College algebra 11th edition gustafson test bank

College Algebra, 11e, Chapter 0, Test A 
 
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1.

How many prime numbers are there between –2 and 18 on the number line?
a.
b.
c.
d.
e.
f.

____ 2.

17
0
1
19
7
18

Select the correct representation of the inequality in interval notation.

a.
b.
c.
d.
e.
____ 3.

Simplify the expression.

a.
b.
c.
d.
____ 4.

x15
x29
x6
x-9

Simplify the expression.
(-14x) 0
Write the answer without using exponents.
a.
b.
c.
d.

-14
-1
1
14

1

College Algebra, 11e, Chapter 0, Test A 
 
____ 5.

Simplify the expression.

Write the answer without using negative exponents. Assume that the variable is restricted to those
numbers for which the expression is defined.
a.
b.
c.
d.

____ 6.

Simplify the expression.

Write the answer without using negative exponents. Assume that the variable is restricted to those
numbers for which the expression is defined.
a.
b.
c.
d.

x4
x3
x2
x10

2

College Algebra, 11e, Chapter 0, Test A 
 
____ 7.

Simplify the expression.

Write the answer without using negative exponents. Assume that all variables are restricted to those
numbers for which the expression is defined.
a.

b.

c.

d.

____ 8.

Simplify the expression.

Write the answer without using negative exponents. Assume that all variables are restricted to those
numbers for which the expression is defined.

a.
b.
c.
d.
e.

3


College Algebra, 11e, Chapter 0, Test A 
 
____ 9.

Rationalize the numerator and simplify.

a.
b.
c.
d.
e.

____ 10.

Simplify the radical expression.

a.
b.
c.
d.
e.

4


College Algebra, 11e, Chapter 0, Test A 

 
____ 11.

We can often multiply and divide radicals with different indexes. For example:

Use this idea to write the following expression as a single radical.

a.
b.
c.
d.

____ 12.

Simplify the expression.

a.
b.
c.
d.
e.
f.
____ 13.

-192
67
-64
-66
-128
-24

Simplify the expression. Assume that all variables represent positive numbers, so that no absolute value
symbols are needed.

a.
b.
c.
d.

5


College Algebra, 11e, Chapter 0, Test A 
 
____ 14.

Rationalize the denominator and simplify.

a.
b.
c.
d.
e.
____ 15.

Perform division and write the answer without using negative exponents.

a.

b.

c.

d.

6


College Algebra, 11e, Chapter 0, Test A 
 
____ 16.

Perform the division and write the answer without using negative exponents.

a.
b.
c.
d.

____ 17.

Give the degree of the polynomial.

a.
b.
c.
d.
____ 18.

1/2

0
This is not a polynomial
No defined degree

Perform the operation and simplify.
- 3a 2(a + 1) + 9a(a 2 - 6) - a 2(a + 6)
a.
b.
c.
d.

____ 19.

5a 3 - 9a 2 - 54a
5a 3 - 9a 2 - 54
5a 2 + 9a 4 - 54
0

Multiply the expression as you would multiply polynomials.
(x 17/2 + y 7/2 ) 2
a.
b.
c.
d.

x 17 - 2x 17 y 7 + y 7
x 17 + x 17 y 7 + y 7
x 17 + y 7
x 17 + 2x 17/2 y 7/2 + y 7

7


College Algebra, 11e, Chapter 0, Test A 
 
____ 20.

Factor the expression completely.
4z2 + 28z + 49
a.
b.
c.
d.

____ 21.

(2z + 7) 2
7 (2z + 7)
(2z + 7) (2z - 7)
(2z - 7) 2

Perform the operations and simplify.

Assume that no denominators are 0.
a.
b.
c.
d.
____ 22.

Simplify the fraction.

Assume that denominator is not 0.
a.
b.
c.
d.

8


College Algebra, 11e, Chapter 0, Test A 
 
____ 23.

Perform the operations and simplify.

Assume that no denominators are 0.
a.
b.
c.
d.
____ 24.

Simplify the complex fraction.

Assume that the denominators are not 0.
a.
b.
c.

d.

9


College Algebra, 11e, Chapter 0, Test A 
 
____ 25.

Simplify each complex fraction.

Assume that no denominators are 0.
a.
b.
c.
d.

10


College Algebra, 11e, Chapter 0, Test A 
 

Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.

6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.

ANS: E
ANS: D
ANS: B
ANS: C
ANS: A
ANS: C
ANS: D
ANS: C
ANS: B

ANS: D
ANS: A
ANS: C
ANS: D
ANS: D
ANS: D
ANS: D
ANS: B
ANS: A
ANS: D
ANS: A
ANS: C
ANS: C
ANS: C
ANS: A
ANS: B

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1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
1
1
1
1
1
1
1

11


College Algebra, 11e, Chapter 0, Test B 
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1.

How many prime numbers are there between –6 and 14 on the number line?
a.
b.
c.
d.
e.
f.

____ 2.

19
13
0

14
6
5

Select the correct representation of the inequality in interval notation.

a.
b.
c.
d.
e.
____ 3.

Simplify the expression.

a.
b.
c.
d.
____ 4.

x11
x-1
x10
x15

Simplify the expression.
(-13x) 0
Write the answer without using exponents.
a.

b.
c.
d.

1
13
-13
-1

12


College Algebra, 11e, Chapter 0, Test B 

____ 5.

Simplify the expression.

Write the answer without using negative exponents. Assume that the variable is restricted to those
numbers for which the expression is defined.
a.
b.
c.
d.

____ 6.

Simplify the expression.

Write the answer without using negative exponents. Assume that the variable is restricted to those

numbers for which the expression is defined.
a.
b.
c.
d.

x8
x7
x14
x6

13


College Algebra, 11e, Chapter 0, Test B 

____ 7.

Simplify the expression.

Write the answer without using negative exponents. Assume that all variables are restricted to those
numbers for which the expression is defined.
a.

b.

c.

d.

____ 8.

Simplify the expression.

Write the answer without using negative exponents. Assume that all variables are restricted to those
numbers for which the expression is defined.

a.
b.
c.
d.
e.

14


College Algebra, 11e, Chapter 0, Test B 

____ 9.

Rationalize the numerator and simplify.

a.
b.
c.
d.
e.

____ 10.

Simplify the radical expression.

a.
b.
c.
d.
e.

15


College Algebra, 11e, Chapter 0, Test B 

____ 11.

We can often multiply and divide radicals with different indexes. For example:

Use this idea to write the following expression as a single radical.

a.
b.
c.
d.

____ 12.

Simplify the expression.

a.
b.

c.
d.
e.
f.
____ 13.

-1,250
628
-1,875
-625
-50
-627

Simplify the expression. Assume that all variables represent positive numbers, so that no absolute value
symbols are needed.

a.
b.
c.
d.

16


College Algebra, 11e, Chapter 0, Test B 

____ 14.

Rationalize the denominator and simplify.

a.
b.
c.
d.
e.
____ 15.

Perform division and write the answer without using negative exponents.

a.

b.

c.

d.

____ 16.

Perform the division and write the answer without using negative exponents.

a.
b.
c.
d.

17


College Algebra, 11e, Chapter 0, Test B 

____ 17.

Give the degree of the polynomial.

a.
b.
c.
d.
____ 18.

0
No defined degree
1/2
This is not a polynomial

Perform the operation and simplify.
- 3a 2(a + 1) + 6a(a 2 - 4) - a 2(a + 10)
a.
b.
c.
d.

____ 19.

0
2a 3 - 13a 2 - 24
2a 3 - 13a 2 - 24a
2a 2 + 13a 4 - 24

Multiply the expression as you would multiply polynomials.
(x 7/2 + y 9/2 ) 2
a.
b.
c.
d.

____ 20.

x 7 + 2x 7/2 y 9/2 + y 9
x 7 - 2x 7 y 9 + y 9
x7 + x7y9 + y9
x7 + y9

Factor the expression completely.
36z2 + 84z + 49
a.
b.
c.
d.

(6z + 7) 2
(6z - 7) 2
(6z + 7) (6z - 7)
7 (6z + 7)

18


College Algebra, 11e, Chapter 0, Test B 

____ 21.

Perform the operations and simplify.

Assume that no denominators are 0.
a.
b.
c.
d.
____ 22.

Simplify the fraction.

Assume that denominator is not 0.
a.
b.
c.
d.

19


College Algebra, 11e, Chapter 0, Test B 

____ 23.

Perform the operations and simplify.

Assume that no denominators are 0.

a.
b.
c.
d.
____ 24.

Simplify the complex fraction.

Assume that the denominators are not 0.
a.
b.
c.
d.

20


College Algebra, 11e, Chapter 0, Test B 

____ 25.

Simplify each complex fraction.

Assume that no denominators are 0.
a.
b.
c.
d.

21

College Algebra, 11e, Chapter 0, Test B 

Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.

25.

ANS: E
ANS: B
ANS: D
ANS: A
ANS: A
ANS: D
ANS: A
ANS: B
ANS: B
ANS: B
ANS: B
ANS: D
ANS: B
ANS: D
ANS: D
ANS: C
ANS: A
ANS: C
ANS: A
ANS: A
ANS: B
ANS: B
ANS: B
ANS: A
ANS: A

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1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

22


College Algebra, 11e, Chapter 0, Test C 
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1.

How many prime numbers are there between –5 and 20 on the number line?
a.

b.
c.
d.
e.
f.

____ 2.

0
4
19
24
20
8

Select the correct representation of the inequality in interval notation.

a.
b.
c.
d.
e.
____ 3.

Simplify the expression.

a.
b.
c.
d.

____ 4.

x-8
x6
x14
x28

Simplify the expression.
(-4x) 0
Write the answer without using exponents.
a.
b.
c.
d.

1
4
-4
-1

23


College Algebra, 11e, Chapter 0, Test C 

____ 5.

Simplify the expression.

Write the answer without using negative exponents. Assume that the variable is restricted to those

numbers for which the expression is defined.
a.
b.
c.
d.

____ 6.

Simplify the expression.

Write the answer without using negative exponents. Assume that the variable is restricted to those
numbers for which the expression is defined.
a.
b.
c.
d.

x16
x6
x7
x8

24


College Algebra, 11e, Chapter 0, Test C 

____ 7.

Simplify the expression.

Write the answer without using negative exponents. Assume that all variables are restricted to those
numbers for which the expression is defined.
a.

b.

c.

d.

____ 8.

Simplify the expression.

Write the answer without using negative exponents. Assume that all variables are restricted to those
numbers for which the expression is defined.

a.
b.
c.
d.
e.

25