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Introductory Algebra 2 Practice Test

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Updated on Oct 27, 2011

Introductory Algebra II Practice Test

Directions

By taking this test, you will get an idea of how much you already know and how much you need to learn about advanced algebra.

This test consists of 50 questions and should take about one hour to complete. You should not use a calculator when taking this pretest; however, you may use scratch paper for your calculations. You will also need graph paper.

When you have completed this test, compare your answers to the answers at the end of this section. If your answers differ from the correct answers, use the explanations given to retrace your calculations.

Practice

  1. Given the parabola y = 3x2 – 3x + 1, what is its vertex?
  2. What is the line of symmetry of the parabola with equation y = 2x2 + 16x + 1?
  3. What is the line of symmetry of the parabola with equation y = 3x2?
  4. a3(a3) =
  5. What is the value of ((xy)y)x if x = 2 and y = –x?
  6. If g, what is the value of g?
  7. If , what is the value of m in terms of n?
  8. Graph the inequality: x > 5
  9. Graph the inequality: y < –4
  10. Graph the following inequality: –4x + 2y ≥ 6
  11. Graph the following linear equation: y = x + 4
  12. Graph the following linear equation: y = 2x + 3
  13. Use scratch paper and graph paper to solve the following system of inequalities:

    y < x + 2

    y < –x + 4

  14. Use scratch paper and graph paper to solve the following system of inequalities:

    x + y > 5

    –2x + y > 3

  15. Find the two possible values of x that make this equation true: (x + 4)(x – 2) = 0
  16. Solve for x: 2x2 – 33 = –1
  17. If 6√d – 10 = 32, what is the value of d?
  18. Each term in the following sequence is more than the previous term. What is the eighth term of the sequence?

  19. Each term in the following sequence is seven less than the previous term. What is the value of xy?

    12, 5, x, y, –16, . . .

  20. Each term in the following sequence is times the previous term. What is the seventh term of the sequence?

  21. Each term in the following sequence is five times the previous term. What is the 20th term of the sequence?

Use the following matrix to answer questions 25 and 26.

  1. Find A + B.
  2. Find AB.
  3. Each term in the following sequence is nine less than the previous term. What is the ninth term of the sequence?
  4. 101, 92, 83, 74, . . .

  5. Each term in the following sequence is six more than the previous term. What is the value of x + z?
  6. x, y, z, 7, 13, . . .

  7. Each term in the following sequence is more than the previous term. What is the value of a + b + c + d?
  8. 2, a, b, 3, c, d, 4, . . .

  9. Each term in the following sequence is –2 times the previous term. What is the seventh term of the sequence?
  10. 3, –6, 12, –24, . . .

  11. Given the following equations, what is the value of x?
  12. 2x + y = 6

  13. Given the following equations, what is the value of b?
  14. 5a + 3b = –2

    5a – 3b = –38

  15. Given the following equations, what is one possible value of y?
  16. xy = 32

    2xy = 0

  17. Given the following equations, what is the value of x?
  18. 3(x + 4) – 2y = 5

    2y – 4x = 8

  19. Given the following equations, what is the value of b?
  20. b + a = 13

  21. Given the following equations, what is the value of y?
  22. 3x + 7y = 19

  23. Given the following equations, what is the value of n?
  24. 2(m + n) + m = 9

    3m – 3n = 24

  25. Given the following equations, what is the value of b?
  26. 9a – 2(b + 4) = 30

    4.5a – 3b = 3

  27. Given the following equations, what is one possible value of p?
  28. 4pq – 6 = 10

    4p – 2q = –14

  29. Given the following equations, what is the value of a?
  30. 7(2a + 3b) = 56

    b + 2a = –4

  31. Given the following equations, what is the value of y?
  32. –4x – 15y = 10

  33. Simplify the polynomial: 9a + 12a2 – 5a.
  34. Simplify the polynomial: .
  35. Simplify the polynomial: .
  36. Simplify the polynomial: (2x2)(4y2) + 6x2y2.
  37. If a – 12 = 12, a = ?
  38. If 6p ≥ 10, find the value of p.
  39. If x + 10 = 5, x = ?
  40. If –3n < 12, find the value of n.
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