3.2 Exercises #3-12, 36-40
3. 8 - 5
4. 3 • 12 or 12 • 3
5. 28/7
6. 6 + 10 or 10 + 6
7. 18 - 3
8. 15 + 17 or 17 + 15
9. x - 13
10. 5 • d or d • 5
11. 18/a
12. s - 6
36. 45
37. 59
38. 390
39. 140
40. D
3.1 Exercises # 8-10, 16-22 (even), 25-31 (odd), 43, 45
8. Terms: 7h, 3; Coefficient: 7; Constant: 3
9. Terms: g, 12, 9g; Coefficients: 1, 9; Constant: 12
10. Terms: 5c2, 7d; Coefficients: 5, 7; Constant: none
16. b3
18. 8w4
20. a2c2
22. The coefficient and the exponent are reversed. 3 • n • n • n • n = 3n4
25. 9
27. 11
29. 10
31. 6
43. 23
45. 2 5/6
3.1 Exercises # 4-7, 56-60
4. 8 2; $4
5. 20 • 6; $120
6. 95 - 82; 13 points
7. 20 - 12; $8
56. 243
57. 512
58. 2401
59. 256
60. C
Ch. 2 Study Guide
1. ⅜
2. 1/12
3. 9 4/7
4. ½
5. 25
6. 3 1/23
7. 8.71
8. 7.762
9. 3.374
10. 53.6
11. 0.28
12. 35.2101
13. 0.8
14. 130
15. 2.33
16. 21.84
17. 5 for $58.99
18. ½ hour
19. $4.66
20a. 1.2 times faster b. 4 more pictures
2.5 Exercises #27, 36-42, 54-56
27. 30.06 lb
36. 0.0000032
37. 0.000012
38. 2.48
39. 109.74
40. 5.6952
41. 3.886
42. 117.96438
54. 4.355
55. 23.112
56. 2.016
2.6 Exercises #18-34 (even), 40, 42, 61-65
18. 6.2
20. 5.58
22. 0.15
24. They brought down 2 zeros instead of 1.
26. $0.12
28. 7.945
30. 25.2
32. 2.35
34. The 12-pack; The price per unit is $0.74 for the 4-pack, $0.72 for the 12-pack, and $0.73 for the 24-pack. So, the 12-pack is the best buy.
40. 352.5
42. 7200
61. 1 ⅙
62. 1 3/20
63. 1/20
64. 1/24
65. B
2.5 Exercises #13-20, 70-74
13. 33.6
14. 31.5
15. 115.04
16. 18.27
17. 21.45
18. 29.45
19. 13.888
20. 98.256
70. 26
71. 5
72. 3
73. 7
74. D
2.4 Exercises #1, 2, 8, 10, 14-34 (even), 36-40
1. Estimating allows you to check that your answer is reasonable.
2. Line up the decimals points and insert zeros if needed.
8. 34.098
10. 34.313
14. 3.561
16. 2.884
18. You need to regroup and subtract 8 from 10. 9.5 - 7.18 = 2.32
20. $1.40
22. 6.772
24. 10.343
26. 21.582
28. Sample answer: 9.55, 10.6, 7.755
30. 3.6 hours
32. 28.546 AU
34. 10.26 AU
36. ½
37. ¼
38. ⅙
39. 1/20
40. C
2.3 Exercises #5-23 (odd), 26-36 (even), 41-45
5. 3
7. 9 ¾
9. 3 18/19
11. 9/10
13. 12 ½
15. 1 ⅕
17. 2/7
19. 1 5/18
21. The mixed number 1 ⅔ was not written as an improper fraction before inverting.
23. 14 hamburgers
26. 3
28. 3
30. 6 9/26
32. 13 ⅕
34. 3 ⅓
36. 7/108
41. 0.43
42. 0.013
43. 3.8
44. 7.009
45. C
2.2 Exercises #19-25 (odd), 28, 30, 43-51 (odd), 54, 55
19. 3
21. 2/27
23. 27/28
25. 20 ¼
28. You invert the second fraction, not the first.
30. 3/25
43. 1/216
45. 1 ⅙
47. 2
49. 3/26
51. ⅔
54. When the fraction has, or can be simplified to have, a 1 in the numerator; the reciprocal will have, or can be simplified to have, a 1 in the denominator, so it is a whole number.
55. a. 3 ¾ times b. 3 ⅓ times c. ¼
2.2 Exercises #11-18, 58-62
11. ½
12. 2 11/12
13. 16
14. 20
15. 1/14
16. 3/25
17. ⅓
18. ⅔
58. 8
59. 6
60. 16
61. 5
62. D
2.1 Exercises #4-20 (even), 26-40 (even), 60-64
4. 2/21
6. 1/10
8. 8/21
10. 1/24
12. 4 ⅙
14. ⅖
16. 9/49
18. 13/21
20. You did not multiply the denominators. 3/25.
26. 8/9
28. 2
30. 5
32. 1
34. 3 ½
36. 23 ⅖
38. 7 ⅞
40. 17 6/7
60. 23 • 3
61. 32 • 5
62. 53 is prime.
63. 22 • 3 • 5
64. B
Ch. 1 Study Guide
1. 6342
2. 3836
3. 4784
4. 9
5. 8
6. 225
7. 625
8. 85
9. 5
10. 10
11. 1, 52; 2, 26; 4, 13
12. 1, 66; 2, 33; 3, 22; 6, 11
13. 2 • 23
14. 22 • 7
15. 6
16. 8
17. 13
18. 9
19. 42
20. 72
21. 78
22. 84
23. 4 bracelets
24. 48 of each color marble
25. 2 7/40 lb.
1.6 Exercises #12-18, 20, 25-31 (odd)
12. 63
13. 108
14. 90
15. 66
16. 180
17. 350
18. The product of 2 numbers is not necessarily the LCM. Use the ladder method to find the LCM is 2 • 3 • 3 = 18.
20. 4 packs of hot dogs and 5 packs of buns.
25. 120
27. 1260
29. Always
31. Never
1.6 Exercises #3-5, 37-40
3. 21
4. 24
5. 60
37. 32
38. 54
39. 175
40. B
1.5 Exercises #13-18, 20, 22-25
13.15
14. 9
15. 9
16. 12
17. 1
18. 1
20. Not all of the common prime factors are included. The GCF is 2 • 7 = 14.
22. 8 arrangements
23. 7
24. 6
25. 14
1.5 Exercises #4-6, 35-39
4. 6
5. 2
6. 12
35. Commutative Property of Addition
36. Associative Property of Addition
37. Commutative Property of Multiplication
38. Associative Property of Multiplication
39. B
1.4 Exercises #11-23 (odd), 24, 26, 27
11. 1, 39; 3, 13
13. 1, 54; 2, 27; 3, 18; 6, 9
15. 1, 61
17. 5 • 5 or 52
19. 2 • 13
21. 2 • 3 • 3 • 3 or 2 • 33
23. 7 • 11
24. 9 is not prime, it is equal to 3 • 3. 72 = 2 • 2 • 2 • 3 • 3 or 23 • 32
26. 180
27. 1575
1.4 Exercises #4-7, 40-44
4. 2, 3, 6, 9
5. 3, 5, 9
6. 2, 3, 5, 6, 9, 10
7. None, 1709 is a prime number
40. 145
41. 357
42. 2395
43. 1248
44. B
1.3 Exercises #7-15 (odd), 19-25 (odd), 26, 28
7. 5
9. 24
11. 88
13. 2
15. Addition was performed before multiplication. 9 + 2 • 3 = 9 + 6
19. 25
21. 47
23. 8
25. 22 people
26. 12
28. 3
1.3 Exercises #3-5, 34-38
3. 57
4. 2
5. 2
34. 5.7
35. 6.1
36. 9.6
37. 0.9
38. D
1.2 Exercises #7-13 (odd), 14-24 (even), 25-39 (odd)
7. 25
9. 84
11. 76
13. The base is written as the exponent and the exponent is written as the base. 4 • 4 • 4 = 43.
14. 25
16. 32
18.117,649
20. 20,736
22. The exponent is written as a factor, but it should have been used to indicate the number of times the base is used as a factor. 83 = 8 • 8 • 8 = 512
24. 24=16 in
25. Not a perfect square
27. Perfect square
29. perfect square
31. Not a perfect square
33. 40,000 cm2
35. 8 squares
37. As the exponent decreases the value of the power is divided by 4.
39. 13 blocks; add 72 - 62 blocks 19 blocks; add 102 - 92 blocks 39 blocks; add 202 - 192 blocks
1.2 Exercises #4-6, 40-44
4. 92
5. 132
6. 153
40. 84
41. 165
42. 8
43. 7
44. C
1.1 Exercises #1-7, 13, 15, 19, 21, 28-38 (even)
1. addition
2. multiplication
3. division
4. subtraction
5. addition
6. subtraction
7. a. dividend b. quotient c. divisor
13. 7081
15. 2462
19. 6944
21. 31
28. Two digits were brought down instead of one after subtracting 12 from 13. The answer should be 109.
30. subtraction
32. multiplication
34. division
36. 42 ft; 108 ft2
38. 1165 tickets
1.1 Exercises #8-11, 47-51
8. 2118 + 3391 + 4785 + 6354; 16,648 people
9. 4785 - 3391; 1394 people
10. 6354 ÷ 2118; 3 times more people
11. 4785 • 2; 9570 people
47-50. I can’t draw the graph. Please compare with your neighbor.
51. A