Download Additional Practice/Study Guide

Name
Class
Date
Extra Practice
Chapter 1
This assignment is to be completed in class, and given to Ms. Luckett by the time
the bell rings.
You are to work independently, and treat this assignment as if it was a test.
Please, NO Cheating!! Use Integrity by not using any apps, websites or notes to
help you.
Make sure that you use the proper heading on your work; write both the
questions and answers on your paper; and, show your mistakes!!! I need to see
your work…Remember, “No Work? No Grade (zero)!!”
This is NOT a group assignment so please refrain from talking while being
persistent in your endeavors to Ace this practice...
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.
5. 2t – 9
7. 0.5 (y + 3.3)
6.
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
Use the formula for the area of a trapezoid
, where A is area,
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.
19. 25
20.
21.
22. 0.81
Estimate each square root. Round to the nearest integer.
23.
24.
25.
26.
Name the subset(s) of the real numbers to which each number belongs.
27.
28. 4
29.
30. 0
Prentice Hall Algebra 1 • Extra Practice
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
1
Name
Class
Date
Extra Practice (continued)
Chapter 1
Order the numbers in each exercise from least to greatest.
31.
,
32.
,
, –9,
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
37. [4 + (–4)]y
38.
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.
2
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)
51. (–3)2
52. –32
53.
54.
55.
56. 81 ÷ (–9)
57.
58.
59.
60.
47.
48.
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.
64. –4(a + 3)
65.
66. 5 + 6(m + 1)
67. 5(2 – j) + (2j – 3)
68.
69.
70. Cereal is on sale for $3.95 per box. What is the cost of seven boxes? Use
mental math.