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, Solution and Answer Guide: Tussy/Gustafston, Elementary and Introductory Algebra 6e, 2025, 9798214000466;
Chapter 1: An Introduction to Algebra
Solution and Answer Guide
TUSSY/GUSTAFSTON, ELEMENTARY AND INTRODUCTORY ALGEBRA 6E, 2025, 9798214000466;
CHAPTER 1: AN INTRODUCTION TO ALGEBRA
TABLE OF CONTENTS
Section 1.1 Study Set ............................................................................................................ 3
Vocabulary .................................................................................................................................... 3
Concepts ....................................................................................................................................... 4
Notation ........................................................................................................................................ 5
Guided Practice ........................................................................................................................... 5
Applications .................................................................................................................................. 8
Writing .......................................................................................................................................... 11
Challenge Problems ................................................................................................................... 11
Section 1.2 Study Set ........................................................................................................... 11
Vocabulary ................................................................................................................................... 11
Concepts ..................................................................................................................................... 12
Notation ...................................................................................................................................... 12
Guided Practice ......................................................................................................................... 13
Try it Yourself ............................................................................................................................ 22
Look Alikes ................................................................................................................................. 27
Application ..................................................................................................................................28
Step-by-Step ............................................................................................................................. 31
Find It .......................................................................................................................................... 31
Challenge Problems .................................................................................................................. 32
Section 1.3 Study Set .......................................................................................................... 32
Vocabulary .................................................................................................................................. 32
Concepts ..................................................................................................................................... 33
Notation ...................................................................................................................................... 33
Guided Practice .........................................................................................................................34
Applications ................................................................................................................................ 37
Writing .........................................................................................................................................39
Challenge Problems ..................................................................................................................39
Section 1.4 Study Set.......................................................................................................... 39
© 2024 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or 1
posted to a publicly accessible website, in whole or in part.
, Solution and Answer Guide: Tussy/Gustafston, Elementary and Introductory Algebra 6e, 2025, 9798214000466;
Chapter 1: An Introduction to Algebra
Vocabulary ..................................................................................................................................39
Concepts .................................................................................................................................... 40
Notation ..................................................................................................................................... 40
Guided Practice ........................................................................................................................ 40
Try it Yourself ........................................................................................................................... 44
Applications ................................................................................................................................ 47
Find it.......................................................................................................................................... 49
Challenge Problems ................................................................................................................. 49
Section 1.5 Study Set .......................................................................................................... 49
Vocabulary ................................................................................................................................. 49
Concepts .....................................................................................................................................50
Notation ......................................................................................................................................50
Guided Practice .........................................................................................................................50
Try it Yourself ............................................................................................................................54
Look Alikes ................................................................................................................................. 57
Applications ................................................................................................................................58
Find it.......................................................................................................................................... 60
Writing ........................................................................................................................................ 60
Challenge Problems ................................................................................................................. 60
Section 1.6 Study Set ...........................................................................................................61
Vocabulary .................................................................................................................................. 61
Concepts ..................................................................................................................................... 61
Notation ......................................................................................................................................62
Guided Practice .........................................................................................................................62
Try it Yourself ........................................................................................................................... 66
Look Alikes ................................................................................................................................ 69
Applications ................................................................................................................................70
Find it........................................................................................................................................... 72
Writing ......................................................................................................................................... 73
Challenge Problems .................................................................................................................. 73
Section 1.7 Study Set .......................................................................................................... 73
Vocabulary .................................................................................................................................. 73
Concepts ..................................................................................................................................... 73
© 2024 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or 2
posted to a publicly accessible website, in whole or in part.
, Solution and Answer Guide: Tussy/Gustafston, Elementary and Introductory Algebra 6e, 2025, 9798214000466;
Chapter 1: An Introduction to Algebra
Notation ...................................................................................................................................... 73
Guided Practice ......................................................................................................................... 74
Try it Yourself ............................................................................................................................85
Look Alikes ................................................................................................................................ 89
Applications ............................................................................................................................... 89
Find it...........................................................................................................................................93
Challenge Problems ..................................................................................................................93
Section 1.8 Study Set.......................................................................................................... 93
Vocabulary ..................................................................................................................................93
Concepts .................................................................................................................................... 94
Notation ..................................................................................................................................... 94
Guided Practice .........................................................................................................................95
Try it Yourself .......................................................................................................................... 103
Applications .............................................................................................................................. 104
Challenge Problems ................................................................................................................ 105
Section 1.9 Study Set ........................................................................................................ 105
Vocabulary ................................................................................................................................ 105
Concepts ................................................................................................................................... 106
Notation .................................................................................................................................... 106
Guided Practice ....................................................................................................................... 107
Try it Yourself ........................................................................................................................... 113
Look Alikes ................................................................................................................................ 118
Applications ............................................................................................................................... 119
Find It ......................................................................................................................................... 119
Challenge Problems ................................................................................................................. 119
CHAPTER 1 TEST ............................................................................................................... 120
SECTION 1.1 STUDY SET
VOCABULARY
1. A sum is the result of an addition.
A difference is the result of a subtraction.
© 2024 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or 3
posted to a publicly accessible website, in whole or in part.
, Solution and Answer Guide: Tussy/Gustafston, Elementary and Introductory Algebra 6e, 2025, 9798214000466;
Chapter 1: An Introduction to Algebra
A product is the result of a multiplication.
A quotient is the result of a division.
2. Variables are letters that stand for numbers.
3. A number, such as 8, is called a constant because it does not change.
4. Variables and numbers can be combined with the operations of addition,
subtraction, multiplication, and division to create algebraic expressions.
5. An equation is a mathematical sentence that contains an = symbol. An algebraic
expression does not.
6. An equation such as c = 10m, which expresses a relationship between two or more
variables, is called a formula.
7. The horizontal axis of a graph extends left and right and the vertical axis extends up
and down.
8. The word algebra comes from the title of a book written by an Arabian
mathematician around A. D. 800.
CONCEPTS
9. a. Equation
b. Algebraic expression
10. a. Algebraic expression
b. Equation
11. a. Algebraic expression
b. Equation
12. a. Equation
b. Algebraic expression
13. Addition, multiplication, division; t
14. Subtraction and multiplication; y
15. Construct a line graph using the data in the table.
© 2024 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or 4
posted to a publicly accessible website, in whole or in part.
, Solution and Answer Guide: Tussy/Gustafston, Elementary and Introductory Algebra 6e, 2025, 9798214000466;
Chapter 1: An Introduction to Algebra
16. Use the data in the graph to complete the table.
Depth
Minutes (feet)
0 500
5 400
10 300
15 200
20 100
NOTATION
17. The symbol ≠ means is not equal to.
18. The symbols ( ) are called parentheses.
19. Write the multiplication 5 × 6 using a raised dot and then using parentheses. 5 6, 5 6
20. Give four verbs that can be represented by an equal symbol =. is, are, gives, yields
21. 4x
22. Prt
23. 2w
24. xy
32
25.
x
90
26.
30
55
27.
5
h
28.
15
GUIDED PRACTICE
29. ACCOUNTING; 15-year-old machinery is worth $35,000.
30. ACCOUNTING; 35-year-old machinery is worth $15,000.
31. BUSINESS; 30 customers, $250
32. BUSINESS; 70 customers, $450
© 2024 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or 5
posted to a publicly accessible website, in whole or in part.
, Solution and Answer Guide: Tussy/Gustafston, Elementary and Introductory Algebra 6e, 2025, 9798214000466;
Chapter 1: An Introduction to Algebra
33. The product of 8 and 2 equals 16.
34. The product of 45 and 12 equals 540.
35. The difference of 11 and 9 equals 2.
36. The sum of 65 and 89 equals 154.
37. The sum of x and 2 equals 10.
38. The difference of 16 and t equals 4.
39. The quotient of 66 and 11 equals 6.
40. The quotient of 12 and 3 equals 4.
41. p 100 d
42. c m7
43. j 12 t
y
44. c
100
45. s 3c
c
46. w
10
47. w e 1,200
48. n 150 c
49. p r 600
50. d 3r
l
51. m
4
52. t 35 c
© 2024 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or 6
posted to a publicly accessible website, in whole or in part.
, Solution and Answer Guide: Tussy/Gustafston, Elementary and Introductory Algebra 6e, 2025, 9798214000466;
Chapter 1: An Introduction to Algebra
53. d 360 L
Lunch time School day
(minutes) (minutes)
L d
d 360 L
30 d 360 30
d 390
d 360 L
40 d 360 40
d 400
d 360 L
45 d 360 45
d 405
54. b 1,024k
Kilobytes Bytes
k b
1 b = 1, 024
5 b = 5, 120
10 b = 10, 240
55. t 1,500 d
Deductions Take-home
d pay
t
200 t 1,500 – d
t 1,500 – 200
t = 1, 300
300 t 1,500 – d
t 1,500 – 300
t = 1, 200
400 t 1,500 – d
t 1,500 – 400
t = 1, 100
s
56. w
12
© 2024 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or 7
posted to a publicly accessible website, in whole or in part.
, Solution and Answer Guide: Tussy/Gustafston, Elementary and Introductory Algebra 6e, 2025, 9798214000466;
Chapter 1: An Introduction to Algebra
Inches of Inches of water
snow w
s
12 w1
24 w 2
72 w 6
e
57. d
12
Eggs Dozens
e d
24 2
36 3
48 4
58. p 2c
59. I 2c
Couples Individuals
c I
20 40
100 200
200 400
p
60. t
5
APPLICATIONS
61. EXERCISE
a. The number of calories burned is the product of 3 and the number of minutes
cleaning.
b. c = 3m
c. m 10 20 30 40 50 60
c 30 60 90 120 150 180
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posted to a publicly accessible website, in whole or in part.