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Algebra Practice Test 6: Equations and Operations

A 10-item algebra practice test to assess equation solving, slope calculation, line properties, and polynomial operations. Record answers and check correct solutions for each question.

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Algebra Practice Test 6: Equations and Operations

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  1. COMPASS AlgebraPractice Test 6 • 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. Y = 4X - 7 ¡ B. Y = X - 6 ¡ C. Y = -2X + 5 ¡ D. Y = 4X + 3 ¡ E. Y = 3X + 5 1. Which equation best describes the data in this table?

  3. 2 For all x, ¡ A. 9 ¡ B. 3 ¡ C. 16 ¡ D. 7 ¡ E. 4

  4. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 3

  5. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 4 What is the slope of 3x + 2y = 6?

  6. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 5 Which of these equations defines a line that is perpendicular to the line given by the equation y = 2x + 5?

  7. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 6 In the standard (x, y ) plane, what is the distance between and ?

  8. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 7 What are the (x, y) coordinates of the point of intersection of the lines determined by the equations 2x – 3y = 4 and y = x?

  9. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 8 If  is a special operation defined by (a  b) = 3a – 2b and (6  x) = 8 then x = ?

  10. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 9 12x2 + 11x – 36 is the product of (3x – 4) and another polynomial. What is the other polynomial?

  11. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 10

  12. C A C E D C B D E C Answers Algebra Practice Test 6

  13. ¡ A. Y = 4X - 7 ¡ B. Y = X - 6 ¡ C. Y = -2X + 5 ¡ D. Y = 4X + 3 ¡ E. Y = 3X + 5 1. Which equation best describes the data in this table? Notice that all of the answers are in slope intercept form. We just have to find m and b.

  14. Calculate the slope. Find b. 1Which equation best describes the data in this table? To find b, plug in a point. Use -2 for the slope. Answer C

  15. 2 For all x, ¡ A. 9 ¡ B. 3 ¡ C. 16 ¡ D. 7 ¡ E. 4

  16. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 3

  17. 3 Before addition the fractions must be rewritten with a common denominator. The LCD is 6. Answer C

  18. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 4 What is the slope of 3x + 2y = 6? If we solve for y the number in front of the x is the slope.

  19. 4 What is the slope of 3x + 2y = 6? Solve for y, then the coefficient of x is the slope. Answer E

  20. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 5 Which of these equations defines a line that is perpendicular to the line given by the equation y = 2x + 5?

  21. Perpendicular 1. Identify the slope of the line. 2. Change the sign. 3. Take the reciprocal. 5 Which of these equations defines a line that is perpendicular to the line given by the equation y = 2x + 5? Answer D

  22. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 6. In the standard (x, y ) plane, what is the distance between and ? Use the distance formula.

  23. 6 In the standard (x, y ) plane, what is the distance between and ? Use the distance formula. Answer C

  24. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 7 What are the (x, y) coordinates of the point of intersection of the lines determined by the equations 2x – 3y = 4 and y = x? Notice that x and y have to be the same This eliminates choices C, D, and E.

  25. 7 What are the (x, y) coordinates of the point of intersection of the lines determined by the equations 2x – 3y = 4 and y = x? Solve this system by substitution. Answer B

  26. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 8 If  is a special operation defined by (a  b) = 3a – 2b and (6  x) = 8 then x = ?

  27. 8 If  is a special operation defined by (a  b) = 3a – 2b and (6  x) = 8 then x = ? Answer D

  28. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 9 12x2 + 11x – 36 is the product of (3x – 4) and another polynomial. What is the other polynomial?

  29. 9 12x2 + 11x – 36 is the product of (3x – 4) and another polynomial. What is the other polynomial? Answer E

  30. ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 10

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