Chapter 1 Answers - · PDF fileMartin-Gay Prealgebra Edition 5 381 Chapter 1 1.2 1. words 2....
Transcript of Chapter 1 Answers - · PDF fileMartin-Gay Prealgebra Edition 5 381 Chapter 1 1.2 1. words 2....
Martin-Gay Prealgebra Edition 5 381
Chapter 1 1.2 1. words 2. standard form 3. expanded form 4. period 5. place value 6. whole 7. ten 8. thousand 9. ten thousand 10. four hundred three 11. twenty-three
thousand, eight hundred thirty-one
12. sixteen million, three hundred ninety thousand, five hundred sixty-nine
13. thirteen thousand, one hundred twenty-six
14. one thousand, eight hundred eighty-three
15. 9816 16. 3,255,012 17. 10,000 + 3000 +
200 + 9 18. 3000 + 900 + 20 + 1 19. 10,000,000 +
2,000,000 + 300,000 + 9000 + 100 + 40 + 1
20. women 21. 135 22. 176 23. 9999 24. 9876 25. no, two hundred six
Answers 1.3 1. addend, sum 2. perimeter 3. minuend, subtrahend,
difference 4. commutative 5. associative 6. 27 7. 6203 8. 798 9. 29 10. 1109 11. 12,899 12. 42 inches 13. 34 yards 14. 2186 15. 96 16. 56,703,038 17. $389 18. car payment 19. $515 20. $173 21. 89, 184 minuend, 95
subtrahend, 89 difference
22. 5
1.4 1. exact, estimate 2. Rounding 3. 400 4. 1000 5. 70 6. 130,000 7. 4390; 4400; 4000 8. 123,490; 123,500;
123,000 9. 28,950; 29,000;
29,000 10. 148,820; 148,800;
149,000 11. $250,000 12. 180 13. 190 14. 1200 15. 0 16. 1860 miles 17. $1180 18. answers will vary 19a. 2650 b. 2749 20. 340 feet
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Martin-Gay Prealgebra Edition 5 382
Chapter 1 1.5 1. product, factor 2. commutative 3. associative 4. area 5. distributive 6. 17 7. 23 8. 0 9. 0 10. 3 ⋅ 5 + 3 ⋅ 8 11. 12 ⋅ 9 + 12 ⋅ 4 12. 81 13. 3856 14. 3612 15. 1,157,958 16. 21 square inches 17. 875 square feet 18. 1394 19. 1242 20. 240 calories 21. $3024 22. 11,640 square feet 23. 6400 24. 2 + 2 + 2 + 2 + 2
Answers 1.6 1. undefined 2. quotient, dividend,
divisor 3. 6 4. 9 5. 9 6. 0 7. 42 8. 1 9. 0 10. undefined 11. 28 12. 234 13. 75 14. 14 15. 18 R 2 16. 321 17. 62 R 8 18. 115 R 5 19. 583 R 8 20. 8 21. $185,000 22. yes, 3 yards left
over 23. 24 24. 8 feet 25. answers will vary
(cont’d) 1.7 1. base, exponent 2. 63 3. 412 4. 33 532 ⋅⋅ 5. 8 6. 243 7. 12 8. 54 9. 36 10. 192 11. 14 12. 16 13. 11 14. 6 15. 12 16. 28 17. 104 18. 61 19. 3 20. 2 21. 10 22. undefined 23. 100 square feet 24. 256 square feet 25. 70 inches
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Martin-Gay Prealgebra Edition 5 383
Chapter 1 1.8 1. variable 2. equation, expression 3. variable 4. solution 5. 14 6. 47 7. 38 8. 1 9. 5 10. 121 11. 41 12. 126 13. 81 14. yes 15. 4 + x 16. 8 − x 17. x − 7 18. 6x 19. x − 5 20. no, x − 7 and 7 − x
are not the same
Answers Test A 1. eight hundred
seventy-six thousand, one hundred twenty-four
2. 72,008 3. 226 4. 105 5. 9300 6. 133 R 26 7. 432 8. 15 9. 0 10. undefined 11. 1 12. 22 13. 80 14. 35 15. 1 16. 59 17. 160,000 18. 11,800 19. 4 20. 59 21. 84 22. 17 23. $18 24. $35 25. $196 26. $907 27. area = 64 square
feet, perimeter = 32 feet
28. area = 96 square feet, permenter = 40 feet
29. 12 30. 2 31. 10 + x 32. 6x 33. yes
(cont’d) Test B 1. b 2. a 3. d 4. b 5. d 6. a 7. d 8. b 9. a 10. c 11. c 12. a 13. b 14. d 15. c 16. b 17. a 18. b 19. b 20. c 21. a 22. b 23. a 24. c 25. d 26. b 27. c 28. a 29. d 30. c 21. b 32. a 33. b
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Martin-Gay Prealgebra edition 5 384
Chapter 2 2.1 1. integers 2. opposites 3. signed numbers 4. absolute value 5. −8 6. 2 7. 8. > 9. > 10. < 11. 4 12. 1 13. 0 14. −8 15. 6 16. 0 17. 18 18. −3 19. −6 20. < 21. > 22. Day 1 23. −4, −(2), 1, −(−3),
|−4| 24. False 25. answers will vary
Answers 2.2 1. 0 2. 1 3. −3 4. 1 5. 4 6. 14 7. −3 8. −17 9. −2 10. −88 11. −4 12. 3 13. 0 14. −5 15. 3 16. 22 feet 17. −3500 18. $9500 19. answers will vary 20. answers will vary
2.3 1. −3 2. 0 3. 4 4. −11 5. 6 6. 10 7. −3 8. −1 9. −3 10. 52 11. −9 12. −2 13. −2 14. −12 15. 3 16. −19 17. −2 18. 16 19. 5 20. −7 21. 8 points 22. 120° 23. answers will vary 24. answers will vary
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Martin-Gay Prealgebra edition 5 385
Chapter 2 2.4 1. negative 2. positive 3. negative 4. positive 5. 0 6. undefined 7. 18 8. −40 9. 0 10. 60 11. 60 12. 0 13. −16 14. 16 15. 4 16. −16 17. −6 18. undefined 19. −8 20. −1 21. 48 22. 2 23. −12 yards 24. negative 25. positive 26. −1 27. −1
Answers 2.5 1. multiplication 2. division 3. addition 4. subtraction 5. 1 6. −5 7. 4 8. 18 9. 12 10. 64 11. −1 12. 8 13. −56 14. −2 15. −36 16. 75 17. −2 18. −15 19. 8 20. yes
(cont’d) 2.6 1. expression, equation 2. addition 3. multiplication 4. equivalent 5. expression, equation 6. solution 7. no 8. yes 9. −14 10. 14 11. −5 12. −4 13. 7 14. 4 15. 8 16. −27 17. −8 18. 0 19. 200 20. −8 21. answers will vary
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Martin-Gay Prealgebra edition 5 386
Chapter 2 Test A 1. −1 2. −7 3. −10 4. 4 5. −6 6. −1 7. −60 8. −5 9. 29 10. 11 11. 6 12. −1 13. −8 14. −7 15. −12 16. 256 17. 2 18. −10 19. −2 20. −5 21. −12 22. 0 23. 1 24. $445 25. −67 feet 26. 43,973 feet 17. 2 28. −5 29. 32 30. −2 31. −2
Answers Test B 1. b 2. c 3. a 4. b 5. d 6. c 7. a 8. b 9. a 10. a 11. d 12. b 13. d 14. a 15. d 16. b 17. c 18. b 19. c 20. a 21. d 22. a 23. c 24. d 25. b 26. a 27. c 28. a 29. d 30. c 31. b 32. a 33. d
(cont’d)
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Martin-Gay Prealgebra edition 5 387
Chapter 3 3.1 1. combine like terms 2. coefficients variable 3. coefficient 4. unlike, like 5. 10x 6. 6a 7. −y + 3 8. 12x 9. −6x 10. 56b 11. 3x + 12 12. −20x + 15 13. 2x − 2 14. 8x − 18 15. 8x − 13 16. 27x − 9 17. −12b + 8 18. 2xy − 35 19. 19x + 26 feet 20. 50x square inches 21. 700 square feet 22. 110 feet 23. 86x square feet
Answers 3.2 1. simplify 2. −3 3. 10 4. −12 5. 5 6. −2 7. −3 8. 3 9. 4 10. −8 11. −20 12. −4 13. 0 14. −9 15. x + 9 16. x − 17 17. −3x
18. x8−
19. 8x + 25 20. No, 3
3.3 1. 10 2. 2 3. 0 4. 15 5. −3 6. −1 7. 3 8. 25 9. −8 10. −3 11. −8 12. −13 13. −10 14. 8 15. 0 16. −9 17. −8 −12 = −20 18. 12(−3) = −36 19. 4(8 − 5) = 12 20. 11 − 8 = 3 21. 2
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Martin-Gay Prealgebra edition 5 388
Chapter 3 3.4 1. x − 4 = 8
2. 47−=
x
3. 8 − x = −25 4. 4x = 220 5. 2x − 8 = 24 6. 4(x − 3) = 36 7. 3 8. −4 9. 24 10. 9 11. 7 12. 10 13. 1a 14. 26 students 15. Ruth 60 mph, Frank 65 mph 16. $13 for CD’s, $20 for DVD’s 17. 174 cars 18. 60 coats, 12 sweaters 19. $18
Answers Test A 1. −4x + 16 2. −8x + 12 3. 2x − 6 4. 8x + 8 5. 20x − 15 6. −1 7. 9 8. −1 9. 7 10. −2 11. −9 12. 12 13. 7 14. −3 15. −6 + x 16. 7 − 4x 17. 3x + 9 = −7 18. 4x + 6 = 25 19. 8 20. 16 males, 21
females
(cont’d) Test B 1. b 2. d 3. a 4. c 5. a 6. b 7. a 8. d 9. a 10. c 11. b 12. c 13. a 14. d 15. b 16. a 17. c 18. d 19. b 20. b
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389
Chapter 4 4.1 1. fraction, numerator,
denominator 2. proper, improper 3. mixed number 4. numerator: 18 denominator: 29
5. 75
6. 87
7. 8.
9. 519271
10. 2912
11.
12. 13. 1 14. 1 15. 0 16. undefined
17. 726
18. 1156
19. 3
38
20. 723
21. 1035
22. 104
11
23. 1
24. 5
3,53
−−
25.
Answers 4.2 1. 323 ⋅ 2. 22 32 ⋅ 3. 2 ⋅ 5 ⋅ 7 4. 732 3 ⋅⋅
5. 92
6. 31
7. 72
−
8. x2
1
9. xy97
10. yes 11. no 12. no 13. no 14. yes
15. 31
16. 258
17. 4328
18. 169
19. 43
20. yes
4.3 1. multiplication 2. reciprocals
3. 356
4. 24x−
5. 103
−
6. 0
7. x2
1
8. 91
9. 81
−
10. 4
11. 5
4x
12. 25
32x
13. 95
14. 274
15. 161
16. 2
4
abc
17. 31
18. 321 ,
154
19. 40 20. 25 21. 300 calories 22. $5250
23. 1 ,3625 , yes
24. $32
0 1
0 1
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390
Chapter 4 4.4 1. unlike, like 2. least common
denominator 3. equivalent
4. 53
5. 611
6. x4
5
7. 151
8. x2
9. 51
10. 61
−
11. 3
14 +x
12. 54
13. 1
14. 43 inch
15. 76 inch
16. 32 mile
17. 15 18. 12 19. 30
20. 2016
21. 2816
22. 248x
23. 81
24. 545
Answers 4.5
1. 2017
2. 43
3. 21
19y
4. 312
5. 6
18 −b
6. 81
7. 2013
−
8. 6528
9. 2117
−
10. 8
116 −x
11. 51
−
12. > 13. < 14.
125
15. 1211
−
16. 83
−
17. 611−
18. 1032 cm
19. 21 in
20. 3517 , no
(cont’d) 4.6
1. 3
21
2.
41
2
3. 311
4. 211
5. 7
6x
6. 2522
7. 2
8. x3
2
9. 32
10. 21
11. 22556
−
12. 365
13. 361
14. 412
15. 91
16. 1211
17. 3625
18. 245
19. 95
20. 31
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391
Chapter 4 4.7 1. mixed number 2. whole number,
fraction 3. improper 4.
5.
107
6. 767
7. 26
8. 9920
9. 1611
10. 21177
11. 21214
12. 2153
13. 432
14. 52
15. 8324
16. 766−
17. 439
18. 871−
19. 35276−
20. >
Answers 4.8
1. 2019
2. 152
3. 3519
4. 65
5. 21
−
6. 326−
7. 21
8. 5
9. 2110
10. 7
11. 32
12. 5 13. 9
14. 185
15. 6
43 −x
16. 10
58 y+−
17. 359 x+
18. 107x
19. 213 inch
(cont’d) Test A
1. 54
2. 3
19
3. 913
4. 54
5. 8
5x
6. yes 7. 325 ⋅
8. 21
9. 95
−
10. 28
19x
11. x
x5
152 −
12. 145
13. 31
−
14. 41
15. 3526
−
16. 72
17. 0
18. 512
19. 322
20. 21101
21. 301
−
−3 −2 0 1 2 −1
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392
Chapter 4 22.
367
−
23. 32
24. 3
25. 721−
26. 15141
27. 41
−
28. 0
29. 311
30. 212 feet
31. 612 feet
32. 41 square foot
33. 8 pieces
Answers Test B 1. b 2. c 3. d 4. a 5. c 6. b 7. c 8. d 9. a 10. b 11. c 12. a 13. d 14. a 15. d 16. c 17. b 18. a 19. c 20. b 21. d 22. c 23. a 24. a 25. b 26. b 27. a 28. b 29. c 30. a 31. d 32. a 33. c
(cont’d)
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Martin-Gay Prealgebra Edition 5 393
Chapter 5 5.1 1. six and forty-eight
hundredths 2. twenty-four and three
hundred seventy-five thousandths
3. negative seventeen hundredths
4. two thousand and one thousandth
5. one hundred six and four tenths
6. 3.4 7. 5.08 8. 72.317 9. −1.06 10. 2.45
11. 109
12. 54
13. 254
14. 2072
15. 25013
16. < 17. > 18. > 19. 0.37 20. 3.6 21. −2.05 22. 5.1 23. $38 24. answers will vary 25. 0.001, 0.047, 0.072,
0.135, 0.136
Answers 5.2 1. 4.83 2. 6.65 3. 1.81 4. 526.13 5. −8.93 6. −3.09 7. 9.3 8. 97.7 9. 62.81 10. 6.99969 11. −2.33 12. 8.7 13. 5.1 14. 5.3 15. no 16. no 17. 9.8x − 5.8 18. −10.26x − 7.75 19. 6.52 inches 20. 0.48 21. 1.37 inches
5.3 1. sum 2. right 3. left 4. circumference 5. 0.15 6. 0.432 7. 0.244 8. 12.96 9. 0.177 10. 310 11. 0.6 12. 3.94 13. 0.00467 14. 92,960,000 15. −3.68 16. no 17. 24π inches, 75.36
inches 18. 1590.6 calories 19. 4.8 grams 20. 4.3018 inches
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Martin-Gay Prealgebra Edition 5 394
Chapter 5 5.4 1. left 2. division, dividend,
divisor, right 3. 2.39 4. 0.065 5. 3.2 6. 3.45 7. 50,000 8. 5.9 9. 70 10. 8.4 11. 2.6 12. 3.6 13. 0.03621 14. 4.159 15. −0.0135 16. 0.36 17. 2 18. 12 gallons 19. 12.7 20. 7850 yards
Answers 5.5 1. 0.48 2. 0.45 3. 641.0 4. 36.0 5. 3.6 6. 0.28 7. 4.43 8. < 9. > 10. >
11. 0.411, 0.43, 2511
12. 1.36 13. −12 14. 0.84 15. 7.25 square inches 16. 0.96 square yards 17. −8.01 18. −7.4 19. −10.2 20. 0.32 21. 0.15
(cont’d) 5.6 1. −8.1 2. 3.4 3. 3.5 4. −115 5. −8.8 6. 4.15 7. −1.27 8. 19.6 9. 2.4 10. 11 11. 0.2 12. 35 13. 7.78 14. −5.5 15. −1.35 16. 0.04 17. −46.5 18. 144 19. −1.51 20. answers will vary
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Martin-Gay Prealgebra Edition 5 395
Chapter 5 5.7 1. mode 2. average 3. median 4. mean 5. 24 6. 4.9 7. 515.125 8. 125.8 9. 2.85 10. 1.57 11. 27 12. 5 13. 500.5 14. 127 15. 27 16. 5.2 17. no mode 18. no mode 19. 118, 121 20. 20, 20, 23,27
Answers Test A 1. thirty-six and one
hundred ninety five thousandths
2. 1.065 3. 8.215 4. −4.36 5. −13.733 6. 8.673 7. −23.1 8. 47.3 9. 0.92 10. < 11. >
12. 2519
13. 2565−
14. −0.52 15. 0.69 16. −3.21 17. −13 18. 2.9x + 7.78 19. 2.4 20. 1.08 21. 40.8, 47, no mode 22. 35, 42, 48 23. 2.93 24. 9.3 square inches 25. 43.96 yards
(cont’d) Test B 1. b 2. c 3. c 4. a 5. b 6. c 7. d 8. c 9. d 10. b 11. b 12. c 13. d 14. a 15. d 16. c 17. d 18. d 19. a 20. b 21. c 22. b 23. a 24. b 25. c
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Martin-Gay Prealgebra Edition 5 396
Chapter 6 6.1 1. unit 2. division 3. ratio
4. 149
5. 31
6. 52330
7. 4
11
8. 65
9. 116
10. computers 7
printer 1
11. diners 4 table1
12. 12 calories/serving 13. 4 books/student 14. 2 pages/minute 15. 2.4 pages/minute 16. Pete 17. $0.20 per banana 18. $3.60 for 20 ounces 19. $2.40 for 12 pens 20. Miles Miles/gallon 184 30.2 312 30.6
Answers 6.2 1. proportion 2. ratio 3. cross product
4. 12535
257=
5. 15
217
7213=
6. 7
1436=
7. false 8. true 9. false 10. false 11. false 12. 3 13. −20 14. 2 15. −0.9
16. 49
17. 4.7 18. answers will vary 19. answers will vary 20. 0
6.3 1. 10 attempts 2. 64 goals 3. 40 accepted 4. 240 applied 5. 160 miles 6. 4.5 inches 7. 585.6 miles 8. 40 gallons 9. 16,800 square feet 10. 7 bags 11. 28 hits 12. 35 times 13. 1 cup 14. 135 brownies 15. 18 cups of flour 16. 20 weeks 17. 260 pens 18. 63 cheetos 19. 870 mg 20. 6 cups
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Martin-Gay Prealgebra Edition 5 397
Chapter 6 6.4 1. square root 2. radical 3. perfect squares 4. a. leg b. leg c. hypotenuse 5. 222 zyx =+ 6. 7 7. 5
8. 41
9. 76
10. 21
11. 3.873 12. 9.644 13. 4.899 14. 8.602 15. 11.136 16. 10 inches 17. 13 18. 9.7 19. 9 and 10
Answers 6.5 1. similar 2. congruent 3. yes 4. no 5. yes 6. yes
7. 34
8. 23
9. 23
10. 34
11. 11.25 12. 10 13. 8 14. 4.5 15. 8.3 inches 16. 48 feet 17. 64 feet 18. x = 6, y = 7.5 19. answers will vary 20. answers will vary
(cont’d) Test A
1. 1712
2. 65 miles/hour
3. 52
4. 2
5. 97
6. 45 miles/gallon 7. 5 miles/hour 8. 15 applicants/job 9. 16 ounces for $2.06 10. 12 ounces for $1.21 11. true 12. false 13. 6
14. 214
15. 4 16. 3 17. 5 inches 18. 5 hours 19. 750 ml 20. 9 21. 12.767
22. 107
23. 7.81 24. 9 inches 25. 33 feet
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Martin-Gay Prealgebra Edition 5 398
Chapter 6 Test B 1. b 2. a 3. c 4. b 5. d 6. b 7. c 8. d 9. a 10. a 11. b 12. a 13. d 14. c 15. d 16. a 17. b 18. a 19. c 20. d 21. b 22. b 23. c 24. a 25. c
Answers
(cont’d)
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Martin-Gay Prealgebra Edition 5 399
Chapter 7 7.1 1. per hundred 2. % 3. 13% 4. 27% 5. 0.21 6. 0.08 7. 0.034 8. 4
9. 503
10. 5021
11. 2007
12. 91
13. 50% 14. 61% 15. 0.6% 16. 400% 17. 60% 18. 85% 19. 375%
20. 3216 %
21. 42.86%
22. 0.12, 253
23. 4% 24. > 25. <
Answers 7.2 1. is 2. of 3. 0.15x = 80 4. 1.7 = 0.34x 5. 120x = 4 6. 36 = 390x 7. x = 0.1 ⋅ 180 8. x = 0.56 ⋅ 120 9. 180x = 200 10. 300 11. 12 12. 1.5 13. 140 14. 75% 15. 76% 16. 720 17. 24 18. 64% 19. 50% 20. 40% of what
number is 16?
7.3 1. percent, base, amount 2. amount 3. base 4. percent
5. 10072
80=
x
6. 10018
25=
x
7. 10015912
=x.
8. 10039112
=x
9. 100490
70 x=
10. 20 11. 210 12. 50% 13. 200% 14. 105 15. 150 16. 181.3 17. 75 18. 4% 19. 28 20. 120% of 75 is what
number?
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Martin-Gay Prealgebra Edition 5 400
Chapter 7 7.4 1. 640 bulbs 2. 45 defectives 3. 18% 4. 192 pages 5. 400 televisions 6. $160,000 7. $600 8. 15, 25% 9. 4, 20% 10. 14, 40% 11. 3, 30% 12. 16, 40% 13. 27, 18% 14. 20% 15. 20% 16. 15% 17. 10% 18. 33% 19. 15% 20. 100%
Answers 7.5 1. $55.25 2. $4.80 3. $150, $160.50 4. $30, $630 5. $450, $477 6. $379.80 7. $19,000 8. $52.92 9. $45,000 10. $72,000 11. $12,000 12. $180,000 13. $7.36, $84.64 14. $7.20, $40.80 15. $45, $105 16. $130, $520 17. $300 18. $150, $600 19. $54.06 20. 30% followed by
5%
(cont’d) 7.6 1. simple 2. compound 3. compound 4. simple 5. $216, $1016 6. $448, $1148 7. $312, $1512 8. $33, $583 9. $70, $2870 10. $7200 11. $180, $1380 12. $180, $3180 13. $16,325.87 14. $16,376.79 15. $4666.36 16. $35,525.86 17. $1779.04 18. $635.62 19. $12,600.66 20. $2000, 12% for 5
years
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Martin-Gay Prealgebra Edition 5 401
Chapter 7 Test A 1. 0.32 2. 1.5 3. 0.0005 4. 60% 5. 320% 6. 1.2%
7. 259
8. 521
9. 2500
1
10. 28% 11. 85% 12. 162.5% 13. 25%
14. 252
15. 168 16. 2000 17. 25% 18. 9 ml 19. $250,000 20. $617.70 21. 12% 22. $270 23. $720 24. 8% 25. $675 26. $2380.31 27. $1534.95
Answers Test B 1. b 2. c 3. d 4. c 5. a 6. b 7. a 8. c 9. d 10. b 11. a 12. c 13. a 14. b 15. d 16. a 17. c 18. b 19. a 20. d 21. c 22. a 23. b 24. c 25. d 26. a 27. b
(cont’d)
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Martin-Gay Prealgebra Edition 5 402
Chapter 8 8.1 1. pictograph 2. line 3. bars 4. histogram, class
interval, class frequency
5. Texas 6. California 7. $600,000,000 8. bicycling and
basketball 9. 475 calories 10. 25 calories 11.
5 Largest Cities in Texas
0
500
1000
1500
2000
2500
3000
3500
Houston Dallas SanAntonio
El Paso
Pop
ulat
ion
in th
ousa
nds
12. 20 students 13. 15 students 14. 15 students 15. Class Frequency 4 8 4 2 2 16.
Years of Service
0123456789
0 - 4 5 - 9 10 - 14 15 - 19 20 - 24
Years
Num
ber o
f Em
ploy
ees
17. $100,000 18. 4th quarter 19. $200,000,000 20. $600,000,000
Answers 8.2 1. 360° 2. 100% 3. shoes
4. 31
5. 32
6. 31
7. 43
8. algebra books 9. 40% 10. calculus and
statistics books 11. 300 books 12. 120 books 13. 30% 14. 30% 15. action 16. romance
17. 32
18. Quarterly Sales
1st Quarter15%
2nd Quarter15%
3rd Quarter30%
4th Quarter40%
19.
20.
Acres in Gaines County
Peanuts78%
Cotton20%
Wheat2%
8.3 1. x, y 2. origin 3. quadrants 4. (0, 0) 5. plane 6.
(3, 4)
(1, 2)(-2, 3)
(-2, -1)
(0, 4)
7.
(1, 4)
(2, 0)
(2, -1)
(0, 2)
(-3, 4)
8. A (1, 4), B (0, 3), C (2, 1), D (−4, 0), E (−2, −3) 9. F (−2, 3), G (0, −3), H 1, 2), I (2, 0), J (2, −3 10. yes 11. no 12. yes 13. no 14.
(1, 2)
(3, 0)
(0, 3)
Expenses
Housing17%
Transportation
16%
Food28%
Entertainmentt17%
Clothes20%
Other2%
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Martin-Gay Prealgebra Edition 5 403
Chapter 8 8.3 (cont’d) 15.
(-3, 1)
(3, -1)
(0, 0)
16. (1, −4), (−2, 8), (0, 0) 17. (3, 2), (2, 0), (4, 4) 18. (−2, 2), (4, −4), (0, 0) 19. (4, 1), (5, 2), (0, −3) 20. a) II, b) I c) III, d) IV
Answers 8.4 1. horizontal 2. vertical 3.
4.
5.
6.
7.
(cont’d) 8.4 (cont’d) 8.
9.
10.
11.
12.
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Martin-Gay Prealgebra Edition 5 404
Chapter 8 8.4 (cont’d) 13.
14.
15.
16.
17.
Answers 8.4 (cont’d) 18.
19.
20.
(cont’d) 8.5 1. probability 2. probability 3. 1 4. 0 5. o 1o 1 f 1f 2 o 2o f 2f 6. a 1a 1 b 1b 2 a 2a b 2b 7. H HHH H T HHT H T H HTH T HTT H THH T H T THT T H TTH T TTT
8. 61
9. 31
10. 21
11. 0 12.
134
13. 133
14. 136
15. 139
16. 53
17. 101
18. 41
19. 81
20. 83
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Martin-Gay Prealgebra Edition 5 405
Chapter 8 Test A 1. January 2. 200 puppies 3. 50 puppies 4. 2 weeks 5. 8000 6. 4th week 7.
8. 10,000 9. 2005 to 2006 10. 8000
11. 43
12. 32
13. 160 14. 120 15. 12 16. 8 17. Class Frequencies 3 2 6 5 5 1 18.
Life Expectancies
0
1
2
3
4
5
6
7
73 - 74 75 - 76 77 - 78 79 - 80 81 - 82 83 - 84
Years
Num
ber o
f Cou
ntrie
s
19. (3, 1) 20. (0, −2) 21. (−1, 2) 22. (−2, −3)
Answers Test A (cont’d) 23.
24.
25.
26.
27.
(cont’d) Test A (cont’d) 28.
29.
30.
31. H HH H T HT T H TH T TT
32. 31
33. 41
Life Expectancy
72
74
76
78
80
82
Japan Canada UnitedKingdom
UnitedStates
Mexico Country
Years
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Martin-Gay Prealgebra Edition 5 406
Chapter 8 Test B 1. a 2. c 3. a 4. c 5. a 6. c 7. c 8. c 9. a 10. d 11. b 12. c 13. a 14. c 15. a 16. a 17. c 18. c 19. b 20. c 21. d 22. c 23. a 24. c 25. b 26. d 27. c 28. a 29. d 30. b 31. c 32. b 33. a
Answers
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Prentice Hall
Martin-Gay Prealgebra Edition 5 407
Chapter 9 9.1 1. adjacent 2. angle, vertex 3. ray 4. line 5. obtuse 6. acute 7. line, TS 8. ray, MN 9. angle, n PQR 10. line segment, IJ 11. nBAC, nCAB 12. right 13. straight 14. acute 15. obtuse 16. 67° 17. 123° 18. 133° 19. 119° 20. nj = 55°, nk = 35°, nl = 125°, nm = 35°
Answers 9.2 1. circumference 2. perimeter 3. diameter 4. pi 5. 44 yd 6. 152 cm 7. 22 yd 8. 32 in. 9. 31 yd 10. 36 ft 11. 60 yd 12. 80 in. 13. 26 in. 14. 32 mi 15. 60 cm 16. 12.258 ≈π in. 17. 52.5618 ≈π in. 18. 42.93 ≈π ft 19. 98.217 ≈π in. 20. 97.1 ft
9.3 1. square 2. cubic 3. square 4. surface area 5. volume 6. 48 sq m 7. 28 sq in. 8. 90 sq in.
9. 20171 sq ft
10. 84 sq in. 11. 114 sq ft 12. 90 sq cm 13. 480 sq ft 14. 144 cu in., 180 sq in. 15. 729 cu cm, 486 sq cm
16. 7537 cu yd,
7375 sq yd
17. 21238 cu in.,
2117523 sq in.
18. 73251 cu in.
19. 75 cu ft 20. 552 sq ft
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Martin-Gay Prealgebra Edition 5 408
Chapter 9 9.4 1. 6 ft 2. 24 ft 3. 5 in. 4. 78 in. 5. 6 yd 2 ft 6. 5 ft 5 in. 7. 17 ft 8. 2 mi 300 ft 9. 8 ft 2 in. 10. 8 yd 1 ft 11. 6 ft 10 in. 12. 62 yd 2 ft 13. 4800 cm 14. 1.2 m 15. 56.4 m 16. 8000 m 17. 8mm 18. 960 cm 19. 2.1 km 20. 12 sq ft
Answers 9.5 1. mass 2. weight 3. 16 4. 2000 5. 48 oz 6. 7 tons
7. 412 tons
8. 3000 pounds 9. 56 oz 10. 13 lb 11. 2 lb 12 oz 12. 13 lb 8 oz 13. 1 ton 800 lb 14. 0.65 kg 15. 50,000 g 16. 3350 g 17. 7210 mg 18. 8.1 g 19. 1.28 g or 1280 mg 20. 9 kg
(cont’d) 9.6 1. capacity 2. liter 3. 2 c
4. 213 pt
5. 3 gal 6. 9 qt 7. 12 gal 2 qt 8. 11 gal 1 qt 9. 6 c 3 oz 10. 2 gal 2 qt 1 pt 11. 10 gal 2 qt 12. 5000 ml 13. 9 ml 14. 1.5 kl 15. 140 L 16. 980 L 17. 48.9 L 18. 4050 L or 4.05 ml 19. 3000 ml 20. 12.8 L
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Martin-Gay Prealgebra Edition 5 409
Chapter 9 9.7 1. 27.05 fl oz 2. 16.96 qt 3. 228.6 cm 4. 153.23 km 5. 20 oz 6. 440 lb 7. 66.96 mi 8. 20.34 ft 9. 3.25 gal 10. 6.76 fl oz 11. 27 kg 12. 567 g 13. 41°F 14. 80.6°F 15. 190.4°F 16. 122°F 17. 4.4°C 18. 100°C 19. 13.3°C 20. 37.2°C
Answers Test A 1. 72° 2. 159° 3. 30° 4. 48° 5. 125° 6. 12 in. 7. 12 ft 8. C = 75.36 in. A = 452.16 sq in. 9. P = 4.96 ft A = 1.47 sq ft 10. P = 100 ft A = 568 sq ft
11. 7375 cu in.
12. 192 cu in. 13. 48 in. 14. 210 cu ft 15. 64 ft, $224 16. 5 ft 8 in 17. 6 qt 18. 5 lb 19. 6400 lb
20. 433 gal
21. 0.03 g 22. 1400 g 23. 21 mm 24. 0.8 g 25. 930 ml 26. 8 qt 27. 2 lb 10 oz 28. 11 ft 29. 1 gal 1 qt 30. 2.098 km or 2098 m 31. 0.4 cm or 4 mm 32. 23.9°C 33. 65.5°F
(cont’d) Test B 1. b 2. c 3. d 4. a 5. a 6. c 7. d 8. b 9. d 10. b 11. c 12. d 13. a 14. d 15. c 16. b 17. a 18. b 19. c 20. d 21. a 22. b 23. d 24. c 25. c 26. a 27. d 28. b 29. a 30. b 31. c 32. d 33. a
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Martin-Gay Prealgebra edition 5 410
Chapter 10 10.1 1. trinomial 2. binomial 3. monomial 4. terms 5. 92 −− x 6. 16a − 9 7. 127 2 −+ xx 8. 237 2 +− yy
9. 1122 −− xx 10. −3x +5 11. 973 2 ++− xx 12. 2a + 3 13. 1232 −−− xx 14. 37 2 −y 15. 1852 2 +−− aa 16. −11 17. 23 18. −40 19. 4 20. (8x + 3) inches
Answers 10.2 1. 11x 2. 86x 3. 324x 4. 516y 5. 976 yx 6. 1064 yx 7. 18x 8. 36y 9. 40a 10. 20z 11. 34x 12. 1681a 13. 2412 yx 14. 1015ba 15. 3018 yx 16. 16625 bx 17. 8729y 18. 91913648 zyx 19. 1614144 yx 20. 436 ba
10.3 1. xx 1014 3 − 2. abbaab 8168 23 −+− 3. baa 34 126 +− 229 ba− 4. 62 −− yy 5. 688 2 −− xx 6. 40316 2 +− xx 7. 125 2 −x 8. 254016 2 +− xx 9. 94249 2 +− bb 10. 25204 2 ++ xx 11. 2826 2 −− xx 12. 10712 2 −− xx 13. 104121 2 +− xx 14. 254 2 −x 15. 1023 +−− xxx 16. xxx 29196 23 +− − 21 17. 995 23 −+− yyy 18. 273 −x 19. 234 122 xxx −− −x − 21 20. ( )11132 2 +− xx inches
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Martin-Gay Prealgebra edition 5 411
Chapter 10 10.4 1. 6 2. 5 3. 2 4. 6 5. 9 6. 10 7. 5y 8. b 9. yx 2 10. 32x 11. 34x 12. 33x 13. ( )24 −xx 14. ( )79 −yy 15. ( )34 −aa 16. ( )433 2 −x 17. ( )422 2 −− xxx 18. ( )23 314 xx − 19. ( )423 2 +−− aaa or ( )423 2 −+− aaa 20. x + 2
Answers Test A 1. 87 −x 2. xx 24 2 + 3. 2x + 2 4. 933 2 −−− xx 5. 16 6. 13x 7. 35a 8. 627x 9. 56x− 10. 55b 11. 26814144 cba 12. xx 2715 2 − 13. xxx 45355 23 −+− 14. 202 −− xx 15. 10219 2 +− xx 16. 259 2 −x 17. 817216 2 +− xx 18. 2737 23 ++− aaa 19. ( )26 2 −−= xxA in. ( )416 −= xP in. 20. 18 21. 24y 22. ( )35 −yy 23. ( )127 −aa 24. ( )4233 2 −− xx 25. ( )71112 25 +− xxx
(cont’d) Test B 1. b 2. c 3. a 4. c 5. d 6. a 7. b 8. c 9. d 10. b 11. c 12. d 13. a 14. b 15. d 16. c 17. d 18. a 19. b 20. c 21. b 22. a 23. d 24. c 25. a
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