Test Bank - College Mathematics for Business, Economics, Life Sciences, and Social Sciences 14th Edition by Raymond Barnett, Michael Ziegler, All Chapters

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Contents
1 Linear Equations and Graphs 1-1
Exercise 1-1 1-1
Exercise 1-2 1-5
Exercise 1-3 1-11
Chapter 1 Review 1-15

2 Functions 2-1
Exercise 2-1 2-1
Exercise 2-2 2-5
N
Exercise 2-3 2-9
Exercise 2-4 2-16
Exercise 2-5 2-23
Exercise 2-6 2-27
U
Chapter 2 Review 2-34

3 Mathematics of Finance 3-1
Exercise 3-1 3-1
R
Exercise 3-2 3-5
Exercise 3-3 3-13
Exercise 3-4 3-19
Chapter 3 Review 3-27
SE
4 System of Linear Equations; Matrices 4-1
Exercise 4-1 4-1
Exercise 4-2 4-10
Exercise 4-3 4-15
Exercise 4-4 4-29
Exercise 4-5 4-34
Exercise 4-6 4-42
D
Exercise 4-7 4-53
Chapter 4 Review 4-60

5 Linear Equations and Graphs 5-1
O
Exercise 5-1 5-1
Exercise 5-2 5-5
Exercise 5-3 5-11
Chapter 5 Review 5-20
C
6 Simplex Method 6-1
Exercise 6-1 6-1
Exercise 6-2 6-5
Exercise 6-3 6-30
S
Exercise 6-4 6-52
Chapter 6 Review 6-79

7 Logic, Sets, and Counting 7-1
Exercise 7-1 7-1
Exercise 7-2 7-5
Exercise 7-3 7-7
Exercise 7-4 7-13
Chapter 7 Review 7-18




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8 Probability 8-1
Exercise 8-1 8-1
Exercise 8-2 8-6
Exercise 8-3 8-12
Exercise 8-4 8-18
Exercise 8-5 8-26
Chapter 8 Review 8-32

9 Limits and the Derivative 9-1
Exercise 9-1 9-1
Exercise 9-2 9-6
Exercise 9-3 9-13
N
Exercise 9-4 9-20
Exercise 9-5 9-31
Exercise 9-6 9-36
Exercise 9-7 9-41
U
Chapter 9 Review 9-46

10 Additional Derivative Topics 10-1
Exercise 10-1 10-1
Exercise 10-2 10-4
R
Exercise 10-3 10-8
Exercise 10-4 10-15
Exercise 10-5 10-22
Exercise 10-6 10-29
SE
Exercise 10-7 10-36
Chapter 10 Review 10-42

11 Graphing and Optimization 11-1
Exercise 11-1 11-1
Exercise 11-2 11-10
Exercise 11-3 11-24
Exercise 11-4 11-31
D
Exercise 11-5 11-65
Exercise 11-6 11-71
Chapter 11 Review 11-79
O
12 Integration 12-1
Exercise 12-1 12-1
Exercise 12-2 12-6
Exercise 12-3 12-15
C
Exercise 2-4 12-22
Exercise 12-5 12-26
Chapter 12 Review 12-34

13 Additional Integration Topics 13-1
S
Exercise 13-1 13-1
Exercise 13-2 13-9
Exercise 13-3 13-17
Exercise 13-4 13-28
Chapter 13 Review 13-41

14 Multivariable Calculus 14-1
Exercise 14-1 14-1
Exercise 14-2 14-4
Exercise 14-3 14-10



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Exercise 14-4 14-16
Exercise 14-5 14-24
Exercise 14-6 14-30
Exercise 14-7 14-37
Chapter 14 Review 14-46

15 Markov Chains 15-1
Exercise 15-1 15-1
Exercise 15-2 15-8
Exercise 15-3 15-17
Chapter 15 Review 15-27
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Appendix A Basic Algebra Review A-1
Exercise A-1 A-1
Exercise A-2 A-2
Exercise A-3 A-4
U
Exercise A-4 A-6
Exercise A-5 A-9
Exercise A-6 A-10
Exercise A-7 A-14
R
Appendix B Special Topics B-1
Exercise B-1 B-1
Exercise B-2 B-5
Exercise B-3 B-8
SE
Exercise B-4 B-10
D
O
C
S


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1 LINEAR EQUATIONS AND GRAPHS


EXERCISE 1-1

2. 7x − 6 = 5x − 24 4. 3(x + 6) = 5 − 2(x +1)
3x +18 = 5 − 2x − 2
2x = −18
5x = −15
x = −9
x = −3

2x +1 5x
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6. − = 4 (multiply both sides by 6) 8. −3  x  5
3 2
2(2x +1) −15x = 24
4x + 2 −15x = 24
U
−11x = 22
x = −2

10. −6  x  −1 12. x  9 or 9  x  
R
14. [−1, 5) 16. [4, )

18. −8  −4x  12 (divide the inequalities by – 4 and reverse the directions)
SE
2  x  −3 or − 3  x  2
[−3, 2)

m 2 x 5
20. –4= 22. <
3 3 –4 6
Multiply both sides of the equation by 3 to obtain: Multiply both sides by (−4) which will
m − 12 = 2 result in changing the direction of
D
m = 14 the inequality as well.
–20 and simplified we have x > – 10 .
x>
6 3
O
24. –3y + 9 + y = 13 – 8 y 26. −3(4 − x) = 5 − (x + 1)
–2 y + 9 = 13 – 8 y −12 + 3x = 5 − x − 1
6y = 4 −12 + 3x = 4 − x
4 2 12 − 12 + 3x = 12 + 4 − x
C
y= =
6 3 3x = 16 − x
4x = 16
x=4
S
28. x − 2 ≥ 2(x − 5) y
−
y
=
1
30.
x − 2 ≥ 2x − 10 4 3 2
x − 2 + 2 ≥ 2x − 10 + 2 Multiply both sides by 12:
x ≥ 2x − 8 3y − 4y = 6
− x  −8 −y = 6
x≤8 y = −6




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