Chapter 11 Answers - Wikispaces

Chapter 11 Answers Practice 11-1

"17 "6 1. 4"2 2. 4"11 3. 7"3 4. 12 5. ab2"b 6. 3 8"7 7. 4"5 8. 3"3 9. 2"2 10. 7 11. 2x2"3 12. 2"2

2"3 2"2a 15. 3"10 16. 2"30 17. a 15 "2 18. 54"2 19. 5"10 20. "5 21. 2"21 22. 5

13. 10"2 14.

23. 4s"3s 24. 6"6 25. 5"21 26. 4"10 27. 2"3

All rights reserved.

28. 2n"2n 29. 2"34 30.

3x"3 31. mn"m 32. 2"5 16

"17 33. 12 34. 300 35. 8 36. 5"2 37. 4"3 38. 2"5 "7 "17 39. 2"2 40. 5x 41. 3 42. 8 43. "6 44. 2"3 5"2 45. 2 46. 5"3 47. 10"3 48. 7a"a 49. 5"5 7"3 "15 50. 2x2"7 51. 3 52. 7 53. "5 54. "3

Practice 11-3 1. 64 2. 4 3. 2 4. 16 5. 4 6. 4, 7 7. 144 8. 4, 8 9. 5, 8 10. no solution 11. 22 12. 5 13. -2 14. 1 15. 4 16. 1 17. 8 18. 4 19. 11 20. 4 21. 6 22. 27 23. 2 24. no solution 25. 40 26. 10 27. 24 28. 5 29. 3 30. no solution 31. no solution 32. 8 33. 45 34a. 40 ft 34b. 5 s 35a. 16°C 35b. -17°C 36a. 3 m 36b. 12 N

Practice 11-4

1. x 7 2. x 4 3. x 211 4. x 12 5. x -14 4 6. x -8 7. x 213 8. x 0 9. x 0 5

10.

63. a2b3"a 64. 24x"15 65. 12 66. 18 67. 245

24

11.

y 8 4

72. 2"14 73. x"15 74. 20 75. 8"6 76. 84"6

© Pearson Education, Inc., publishing as Pearson Prentice Hall.

16

16

68. 4"7 69. 125 70. 2x3y3"2y 71. 4a2"5a

10"x 3"2x 2"5 3"35x 77. x 78. 2x 79. 80. 23 81. 10x 5 "10y 82. y

8

x 24

8

55. "2 56. 6x"2x 57. 5y"2y 58. 3xy"5y

2x"11 2"3x 59. 60. 3x 61. 12"5 62. b"ab 3

y O

x O

4

8

12. 8

y

Practice 11-2

1. 8"7 2. 18 3. 8"2 1 8"6 4. 5"5 5. 19"11 6. 2"6 2 8 7. 5"7 8. -5"6 9. 3"2 2 6 10. -2"2 11. 8"2 12. 2"15 13. 24"3 2 21 14. 16"5 1 40"2 15. 5"21 16. 7"6 1 9"2 17. 32 - 24"2 18. 22"3 19. 21"3 20. 18"26 21. 3"10 2 4"15 22. 4"2 23. 3"13 24. 4"6 25. 7"7 26. -4"13 27. 32"10 28. -9"2 2 9 29. -3"29 30. 8"6 31. 3"3 32. 18"2 1 18 33. 19"35 34. 5"19 35. 24 36. 4 - 14"2 5"7 1 5"3 37. 2"3 2 "2 38. 4 39. 42. 45.

23"5 1 15 23 Q "5 2 5 R or 40. 15 2 6"6 41. 80 20 20

4 x 8

4

O

4

4

13. 4

y x

4

O

4

4 8

27"2 2 7"7 43. 3 + "6 44. 4 Q "6 1 3 R 5 14 2 9"2 46. 18 + 18"5; 58 in. 17

47. 7 + 7"5; 23 ft 48. 20 + 20"5; 65 ft Algebra 1 Chapter 11

Answers

33

4 O

15.

28a.

y

8

16

x 24

16

x 24

y 4 O

16. 8

8

y

10 8 6 4 2

d 500 1000 1500

29b. 7.9 s 29c. 1600 ft

O

12

28b. 782 people 28c. 3 mo 29a. t

O

4

17.

n 800 700 600 500 400 300 200 100 O t 2 4 6 8 10 2

4

8

x 12

Practice 11-5 9 3. 40 4. 9 5. 40 6. 9 7. 1.6643 1. 40 2. 41 9 40 41 41 41 8. 0.9659 9. 0.1392 10. 0.9744 11. 0.5299 12. 2.3559

y

13. 0.9563 14. 0.8090 15. 0.3443 16. 0.5299 17. 10.1

8

18. 12.7 19. 25.4 20. 22.5 21. 3.8 22. 40.2 23. 16

4

16 26. 63 27. 16 28. 63 29. 20 ft 24. 63 25. 63 16 65 65 65

O

18. 12

8

16

x 24

y

Practice 11-6 1. 11.1 ft 2. 30.8 ft 3. 4346 ft 4. 2428 ft 5. 57.4 ft 6. 33.69º 7. 21.4 ft

Reteaching 11-1

8

5"3 3 4"5 "14 "5 "6 7. 4"7 8. 9. 10. 8 11. 2 12. 43 5 5

1. 2"6 2. 30 3. 16"5 4. 6"3 5. 3"2 6.

4 O

65

4

8

x 12

19. shift down 9 20. shift down 8 21. shift left 20 22. shift right 19 23. shift left 18 24. shift right 32 25. shift up 11 26. shift left 14 27. shift right 4 and shift down 7

Reteaching 11-2

1. 4"6 2. 10"3 3. 4"3 4. 4"3 5. 7"6 6. 4"7 7. 5 + 2"5 8. 1 9. 2 - "6 10. 17 1 4"15 11. 14 1 2"10 12. 6 1 "3

Reteaching 11-3

1. 27 2. 11 3. no solution 4. 4 5. 2 6. 5 7. 35 3 8. 5 9. 12

34

Answers

Algebra 1 Chapter 11


14.

(continued)


Chapter 11 Answers

Chapter 11 Answers

(continued)

Reteaching 11-4 1.

y

3

1O

4321 1 2 3


3.

4.

6. 1 2 3 4 5 6

2

1

6

O

2

2

25 10º

x

x

1 2 3 4 5 6

Enrichment 11-1 1. 1, 16, 81, 256, 625 2. 4096 3. 10,000 4. 14,641 5. 20,736 6. 50,625 7. 160,000 8. 16 = 24 9. 1296 = 64 10. 256 = 44 11. 2401 = 74 12. 6561 = 94 13. 10,000 and 100,000,000 14. The power of 10 and the number of zeros must be a multiple of 4. 15. 1012 = 1,000,000,000,000

x 1 2 3 4 5 6

y

1. 1 chip, 1 bite, and 12 nugget 2. $8 3. $48.90 4. 1 dime 5. 2 zips, 3 bites, 3 nuggets, and 1 chip

Enrichment 11-3

2

1. 97.4 cm 2. 54.8 cm 3. 4 full swings 4. The period will increase to 4.9 s. 5. The period will decrease to 1 s. 6. 5 full swings 7. It is 219.08 cm, 4 times the length of the clock in Exercise 2.

x

4

O

9. 6

2

4

6

10.

y

y

Enrichment 11-4

2 4 4

2

11. 6

O

Enrichment 11-5

2

x 2

1. Check students’ work. 2. Check students’ work.

x

2 4

1. 43 2. 54 3. 53 4. 34 5. 53 6. 54 7. tangent 8. cosine 9. sine 10. c 11. a 12. d 13. e 14. f 15. b

O

12.

y

141.8 yds

4

6x

4

123.8 m

x 22º

Enrichment 11-2

8.

y

1.

2.

y 5 4 3 2 1O

x

Reteaching 11-6 50

1

7.

x

y 5 4 3 2 1O

x

y 1O

1. 3 2. 4 3. 34 4. 4 5. 43 6. 3 5 5 5 5

1 2 3 4 5 6

1 2 3

1 2 3 4 5 6

1 2 3

1 2 3 4 5


y 3 2 1O

x 1 2

y 3 2 1O

5.

Reteaching 11-5 2.

6

4

4

2

2

y

Enrichment 11-6 1. 119.2 ft 2. 90 ft 3. 29 ft x

x O

2

4

6


4

2

O

Answers

35

Chapter 11 Answers

(continued)

Chapter Project Activity 1: Writing

20

h 5280 ft; multiply 15 ft by 1 mi ; 5280 ft 5280 mi

d

8

d

Distance (mi)

r

6

d

4523 h 330

4 2 0

h 0

2 4 Height (ft)

6

h2 1 rh r 2 1 d 2 5 a h 1 rb ; d 5 2640 5280 Ä 52802

✔Checkpoint Quiz 1

Activity 2: Calculating

6. 7Í 3 7. Í

2

A reasonable height would be less than 7 ft. Since for small values of h, d 5

h2 < 0 52802

h2 1 rh < rh . 2640 Ä 2640 Ä 52802

Activity 3: Researching Mercury: 1516 mi, Venus: 3760 mi, Earth: 3960 mi, Mars: 2106 mi, Jupiter: 43,441 mi, Saturn: 36,184 mi, Uranus: 15,759 mi, Neptune: 15,301 mi, Pluto: 743 mi (All are mean radii as given in The World Almanac and Book of Facts, 2001.)


h your height (ft) r radius of the planet (mi) d distance you can see (mi)

1. 24Í 11 2. 4Í 5 3. 12tÍ 2 4. 5Í 2 2 10 5. 12 1 2Í 35 7 8. 12Í 3 9. 5 Q Í 3 1 Í 2 R 10. 44 3a

3x

11. no solution

✔Checkpoint Quiz 2 1. x 3 2. x 25 3. x -9 4. 5 2

13

5. 5

13

6. 5

12

7. 26.3 8. 13.3 9. 118 ft 10. The graph would be shifted two units to the right and five units up.

Activity 4: Communicating d 2 , about 32.7 ft, about 3.6 ft. Check students’ work; h 5 2640 r

12

y

8

On Earth, no one is tall enough to see such a distance from sea level. On Saturn, a person about 3.6 feet tall could see such a distance.

4

Activity 5: Graphing

O

4

8

x 12

Answers may vary. Sample:

Chapter Test, Form A

Distance (mi)

Earth: d 5 3h , Saturn: d 5 4523 h Ä 2 Ä 330 ; Visible Distance on 4

d

Earth to Horizon d

3b 2

2 0

36

1. 4Í 3 2. 2nÍ 3 3. 4a 4. 230x 2Í 2 5. 14Í 5

6. Í

3b 7. 4Í 7 8. 4x 2y 2Í 3y 9. Í 2 10. 3 b 5 3 3 4 4 4 11. 12. 13. 14. 15. 4 3 5 5 5 16. m&E = 28°, ED = 8, FD = 4

17. m&D = 75°, EF = 432, DF = 112, 18. 23Í 10 h 0

2 4 Height (ft)

Answers

6

"21 20. 4Í 10 1 4Í 5 21. 2"30 22. 32"2 1 6 6 5 7"3 23. 47"2 24. "7 25. 5 Q "2 1 3 R 26. 3 - 3

19.



h 5280

; Check students’ work.

Visible Distance on Saturn to Horizon

Chapter 11 Answers 27.

(continued)

18"5 28. 22 2 8Í 6 29. 3a 5 5

17.

30. Answers may vary. Sample: 8"3x 2 6"3x 5 2"3x 31. 9 32. 65 33. 7 34. no solution 35. 20 36. 2 37. 4 ft 38. The graph would be shifted up eight units. 39. x $ 0; y 2 x 2

O

2

2


18. 40. x $ 0; 6

y

4 2 2

41. x $ 5;

O

x

2

y 4


O

4

x 12

8

19. 5"11 20. 8"5 21. 2 2 "6 22. 8 2 "14 3"7 2 3"5 24. -8 25. 9 26. 2 2 27. 280.75 ft

23. 42. x $ -2;

y

Alternative Assessment, Form C

2

TASK 1 Scoring Guide:

x 2

O

a. "8 ? "32; "8 1 "32; "8 2 "32; "8 4 "32

2

2

b. Answers may vary. Sample: Simplify each radical term,

"3Vph 44. 128 ft 45. 11.6 46. 16.68 ph 12 5 0.7194 49. 92.38 ft 47. 12 5 1.034 48. 16.68 11.6 50. 6.4, 10.2

43. r 5

then combine like terms. c. 16; 6"2; 2 2"2; 21 3 Student’s expressions are written correctly. Steps for simplifying are correct and make sense. All expressions are simplified correctly.

2 Student’s expressions are written correctly. Steps are mostly correct. Most expressions are solved correctly.

Chapter Test, Form B

1. 3"10 2. 4"7 3. 10"3 4. 20"2 5. 2x

2

6. 9x3"3x 7. 2x3"6 8. 15 9. 55x"2 10. 3"y

11. 2"3 12.

4" 6 13. x 10 14. x -5 3

1 Student’s steps could have more detail. Some expressions are solved correctly; minor and major errors are present.

0 Student makes no attempt, or no response is given.

15. 27.2 16. 6


Answers

37

Chapter 11 Answers

(continued)


3 Student writes functions that accurately meet the


3 All calculations are correct. Diagram correctly matches

conditions. Graphs are drawn correctly, and appropriate scales and labels are chosen.

2 Student writes functions that meet the conditions except for minor errors. Graphs are correct except for minor problems with scale or labels.

problem. Work clearly demonstrates student’s mastery of mathematical principles involved.

2 Calculations are mostly correct. Diagram is complete but may contain errors. Most concepts are understood.

1 Calculations contain errors. Diagram is incomplete.

1 Student writes one or more functions that do not meet the stated conditions. Graphs are incorrect.

Some concepts are understood.

0 Student makes no attempt, or no solution is present.

0 Student makes no attempt, or no response is given.

3 Student writes statements that fully explain the similarities and differences for all three ratios. Student also writes problems that demonstrate how to apply trigonometric ratios. All problems are solved correctly.

2 Student writes statements that are clear and useful but might not contain enough detail. Problems show understanding and are mostly solved correctly.

Chapters 1–11 Cumulative Review 1. B 2. J 3. A 4. J 5. B 6. F 7. C 8. H 9. A 10. H 11. A 12. J 13. 1 14. 0 15. 6.7 16. 31 17. -4 18. 15 19. 89 20. 13 21. y 5 22 x 1 13 22. -x + y = 2 3 3 23. c

22 1 d 24. 9x4 - 4x2 - 1 25. x(9x2 + 2)(6x + 1) 4 2 26. 2(8x2 + 12x - 13)



1 Student writes statements that are adequate but are inconsistent or incomplete or lack organization and thought. Problems contain errors.


0 Student makes no attempt, or no solution is present.

38

Answers


Chapter 11 Answers - Wikispaces

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