College Algebra: Graphs and Models
ST
– 6th Edition
UV
TEST BANK
IA
_A
PP
Judith A. Beecher
Judith A. Penna
RO
Marvin L. Bittinger
VE
Comprehensive Test Bank for Instructors and
D?
Students
??
© Judith A. Beecher, Judith A. Penna & Marvin L. Bittinger
All rights reserved. Reproduction or distribution without permission is prohibited.
©STUDYSTREAM
, CONTENTS
This Online Test Bank is designed to accompany College Algebra: Graphs and
ST
Models, 6e by Bittinger/Beecher/Ellenbogen/Penna.
There are six alternate forms for each chapter test and the final examination. Alternate
Forms A, B, C, and D are equivalent in length and difficulty. Synthesis questions occur
UV
at the end of the Form, and are separated from the rest of the questions by a solid line.
Synthesis questions are meant to be more challenging than the previous questions, like
those problems found in the last part of each exercise set in the text. The synthesis
questions have been placed at the end to make it easy to omit them if the instructor
wishes to do so.
IA
All questions on Forms E and F are multiple choice. Effort was made to make the
wrong answers as logically wrong as possible. In most cases answers were constructed
to avoid students doing backward reasoning.
_A
I. ALTERNATE TESTS, FORMS A, B, C, D, E, and F....................................................1
Chapter 1 .........................................................................................................................1
Chapter 2 .......................................................................................................................37
PP
Chapter 3 .......................................................................................................................61
Chapter 4 .......................................................................................................................81
Chapter 5 .....................................................................................................................105
Chapter 6 .....................................................................................................................133
RO
Chapter 7 .....................................................................................................................161
Chapter 8 .....................................................................................................................185
II. FINAL EXAMINATIONS, FORMS A, B, C, D, E, and F.........................................213
VE
III. ANSWER KEYS FOR ALTERNATE TESTS AND FINAL EXAMINATIONS.....265
D?
Thanks are extended to Jennifer Blue for checking the accuracy of the manuscript, to Mike Penna
for producing the graphs, and to Kelly Barber for keying the manuscript.
??
, CHAPTER 1 NAME_____________________________
TEST FORM A CLASS_____SCORE_____GRADE_____
ST
______________________________________________________________________________
1 3
1. Determine whether the ordered pair , − is a solution of the ANSWERS
2 4
equation 4 x − 5 = 4 y . 1.
UV
2. Find the intercepts of x − 4 y = 4 2.
and graph the line.
IA
See graph.
3.
_A
3. Find the distance between (4, − 6) and (−7, − 9) . 4.
PP
4. Find the midpoint of the segment with endpoints (4, − 6) and 5.
(−3, − 12) .
6.
Find the center and the radius of the circle x 6 y 9 .
2 2
5.
RO
7. a)
6. Find an equation of the circle with center (−8, − 4) and radius 6.
b)
5, 5 , 4, 4 , 3, 3 , 1, 1
VE
7. a) Determine whether the relation c)
is a function. Answer yes or no.
b) Find the domain of the relation. 8. a)
c) Find the range of the relation.
D?
b)
8. Given that f ( x) = x 2 + 3 x − 4 , find each of the following.
a) f (−2) b) f (a + 5) 9. a)
4+ x
??
9. Given that f ( x) = , find each of the following. b)
2x
a) f (−2) b) f (0)
Copyright ©2017 Pearson Education, Inc. 1
, CHAPTER 1 NAME_____________________________
TEST FORM A
ST
_____________________________________________________________________________
ANSWERS 10. Using the graph, find f (0) .
UV
10.
11. a)
IA
b) 11. Determine whether each graph is that of a function.
Answer yes or no.
a) b)
_A
12.
PP
13.
RO
Find the domain of the function.
4
14. 12. f ( x) = 13. g ( x ) = x 3 − 4 14. h ( x ) = x 2 − 16
x−2
VE
15. a) Graph: f ( x ) = x + 3 − 2 .
15. a) See graph. b) Visually estimate the
domain of f ( x) .
b) c) Visually estimate the
D?
range of f ( x) .
c)
??
2 Copyright ©2017 Pearson Education, Inc.
ST
– 6th Edition
UV
TEST BANK
IA
_A
PP
Judith A. Beecher
Judith A. Penna
RO
Marvin L. Bittinger
VE
Comprehensive Test Bank for Instructors and
D?
Students
??
© Judith A. Beecher, Judith A. Penna & Marvin L. Bittinger
All rights reserved. Reproduction or distribution without permission is prohibited.
©STUDYSTREAM
, CONTENTS
This Online Test Bank is designed to accompany College Algebra: Graphs and
ST
Models, 6e by Bittinger/Beecher/Ellenbogen/Penna.
There are six alternate forms for each chapter test and the final examination. Alternate
Forms A, B, C, and D are equivalent in length and difficulty. Synthesis questions occur
UV
at the end of the Form, and are separated from the rest of the questions by a solid line.
Synthesis questions are meant to be more challenging than the previous questions, like
those problems found in the last part of each exercise set in the text. The synthesis
questions have been placed at the end to make it easy to omit them if the instructor
wishes to do so.
IA
All questions on Forms E and F are multiple choice. Effort was made to make the
wrong answers as logically wrong as possible. In most cases answers were constructed
to avoid students doing backward reasoning.
_A
I. ALTERNATE TESTS, FORMS A, B, C, D, E, and F....................................................1
Chapter 1 .........................................................................................................................1
Chapter 2 .......................................................................................................................37
PP
Chapter 3 .......................................................................................................................61
Chapter 4 .......................................................................................................................81
Chapter 5 .....................................................................................................................105
Chapter 6 .....................................................................................................................133
RO
Chapter 7 .....................................................................................................................161
Chapter 8 .....................................................................................................................185
II. FINAL EXAMINATIONS, FORMS A, B, C, D, E, and F.........................................213
VE
III. ANSWER KEYS FOR ALTERNATE TESTS AND FINAL EXAMINATIONS.....265
D?
Thanks are extended to Jennifer Blue for checking the accuracy of the manuscript, to Mike Penna
for producing the graphs, and to Kelly Barber for keying the manuscript.
??
, CHAPTER 1 NAME_____________________________
TEST FORM A CLASS_____SCORE_____GRADE_____
ST
______________________________________________________________________________
1 3
1. Determine whether the ordered pair , − is a solution of the ANSWERS
2 4
equation 4 x − 5 = 4 y . 1.
UV
2. Find the intercepts of x − 4 y = 4 2.
and graph the line.
IA
See graph.
3.
_A
3. Find the distance between (4, − 6) and (−7, − 9) . 4.
PP
4. Find the midpoint of the segment with endpoints (4, − 6) and 5.
(−3, − 12) .
6.
Find the center and the radius of the circle x 6 y 9 .
2 2
5.
RO
7. a)
6. Find an equation of the circle with center (−8, − 4) and radius 6.
b)
5, 5 , 4, 4 , 3, 3 , 1, 1
VE
7. a) Determine whether the relation c)
is a function. Answer yes or no.
b) Find the domain of the relation. 8. a)
c) Find the range of the relation.
D?
b)
8. Given that f ( x) = x 2 + 3 x − 4 , find each of the following.
a) f (−2) b) f (a + 5) 9. a)
4+ x
??
9. Given that f ( x) = , find each of the following. b)
2x
a) f (−2) b) f (0)
Copyright ©2017 Pearson Education, Inc. 1
, CHAPTER 1 NAME_____________________________
TEST FORM A
ST
_____________________________________________________________________________
ANSWERS 10. Using the graph, find f (0) .
UV
10.
11. a)
IA
b) 11. Determine whether each graph is that of a function.
Answer yes or no.
a) b)
_A
12.
PP
13.
RO
Find the domain of the function.
4
14. 12. f ( x) = 13. g ( x ) = x 3 − 4 14. h ( x ) = x 2 − 16
x−2
VE
15. a) Graph: f ( x ) = x + 3 − 2 .
15. a) See graph. b) Visually estimate the
domain of f ( x) .
b) c) Visually estimate the
D?
range of f ( x) .
c)
??
2 Copyright ©2017 Pearson Education, Inc.