Chapter 3 Answers

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Chapter 3 Answers

Practice 3-1

1. Independent 2. Inconsistent 3. Dependent 4. Independent 5. Dependent 6. Independent 7. Independent 8. Inconsistent 9. Independent 10. Inconsistent 11. Independent 12. Dependent 13a. Income: y = 2000x - 500, where x = 1 represents May; Expenses: y = -2600x + 24000, where x = 1 represents May 13b. October (the sixth month) 14. (6, 4) 15. (5, 2) 16. (12, 1) 17. (2, 1) 18. (1, -2) 19. (2, 3) 20. (-4, 0)

21. (-1, 3) 22. a 23, 24b 23. (-8, -1) 24. (2, 2)

25. (5, 1)

Practice 3-2

1. (6, 4) 2. (4, 1) 3. (5, 2) 4. (1, 2) 5. (4, 3) 6. a5, 215b

7. (1, 1) 8. (2, -2) 9. (5, -2) 10. C = 525 + 150p; I = 325p; three performances 11. (2, 3) 12. (4, 6) 13. (0, 3) 14. (-3, 5) 15. (4, 1) 16. (6, 3) 17. (2, -2) 18. (3, 0) 19. (-4, -4) 20. 8r + 1g = 4.60,

6r + 3g = 4.80, where r represents number of oranges and

g represents number of grapefruits; oranges = $.50,

grapefruits = $.60 21. (1, 4) 22. (-2, 3) 23. (0, 3)

24. (1, -2)

25.

e (x,

y):

y

5

2 15x

1

1 5

f

26. (-4, 5)

27. (-3, 2) 28. No solution 29. (2.25, 0)

Practice 3-3

1.

y

6

4

O

642 2 4 6

x 46

2. 6

y 6 4

O

x

2 2 2 4 6

4

6

3.

y

8

4

O

x

642 2 2 4

4.

y

8

6

4

2O

x

642 2 4 6

4

5.

y

2

6.

y

6

4

2 O 2

x 2

O

42 2 4 6

x 48

7.

y

6

8.

y

6

4

4

O

x

2O

x

42 2 2 4 8

42 2 2 4 6 8

6

6

9.

y

10. y

2

2

x

2 O 2

O

2

x 246

11.

y

12.

y

x

2

2 O

2

x

2

2 O 2

4

2

6

x1y$6

13a.

?

2x

1

5y

#

20 ,

x$0

y$0

where x represents number of spiral notebooks and y

represents number of three-ring notebooks

13b.

y

4

x O4

4

Solutions correspond to points in shaded region with integer coordinates.

x 1 y # 30 14a. ? x $ 10 ,

y$5 where x represents number of campers on the low trail and y represents number of campers on the high trail

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Answers

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Chapter 3 Answers (continued)

14b.

y

40

20

O 20 40 x

Solutions correspond to points in shaded region with integer

coordinates.

15.

y

16.

y

6

4

O 642 2

6

x 46

4 O 4

x 4

17.

y

4

O 642 2

x 246

18.

y

6

O 642

4 6

x 246

19.

y

6

4

O

x

642 2 4 6

4 6

20.

y

6

4

O

x

642 2 2 4 6

4

6

21.

y 22.

2

x 6 4 2 O

2

y

2

2 O 2

x 2

23.

y

4 2

2

x O

2

Practice 3-4

1. y 7 6 5 4

; (2, 1)

2

(2, 2) (4, 1)

O (2, 1)

x

1 3456

2. y 7 6 5 (0, 4)

; (0, 4)

3

(2, 3)

2

1O

(5, 0)

12345 x

3. y

7 6

(0,

6)

5

4

3 2

(4, 2)

1O

(5, 0)x

1234 67

; (5, 0)

4. y 7 6 5

; (2, 0)

3 (0, 2)

1O

(65 , 65) (2, 0)

x

123 567

5. y

; (1, 0)

3

2 (0, 1)

(23 , 23)

O (1, 0) x

123

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Answers

Algebra 2 Chapter 3

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Chapter 3 Answers (continued)

6. y 7

6 (0, 5)

5 4

(1, 4)

; (0, 0)

3

2

1 O (2, 0)

x

1 34567

7. (0, 10); 30 8. (4, 0); 4 9. (8, 8); 32 10a. Four loaves of Irish soda bread and two Kugelhopf cakes 10b. $14 11a. 10 qt regular, 4 qt extra-rich 11b. $132

Practice 3-5

1. From the origin, move forward three units. 2. From the origin, move right two units. 3. From the origin, move forward three units, left two units, and down 4 units. 4. From the

origin, move back six units, left four units, and down one unit. 5. From the origin, move up four units. 6. From the origin,

move forward one unit, right two units, and up three units. 7. From the origin, move forward three units, left one unit, and up six units. 8. From the origin, move right four units,

and down one unit.

9.

z

5

5

11.

5 5 x

12.

5 5 x

13.

5 5 x

10.

5y

5 z

5 5

5 5 x

14.

5

5y

5 x

5

5

5 x

z 5

5 5y

5 z

5 5 5y

5 z

5 5 5y

5 z

5 5 5y

5

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Answers

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Chapter 3 Answers (continued)

15.

z

5

5

26. z

5 5 x

16.

5y

5 z

5 5

5 5 x

27.

5

5y

x 5

17. (0, 0, 0) 18. (0, 0, 1) 19. (0, 2, 0) 20. (3, 0, 0)

21. (0, 4, -2) 22. (0, -2, 3) 23. (-5, 0, 3) 24. (1, -1, -3)

25.

z

5

5 5 x

28.

5

5

5y

x 5

5

5 x

5 5y

5 z

5 5 5y

5 z

5 5 5y

5

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Algebra 2 Chapter 3

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Chapter 3 Answers (continued)

29.

z

5

5

33.

z

5

5

5

5y

5 x

5

30.

z

5

5

5

y

5 x

5

34.

z

3

4

5 5 x

31.

5y

5 z

10 10

6

y

6 x

35. x + y = 3, x + z = 3, y + z = 3; z

5

5

10 10 x 10

32.

10 y

z 5

5

5

5y

5 x

5

5

5y

5 x

5

36. x + 2y = 6, x + 3z = 6, 2y + 3z = 6; z

5

5

5

5y

5 x

5

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Answers

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