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Chapter 1 Questions Answers 1. 6 2. βˆ’ 12 3. 9 4. 504 5. [40(3 + 11 + 4)] 60 , 12 β„Ž 6. 7. 8. a. $325 b. $357 9. 10. 11. 12. {4} 13. {2} 14. 15.

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Chapter 1 Questions Answers

1. 6π‘š

2. 𝑑 βˆ’ 12

3. 9

4. 504

5. [40(3 + 11 + 4)]

60, 12 β„Žπ‘œπ‘’π‘Ÿπ‘ 

6.

7.

8. a. $325

b. $357

9.

10.

11.

12. {4}

13. {2}

14.

15.

16.

17.

18.

19.

Chapter 2 Questions Answers

1. 𝑠 = 60π‘š

2. 𝑔 = 8𝑝

3. 35π‘Ÿ = 1400; 40

4. 2.5

5. βˆ’

7

6

6. π‘₯ + (π‘₯ + 2) + (π‘₯ + 4) = 78; 24, 26, 28

7. 1

2π‘₯ + 8 = βˆ’2; βˆ’20

8. 0.5

9. 3

14

10. $15

11. 29

17

12. 2

25

13. 4

14. 4.5

15. 18

16. |π‘₯ βˆ’ 3| = 5

17. |π‘₯ + 2| = 7

18. 3.19

19. 35.25

20. 54

21. 35 inches

22. $460

23. $70.40

24. 44.39 lb

25.

26.

27.

28. 2.86 kg

29. 8.8 𝑓𝑑2/π‘šπ‘–π‘›

30. 8.125 mL

Chapter 3 Questions Answers

1. No

2. Yes; 6π‘₯ βˆ’ 𝑦 = βˆ’14

3.

4.

5. 3.5

6. No solution

7.

8.

9.

10. a. 2.5 mph

b. Yes, between 8 – 10 AM

11. Constant of Variation: 1/3, Slope: 1/3

12. Constant of Variation: -4, Slope: -4

13. 𝑦 = βˆ’

2

3π‘₯; 2

14. 𝑦 = 7π‘₯; 0

15. No, there is no common difference

16. Yes, the common difference is 3.

17.

18.

19.

b. 𝑦 = 8π‘₯

c. 88 papers

20. 𝑓(π‘₯) =

1

3π‘₯ βˆ’ 1

21. 𝑓(π‘₯) = βˆ’2π‘₯ + 1

Chapter 4 Questions Answers

1. 𝑦 = 6π‘₯ βˆ’ 4

2. 𝑦 =

1

3π‘₯ + 3

3. 𝑦 = 2π‘₯ βˆ’ 1

4. 𝑦 = π‘₯

5. a. 𝐢 = 4𝑏 b. $80

6. 𝑦 =

1

4π‘₯ βˆ’

1

2

7. 𝑦 =

2

5π‘₯

8. 12π‘₯ βˆ’ 𝑦 = 2

9. 2π‘₯ βˆ’ 7𝑦 = βˆ’18

10. 𝑦 =

1

4π‘₯ +

19

4

11. 𝑦 = 3π‘₯ βˆ’

1

4

12. Perpendicular

13. Perpendicular

14. Austin and Travis will receive curbs first because they are parallel

Chapter 5 Questions Answers

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13. 36 + 0.5π‘₯ ≀ 38; π‘₯ ≀ 4; π‘†π‘Žπ‘š π‘π‘Žπ‘› 𝑏𝑒𝑦 4 π‘‘π‘œπ‘π‘π‘–π‘›π‘”π‘ 

14.

15.

16. a. {π‘₯|16 < π‘₯ < 32}

17.

18.

19. a. $14 ≀ 𝑐 ≀ $17

b. $16.75 ≀ 𝑏 ≀ $21.25

20.

21.

22.

23.

24. a. 20π‘₯ + 30𝑦 > 975

Chapter 6 Questions Answers

1. Consistent and independent

2. Inconsistent

3.

4. (-1, 4)

5. No solution

6. (βˆ’

7

33,17

33)

7. Infinitely many solutions

8. Apple, $0.30; Orange, $0.50

9. (βˆ’12,

40

3)

10. (0, 2)

11. 4 and 10

12. (2, 1)

13. (βˆ’

2

3, βˆ’

4

3)

14. Ride, 3 tickets; game, 1 ticket

15. Lawns, 3; dogs, 6

16. Elimination by Addition, (βˆ’4, 14)

17. Substitution, (2, 5)

18. π‘Ž. 10π‘₯ + 4𝑦 = 52, 15π‘₯ + 2.5𝑦 = 67.5 b. 4 hours, 3 children

19.

20.

Chapter 7 Questions Answers

1. 16π‘₯5𝑦9𝑧

2. 18π‘Ž3𝑏2𝑐3𝑑4

3. 5π‘Ž6𝑏5𝑐5

4. 15

2π‘₯3𝑦4𝑧5

5. 3𝑝2

5π‘šπ‘›π‘ž5

6. π‘₯3

8𝑦5

7. 2𝑑5

7π‘Ž3𝑏5𝑐7

8. 5π‘₯7

6𝑦7𝑧7

9. √133

10. √7π‘˜

11. (17π‘Ž)

12

12. 3(2π‘₯𝑦𝑧2)

12

13. 3

5

14. 0.1

15. 16

16. 625

2401

17. βˆ’

1

4

18. 1

3

19. 2.21 Γ— 1010

20. 3.088 Γ— 10βˆ’9

21.

22.

23.

24.

25.

26. 3648 residents

27. $4907.71

28. 248 players

29.

30.

31. Do Not Answer

32. Do Not Answer

33. Do Not Answer

34. Do Not Answer

35. Do Not Answer

36. Do Not Answer

Chapter 8 Questions Answers

1. 9𝑔3 + 2𝑔2 + 4𝑔 βˆ’ 12

2. 2β„Ž2 βˆ’ 16

3. 3

2𝑛5𝑝4 βˆ’

5

2𝑛4𝑝5 βˆ’ 4𝑛4𝑝2

4. βˆ’18𝑗3 βˆ’ 2𝑗2π‘˜2 βˆ’ 4π‘—π‘˜2

5. -2

6. -5

7. βˆ’15𝑑2 βˆ’ 86𝑑 βˆ’ 32

8. 2𝑝2 +

65

4𝑝 + 2

9. (80 + 2π‘₯)(100 + 2π‘₯); 4π‘₯2 + 360π‘₯ + 8000

10.

11.

12.

13.

14. 4π‘š2𝑛2(π‘š + 4𝑛 βˆ’ 2π‘šπ‘›2)

15. 3𝑗2π‘˜2(4𝑗2π‘˜2 + 12𝑗 βˆ’ π‘˜3)

16. (π‘₯ + 3𝑦)(π‘₯ βˆ’ 4)

17. (2π‘Ž + 3𝑏)(2 βˆ’ 5𝑏)

18. a. 7.2 feet

b. 1.8 seconds

19. (𝑑 βˆ’ 3)(𝑑 + 5)

20. (𝑑 βˆ’ 7)(𝑑 + 4)

21. (π‘š βˆ’ 2)(π‘š + 7)

22. (π‘₯ βˆ’ 9)(π‘₯ + 5)

23. -4, 1

24. -3, -6

25. -2, 3

26. -5, 3

27.

28.

29.

30.

31. a. 4 feet

b. 8 feet

32.

33.

34.

35.

36.

37.

38. a. 1.25 seconds

b. About 1.14 seconds

39.

40.

41.

42.

Chapter 9 Questions Answers

1.

2.

3.

4.

5. a. 44 feet

b. 1.875 seconds

6. -2, 1

7. -3, 1

8. About 2.7 seconds

9.

10.

11. A

12. B

13. D

14. C

15. After 7 hours

16. -6.1, 2.1

17. -3.4, 1.8

18. 4

19. -4.5, 1.1

20. 0.8, 15.2

21. 0, one real solution

22. -15, no real solutions

23. N/A

24. N/A

25. N/A

26. N/A

Chapter 10

Questions

Answers

1.

2.

3.

4.

5. About 14.19 seconds

6. 12√21

7. 3π‘₯2𝑦𝑧3√5𝑦

8. 42 + 7√10

26

9. 24 βˆ’ 3√14

50

10. 21√2

11. 12 + 9√2

12. 252

13. 20√3

14. βˆ’

2√3

3

15. 20√5 βˆ’ 28√3

16. 51√5 + 15√10

17. 8

18. 129

19. 6 + 2√15

20. -3

21. 2

22. 8

23. 13.89

24. 12

25. 3.35 inches

26. 0.6157

27. 0.5317

28. 0.2924

29. 0.2588

30. 1.4281

31. 0.9063

32.

33.

34. 135.2 feet

Chapter 11

Questions

Answers

1. N/A

2. N/A

3. N/A

4. 5

5. 1

6.

7.

8.

9. -3, 3

10. βˆ’

7

2, 4

11. 4

12. βˆ’

3

2, 4

13. 4, -2

14. -2

15. -2, 0

16. 2𝑏

9π‘Ž3

17. 3𝑑 βˆ’ 4

3(𝑑 βˆ’ 3)

18. 14π‘₯3𝑦2

5𝑧3

19. 2(𝑔 βˆ’ 1)

3(β„Ž + 2)

20. 281.25 inches

21. π‘₯ βˆ’ 1

22. π‘š + 2

π‘š

23. 2𝑔 + 1

24. 19

3𝑔

25. 2𝑛 βˆ’ 1

𝑛 + 2

26. π‘˜2 βˆ’ 4π‘˜ + 12

(π‘˜ + 2)(π‘˜ βˆ’ 2)

27. 2𝑝2 βˆ’ 2𝑝 + 1

(𝑝 βˆ’ 2)(𝑝 + 3)(𝑝 βˆ’ 3)

28. 14.5

1.5π‘₯

29. 1

83

115

30. 6(π‘Ž + 2)

(π‘Ž + 1)2

31. -1 or 2

32. 4

33. -2

34. 3

2

35. 1.2 hours