , 7)? First calculate the slope m. Use Slope Intercept Now put m and b together to write the equation. Now find b This is a match for E

  19. 5. For all x ¹ ±3, ¡ A. ¡ B. ¡ C. ¡ D. ¡ E.

  20. 5. For all x ¹ ±3, Rational Expression Factor Cancel This is a match for D

  21. 5y3 – 125y Factor out the common 5y 5y(y2 – 25) Difference of squares 5y(y + 5)(y – 5) 6. Which is the complete factorization of ¡ A. ¡ B. • C. • D. • E.

  22. 7. What is the product ofand • A. ¡ B. ¡ C. ¡ D. ¡ E.

  23. 8. If then ¡ A. ¡ B. ¡ C. ¡ D. ¡ E.

  24. 8. If then Multiply by the reciprocal First convert 3½ to an improper fraction Convert 16/7 to a mixed number This is a match for C

  25. 9. If, what is the value of the expression ¡ A. 12 ¡ B. 14 ¡ C. 17 ¡ D. 22 ¡ E. 36

  26. Rational Expression 10. For all b¹ 0, Factor ¡ A. 18b ¡ B. 6b ¡ C. 32b2 + 48b ¡ D. 2b2 + 4b ¡ E. 2b + 4 Cancel = 2b + 4

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