A1 3eCSF03 033-044 4/25/02 10:17 AM Page 33 Chapter 3 Answers

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Chapter 3 Answers

Practice 3-1

1a. yes 1b. no 1c. yes 2a. no 2b. yes 2c. yes 3a. no 3b. yes 3c. no 4a. yes 4b. yes 4c. yes 5a. no 5b. yes 5c. yes 6a. no 6b. yes 6c. no 7a. no 7b. yes 7c. no 8. x -5 9. x -5 10. x 3 11. x -8 12. x is greater than 6;

2 1 0 1 2 3 4 5 6 7 8

13. y is less than or equal to -10;

12 10 8 6 4 2

14. 8 is greater than or equal to b;

0 1 2 3 4 5 6 7 8 9 10

15. -4 is less than w;

8 7 6 5 4 3 2 1 0 1 2

16. x is less than -7;

8 7 6 5 4 3 2 1 0 1 2

17. x is greater than or equal to 12;

6 7 8 9 10 11 12 13 14 15 16

18. Let t = temperature (in degrees Fahrenheit); t # 38 19. Let w = weight (in lb); w # 2000 20. Let n = number of students; n $ 20 21. Let n = number of people; n # 250 22. Let s = speed (in mi/h); s # 55 23. Let n = number of points; 450 # n # 500 24. Let c = circumference (in in.); c $ 9.00 25. C 26. D 27. B 28. A

Practice 3-2

1. n 9;

8 9 10 11

2. y 2;

01234

3. r -1.5;

2 1

0

4. b 6;

3

4

5

6

7

Algebra 1 Chapter 3

5. n 214;

1

1 2

0

1 2

1

3 2

6. c -1; 5 4 3 2 1 0 1 2 3 4 5

7. g 1.3; 1 1.2 1.4 1.6 1.8 2

8. d 2.7; 0 0.9 1.8 2.7 3.6

9. f 10; 2 3 4 5 6 7 8 9 10 11 12

10. x -4; 8 7 6 5 4 3 2 1 0 1 2

11. d 5; 2 1 0 1 2 3 4 5 6 7 8

12 m -1; 5 4 3 2 1 0 1 2 3 4 5

13. v 7; 0 1 2 3 4 5 6 7 8 9 10

14. t -13; 15 13 11 9 7 5

15. y 9; 0 1 2 3 4 5 6 7 8 9 10

16. a 4; 0 1 2 3 4 5 6 7 8 9 10

17. d 1; 5 4 3 2 1 0 1 2 3 4 5

Answers

33

Chapter 3 Answers (continued)

18. s 0;

5 4 3 2 1 0 1 2 3 4 5

19. h -4;

8 7 6 5 4 3 2 1 0 1 2

20. t 10;

4 2 0 2 4 6 8 10 12 14 16

21. n + 94 + 82 + 87 - 2 $ 360, where n = number of points; at least 99 points 22. n + 125 $ 140, where n = number of at-bats; at least 15 at-bats 23. s + 19 - 5 $ 32, where s = average wind speed at 8 A.M.; 18 mi/h 24. t + 13.5 # 25, where t = time in minutes; 11.5 min 25. n + 3.5 $ 5, where n = number of miles; at least 1.5 mi 26. 1058 + 44.50 - w $ 1000, where w = amount of money withdrawn; $102.50 27. z 2112;

5 4 3 2 1 0 1 2 3 4 5

28. d -5;

8 7 6 5 4 3 2 1 0 1 2

29. v 2;

5 4 3 2 1 0 1 2 3 4 5

30. m -4;

8 7 6 5 4 3 2 1 0 1 2

31. f -5;

8 7 6 5 4 3 2 1 0 1 2

32. w -3;

4 3 2 1 0 1 2 3 4 33. b 14;

1 2

0

1 2

1

3 2

2

34. t -23;

24 23 22 21 20 19

35. u 2; 5 4 3 2 1 0 1 2 3 4 5

36. z 4; 2 1 0 1 2 3 4 5 6 7 8

37. b 5; 2 1 0 1 2 3 4 5 6 7 8

38. k -2; 5 4 3 2 1 0 1 2 3 4 5

39. a 2; 5 4 3 2 1 0 1 2 3 4 5

40. b 11; 4 5 6 7 8 9 10 11 12 13 14

41. k 11; 10 11 12 13

42. j 1.5; 0.5 0 0.5 1 1.5 2 2.5 3 3.5

Practice 3-3

1. s 34;

1 1 3 1 5 3 7 2 9 5 11

424

424

424

2. b 5;

456

3. r -10;

16 14 12 10 8 6

4. n 20;

19 20 21

5. n 4;

345

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34

Answers

Algebra 1 Chapter 3

Chapter 3 Answers (continued)

6. n -42; 42 40

7. c -4; 8 7 6 5 4 3 2 1 0 1 2

8. d -4; 5 4 3

9. t 15; 10 11 12 13 14 15 16 17 18 19 20

10. k -9; 109 8

11. w 0; 2 1 0 1 2

12. v 2.5; 2 2.5 3 3.5 4 4.5

13. m 10; 7 8 9 10 11 12 13 14 15 16 17

14. p 34; 33 34 35 36

15. v -0.5; 5 4 3 2 1 0 1 2 3 4 5

16. x 45; 40 41 42 43 44 45 46 47 48 49 50

17. d -7; 9 8 7 6

18. x -7; 9 8 7 6

19. c 9; 8 9 10

Algebra 1 Chapter 3

20. a -4;

5 4 3

21. 8h # 40, where h = number of hours; 5 hours 22. 7n $ 28, where n = number of vans; 4 vans 23. .34n # 3.84, where n = number of stamps; 11 stamps 24. 0.5n # 31, where n = number of bricks; 62 bricks 25. 5.5s $ 275, where s = speed in mi/h; 50 mi/h 26. h 19.6;

19

19.5

20

27. x 9;

7 8 9 10 28. a -81;

83 81 29. b 15;

13 14 15 16 30. q -25;

27 25 23 21 19 17 31. b 4;

345

32. c -10; 10 8

33. b -12.4;

14 13.6 13.2 12.8 12.4 12 34. p -3;

5 4 3 2 35. z -5;

119 7 5 3 1 0 1 36. y 42;

32 34 36 38 40 42 44 46 37. k 10;

4 5 6 7 8 9 10 11 12 13 14

Answers

35

? Pearson Education, Inc. All rights reserved.

Chapter 3 Answers (continued)

38. y 34; 31 32 33 34 35 36 37 38 39 40 41

39. b 5; 34567

40. k -3; 5 4 3 2

41. d 4.4; 3.2 3.6 4 4.4 4.8

42. v 7.2; 7.0 7.2 7.4 7.6 7.8 8.0

43. n 5; 3456

44. y 68; 67 68 69

45. k -4; 6 5 4 3 2

Practice 3-4

1. z 3; 1234

2. k 2; 01234

3. y 3; 01234

4. h -1; 2 1 0 1

5. r 3; 2345

6. u 20; 18 19 20 21

7. g 2; 1234

8. h 5; 234567

9. p 5; 34567

10. m 5; 34567

11. a -1; 2 1 0 1

12. t 0; 2 1 0 1

13. x 6; 5678

14. f 4; 3456

15. t -9; 11 9 7

16. c 6; 34567

17. t -6; 7 6 5 4

18. v 1; 1 0 1 2 3

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36

Answers

Algebra 1 Chapter 3

Chapter 3 Answers (continued)

19. 150 + 35n # 850, where n = number of boxes; at most

20 boxes 20. 5(6) + 4n # 62, where n = number of tables

seating four people; no more than 8 tables

21. 5 + 1.25n # 15, where n = number of rides; 8 rides

22. 19.50 + 0.25n # 44, where n = number of miles; 98 mi

23. 3(200) + 5n $ 1000, where n = number of adults; at

least 80 adults

24. b 7 25. n -2 26. d -0.5 27. t -2

28. j -12 29. x 5 30. z 1 31. b 6

32. y -8

33. f 1

34.

k

3 4

35. g 5

36. g -9 37. y 0 38. t -5 39. d 3

40. n 2 41. d 4

Practice 3-5

1. -10 s 0;

108 6 4 2 0

2. -1 x 2; 2 1 0 1 2 3

3. k 4 or k 2; 3 2 1 0 1 2 3 4 5

4. b 20 or b 18; 17 18 19 20 21

5. -3 d -2; 4 3 2 1

6. -6 t 2; 7 6 5 4 3 2 1 0 1 2 3

7. -6 s 4; 8 6 4 2 0 2 4 6

8. j 2 or j -2; 3 2 1 0 1 2 3

9. -2 x 2; 3 2 1 0 1 2 3

10. g -3 or g -3; 5 4 3 2 1

11. -5 y -1; 6 5 4 3 2 1 0

12. f 5 or f -2; 3 2 1 0 1 2 3 4 5 6

13. d 7 or d -1;

2 1 0 1 2 3 4 5 6 7 8 14. -2 h -1;

4 3 2 1 0 1 15. a 1 or a -2;

3 2 1 0 1 2 16. z 1.05 or z -1.95;

1.95

1.05

17. c 3 or c -1;

2 1 0 1 2 3 4

18. h -1 or h 2; 2 1 0 1 2 3

19. -750 # n - 10,000 # 750, where n = number of people; from 9250 to 10,750 people;

9250

10000

10750

20. 25 , 5n , 30, where n = number of miles; between 5 and 6 mi;

2 1 0 1 2 3 4 5 6 7 8

21. 629.4 , 5.5 + w , 630.6, where w = weight in grams; more than 623.9 but less than 625.1g;

623.9 624.5 625.1

22. 500 , 395 + d , 600, where d = dollar amount left to sell; between $105 and $205;

105

205

23. n 1 or n 0;

2 1 0 1 2 3

Algebra 1 Chapter 3

Answers

37

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