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Solution Manual for Beginning and Intermediate Algebra with Applications & Visualization 4th Edition by Gary Rockswold, All Chapters 1-14$19.99
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INSTRUCTOR’S SOLUTIONS
MANUAL
DAVID ATWOOD
R
Rochester Community and Technical College
U
BEGINNING AND
E S
I NTERMEDIATE A LGEBRA
S
WITH A PPLICATIONS AND
I
O
V ISUALIZATION
N
F OURTH E DITION
N
O
Gary Rockswold
C
Minnesota State University, Mankato
Terry Krieger
E D
Rochester Community and Technical College
M
with
Jessica Rockswold
, Table of Contents
Chapter 1 Introduction to Algebra 1
Chapter 2 Linear Equations and Inequalities 51
R
Chapter 3 Graphing Equations 115
Chapter 4 Systems of Linear Equations in Two Variables 199
U
Chapter 5 Polynomials and Exponents 253
E
Chapter 6 Systems of Equations and Inequalities 305
S
Chapter 7 Rational Expressions 357
S
Chapter 8 Introduction to Functions 433
Chapter 9 Systems of Linear Equations 503
I
O
Chapter 10 Radical Expressions and Functions 539
N
Chapter 11 Quadratic Functions and Equations 599
Chapter 12 Exponential and Logarithmic Functions 673
N
Chapter 13 Conic Sections 729
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Chapter 14 Sequences and Series 769
C
E D
M
,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
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4. composite
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5. factors
6. formula
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7. variable
8. equal sign
S
9. sum
10. product
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11. quotient
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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.
N
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.
N
15. No, a student’s grade point average could not be described by the whole numbers because a grade
O
point average usually contains a decimal point.
16. No, the Fahrenheit temperature in Antarctica could not be described by the whole numbers because a
C
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
D
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
E
have a fraction of a person.
M
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
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.
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.
26. The number 13 is a prime number because its only factors are itself and 1.
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.
R
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
E
36. 20 2 2 5
S
37. 32 2 2 2 2 2
38. 100 2 2 5 5
S
39. 39 3 13
40. 51 3 17
I
O
41. 294 2 3 7 7
42. 175 5 5 7
N
43. 300 2 2 3 5 5
44. 455 5 7 13
N
45. The value of the expression 3 x, when x 5, is 3 x 3 5 15.
O
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.
C
48. The value of the expression 13 x, when x 0, is 13 x 13 0 0.
D
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 83 5
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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.
x x 6
53. The value of the expression 1, when x 6, is 1 1 3 1 4.
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
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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