Ch. 4 Study Guide
1. 13,000 cm2
2. 154 in2
3. 4 cm2
4. 120 ft2
5. 51 m2
6. 128 in2
7-8. I can’t draw the graphs.
9. 16 units; 16 units2
10. 28 units; 48 units2
11. 35 ft2
12. a. 4605 ft b. 1,459,063 ft2
13. 400 ft2
4.4 Exercises #8-24 (even), 25, 27-31
8-10. I can’t draw the graphs. Check with your neighbor.
12. 12 units; 9 units2
14. 16 units; 15 units2
16. The x and y coordinates are reversed.
18-20. I can’t draw the graphs. Check with your neighbor.
22. (6, 1) and (8, 9)
24. 41 mi2
25. 2.5 times larger
27. 2
28. 8 ⅘
29. 5/16
30. 3 19/27
31. D
4.3 Exercises # 4-18 (even), 21, 23-27
4. 12 units2
6. 27 units2
8. 10 cm2
10. The height was not included in the formula. A = ½(6 + 14)(8) = 80 m2
12. 16 units2
14. 16 ft2
16. 253 cm2
18. 301 m2
21. The area of the floor covered by the larger speaker is 4 times greater than the area of the floor covered by the smaller speaker.
23-26. I can’t draw the graphs. Check your placement with your neighbor!
27. C
4.2 Exercises # 3-9, 11, 14, 17, 21-24
3. 6 cm2
4. 40 ft2
5. 1620 in2
6. 154 yd2
7. 1125 cm2
8. 132 m2
9. The side length of 13 meters was used instead of the height. A = ½(10)(12) = 60 m2
11. 324 cm2
14. 189 mm2
17. x2 times greater
21. Multiplication Property of One
22. Commutative Property of Multiplication
23. Associative Property of Addition
24. C
4.1 Exercises #3-13 (odd), 14-16, 18, 22-26
3. 18 ft2
5. 187 km2
7. 243 in2
9. 15 meters was used for the height instead of 13 meters. A = 8(13) = 104 m2
11. 12 units2
13. 24 units2
14. 64 cm2
15. 72 m2
16. 96 ft2
18. 22 times
22. 13
23. 1640
24. 480
25. 118
26. B
Ch 3 Study Guide
1. 10
2. 0
3. 48
4. 2x or x • 2
5. 25 + 50 or 50 + 25
6. 40 5
7. 11.7 + m
8. 70n
9. 45w
10. 4x + 32
11. 12y - 60
12. 4q + 2
13. 15r + 17
14. 8s
15. 2t + 5
16. 6(3 + 4)
17. 8(5 - 2)
18. 5(3x + 4)
19. 8(4x - 5y)
20. 94 min
21. 90x
22. 9n; 3(1/4n)
3.4 Exercises #5-33 (odd), 66-70
5. 63
7. 516
9. 936
11. 504
13. 4/7
15. 2 ½
17. 3x + 2
19. 6s - 54
21. 96 + 8a
23. 72 - 12k
25. 63 + 9c
27. 40g + 24
29. 4x + 4y
31. 7p + 7q + 63
33. The 6 was not distributed to the 8 inside the parentheses. 6(y + 8) = 6y + 48
66. 10.641
67. 34.006
68. 135.213
69. 0.387
70. B
3.3 Exercises #12-34 (even), 35-43
12. 11 + x
14. 12b
16. 8.3 + x
18. 36c
20. 3k + 12 ⅘
22. 24s
24. x + 16
26. When x = 0.25, the object is the ruler (B). When x = 12.5, the object is the square floor tile (c). When x = 144, the object is the siding for a house (A).
28. 8 • (y • 9) = 72y
30. 13.2 • (1 • x)
32. 2 + c
34. a. x + 37
b. In the expression, 37(14) + 10x; 14 represents the cost of the hats you sold and 10 represents the cost of the hats your friend sold. Therefore, she was selling them at a discounted price.
c. x < or = 51
35. 98
36. 108
37. 90
38. 200
39. 37 is already prime
40. 24 • 32
41. 3 • 72
42. 5 • 41
43. B
3.2 Exercises #4-20 (even), 29, 32, 36-40
4. 3 • 12 or 12 • 3
6. 6 + 10 or 10 + 6
8. 15 + 17 or 17 + 15
10. 5d or d • 5
12. s - 6
14. b2
16. 12 - x
18. t3
20. The expression is not written in the correct order; 16 - x
29. 8x + 6; 46
32. a. 5a - 8 b. 2f + 25 c. Florida has 67 counties. Georgia has 159 counties.
36. 45
37. 59
38. 390
39. 140
40. D
3.1 Exercises #3, 14-20 (even), 43-50, 53. 56-60
3. Decrease; When you subtract greater and greater values from 20, you will have less and less left
14. There is only one term, not 3. Term: 2x2y, Coefficient: 2, Constant: none
16. b3
18. 8w4
20. a2c2
43. 23
44. 8.2
45. 2 ⅚
46. 10 ⅔
47. 22
48. 82
49. 46
50. 48.3
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
2.6 Exercises #18-34 (even), 40-46 (even), 54, 55, 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
44. 9.6
46. About 6.04
54. >
55. <
61. 1 ⅙
62. 1 3/20
63. 1/20
64. 1/24
65. B
2.5 Exercises #17-27 (odd), 36-42 (even), 54-56, 70-74
17. 21.45
19. 13.888
21. 2.4
23. 0.0342
25. The decimal is in the wrong place. 0.0045 • 9 = 0.0405
27. 30.06 lb
36. 0.0000032
38. 2.48
40. 5.6952
42. 117.96438
54. 4.355
55. 23.112
56. 2.016
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 #12-26 (even), 32-54 (even), 58-62
12. 2 11/12
14. 20
16. 3/25
18. ⅔
20. 1 13/15
22. 1/24
24. 26/75
26. 24
32. Yes
34. No; Both fractions are equal to ⅚. The reciprocal of ⅚ is 6/5.
36. 12/5
38. ⅛
40. =; When you divide a fraction by 1, the quotient is a fraction.
42. >; When you divide a fraction by a fraction less than 1, the quotient is greater than the fraction.
44. 1/144
46. 4
48. ⅚
50. 1/10
52. 3
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.
58. 8
59. 6
60. 16
61. 5
62. D
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, 22-32 (even), 37-40
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 that the LCM is 18.
22. 42
24. 36
26. 126
28. Prime factorization because it is tedious to list all of the multiples of two numbers.
30. Sometimes
32. 60 minutes
37. 32
38. 54
39. 175
40. B
1.5 Exercises #13-19, 22-30 (even), 35-39
13. 15
14. 9
15. 9
16. 12
17. 1
18. 1
19. 7 is the greatest common prime factor. The GCF is 2 • 7 = 14.
22. 8 arrangements
24. 6
26. There are many different answers to this. Share your answers with me!
28. Sometimes
30. Never
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 #3, 14-32 (even), 39-44
3. 6, 9 do not belong because it is a factor pair of 54 and the others are factor pairs of 56
14. 1, 59
16. 24
18. 2 • 3 • 5
20. 22 • 3 • 7
22. 5 • 13
24. 9 is not prime. It is equal to 3 • 3. 72 = 23 • 32
26.180
28. 12,584
30. 25
32. 1
39. 6 prisms; There are 6 unique arrangements of length, width, and height using the factors of 40.
40. 145
41. 357
42. 2395
43. 1248
44. B
1.3 Exercises #6-14 (evens), 15-27 (odds), 34-38
6. 8
8. 60
10.6
12. 41
14. 24
15. Addition was performed before multiplication. 9 + 2 • 3 = 9 + 6 = 15
17. 8 pages
19. 25
21. 47
23. 8
25. 22 people
26. 12
27. 1
34. 5.7
35. 6.1
36. 9.6
37. 0.9
38. D
1.2 Exercises #5-13 (odds), 14-24 (evens), 25-39 (odds), 40-44
5. 132
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
40. 84
41. 165
42. 8
43. 7
44. C