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# Algebra II Practice Test

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Updated on Oct 27, 2011

## Algebra II Practice Test

#### Directions

The test has 50 questions covering the topics you studied in this book. Although the format of the test is similar to that of the Introductory Algebra II Practice Test, the questions are different.

Take as much time as you need to complete the test. When you are finished, check your answers with the answer key at the end of the section. Once you know your score on the test, compare the results with the introductory test. If you scored better on the test than on the introductory test, congratulations! You have profited from the hard work. At this point, you should look at the questions you missed, if any. Do you know why you missed the question, or do you need to go back to the chapter and review the concept?

If your score on the test doesn't show much improvement, take a second look at the questions you missed. Did you miss a question because of an error you made? If you can figure out why you missed the question, then you understand the concept and just need to concentrate more on accuracy when taking a test. If you missed a question because you did not know how to work a problem, go back to the chapter and spend time working that type of problem. Take time to understand algebra thoroughly. You need a solid foundation in algebra in order to succeed on tests or progress to a higher level of algebra. Whatever your score on this test, keep this book for review and future reference.

#### Test

1. Given the parabola y = 2x2 – 8x + 1, what is its vertex?
2. What is the vertex of the parabola with equation y = 2x2 + 16x?
3. What is the vertex of the parabola with equation y = 5x2?
4. Each term in the following sequence is nine more than the previous term. What is the value of yx?

81, 36, x, y, …

5. Each term in the following sequence is 20 less than five times the previous term. What is the value of x + y?

x, 0, y, –120, …

6. Each term in the following sequence is two less than the previous term. What term of the sequence will be the first term to be a negative number?

256, 126, 61, 28.5, …

7. Each term in the following sequence is 16 more than –4 times the previous term. What is the value of x + y?

x, y, –80, 336, –1,328,…

8. Solve for c: 5√c + 15 = 35
9. ((4g2)3(g4))=
10. If a = 6, then a=
11. If (√p)4= q–2, and q= – what is one possible value of p?
12. What is the value of (ab)ab if a = and b = 9?
13. If n = 20, what is the value of
14. If a is positive, and a2 = b = 4, what is the value of
15. Graph the following inequality:

xy > 5

16. Graph the following inequality:

3xy < 2

17. Graph y = 3x – 2.
18. Use scratch paper and graph paper to solve the following system of inequalities.

6x + 3y < 9

x + y ≤ –4

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

y ≥ 6

x + y < 3

20. Graph the following inequality:

x ≤ –2

21. Graph the following inequality:

y ≥ 0

22. Which coordinate pair is a solution to the inequality 12 –3y > 6x + 3?
1. (1,1)
2. (2,1)
3. (1,2)
4. (–1,–2)
5. (2,–1)
23. Simplify (2x4)(–3x)2.
24. Multiply the two monomials (–7xy3)(8x2y4).
25. Factor 24 a2b3 – 32 ab 4.
26. Factor x2x – 12.
27. If 9a + 5 = –22, what is the value of a?
28. Multiply (–6p3q)2(–2pq5).
29. Multiply the binomials (2x + 3)(x –6).
30. Multiply the binomials (3a – 4b)(4a + 3b).
31. Factor 18 a2b2c2 + 54 a3b2c3.
32. A function is a special kind of relation in which
1. no range value is repeated because the function would fail the vertical line test.
2. each member of the range corresponds with exactly one member of the domain.
3. each member of the domain corresponds with exactly one member of the range.
4. each member of the domain corresponds with at least two members of the range.
33. Which of the following statements accurately reflects the inequality 2x – 4 < 7(x – 2)?
1. Seven and the quantity two less than a number is greater than four less than two times the number.
2. The product of seven and the quantity two less than a number is greater than four less than two times the number.
3. The product of seven and the quantity two less than a number is less than four less than two times the number.
4. The product of seven and the quantity two less than a number is greater than four less than two more than the number.
34. Factor the trinomial x2 – 10 + 24.
35. For the equation f(x) = |x| + 3, what is the range?
36. Each term in the following sequence is –4 times the previous term. What is the value of xy?

x, y, –64, 256, …

37. Each term in the following sequence is three times the previous term. What is the product of the 100th and 101st terms of the sequence?

1, 3, 9, 27, …

38. Each term in the following sequence is two less than three times the previous term. What is the next term of the sequence?

–1, –5, –17,–53, …

39. Each term in the following sequence is equal to the sum of the two previous terms.

a, b, c, d, e, f, …

All of the following are equal to the value of d EXCEPT

1. ec
2. b + c
3. a + 2b
4. e – 2b
5. fe
6.

40. Given the following system of equations, what is one possible value of m?

m(n + 1) = 2

mn = 0

41. Given the following system of equations, what is the value of ?

–2 = 0

c – 6d = 0

42. Given the following system of equations, what is the value of a + b?

4a + 6b = 24

6a – 12b = – 6

43. Given the following system of equations, what is the value of xy?

–2y = 14

2x + 6y= –6

44. Find the value of the inequality 3x – 6 ≤ 4(x + 2) in terms of x.
45. If 6x – 4x + 9 = 6x + 4 – 9, what is the value of x?
46. What is the solution set for the inequality –8(x + 3) ≤ 2(–2x + 10)?
47. If + 9 = 15, what is the value of c?

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