Test Bank for ALGEBRA & TRIGONOMETRY 5th Edition by Judith A. Beecher

CONTENTS

I. ALTERNATE TESTS, FORMS A, B, C, D, E, and F .......................................................... 1
There are six alternate test forms for each chapter and the final examination. Alternate Test
Forms A, B, C, and D are equivalent in length and difficulty. Synthesis questions occur at
the end of the Test Forms, and are separated from the rest of the test by a solid line.
Synthesis questions are meant to be more challenging than the previous test 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.

Except for proofs of trigonometric identities, questions on Test 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.
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This Instructor’s Testing Manual is designed to accompany Algebra and Trigonometry, 5e,
and Precalculus, 5e by Beecher/Penna/Bittinger.
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Chapter 1 ................................................................................................................................ 1

Chapter 2 .............................................................................................................................. 37
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Chapter 3 .............................................................................................................................. 61

Chapter 4 .............................................................................................................................. 81

Chapter 5 ............................................................................................................................ 105
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Chapter 6 ............................................................................................................................ 133

Chapter 7 ............................................................................................................................ 161
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Chapter 8 ............................................................................................................................ 189

Chapter 9 ............................................................................................................................ 213
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Chapter 10 .......................................................................................................................... 241

Chapter 11 .......................................................................................................................... 277


II. FINAL EXAMINATIONS................................................................................................. 305

III. ANSWER KEYS FOR ALTERNATE TESTS, FORMS A, B, C, D, E, and F ................ 373

IV. ANSWER KEYS FOR FINAL EXAMINATIONS........................................................... 417

Thanks are extended to Mike Penna for producing the graphs and to Kelly Barber for
typing the manuscript.

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iv Copyright ©2016 Pearson Education, Inc.

,CHAPTER 1 NAME_____________________________

TEST FORM A CLASS_____SCORE_____GRADE_____
____________________________________________________________________________

 3
1. Determine whether the ordered pair  − 5,  is a solution of the ANSWERS
 4
equation 3x – 8y = 21. 1.


2. Find the intercepts of 3 x − 2 y = 6
and graph the line. 2.

See graph.
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3.

3. Find the distance between  4, 8 and  –7, 6  .
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4.
4. Find the midpoint of the segment with endpoints 1, 0  and
5, – 8 .
5.
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Find the center and the radius of the circle  x  6  y 2  9 .
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5.

6.
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6. Find an equation of the circle with center  –2, 3 and radius 11 .


7. a) Determine whether the relation  5, 5 ,  4, 4 , 3,  3 , 1, 1 7. a)
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is a function. Answer yes or no. b)
c)
b) Find the domain of the relation.
c) Find the range of the relation.

8. a)
8. Given that f  x   x 2  6 x  2 , find each of the following. b)
a) f  1 b) f  a  3

3 x
9. Given that f  x   , find each of the following. 9. a)
4 x b)
a) f (− 4) b) f (− 3)


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, CHAPTER 1 NAME_____________________________

TEST FORM A
____________________________________________________________________________

ANSWERS 10. Using the graph of f
at the right, find f  3 .
10.




11. a)
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b)

11. Determine whether each graph is that of a function. Answer yes
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or no.
a) b)
12.
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13.
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14.
Find the domain of the function.
2 x
12. f  x  13. g  x   x 3  4 14. h  x   x2  9
4 x
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15. a) See graph.
b) 15. a) Graph: f ( x ) = x − 1 + 4 .
c)




b) Visually estimate the domain of f ( x ) .
c) Visually estimate the range of f ( x ) .

2 Copyright ©2016 Pearson Education, Inc.