EXERCISES
For more practice, see Extra Practice.
Practiceand
andProblem
ProblemSolving
Solving
Practice
A
Practice by Example
Example 1
(page 4)
Example 2
(page 5)
Example 3
(page 5)
Write an algebraic expression for each phrase.
1. 4 more than p
2. y minus 12
3. 12 minus m
4. the product of c and 15
5. the quotient of n and 8
6. the quotient of 17 and k
7. 23 less than x
8. the sum of v and 3
Define a variable and write an expression for each phrase.
9. 2 more than twice a number
10. a number minus 11
11. 9 minus a number
12. a number divided by 82
13. the product of 5 and a number
14. the sum of 13 and twice a number
15. the quotient of a number and 6
16. the quotient of 11 and a number
Define variables and write an equation to model each situation.
17. The total cost is the number of cans times $.70.
18. The perimeter of a square equals 4 times the length of a side.
19. The total length of rope, in feet, used to put up tents is 60 times the number of tents.
20. What is the number of slices of pizza left from an 8-slice pizza after you have
eaten some slices?
Example 4
(page 6)
Define variables and write an equation to model the relationship in each table.
21. Number of
Workers
23.
B
Apply Your Skills
Number of
Radios Built
22. Number of
Tapes
Cost
1
13
1
$8.50
2
26
2
$17.00
3
39
3
$25.50
4
52
4
$34.00
Number of
Hours
Total
Pay
24.
Number of
Sales
Total
Earnings
5
$2.00
4
$32
10
$4.00
6
$48
15
$6.00
8
$64
20
$8.00
10
$80
Write an expression for each phrase.
25. the sum of 9 and k minus 17
26. 6.7 more than 5 times n
27. 9.85 less than the product of t and 37
28. the quotient of 3b and 4.5
29. 15 plus the quotient of 60 and w
30. 7 minus the product of v and 3
31. the product of m and 5, minus the quotient of t and 7
32. the sum of the quotient of p and 14 and the quotient of q and 3
33. 8 minus the product of 9 and r
6-8
Chapter 1 Tools of Algebra
Write a phrase for each expression.
34. q + 5
35. 3 - t
36. 9n + 1
y
37. 5
38. 7hb
Define variables and write an equation to model the relationship in each table.
39.
Real-World
Connection
In 1998, people in the United
States spent more than
$8.5 billion on lawn care.
40.
Time
(months)
Length
(inches)
Number
of Days
Change in
Height (meters)
1
0.165
1
4.1
2
0.330
2
8.2
3
0.495
3
12.3
4
0.660
4
16.4
41. Use the table at the right.
a. Does each statement fit the data in the table?
Lawns Mowed Hours
1
2
3
6
Explain.
i. hours worked = lawns mowed ? 2
ii. hours worked = lawns mowed + 3
b. Writing Which statement in part (a) better describes
the relationship between hours worked and lawns mowed? Explain.
42. a. Money Write an equation to show how the amount of money in a bag of
quarters relates to the number of quarters in the bag.
b. The bag contains 13 quarters. How much money is this?
C
Challenge
Physics The table at the left shows the height of the first bounce when a ball is
dropped from different heights.
43. a. Write an equation to describe the relationship between the height of the first
bounce and the drop height.
1
2
1
2
b. Suppose you drop the ball from a window 20 ft above the ground. Predict
how high the ball will bounce.
44. Suppose the second bounce is 14 of the original drop height. Write an equation
to relate the height of the second bounce to the drop height.
Open-Ended Describe a real-world situation that each equation could represent.
Include a definition for each variable.
45. d = 5t
46. a = b + 3
47. c = 40
h
Lesson 1-1 Using Variables
6-8
Standardized
Standardized
Test Prep Test Prep
Multiple Choice
48. Which is an algebraic expression for “six less than k”?
A. k6
B. k
6
C. 6 - k
D. k - 6
49. Which is an algebraic expression for “the product of a and 10”?
a
F. a + 10
G. a - 10
H. 10a
I. 10
50. Which is an algebraic expression for “9 more than v”?
A. v + 9
B. v - 9
C. 9 - v
D. 9v
51. A container of milk contains 64 ounces. Which equation models the
number n of ounces remaining after you have drunk m ounces?
F. m - 64 = n
G. 64 - m = n
H. n - 64 = m
I. n - m = 64
52. Which equation models the relationship in
the table if r represents the row number
and t represents the number of tulips?
A. r = 3t
B. r = 3
t
C. t = r + 3
D. t = 3r
Take It to the NET
Online lesson quiz at
www.PHSchool.com
53. Which is an algebraic expression for
“the quotient of r + 5 and b”?
5
F. r 1
b
r
G. b 1
5
b
H. r 1
5
Row
Number
Number
of Tulips
1
3
2
6
3
9
4
12
I. br + 5
Web Code: aea-0101
Mixed Mixed
ReviewReview
Pre-Course
Add, subtract, multiply, or divide.
54. 0.2 + 0.7
55. 0.13 + 0.91
56. 0.6 + 0.75
57. 1.09 + 0.37
58. 0.9 3 0.7
59. 0.58 - 0.49
60. 0.8 - 0.66
61. 1.32 - 0.39
62. 2 3 0.5
63. 0.69 4 3
64. 0.6 4 0.2
65. 1.21 4 11
66. List four prime numbers between 20 and 50.
6-8
Chapter 1 Tools of Algebra