NAME
DATE
5
PERIOD
Chapter 5 Test, Form 2B
SCORE
Write the letter for the correct answer in the blank at the right of each question.
1. Simplify (3x0y4)(2x2y)3.
A 24x6y7
B 216x6y5
2x2y5z4
8x yz
C 24x5
D 6x6y7
1.
A
2.
H
3.
A
4.
J
5.
C
6.
H
7.
C
. Assume that no variable equals 0.
2. Simplify −
6
3
y4z7
4x
y4z2
6x
G −4
F −4
y4z
4x
y 4z 7
6x
H −4
J −
4
3. Maria is simplifying the expression (x3 - 6x)(2x3 + 5x - 1). Which of the
following shows the correct product?
A 2x6 - 7x4 - x3 - 30x2 + 6x
C 2x9 - 8x3 - 30x2 + 6x
B 2x9 - 7x4 - 11x3 - 30x2 + 6x
D 2x6 + 5x4 - x3 - 11x2 - 6x
4. Simplify (7x3 - 2x2 + 3) + (x2 - x - 5).
F 7x3 - 2x2 - x - 2
H 7x3 - 3x2 - 2
G 8x5 - 3x3 - 2
J 7x3 - x2 - x - 2
A 25x2 - 16
C 25x2 - 40x + 16
B 25x2 - 20x + 16
D 25x2 - 18x + 16
6. Simplify (6x3 - 16x2 + 11x - 5) ÷ (3x - 2).
9
F 6x2 - 12x + 3 - −
3x - 2
1
G 2x2 - 4x + 1 - −
3x - 2
3
H 2x2 - 4x + 1 - −
3x - 2
9
J x2 + 8x - 3 - −
3x - 2
7. Which represents the correct synthetic division of (3x3 - 2x + 5) ÷ (x - 2)?
A
2
3
3
B
-2
3
3
-2
6
4
5
8
13
C
-2
-6
-8
5
16
21
D
2
3
3
-2
3
3
0
6
6
-2
12
10
5
20
25
0
-6
-6
-2
12
10
5
-20
-15
8. Factor 27x3 - 1 completely.
F (3x - 1)(9x2 + 3x + 1)
H (3x - 1)(9x2 - 3x - 1)
G (3x - 1)3
J (3x - 1)(9x2 - 3x + 1)
8.
F
C -184
9.
C
9. Find p(-3) if p(x) = 4x3 - 5x2 + 7x - 10.
A -94
Chapter 5
B 32
65
D -142
Glencoe Algebra 2
Assessment
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
5. Simplify (5x - 4)2.
NAME
5
DATE
Chapter 5 Test, Form 2B
PERIOD
(continued)
10. If r(x) = 4x2 - 3x + 7, find r(3a2).
F 36a4 - 9a2 + 7
H 144a4 - 9a2 + 7
G 36a4 + 9a2 + 7
J 12a4 - 9a2 + 7
11. State the number of real zeros for the function
whose graph is shown.
A 1
C 3
B 4
D 2
10.
F
11.
D
12.
F
13.
B
f(x)
x
O
For Questions 12 and 13, use the graph shown.
12. Determine the values of x between which a real
zero is located.
F between -2 and -1
H between 0 and 1
G between -1 and 0
J between -3 and -2
13. Estimate the x-coordinate at which a relative
minimum occurs.
A -1
B 0
C 1
6
f(x)
4
2
-2
-4
O
2
4x
-2
D 2
14. Write the expression 9n6 + 7n3 - 6 in quadratic form, if possible.
H 9(n2)3 + 7(n2) - 6
G 9(n3)2 + 7(n3) - 6
J not possible
14.
G
C -2, 2, -i √
6 , i √
6
, √6
D -2i, 2i, - √6
15.
C
16.
G
17.
C
18.
F
D exactly 3
19.
B
J -1, 3, 7
20.
F
15. Solve b4 + 2b2 - 24 = 0.
A -2, - √
6 , √
6, 2
B - √
6 , 2, 2i, i √6
16. Use synthetic substitution to find f(-3) for f(x) = x4 - 4x3 + 2x2 - 4x + 6.
F 9
G 225
H 201
J -15
17. One factor of x3 + 2x2 - 11x - 12 is x + 4. Find the remaining factors.
A x + 1, x + 3
B x - 1, x + 3
C x + 1, x - 3
D x - 1, x - 3
18. Which describes the number and type of roots of the equation x3 + 121x = 0?
F 1 real root, 2 imaginary roots
H 2 real roots, 1 imaginary root
G 3 real roots
J 3 imaginary roots
19. State the possible number of imaginary zeros of
g(x) = x4 + 3x3 + 7x2 - 6x - 13.
A 3 or 1
B 2 or 0
C exactly 1
20. Find all the rational zeros of g(x) = 2x3 - 11x2 + 8x + 21.
7
F -1, 3, −
2
7
G ±1, ±3, ±−
2
H -1, 3
Bonus Factor x2z2 + 36y2 - 4y2z2 - 9x2 completely.
Chapter 5
66
(z + 3)(z - 3)
B: (x + 2y)(x - 2y)
Glencoe Algebra 2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
F 9(n3)3 + 7(n3) - 6