Name _______________________________________ Date __________________ Class __________________
Chapters 7 through 8 RV
Select the best answer.
3
2
8. Simplify   .
3
2
1. Simplify 9 .
A 81
B 
C
1
81
2. Simplify
a2b 4
completely.
c 3
a 2b 4
c3
C
1
a b c
D
b 4c 3
a2
9
4
B
4
9
D
27
8
a3
b2
G x3y
x
y4
a
b
7. Simplify (x2y4)3.
F x6y12
G x6y7
B. 2x2  5x3  4x  3
12. Add (4x3  2x)  (8x3  5x  4).
A 12x3  3x  4
B 12x3  7x  4
C x2y2
C 12x3  3x  4
D 12x3  7x  4
6
x
y4
C 27
D 729
C. 5x3  2x2 4x+3
6.Simplify x3y4x2.
5
.
A. 3 + 4x+2x2  5x3
H m2n4
J
3
814
11. Write the polynomial in standard form.
2x2  5x3  4x  3?
5. Which expression below is NOT simplified?
B
C
10. What is the degree of 5x2y3  2x2?
F 2
H 6
G 5
J 7
4. What is the value of 6.73  106?
A 673,000
B 6,730,000
C 67,300,000
D 673,000,000
A
8
27
9. Simplify
A 3
B 9
2 4 3
3. What is 0.0001 as a power of 10?
F 106
H 104
G 105
J 103
F
A
D 81
A a2b4c3
B
1
81
D xy
13. Subtract (9x4  x2)  (6x4  3x2  8).
F 3x4  2x2  8
G 3x4  2x2  8
H x5y7
J x5y12
H 3x4  4x2  8
J 3x4  4x2  8
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125
Holt McDougal Algebra 1
Name _______________________________________ Date __________________ Class __________________
22. What is the correct factorization of
3x 2  14x  8?
14. Multiply 2xy(x3  3y2).
F 2x4y  6xy3
G 2x3y  6xy2
H 2x4y  6xy3
J 2x3y  6xy3
A (3x  4) (x  2) C (3x  8) (x  1)
B (3x  2) (x  4) D (3x  1) (x  8)
23. What is the correct factorization of
2x 2  3x  5?
15. Multiply (x  4)(x  3).
A x2  7x  12
B x2  x  12
C x2  x  12
D x2  7x  12
F (2x  5) (x  1) H (2x  1) (x  5)
G (2x  5) (x  1) J (2x  1) (x  5)
24. Which of the following binomials is a
difference of squares?
16. The length of a rectangle is 5 less than
the width. Which polynomial describes
the area of the rectangle?
A w2  5w
C 5w2
B w2  5w
D 5w2  5
F x2  6
H 4x 2  1
G 5x 2  10
J x 2  25
25. What is the complete factorization of
25x 2  36?
17. Multiply (x – 3)2
A) x 2 – 9
C) x 2 – 6x – 9
A (5x  6) (5x  6)
B) x 2 + 9
D) x 2 – 6x + 9
B (5x  6) (5x  6)
C (5x  6) (5x  6)
D (6x  5) (6x  5)
18. What is the GCF of 10x 2 and 15x?
F 5
H 10
G 5x
J 10x
1. C
5. H
9. C
13. H
17. D
21. H
25. C
19. What is the complete factorization of
8y 3  4y 2  10y?
F y 3(8  4y  10y)
G y(8y 2  4y  10)
2. D
3. H
4.
6. A
7. F
8.
10. G
11. C
14. F
15. C
18. G
19. J
22. B
23. F
B
D
12. A
16. B
20. C
24. H
H 2(4y 3  2y 2  5y)
J 2y(4y 2  2y  5)
20.What is the correct factorization of
x 2  13x  30?
A (x  1) (x  30) C (x  3) (x  10)
B (x  2) (x  15) D (x  5) (x  6)
21. What is the correct factorization of
x 2  11x  18?
F (x  2) (x  9)
H (x  2) (x  9)
G (x  2) (x  9)
J (x  2) (x  9)
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Holt McDougal Algebra 1