Download hsm11a1ep_001-004.indd - Thomas C. Cario Middle School

Name
Class
Date
Extra Practice
Chapter 1
Lesson 1-1
Write an algebraic expression for each word phrase.
1. 3 fewer than y
2. the quotient of r and 12
3. 13 more than the product of 2 and j
4. 8 less than the quotient of 4 and p
Write a word phrase for each algebraic expression.
6. 7 
5. 2t – 9
6
k
7. 0.5 (y + 3.3)
8. The cost of a telephone call is 75 cents plus 25 cents times the number of
minutes. Write an algebraic expression that models the cost of a
telephone call that lasts t minutes.
Lesson 1-2
Simplify each expression.
9. 24
13. 42 + 8 ÷ 2
10. 52
11. 4 + 3 • 8
12. 2 • 32 –7
14. 9 – (3 + 1)2
15. 2 + 6 • 8 ÷ 4
16. 5 + 4 • (8 – 6)2
 b1  b2 
 , where A is area,
 2 
Use the formula for the area of a trapezoid A  h 
b1 and b2 are the length of the bases and h is the height, to answer each question.
17. What is the area of a trapezoidal pool with a height of 15 yd and bases of 14 yd and
26 yd?
18. How many square feet of grass are there on a trapezoidal field with a height of 75
ft and bases of 125 ft and 81 ft?
Lesson 1-3
Find the square roots of each number.
4
19. 25
20.
9
21.
25
36
22. 0.81
Estimate each square root. Round to the nearest integer.
23.
23
24.
85
231
25.
26.
Name the subset(s) of the real numbers to which each number belongs.
27.
77
28. 4
29.
2
3
30. 0
Prentice Hall Algebra 1 • Extra Practice
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97
Name
Class
Date
Extra Practice (continued)
Chapter 1
Order the numbers in each exercise from least to greatest.
69
25
31. 33, , 4.8 , 18
32.
, 69 , –9,
7
4
79
Is each statement true or false? If the statement is false, give a counterexample.
33. The product of a rational number and an integer is not an integer.
34. The quotient of two integers is an integer.
35. The sum of two rational numbers is a rational number.
Lesson 1-4
Simplify each expression. Justify each step.
36. 9 + 2p + 3
38. 3 
37. [4 + (–4)]y
3  18 
18  3 
39. 8 • (2y)
Identify the property of real numbers shown in each situation.
40. The cost of one item sold for $14.50 is $14.50.
41. You can find the cost of fish by multiplying the price per pound by the amount or
by multiplying the amount by the price per pound.
42. To find total time spent doing homework in a week, you add the amount from each
day. You find that the total is the same no matter what order you use.
Use deductive reasoning to tell whether each statement is true or false. If it is
false, give a counterexample.
43. For all real numbers a and b, a – b = b – a.
44. For all real numbers x, x • 0 = 0.
Prentice Hall Algebra 1 • Extra Practice
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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Name
Class
Date
Extra Practice (continued)
Chapter 1
Lessons 1-5 and 1-6
Simplify each expression.
45. 22 + (–33)
46. 45 + (–54)
49. –(–(11 – 22))
50. (–2)(44)
 3  22 
53.    
 2  33 
54.
57.
42
52
47. 
4 4

3 5
48.
52. –32
51. (–3)2
32
23
55.
5 2
( 5)2
58.  25
59.
27
3
4 4

13 13
56. 81 ÷ (–9)
60.  121
61. Your goal is to save $50. So far, you have saved $34. How much more do you
need to save?
62. A company buys 1500 small items from a manufacturer for $.02 apiece. What
is the total cost of the items?
63. Your parents drove the family car 462 miles on 14 gallons of gas. On average,
how many miles did the car travel on each gallon of gas?
Lesson 1-7
Use the Distributive Property to simplify each expression.
4

64. –4(a + 3)
65. 12  x  1
66. 5 + 6(m + 1)
3

67. 5(2 – j) + (2j – 3)
68.
1
(12  6r )
3
1 2 
69. 6   y 
2 3 
70. Cereal is on sale for $3.95 per box. What is the cost of seven boxes? Use mental
math.
Lesson 1-8
Tell whether each equation is true, false, or open. Explain.
71. 6 – t = 12
72. 7 + (–5) = 12
73. 31 – 15 = 22 + (–3)2
Tell whether the given number is a solution of each equation.
74. 9 = 2a + 3; 3
75. 5n – (–30) = 5; 7
76. 4.4r – 2.8 = 1.6; 1
77. A plumber charges $65 per hour to fix a leak. What is an equation that relates
the total cost of a leak repair c to the number of hours h it takes the plumber to
fix the leak?
Prentice Hall Algebra 1 • Extra Practice
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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Name
Class
Date
Extra Practice (continued)
Chapter 1
Lesson 1-9
Tell whether the given ordered pair is a solution of the equation.
78. y = –x – 2; (1, –3)
4 6
79. y  x  ;  , 2 
5 5 
80. y = 3(5 – x); (3, 6)
81. A pizzeria charges $12 for a large pizza, plus a $3 delivery
fee. Use a table, an equation, and a graph to describe the
relationship between the number of pizzas delivered and the
total cost.
Use the table to draw a graph and answer the question.
82. The table shows the total cost of
apples at a roadside stand. What is
the cost of 7 bushels of apples?
83. a. Extend the table below to find the amount of time it
will take you to make 11 and 13 ski runs.
b. Draw a graph and write an equation to show the relationship
between the number of runs and hours.
Prentice Hall Algebra 1 • Extra Practice
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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