7.4 Exercises #6-11, 13-16, 22
6. no
7. yes
8. yes
9. no
10. no
11. yes
13. w is independent and A is dependent
14. s is independent and c is dependent
15. p is independent and t is dependent
16. m is independent and h is dependent
22. c = 1.5t + 5 where t is the number of toppings and c is the total cost of the pizza. I can’t draw the graph on here, but your graph should start at (0,5) and have a line going through points (1, 6.5) and (2, 8).
7.4 Exercises #4, 5, 40-44
4. p = 2w + 10 where p is the perimeter in inches and w is the width in inches. p depends on w.
5. A = 9h where A is the area in square feet and h is the height in feet. A depends on h.
40. 30%
41. 80%
42. 45%
43. 68%
44. A
7.3 Exercises #7-14, 21, 22, 25, 27
7. s = 70
8. t = 30
9. x = 24
10. r = 32
11. a = 4
12. z = 7
13. y = 10
14. k = 6
21. n = 2.56
22. m = 6
25. 3x = 45; 15 teams
27. 9 units
7.3 Exercises #15-18, 36-38
15. x = 15
16. w = 12.5
17. d = 78
18. v = 45
36. b + 8 = 17
37. t/3 = 7
38. C
7.2 Exercises #6-11, 18-20
6. yes
7. yes
8. no
9. no
10. no
11. yes
18. y = 10
19. z = 16
20. r = 22
7.2 Exercises #12-17, 57-61
12. n = 2
13. t = 1
14. c = 6
15. What number plus 5 equals 12? a = 7
16. What number plus 9 equals 18? v = 9
17. 20 is what number minus 6? d = 26
57. 96
58. 208
59. 5
60. 24
61. C
7.1 Exercises #6-16, 19
6. x + 4 = 12
7. y -9 = 8
8. 9b = 36
9. w/5 = 6
10. 54 = t + 9
11. 5 = 1/4c
12. 11 = y/6
13. n - 9 = 27
14. The word is indicates an equal sign, so the equal sign is in the wrong position. n = 12 + 5.
15. 6042 = 1780 + a
16. 90 = 3/4d
19. 326 = 12(14) + 6(5) + 16x
7.1 Exercises #4, 5, 23-27
4. You can run for 21 minutes at a rate of 7 minutes per mile. How far do you run? 3 miles
5. What was the high temperature if it was 4° less than 62℉? 58℉
23. 13
24. 3
25. 28
26. 5
27. B
Ch. 6 Study Guide
1. -4, -2, 0, 1, 3
2. -8, -5, -3, 4, 5
3. I can’t draw the number lines, but you should have graphed 14 and -14 using equal intervals.
4. I can’t draw the number lines, but you should have graphed -40 and 40 using equal intervals.
5. I can’t draw the number lines, but you should have graphed -1 ⅓ and 1 ⅓ using equal intervals.
6. I can’t draw the number lines, but you should have graphed 1.75 and -1.75 using equal intervals.
7. 7
8. 11
9. <
10. >
11. >
12. <
13-16. I can’t show the graph.
13. Point J is on the x-axis between Quadrants I and II.
14. Quadrant II
15. Quadrant IV
16. Quadrant III
17. (-2, -4)
18. (5, -1)
19. a. 3; -2 b. 3; 2 c. the diver on the springboard
20. Sample answer: (1, 4), (6, 4)
21. Mercury has a higher melting point than Radon and a lower melting point than Bromine, Cesium, and Francium.
6.5 Exercises #4-30 (even), 35, 55-59
4. I can’t draw the graph, but you should see an arrow pointing to the right.
6. (-3, -2)
8. (1, 2)
10. (0, -4)
12. (-4, -4)
14. (4, -4)
16. I can’t draw the graph. Point is located in Quadrant II.
18. I can’t draw the graph. Point is located in Quadrant IV.
20. I can’t draw the graph. Point is located in Quadrant II.
22. I can’t draw the graph. Point is located in Quadrant III.
24. The numbers are reversed. To plot (4, 5), start at (0, 0) and move 4 units to the right and 5 units up.
26. I can’t draw the graph. The length of the line segment is 3 units.
28. I can’t draw the graph. The length of the line segment is 9 units.
30. I can’t draw the graph. The length of the line segment is 5 units.
35. a. about 142,000 b. 2011 and 2012 c. about 10,000
55. y - 4
56. 18b
57. x + 9
58. w/3
59. C
6.4 Exercises #8-22 (even), 27-30, 35-37
8. 23
10. ⅙
12. 11
14. 68
16. The absolute value of a number cannot be negative. The absolute value of 14 = 14.
18. =
20. >
22. <
27. -2, 0, I-1I, I4I, 5
28. -4, -3, l-3l, l-4l, l5l
29. -11, 0, I3I, I-6I, 9, 10
30. -20, -19, -18, l-18l, l-22l, l30l
35. sometimes; If the number is negative, then its absolute values greater, but if the numbe3r is positive or zero then it is equal to its absolute value.
36. always; The absolute value is the positive distance from zero on a number line.
6.3 Exercises #8-18, 20-24 (even)
8-9. I can’t draw the number lines. Please check with a neighbor!
10. >
11. <
12. <
13. <
14. <
15. >
16. <
17. >
18. >
20. -3, -2 ½, -2 ⅖, -2 3/10, -2
22. -2, -1.8, -1.75, 0, 1.3
24. Sirius
6.3 Exercises #4, 5, 28-32
4. Sample answer: -½
5. Sample answer: -2 ¼
28-31. I can’t draw the number lines. Please check with a neighbor!
32. D
6.2 Exercises #8-12, 15-21 (odd), 23-25
8. <
9. >
10. <
11. >
12. The student compares 3 and 1, not -3 and -1. Negative numbers behave in an opposite manner to positive numbers. -3 < -1.
15. -4, -3, -2, 1, 2
17. -7, -4, 2, 3, 6
19. -20, -10, -5, 15, 25
21. oxygen
23. always; The opposite of a positive integer is a negative integer. Positive integers are greater than negative integers.
24. never; If an integer is less than its opposite, it must be a negative integer, which is never greater than 0.
25. a. Florida, Louisiana, Arkansas, Tennessee, California
b. California, Louisiana, Florida, Arkansas, Tennessee
c. An elevation of 0 feet represents sea level.
6.2 Exercises #4-7, 29-33
4. >
5. <
6. >
7. >
29-32. I can’t draw the number lines. Please check with a neighbor!
33. B
6.1 Exercises #8-28 (even)
8. -42
10. 17
12. -350
14. 83; -47
16-22. I can’t draw the number lines. Please check with a neighbor.
24. The numbers shown are whole numbers. Positive integers are 1, 2, 3….; they do not include zero.
26. 5
28. -15
6.1 Exercises #4-7, 33-35
I can’t draw number lines so I will describe what yours should look like.
4. A dot on -3.
5. A dot on -6.
6. A dot on 600.
7. A dot on 15.
33. ⅜, ½, ¾, ⅞
34. 4.312, 4.316, 4.32, 4.5
35. B
Ch. 5 Study Guide
1. 3 : 3; For every 3 scooters, there are 3 bikes.
2. 2 : 5; For every 2 starfish, there are 5 shells.
3. 4 : 2, 12 : 6, 36 : 18
4. 2 : 9, 4 : 18, 12 : 54
5. $18.00 per ticket
6. 70 miles per hour
7. 84%
8. 85%
9. 140%
10. 72
11. 15
12. 90
13. 85
14. 40
15. 5.26
16. 25.2
17. Soup A has more sodium because it has 150 mg of sodium compared to 120 mg of sodium per ounce.
18. The 48-fluid-ounce container is a better buy because it costs $0.05/ounce compared to $0.06/ounce.
19. 23/50
20. 8 students
5.7 Exercises #4, 5, 37-41
4. 1 gallon is larger because 1 gallon is 4 quarts and 2 L is about 2.11 quarts.
5. The person weighing 75 kg is heavier because 75 kg is about 167 pounds and that is heavier than 110 pounds.
37. 30
38. 30.55
39. 18
40. 2.56
41. C
5.6 Exercises #2, 11-23 (odd), 28-36 (even)
2. The number (whole) will be less than 52 (part) because 130% (part) is greater than 100% (whole) so 52 will be greater than the number.
11. 21
13. 20.25
15. 24
17. 14
19. 84
21. 94.5
23. The percent was not written as a fraction before multiplying. 40% • 75 = ⅖ • 75 = 30.
28. 90
30. 36
32. 20
34. 20
36. 24
5.6 Exercises #3-10, 54-58
3. 12
4. 4
5. 35
6. 9
7. 9
8. 3
9. 12.5
10. 3
54. 4.8
55. 16.5
56. 6.66
57. 26.28
59. D
5.5 Exercises #8-20 (even), 26-28, 32-36
8. 9/20
10. 3/20
12. 17/50
14. 31/40
16. 2/25
18. 1/400
20. The 225 should be over 100. 225% = 225/100 = 2 ¼
26. 72%
27. 185%
28. 282%
32. 37.5%
33. 81.25%
34. 56.25%
35. 82.5%
36. a. 7/16 b. 27.5%
5.5 Exercises #5-7, 41-45
5-7. I can not draw the model on here. Please have it out for me to check.
41. ½
42. 12
43. 16
44. 1/12
45. D
Ch. 5 Study Guide (5.1-5.4)
1. 3 : 3; For every 3 scooters, there are 3 bikes.
2. 2 : 5; For every 2 starfish, there are 5 shells.
3. 4 : 2, 12 : 6, 36 : 18
4. 2 : 9, 4 : 18, 12 : 54
5. $18.00 per ticket
6. 70 miles per hour
5.4 Exercises #5-11
5. B because you get 33.75 mpg compared to 30 mpg
6. A because you get 18 mpg compared to 15 mpg
7. A because it costs $3/refill compared to $4/refill
8. B because it costs $0.75/can compared to $0.83/can
9. B because it costs $1.75/pound compared to $1.90/pound
10. B because it costs $0.32/slice compared to $0.36/slice
11. The first recipe because in two cups of water there will be 1.5 teaspoons of salt compared to the 1 teaspoon in the second recipe.
5.4 Exercises #3, 4, 19-22
3. Car A because it gets 25 miles per gallon compared to 20 miles per gallon.
4. Car A because it gets 37.5 miles per gallon compared to 32 miles per gallon.
19. 16
20. 18 R26
21. 34 R109
22. B
5.3 Exercises #6-22 (even), 23, 25
6. 150 gallons for every 25 seconds (other answers are also acceptable)
8. 6 necklaces per hour
10. 19 students per class
12. 110 calories per serving
14. $2.50 per ounce
16. 60 beats per minute
18. 30 minutes
20. equivalent
22. equivalent
23. a. 6 minutes b. 10 minutes
25. about 3.88 items per student
5.3 Exercises #3, 4, 28-32
3. Sample answer: 45 words for every 30 minutes
4. Sample answer: 18 students for every 18 computers
28-31. Many answers are acceptable
32. B
5.2 Exercises #8, 9, 12-20 (even), 21-25
8. 6 : 5, 18 : 15, and 36 : 30
9. 3 : 5, 6 : 10, and 9 : 15
12. $68
14. 16 printers
Printers 2 4 8 16
Computers 5 10 20 40
16. 18 girls
Girls 81 9 18
Boys 72 8 16
18. Each part of the original ratio was not multiplied by the same number.
20. 32 rock songs
21. Add the corresponding quantities of Recipes B and D to create Recipe E.
22. Add the corresponding quantities of Recipes C and D to create Recipe F.
23. Subtract the corresponding quantities of Recipe C from Recipe F to create Recipe D.
24. Subtract the corresponding quantities of Recipe C from Recipe F to create Recipe D.
25. Sample answer. Add the corresponding quantities of Recipes B and F to create a batch with 11 servings.
5.2 Exercises #4, 5, 35-38
4. The ratio of baseballs to gloves can be described by 8 : 4, 4 : 2, or 2 : 1.
5. The ratio of ladybugs to bees can be described by 12 : 4, 6 : 2, or 3 : 1.
35. 27(2 + 1)
36. 12(5x - 7)
37. 14(3x + 2y)
38. D
5.1 Exercises #8-20
8. 2 : 6; For every 2 calculators, there are 6 pencils.
9. 3 : 7; For every 3 shirts, there are 7 pants.
10. 3 : 15; 3 out of every 15 movies are dramas.
11. 8 : 15; 8 out of 15 movies are comedies.
12. 15 : 4; Out of 15 movies, 4 are action.
13. 15 : 3; Out of 15 movies, 3 are dramas.
14. 14 out of 35 stamps have celebrities on them.
15. 9 h
16. 4 h
17. 12 : 16
18. 21 states
19. 6 black pieces; The ratio of black to red is 3 : 5, so each part is 16/8=2. So, there are 3 • 2 = 6 black pieces and 5 • 2 = 10 red pieces.
20. 8; The ratio of boys to girls is 5 : 7, so each part is 48/12 = 4. So, there are 5 • 4 = 20 boys and 7 • 4 = 28 girls.
5.1 Exercises #4, 5, 25-29
4-5. I can’t draw the diagrams. Please have them out for me to check! (4. 1:7; 5. 5:4)
25. 4.6
26. 3.29
27. 2.53
28. 1.478
29. B
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 #22-32 (even), 33, 34, 39-49 (odd)
22. 18n +9
24. 90 - 54w
26. 70 + 7x
28. 78 + 6z
30. 25x -25y
32. 13n + 52 + 91m
33. The 6 was not distributed to the 8 inside the parentheses. 6(y + 8) = 6y + 48.
34. a. 30(8 + x) = 240 + 30x b. Sample answer: $2. It is less than the regular price to the exhibit. c. Sample answer: $300; yes
39. 6x + 25
41. 68 + 28k
43. 19y + 5
45. 3d + 1
47. 5v
49. 2.7w - 14.04
3.4 Exercises #5-8, 66-70
5. 63
6. 684
7. 516
8. 440
66. 10.641
67. 34.006
68. 135.213
69. 0.387
70. B
3.3 Exercises #11-23 (odd), 24-28 (even)
11. The groupings of the numbers did not change. The statement illustrates the Commutative Property of Addition because the order of the terms changed.
13. y + 17
15. 63w
17. a + 8
19. 18.6d
21. 4n + 11.4
23. 0
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. 72y
3.3 Exercises #5-8, 35-43
5. Commutative Property of Multiplication
6. Associative Property of Addition
7. Associative Property of Multiplication
8. Commutative Property of Addition
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 #2, 13-19 (odd), 22, 27-31 (odd)
2. The coefficient represents the cost to print each photo, 25 cents.
13. 7 + w or w + 7
15. y + 4 or 4 + y
17. 2 • z or z • 2
19. The expression is not written in the correct order; 8/y
22. a. 1,19; 2, 38; 3, 57; 4, 76; 5, 95 b. 19n
27. y/4 - 3; 2
29. 8x + 6; 46
31. a. 1, $5; 2 $8; 3, $11; 4, $14; 5, $17 b. 2 + 3g c. $26
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
20b. 4 more pictures
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 #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
2.5 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 #1-3, 20-38 (even), 45,55
1. Multiply numerators and multiply denominators, then simplify the fraction.
2. 4
3. Sample Answer: 3 ½ • 3 ¼
20. You did not multiply the denominators. You also did not NEED to find a common denominator.
22. ¼
24. > because 22/15 is more than 1 and when you multiply a number by more than 1, it is going to get bigger.
26. 8/9
28. 2
30. 5
32. 1
34. 3 ½
36. 23 ⅖
38. 7 ⅞
45. a. 7 ft2 b. 10 ⅓ ft2
55. 4 miles
2.1 Exercises #4-11, 60-64
4. 2/21
5. 5/16
6. 1/10
7. 3/28
8. 8/21
9. ⅝
10. 1/24
11. ⅓
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. 2740 lb.
1.6 Exercises #12-18, 20, 25-31 (odd)
12. 63
13. 108
14. 90
15. 55
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 (evens)
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 sq. ft
38. 1165 tickets
1.1 Exercises #8-11, 47-51
8. 2118 + 3391+ 4785 + 6354; 16,648 people
9. 4785 - 3391; 1394 more people
10. 6354/2118; 3 times more people
11. 4785 • 2; 9570 people
47-50. I cannot show a graph here on my website. Please compare with a partner.
51. A