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Algebra Practice Test 1 - Compass

This practice test includes 10 items for algebra review. Record answers on paper, then check for correct solutions provided. Advance through questions with a click or spacebar.

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Algebra Practice Test 1 - Compass

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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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