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Algebra for Middle School Students Practice Quiz

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Updated on Oct 3, 2011

Algebra for Middle School Students Practice Quiz

The test has 30 questions, and the order of these questions corresponds with the order of the lessons in this book. The questions are very similar to those in the pretest, so you can see your progress and improvement since taking the pretest.

After completing the posttest, check your answers and compare your score, question by question, to your pretest (Introductory Algebra for Middle and High School Students Practice Test). Where did you improve, and where do you need some extra practice? For example, if you got question 15 wrong on the pretest, did you get it right on the posttest? The posttest can help you identify which areas you have mastered and which areas you need to review a bit more.

Quiz

  1. 20n3 – 17n3 =

    a. 3

    b. 3n

    c. 3n2

    d. 3n3

  2. (8r3s2t7)(12s4t5) =

    a. 96s6t12

    b. 96r3s–2t2

    c. 96r3s4t5

    d. 96r3s6t12

  3. What is 12u2 when u = 3?

    a. 9

    b. 36

    c. 108

    d. 1,296

  4. Find the value of –5j + 6(j – 4k) – 8k when j = 2 and k = –1.

    a. 34

    b. 30

    c. 22

    d. –65

5. Which of the following is half the difference between a number and five?
  a. x – 5
  b.
  c. – 5
  d. 5 –
6. Which of the following is a correct factoring of 6a8b2 + 9a5bc5?
  a. 3a5b(2a3b + 3c5)
  b. 3a3b(2a5b2 + 3a5c5)
  c. 3abc(2a7b + 3a4c4)
  d. 6a8b2(1 + 9a5bc5)
7. 6(e–2)–2 =
  a. 6e–4
  b. 6e4
  c. 36e–4
  d. 36e4
8. If 9u = 63, what is the value of u?
  a. –7
  b. 5
  c. 7
  d. 54
9. If f – 8 = g + 12, what is f in terms of g?
  a. g + 4
  b. g – 8
  c. 8g + 12
  d. g + 20
10. What is the value of v in –2(3v + 5) = 14?
  a. –4
  b. –2
  c. 1
  d. 3
11. In the equation – 9 = 3, what is the value of c?
  a. 4
  b. 12
  c. 16
  d. 20
12. What is the value of w in 3√ 12w = 18?
  a. 2
  b. 3
  c. 6
  d. 36
13. Which of the following lines is parallel to the line y = + 1?
  a. y =
  b. y = + 5
  c. y = 8x + 4
  d. y = –8x – 1
14. What value completes the following table?
 
  a. –11
  b. 0
  c. 3
  d. 8
15. Which of the following is the graph of y = –3?
  a.
  Posttest
  b.
  Posttest
  c.
  Posttest
  d.
  Posttest
16. What is the equation of the line graphed below?
  Posttest
  a. y = + 5
  b. y = + 5
  c. y = + 5
  d. y = + 5
17. What is the distance from (–5,4) to (4,–7)?
  a. 10 units
  b. 3√ 10 units
  c. 122 units
  d. 202 units
18. What is the domain of the function y = ?
  a. all real numbers
  b. all real numbers except –1
  c. all real numbers except –8
  d. all real numbers except 8
19. What is the solution to the following system of equations?
5y – 2x = 1
7y + 2x = –13
a. x = 7, y = 3
b. x = –3, y = –1
c. x = 4, y = –3
d. x = –2, y = 1
20. What is the solution set of –8x + 11 < 83?
  a. x > –9
  b. x < –9
  c. x > 9
  d. x < 9
21. What inequality is shown on the following graph?
  Posttest
  a. y ≥ 3x + 1
  b. y > 3x + 1
  c. y < 3x + 1
  d. y ≤ 3x + 1
22. (10x + 4)(5x – 2) =
  a. 50x2 – 8
  b. 50x2 – 20x – 8
  c. 50x2 + 20x – 8
  d. 50x2 + 40x – 8
23. 25x16 – 144 is the product of which factors?
  a. (5x4 + 12)(5x4 – 12)
  b. (5x8 + 12)(5x8 – 12)
  c. (5x8 + 12)(5x8 + 12)
  d. (5x8 – 12)(5x8 – 12)
24. What are the roots of x2 + 7x + 5 = 0?
  a. x = –5, x = –1
  b. x = 5, x = 1
  c. x = –7 + √ 29, x = –7 – √ 29
  d. x = , x =
25. Sherry's farm is 6 acres. She buys one-eighth of Nancy's farm, increasing the size of her farm to 10 acres. What was the size of Nancy's farm?
  a. 4 acres
  b. 16 acres
  c. 32 acres
  d. 128 acres
26. The ratio of students who wear contact lenses to students who wear glasses at Hunter Middle School is 7:2. If the number of students who wear contact lenses is 36 less than four times the number of students who wear glasses, how many students wear glasses?
  a. 36
  b. 72
  c. 144
  d. 252
27. Kara has 10 cans of tomato soup, 8 cans of chicken noodle soup, and 4 cans of mushroom soup, and she will choose one can of soup at random for lunch. How many cans of mushroom soup must she buy to make the probability of selecting a can of mushroom soup ?
  a. 2
  b. 3
  c. 5
  d. 6
28. What number, after a 22.5% decrease, is 93?
  a. 27
  b. 114
  c. 115
  d. 120
29. Find the value of the sixth term of the following geometric sequence:
  x – 8, 2x – 6, –3x, 9x,…
  a. 53
  b. 61
  c. 486
  d. 75
30. The area of a triangle is 45 square inches. If the height is two inches less than four times the base, what is the height of the triangle?
  a. 5 inches
  b. 9 inches
  c. 18 inches
  d. 36 inches
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