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# Introductory Algebra for Middle and High School Students Practice Quiz

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Updated on Oct 3, 2011

## Introductory Algebra for Middle and High School Students Practice Quiz

This test will test your knowledge of basic algebra. You may find the problems toward the beginning of the test easier to solve than the problems toward the end of the test.

For each of the 30 multiple-choice questions, circle the correct answer. The pretest will show you which algebra topics are your strengths and which topics you might need to review—or learn for the first time. Explanations are provided for every question, along with the lesson number that teaches the skills needed to answer the question.

### Quiz

1. 12q6 + 4q6 =

a. 8q6

b. 16

c. 16q6

d. 16q12

2. (–45a4b9c5) ÷ (9ab3c3) =

a. –5a3b6c2

b. –5a4b3c3

c. –5a4b3c2

d. –5a5b12c8

3. What is 10 + 6j when j = –3?

a. –18

b. –8

c. 8

d. 28

4. Simplify –7g6 + 9h + 2h – 8g6.
a. –4g6h
b. –2g6 – 4h
c. –5g6 + h
d. –15g6 + 11h
5. Which of the following is nine less than three times a number?
a. x– 9
b. 9 – 3x
c. 3x – 9
d. 3(x – 9)
6. Which of the following is equal to 12x7 – 24x3?
a. –12x4
b. 12x3(x4 – 2)
c. 12x(x7 – 2x3)
d. 12x(x6 – 2x)
7. (4w9)3 =
a. 4w12
b. 4w27
c. 12w27
d. 64w27
8. What is the value of z in z – 7 = –9?
a. –2
b. –1
c. 2
d. 16
9. If 4n = –28m, what is n in terms of m?
a. –32m
b. –22m
c. –7m
d. 7m
10. If –7k – 11 = 10, what is the value of k?
a. –3
b. –1
c. 2
d. 21
11. What is the value of p in + 13 = p – 2?
a. 6
b. 12
c. 15
d. 18
12. Which of the following is equivalent to 3√o27 ?
a. o3
b. o9
c. o24
d. o81
13. Find the slope of the equation 8y = 16x – 4.
a.
b. 2
c. 8
d. 16
14. What equation was used to build the input/output table below?
a. y = 3x + 4
b. y = 4x – 1
c. y = 5x – 2
d. y = 7x
15. Which of the following is the graph of y = –4x – 3?
a.
b.
c.
d.
16. What is the equation of the line graphed here?
a. y = x + 7
b. y = x – 7
c. y = –x – 7
d. y = –x + 7
17. Find the distance from (–3,–3) to (9,13).
a. 12 units
b. 16 units
c. 20 units
d. 24 units
18. Which of the following is NOT a function?
a. y = x7
b. x = y2
c. x = √ y
d. y = |x|
19. What is the solution to the following system of equations?
4y + x = 7
3y – 2x = 30
a. x = –9, y = 4
b. x = 3, y = 1
c. x = 3, y = 12
d. x = –6, y = 6
20. What inequality is represented by the following graph?
a. x < –4
b. x > –4
c. x ≤ –4
d. x ≥ –4
21. The solution set of what system of inequalities is shown as the darker region on the following graph?
a.
b.
c.
d.
22. (7x – 1)(x + 2) =
a. 7x2 – 2
b. 7x2 + 13x – 2
c. 7x2 + 14x – 2
d. 7x2 – 14x – 2
23. Which of the following shows x2 + 10x + 24 correctly factored?
a. (x + 5)(x + 5)
b. (x + 3)(x + 8)
c. (x + 12)(x + 2)
d. (x + 4)(x + 6)
24. Find the roots of x2 + 6x = 7.
a. x = 7, x = 1
b. x = –7, x = –1
c. x = –7, x = 1
d. x = 7, x = –1
25. Lindsay's bowling score is seven less than three times Jamie's score. If Lindsay's score is 134, what is Jamie's score?
a. 39
b. 41
c. 43
d. 47
26. The ratio of yellow beads to green beads on a necklace is 3:10. If there are 60 yellow beads on the necklace, how many green beads are on the necklace?
a. 70
b. 100
c. 200
d. 600
27. The mean of a set of seven values is 15. If six of the values are 9, 19, 17, 16, 11, and 20, what is the seventh value?
a. 11
b. 13
c. 15
d. 16
28. What is 48 after a 55% increase?
a. 26.4
b. 30.9
c. 69.6
d. 74.4
29. What is the value of the ninth term of the following arithmetic sequence? –3x + 1, x – 7, 2x – 3, 3x + 1,…
a. 53
b. 61
c. 64
d. 75
30. The width of a rectangle is four times its length. If the perimeter of the rectangle is 560 meters, what is the width of the rectangle?
a. 56 m
b. 112 m
c. 224 m
d. 448 m

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