Download CONCEPTS 500 400 300 200 100 NOTATION 21. 4x 22. Prt 23. 2w

SECTION 1.1, STUDY SET
VOCABULARY
15. Construct a line graph using the data in
the table.
Fill in the blanks.
1. A sum is the result of an addition.
A difference is the result of a subtraction.
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.
16. Use the data in the graph to complete the
table.
Minutes
0
5
10
15
20
Depth
(feet)
500
400
300
200
100
NOTATION
Fill in the blanks.
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
CONCEPTS
an equal symbol =. is, are, gives, yields
Classify each item as an algebraic expression or an
equation.
Write each expression without using a
multiplication symbol or parentheses.
21.
22.
23.
24.
9. a. Equation
b. Algebraic expression
10. a. Algebraic expression
b. Equation
4x
Prt
2w
xy
Write each division using a fraction bar.
11. a. Algebraic expression
32
x
90
26.
30
55
27.
5
h
28.
15
.
b. Equation
25.
12. a. Equation
b. Algebraic expression
13. Addition, multiplication, division
t
14. Subtraction and multiplication
y
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Section 1.1, An Introduction to Algebra
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Use the formula to complete each table.
GUIDED PRACTICE
29. ACCOUNTING
15-year-old machinery is worth $35,000.
30. ACCOUNTING
35-year-old machinery is worth $15,000.
31. BUSINESS
53. d  360  L
Lunch Time
(minutes)
L
School Day
(minutes)
d
d
d
d
d
d
d
d
d
d
30
30 customers, $250
32. BUSINESS
70 customers, $450
40
45
Express each statement using one of the words sum,
product, difference, or quotient.
54. b  1,024k
33. The product of 8 and 2 equals 16.
Kilobytes
k
34. The product of 45 and 12 equals 540.
35. The difference of 11 and 9 equals 2.
1
36. The sum of 65 and 89 equals 154.
5
37. The sum of x and 2 equals 10.
10
Bytes
b
b  1,024
b  5,120
b  10, 240
38. The difference of 16 and t equals 4.
55. t  1,500  d
39. The quotient of 66 and 11 equals 6.
Deductions
d
40. The quotient of 12 and 3 equals 4.
200
Translate each verbal model into an equation.
(Answers may vary, depending on the variables
chosen.)
41.
p  100  d
300
42. c  m  7
43. 7 d  h
400
y
100
45. s  3c
44. c 
56. w 
s
12
12
24
72
49. p  r  600
57. d 
50. d  3r
l
51.
m
4
52. t  35  c
Take-home pay
t
t  1,500  d
t  1,500  200
t = 1, 300
t  1,500  d
t  1,500  300
t = 1, 200
t  1,500  d
t  1,500  400
t = 1,100
Inches of snow
s
c
46. w 
10
47. w  e  1, 200
48. n  150  c
Inches of water
w
w 1
w2
w6
e
12
Eggs
e
Dozens
d
24
36
48
2
3
4
58. p  2 c
Section 1.1, An Introduction to Algebra
 360  L
 360  30
 390
 360  L
 360  40
 400
 360  L
 360  45
 405
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59. I  2 c
TRAFFIC SAFETY GRAPH
Couples
c
Individuals
I
20
100
200
40
200
400
60. t 
p
5
APPLICATIONS
61. EXERCISE
a. The number of calories burned is the
product of 3 and the number of minutes
cleaning.
WRITING
63-66. Answers will vary.
CHALLENGE PROBLEMS
67. Complete formula.
b. c = 3m
c.
m
c
10
30
t  3 s+ 1
20
60
30
90
40
120
50
150
60
180
d.
s
t
18
33
47
100
142
55
68. h  4n and n  2 g
h  4n
h  4(2 g )
h 8 g
62. TRAFFIC SAFETY
Angle 1
0
15
30
45
60
75
90
Angle 2
2  90   1
 2 = 90
 2  90   1
 2 = 75
 2  90   1
 2 = 60
 2  90   1
 2 = 45
 2  90   1
 2 = 30
 2  90   1
 2 = 15
 2  90   1
2=0

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Section 1.1, An Introduction to Algebra
Full file at http://testbankcart.eu/Solution-Manual-for-Elementary-Algebra-5th-Edition-by-Tussy