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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.
5. 2t – 9
6. 7 
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
10. 52
11. 4 + 3 • 8
12. 2 • 32 –7
13. 42 + 8 ÷ 2
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.
19. √25
20. √
4
9
21. √
25
36
22. √0.81
25.
231
26.
Estimate each square root. Round to the nearest integer.
23.
23
24.
85
97
Name the subset(s) of the real numbers to which each number belongs.
(Natural numbers, whole numbers, integers, rational, and irrational)
27.
77
______________
28. 4
__________________
29.
2
3
_______________
30. 0
______________
__________________
______________
__________________
______________
__________________
Name
Class
Order the numbers in each exercise from least to greatest.
25
31. 33, , 4.8 , 18
4
Date
32.
69
, 69 , –9,
7
79
Lesson 1-4
Simplify each expression. Justify each step with your property.
33. 7 + (9 – 32)
Step 1:__________________
_________________________
Step 2:__________________
_________________________
Step 3:__________________
_________________________
34. [4 + (–4)]15
Step 1:________________
________________________
Step 2: ________________
________________________
35. 3 
3  18 
18  3 
Step 1:___________________
_____________________
Step 2:_________________
_____________________
36. 2(3*2 – 5 ) + 3 * 1/3
Step 1:__________________________
_____________________________
Step 2: __________________________
____________________________
Step 3:__________________________
_____________________________
Step 4:__________________________
_____________________________
Step 5: __________________________
_____________________________
Lessons 1-5 and 1-6
Simplify each expression.
37. 22 + (–33)
38. 45 + (–54)
41. –(–(11 – 22))
42. (–2)(44)
 3  22 
45.    
 2  33 
46.
49.
42
52
39. 
4 4

3 5
40.
44. –32
43. (–3)2
32
23
47.
5 2
( 5 ) 2
50.  25
51.
27
3
48. 81 ÷ (–9)
52  121
53.Your goal is to save $50. So far, you have saved $34. How much more do you need to save?
54. A company buys 1500 small items from a manufacturer for $.02 apiece. What is the total cost of
the items?
55. 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

56. –4(a + 3)
57. 12  x  1
3

59. 5(2 – j) + (2j – 3)
60.
1
(12  6r )
3
4 4

13 13
58. 5 + 6(m + 1)
1 2 
61. 6   y 
2 3 