Solution Manual for Beginning and Intermediate Algebra with Applications & Visualization 4th Edition by Gary K. Rockswold – Complete Step-by-Step Answers.

INSTRUCTOR’S SOLUTIONS
MANUAL
DAVID ATWOOD
Rochester Community and Technical College



BEGINNING AND
I NTERMEDIATE A LGEBRA
WITH A PPLICATIONS AND
V ISUALIZATION
F OURTH E DITION
Gary Rockswold
Minnesota State University, Mankato
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Terry Krieger
Rochester Community and Technical College
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Jessica Rockswold
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, Table of Contents


Chapter 1 Introduction to Algebra 1
Chapter 2 Linear Equations and Inequalities 51
Chapter 3 Graphing Equations 115
Chapter 4 Systems of Linear Equations in Two Variables 199
Chapter 5 Polynomials and Exponents 253
Chapter 6 Systems of Equations and Inequalities 305
Chapter 7 Rational Expressions 357
Chapter 8 Introduction to Functions 433
Chapter 9 Systems of Linear Equations 503
Chapter 10 Radical Expressions and Functions 539
Chapter 11 Quadratic Functions and Equations 599
Chapter 12 Exponential and Logarithmic Functions 673
Chapter 13 Conic Sections 729
Chapter 14 Sequences and Series 769
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, Section 1.1: Numbers, Variables, and Expressions 1

Chapter 1: Introduction to Algebra


Section 1.1: Numbers, Variables, and Expressions
1. natural
2. 0
3. 1
4. composite
5. factors
6. formula
7. variable
8. equal sign
9. sum
10. product
11. quotient
12. difference
13. Yes, the population of a country could be described by the whole numbers because we cannot have a
fraction of a person.
14. No, the cost of a gallon of gas could not be described by the whole numbers because the cost of a
gallon of gas is not usually an even dollar amount.
15. No, a student’s grade point average could not be described by the whole numbers because a grade
point average usually contains a decimal point.
16. No, the Fahrenheit temperature in Antarctica could not be described by the whole numbers because a
temperature reading contains a decimal point.
17. Yes, the number of apps stored on an iPad could be described by the whole numbers because the
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number of apps does not contain a fraction or a decimal point.
18. Yes, the number of students in a class could be described by the whole numbers because we cannot
have a fraction of a person.
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19. No, the winning time in a 100-meter sprint, could not be described by the whole numbers because the
winning time would be expressed in the number of seconds plus a fraction of an seconds.
20. Yes, the number of bald eagles living in the United States could be described by the whole numbers
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because we cannot have a fraction of an eagle.
21. The number 4 is a composite number because it has factors other than itself and 1; 4  2  2.
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22. The number 36 is a composite number because it has factors other than itself and 1; 36  2  2  3  3.
23. The number 1 is neither a prime nor a composite number.
24. The number 0 is neither a prime nor a composite number.
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25. The number 29 is a prime number because its only factors are itself and 1.
26. The number 13 is a prime number because its only factors are itself and 1.
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, 2 Chapter 1 Beginning and Intermediate Algebra

27. The number 92 is a composite number because it has factors other than itself and 1; 92  2  2  23.
28. The number 69 is a composite number because it has factors other than itself and 1; 69  3  23.
29. The number 225 is a composite number because it has factors other than itself and 1; 225  3  3  5  5.
30. The number 900 is a composite number because it has factors other than itself and 1;
900  2  2  3  3  5  5.
31. The number 149 is a prime number because its only factors are itself and 1.
32. The number 101 is a prime number because its only factors are itself and 1.
33. 6  2  3
34. 8  2  2  2
35. 12  2  2  3
36. 20  2  2  5
37. 32  2  2  2  2  2
38. 100  2  2  5  5
39. 39  3 13
40. 51  3 17

41. 294  2  3  7  7
42. 175  5  5  7
43. 300  2  2  3  5  5
44. 455  5  7 13
45. The value of the expression 3 x, when x  5, is 3 x  3  5   15.

46. The value of the expression x  10, when x  8, is x  10  8  10  18.

47. The value of the expression 9  x, when x  4, is 9  x  9  4  5.

48. The value of the expression 13 x, when x  0, is 13 x  13  0   0.
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x x 32
49. The value of the expression , when x  32, is   4.
8 8 8
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5 5 5 5
50. The value of the expression , when x  8, is    1.
x 3 x 3 83 5
51. The value of the expression 3  x  1 , when x  5, is 3  x  1  3  5  1   3 6   18.

52. The value of the expression 7  6  x  , when x  3, is 7  6  x   7  6  3   7  3  21.
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x x 6
53. The value of the expression  1, when x  6, is  1   1  3  1  4.
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2 2 2
6 6 6
54. The value of the expression 3  , when x  2, is 3   3   3  3  0.
x x 2
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55. When x  8 and y  14, x  y  8  14  22.

56. When x  2 and y  3, 5 xy   5  2  3  30.
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