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Algebra IA
2.6 Worksheet
Name _________________________________
Date ___________________
Hour ______
DIVIDE REAL NUMBERS
Find each quotient.
1. 16 ÷ 4
2. –27 ÷ 3
3. 25 ÷ (–5)
4. 63 ÷ (–9)
5. –15 ÷ (–3)
6. 14 ÷ (–7)
7. –124 ÷ 4
8. 60 ÷ 15
9. 28 ÷ (–4)
10. –56 ÷ (–8)
11. 72 ÷ 8
12. –21 ÷ (–7)
13.
 32
4
14.
45
9
15.
 25
5
16.
35
7
17.
63
9
18.
 144
 12
19.
 48
6
20.
56
8
21. What is –54 divided by 9?
22. Divide –27 by –3.
23. Divide 144 by –12.
24. What is –65 divided by –13?
Evaluate each expression if x = –8 and y = –12.
25. x ÷ 2
26. x ÷ (–4)
27. 36 ÷ y
28. 0 ÷ y
29. –60 ÷ y
31. 8 ÷ x
32. –108 ÷ y
30. 56 ÷ x
Evaluate each expression if x = –8 and y = –12. (continued)
33.
x
2
34.
y
3
35.
0x
36
36.
 112
x
37.
y
6
38.
x
4
39.
 14 y
4
40.
136
x
Simplify each expression.
41.
 81x  27
9
42.
15 x  5
5
43.
12 x  20
4
44.
 56 x  49
7
45.
 6 x  24
6
46.
32 x  2 y
2
Find the average (mean) of each group of numbers.
47. 3, 12, 6
48. –8, –1, –3
49. –8, 15, 5, 8
51. –10, –7, 7, 10
52. 12, 24, 9, 15, 18, 20, 16, 14
50. –3, –10, 2, –4, 0
53. –4, –11, –6, 1, 8, –12
Algebra IA
2.7 Worksheet
Name _________________________________
Date ___________________
Hour ______
FIND SQUARE ROOTS & COMPARE REAL NUMBERS
Find each square root.
1. 1
2. 9
3.
5. 64
6. 169
7.  36
8.  81
9.  64
10.  196
11.  121
12.
13.
14.
15.  289
16.  324
19.  0.16
20.  3.24
441
17.  8100
625
18.  2.25
25
Estimate each square root to the nearest integer. Do not use a calculator!
Hint: Think of perfect squares
21. 38
22. 84
23. 389
25. 118
26.
29.  119
30.  9.3
230
4.
49
225
24. 5
27.  83
28.  19
31.
32.
27.5
78.1
Use a calculator to find each square root to the nearest tenth.
33. 31
34. 40
35. 94
36. 132
37.  68
40.  314
38.
247
39.  521
Tell whether each of the following numbers is a real number, a rational number, irrational
number, an integer, or a whole number. Then order the numbers from least to greatest.
41. 10,
38 ,
Number
2
, –4, 0.02
3
Real Number
Rational
Number
Irrational
Number
Integer
Whole
Number
Rational
Number
Irrational
Number
Integer
Whole
Number
Rational
Number
Irrational
Number
Integer
Whole
Number
10
38
2
3
–4
0.02
Order the numbers:
42. 0,  49 ,
Number
8
, –9, 0.45
4
Real Number
0
 49
8
4
–9
0.45
Order the numbers:
43. 0.9, 82 ,
Number
6
, 3, –0.5
7
Real Number
0.9
82
6
7
3
–0.5
Order the numbers: