Solution Manual for Beginning and Intermediate Algebra with Applications & Visualization 4th Edition by Gary Rockswold, All Chapters 1-14

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, Table of Contents
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Chapter 1 Introduction to Algebra 1
Chapter 2 Linear Equations and Inequalities 51
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Chapter 3 Graphing Equations 115
Chapter 4 Systems of Linear Equations in Two Variables 199
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Chapter 5 Polynomials and Exponents 253
Chapter 6 Systems of Equations and Inequalities 305
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Chapter 7 Rational Expressions 357
Chapter 8 Introduction to Functions 433
Chapter 9 Systems of Linear Equations 503
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Chapter 10 Radical Expressions and Functions 539
Chapter 11 Quadratic Functions and Equations 599
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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
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Section 1.1: Numbers, Variables, and Expressions
1. natural
2. 0
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3. 1
4. composite
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5. factors
6. formula
7. variable
8. equal sign
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9. sum
10. product
11. quotient
12. difference
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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
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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.
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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
number of apps does not contain a fraction or a decimal point.
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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.
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.
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20. Yes, the number of bald eagles living in the United States could be described by the whole numbers
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.
25. The number 29 is a prime number because its only factors are itself and 1.
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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.
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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.
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32. The number 101 is a prime number because its only factors are itself and 1.
33. 6  2  3
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34. 8  2  2  2
35. 12  2  2  3
36. 20  2  2  5
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37. 32  2  2  2  2  2
38. 100  2  2  5  5
39. 39  3 13
40. 51  3 17
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41. 294  2  3  7  7
42. 175  5  5  7
43. 300  2  2  3  5  5
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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.
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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.

x x 32
49. The value of the expression , when x  32, is   4.
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8 8 8
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.
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52. The value of the expression 7  6  x  , when x  3, is 7  6  x   7  6  3   7  3  21.

x x 6
53. The value of the expression  1, when x  6, is  1   1  3  1  4.
2 2 2
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6 6 6
54. The value of the expression 3  , when x  2, is 3   3   3  3  0.
x x 2
55. When x  8 and y  14, x  y  8  14  22.
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56. When x  2 and y  3, 5 xy   5  2  3  30.


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