Chapter 1 Worksheets

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State whether each equation is a linear equation.

1. 2. 3.

4. 5. 6.

7. 8. 9.

Graph each linear equation.

10. 11. 12.

13. 14. 15.

Determine whether each table represents a linear relationship between x and y. If the relationship is linear, write the next ordered pair that would appear in the table.

16. 17. 18. x y 2 7 1 4 0 1 1 2 x y 2 5 3 7 4 8 5 11 x y 0 4 1 5 2 6 3 7 x y x y x y yⴝ ⴚ x ⴚ 4 yⴝ 2x y ⴝ 2x ⴙ 1 x y x y x y y ⴝ1 2 xⴙ 5 yⴝ 4x ⴚ 1 yⴝ 3x ⴙ 2 y ⴝ ⴚ2 3 xⴚ x 2 yⴝ 3 4 x ⴚ 1 y ⴝ1 2 x 2_{ⴙ 3} y ⴝ 4 ⴙ 2.5x yⴝ 1 ⴚ x2 y ⴝ ⴚ5x y ⴝ 2x2ⴙ 3x yⴝ x ⴚ 7 y ⴝ 4x ⴙ 1

Algebra 2 Practice Masters Levels A, B, and C 1

Practice Masters Level A

1.1 Tables and Graphs of Linear Equations

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Lesson 1.1 Level A 1.Linear 2.Linear 3.Not linear 4.Linear 5.Not linear 6.Linear 7.Not linear 8.Linear 9.Not linear 10. 11. 12. 13. 14. 15. 16.(4, 8) 17.Not linear 18.(2, 5) Lesson 1.1 Level B 1.Linear 2.Linear 3.Not linear 4.Linear 5.Not linear 1 1 1 2 4 5 2 3 4 5 2 3 4 5 2 4 5 1 x y y x 4 1 1 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5 1 x y y 2x 1 1 2 3 4 5 3 4 5 2 3 4 5 2 3 4 5 1 x y y 2x 1 1 1 1 2 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5 1 x y y 5₂x 1 1 1 2 2 3 4 5 2 3 4 5 2 3 4 5 1 x y y 4x 1 1 1 2 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5 x y y 3x 2

280 Practice Masters Levels A, B, and C Algebra 2

Answers

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Write the equation in slope-intercept form for the line that has the indicated slope, m, and y-intercept, b.

1. 2.

3. 4.

5. 6.

Find the slope of the line containing the indicated points.

7. 8.

9. 10.

11. 12.

Identify the slope, m, and y-intercept, b, for each line. Then graph.

13. 14. 15. 16. 17. 18. x y x y x y 4xⴚ 2y ⴝ 6 xⴝ ⴚ4 yⴝ 3 x y x y x y ⴚ1 2 xⴙ y ⴝ 3 4x ⴙ y ⴝ 1 yⴝ 5x ⴚ 3 (4, 6) and (1, ⴚ3) (0, 0) and (6, ⴚ2) (5, 4) and (2, 1) (5, 0) and (0, ⴚ5) (ⴚ2, 4) and (2, ⴚ3) (2, 3) and (4, 5) mⴝⴚ1 2 , bⴝ 3 4 mⴝ 0, b ⴝ ⴚ7 mⴝⴚ2 3 , bⴝ 0 mⴝ ⴚ1, b ⴝ 4 mⴝ1 2, bⴝ 3 mⴝ 2, b ⴝ ⴚ3

4 Practice Masters Levels A, B, and C Algebra 2

NAME CLASS DATE

Practice Masters Level A

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3.

4.horizontal line

5.A straight line that intercepts the x- and

y-axes at the origin.

6. a. b.9.50 c. 5 7. 8. a. b. Lesson 1.2 Level A 1. 2. 3. 4. 5. 6. 7.1 8. 9.1 10.1 11. 12.3 13. 14. 15. y 3 2 2 4 6 8 10 4 6 8 10 4 6 8 10 4 6 10 2 x y x 2 mⴝ 1 2, bⴝ 3 1 1 1 2 3 4 5 2 5 2 3 4 5 2 3 4 5 1 x y y 4x 1 mⴝ ⴚ4, b ⴝ 1 1 1 1 2 3 4 2 3 4 5 2 3 4 5 2 3 4 5 1 x y y 5x 3 mⴝ 5, b ⴝ ⴚ3 ⴚ1 3 ⴚ7 4 yⴝ ⴚ1 2 xⴙ 3 4 yⴝ ⴚ7 yⴝ ⴚ2 3 x yⴝ ⴚx ⴙ 4 yⴝ 1 2 x ⴙ 3 yⴝ 2x ⴚ 3 88F y ⴝ 6x ⴙ 58 hⴝ 15d C ⴝ 5 ⴙ 1.5d 1 1 1 2 3 4 5 2 3 4 5 2 3 4 5 4 5 x y y x₆ 1₃

Answers

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Algebra 2 Practice Masters Levels A, B, and C 283

Answers

16. 17. undeﬁned, none 18. Lesson 1.2 Level B 1. 2. 3. 4. 5. 6. 7.0 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 1 1 1 2 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5 1 x y y x₃ 2₃ y 5 2 2 2 4 6 8 10 4 6 8 10 4 6 8 10 4 6 8 10 2 x y x 2 xⴝ ⴚ1 yⴝ ⴚ4 yⴝ 3x ⴙ 1 mⴝ ⴚ2; b ⴝ ⴚ2 mⴝ 1.5; b ⴝ 0 mⴝ 6; b ⴝ ⴚ44 mⴝ 1; b ⴝ 0 mⴝ2 5; bⴝ ⴚ1 mⴝⴚ2 3 ; bⴝ 8 3 ⴚ2 5 7.7艐 0.65 yⴝ ⴚx y ⴝⴚ3 5 x y ⴝⴚ6 7 y ⴝ ⴚ2 3 xⴚ 1 3 1 1 2 3 5 2 3 4 5 2 3 4 5 2 3 4 5 1 x y y 2x 3 mⴝ 2, b ⴝ ⴚ3 1 1 1 2 3 4 5 2 3 4 5 2 3 4 5 2 3 5 1 x y x 4 b ⴝ m ⴝ 1 1 1 2 3 4 5 2 4 5 2 3 4 5 2 3 4 5 1 x y y 3 mⴝ 0, b ⴝ 3

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Write an equation for the line containing the indicated points.

1. (4, 2) and (5, 4) 2.(0, 3) and (2, 10)

3.(ⴚ3, 2) and (2, 1) 4.

5.(3,ⴚ5) and (6, ⴚ5) 6.(2,ⴚ3) and (2, 0)

Write an equation in slope-intercept form for the line that has the indicated slope, m, and contains the given point.

7. 8.

9. 10.

11. 12.

Write an equation in slope-intercept form for the line that contains the given point and is parallel to the given line.

13. 14.

15. 16.

17. 18.

19. 20.

21. 22.

Write an equation in slope-intercept form for the line that contains the given point and is perpendicular to the given line.

23. 24. 25. 26. 27. 28. 29. 30. 31. 32.(3, ⴚ2); y ⴝ 3 2xⴚ 6 8 (8, 16); yⴝ 2x ⴙ 12 (4, ⴚ10); y ⴝ 4x ⴚ 8 (6, ⴚ2); y ⴝ 6x ⴙ6 8 (7, ⴚ1); y ⴝ 3 (ⴚ2, 2); y ⴝ ⴚ1 4 x (ⴚ6, ⴚ2); 3x ⴚ y ⴝ 1 (ⴚ4, 0); x ⴙ y ⴝ 5 (6, 2); y ⴝ ⴚ3x ⴚ 1 (0, ⴚ5); y ⴝ 3 4xⴙ 7

冢

ⴚ3, 3 2

冣

; y ⴝ x ⴙ 1 (6, ⴚ3); y ⴝ ⴚ9x ⴚ 18 (4, 6); y ⴝ 2x ⴚ 1 (2, ⴚ2); y ⴝ ⴚ3x ⴙ 6 (0, ⴚ3); y ⴝ 5 (4, 1); yⴝⴚ1 2 xⴙ 1 2 (2, 5); y ⴝ x ⴙ 6 (3, ⴚ4); y ⴝ 5 3 xⴚ 2 (ⴚ3, 1); y ⴝ ⴚ5x ⴙ 2 (2, 5); yⴝ x ⴙ 6 mⴝ 0 and (2, 2) mⴝ 4 and (0, 0) mⴝ ⴚ3 4 and (8, 0) mⴝ1 2 and (6, ⴚ3) mⴝ ⴚ3 and (ⴚ1, 6) mⴝ 2 and (4, 4)

冢

ⴚ4, 1 2

冣

and (ⴚ2, 6)

NAME CLASS DATE

Practice Masters Level A

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Lesson 1.2 Level C 1.undeﬁned 2. 3. 4. 5. 6. 7.6 8.45.833

9. a. 0.133 pounds per day b.65 days

c.

d.how much the chicken weighed at birth

Lesson 1.3 Level A 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17.y ⴝⴚ1 2 x ⴙ 3 y ⴝ x ⴙ 3 y ⴝ5 3 xⴚ 9 y ⴝ ⴚ5x ⴚ 14 y ⴝ x ⴙ 3 y ⴝ 2 y ⴝ 4x y ⴝ ⴚ3 4 x ⴙ 6 y ⴝ1 2 xⴚ 6 y ⴝ ⴚ3x ⴙ 3 y ⴝ 2x ⴚ 4 xⴝ 2 y ⴝ ⴚ5 y ⴝ11 4 xⴙ 23 2 y ⴝⴚ1 5 x ⴙ 7 5 y ⴝ7 2 xⴙ 3 y ⴝ 2x ⴚ 6 yⴝ 0.133x ⴚ 0.59 1 1 2 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5 1 x y y 2x₅ 1₅ 1 1 1 2 3 4 5 2 3 4 5 2 3 4 5 2 4 5 1 x y y 1x₂ 1 1 1 2 3 4 5 2 3 4 5 3 4 5 2 3 4 5 1 x y y 4x₃ 5₃ 1 1 2 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5 1 x y y 3x 4 ⴚ1 2

Answers

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18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. Lesson 1.3 Level B 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17.parallel 18.neither Lesson 1.3 Level C 1. 2. 3. 4. 5. yⴝ 4 3 xⴚ 5 3 y ⴝ ⴚ6x ⴙ 2.25 yⴝ 5x ⴙ 29 xⴝ 2 yⴝ 4 5 xⴚ 2 yⴝ ⴚ5 2 xⴙ 25 yⴝ 2 3 xⴙ 4 yⴝ 2 3 xⴚ 1 2; y ⴝ ⴚ3 2 xⴚ 1 2 yⴝ ⴚx ⴙ 3; y ⴝ x ⴚ 1 yⴝ x ⴚ 4; y ⴝ ⴚx ⴙ 2 yⴝ 1 3 xⴚ 5 3; y ⴝ ⴚ3x ⴙ 15 xⴝ 0 xⴝ ⴚ2 yⴝ ⴚ11 4 yⴝ ⴚ1 2 xⴙ 1 3 yⴝ 3 4 xⴙ 65 4 yⴝ ⴚ5x ⴚ 11 y ⴝ 0 y ⴝ ⴚ8x ⴙ 16 3 y ⴝ ⴚ4x ⴚ 12 y ⴝⴚ1 2 xⴙ 5 2 y ⴝ ⴚ2 3x y ⴝ ⴚ1 2x ⴙ 20 y ⴝ ⴚ1 4x ⴚ 9 y ⴝ ⴚ1 6x ⴚ 1 xⴝ 7 y ⴝ 4x ⴙ 10 y ⴝⴚ1 3 xⴚ 4 y ⴝ x ⴙ 4 y ⴝ1 3 x y ⴝⴚ4 3 xⴚ 5 y ⴝ x ⴙ 9 2 y ⴝ ⴚ9x ⴙ 51 y ⴝ 2x ⴚ 2 y ⴝ ⴚ3x ⴙ 4 y ⴝ ⴚ3

Answers

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Determine whether each equation describes a direct variation.

1. 2. 3.

4. 5. 6.

In Exercises 7=14, y varies directly as x. Find the constant of variation, and write an equation of direct variation that relates the two variables.

7. 8.

9. 10.

11. 12.

13. 14.

Solve each proportion for the variable. Check your answers.

15. 16.

17. 18.

19. 20.

21. 22.

In Exercises 23=27, y varies directly as x.

23.If yⴝ 4 when x ⴝ 2, find y when x ⴝ 5. 24.If yⴝ 4 when x ⴝ 2, find x when y ⴝ 16. 25.If yⴝ 5 when x ⴝ ⴚ5, find y when x ⴝ ⴚ3. 26.If yⴝ 5 when x ⴝ ⴚ5, find y when x ⴝ 2. 27.If yⴝ 6 when x ⴝ 3, find x when y ⴝ 4. x 12 ⴝ 27 36 xⴙ 4 10 ⴝ 10 50 4xⴚ 6 15 ⴝ 12x 90 2x ⴙ 10 5 ⴝ 28 35 20 55 ⴝ 10x 11 3x 10 ⴝ 13 20 ⴚ3 8 ⴝ x 32 x 5ⴝ 14 35 yⴝ ⴚ1.4 when x ⴝ 0.007 yⴝ 0.02 when x ⴝ 0.06 yⴝ ⴚ16 when x ⴝ 4 5 yⴝ 2 3 when x ⴝ ⴚ4 yⴝ 5 when x ⴝ ⴚ5 yⴝ ⴚ12 when x ⴝ ⴚ20 yⴝ ⴚ7 when x ⴝ 3 yⴝ 4 when x ⴝ 2 yⴙ x ⴝ 0 y ⴝ ⴚ3x ⴙ 1 yⴝ ⴚ0.27x yⴝ 4 x y ⴝ1 4x yⴝ 3x

Practice Masters Level A

1.4 Direct Variation and Proportion

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6. 7. 8. 9.perpendicular 10.parallel 11.perpendicular 12.parallel 13. a. b.78 visits Lesson 1.4 Level A 1.yes 2.yes 3.no 4.yes 5.no 6.yes 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. Lesson 1.4 Level B 1. 2. 3. 4. 5. 6. 7.yes, 8.no 9. 10. 11.xⴝ 5 xⴝ 6 5 xⴝ 10 y ⴝ 28x k ⴝ 420; y ⴝ 420x k ⴝ 2.6; y ⴝ 2.6x k ⴝ ⴚ4 3 ; yⴝ ⴚ4 3 x k ⴝ 2.2; y ⴝ 2.2x k ⴝ 2.6; y ⴝ 2.6x k ⴝ ⴚ3 2 ; yⴝ ⴚ3 2 x x ⴝ 2 y ⴝ ⴚ2 y ⴝ 3 xⴝ 8 y ⴝ 10 x ⴝ 9 x ⴝ ⴚ2 xⴝ 3 xⴝ ⴚ3 xⴝ 0.4 xⴝ 13 6 xⴝ ⴚ12 xⴝ 2 k ⴝ ⴚ200; y ⴝ ⴚ200x k ⴝ 1 3; yⴝ 1 3 x k ⴝ ⴚ20; y ⴝ ⴚ20x k ⴝ ⴚ1 6; yⴝ ⴚ1 6 x k ⴝ ⴚ1; y ⴝ ⴚ1x k ⴝ 3 5; y ⴝ 3 5x k ⴝ ⴚ7 3 ; y ⴝ ⴚ7 3 x k ⴝ 2; y ⴝ 2x y ⴝ 25x ⴙ 50 (ⴚ6, ⴚ5); (6, ⴚ3); (4, 7) (2, ⴚ 5) yⴝ ⴚ6x ⴙ 6

Answers

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Match each correlation coefﬁcient with one of the data sets graphed.

A. B. C. D. E. F.

1. 2.

3. 4.

5. 6.

7.The equation of the least square line of the cost, C, of the number of machines, x, is given by the equation . Based on the least-squares line, predict the cost of 24 machines.

Use a graphing calculator to create a scatter plot of the data in each table. Describe the correlation as positive, or negative, or no correlation. Then ﬁnd an equation for the least-squares line.

8. 9. 10. _x y 1 6 2 8.5 5 10.2 8 23.9 x y 0 2.9 2 11 4 18.5 10 44 x y 0 5 2 9 5 15 9 23 C ⴝ 36x ⴙ 2500 0 6 4 2 0 2 4 6 0 6 4 2 0 2 4 6 0 6 4 2 0 2 4 6 0 6 4 2 0 2 4 6 0 6 4 2 0 2 4 6 0 6 4 2 0 2 4 6 r ⴝ ⴚ1 r⬇ ⴚ0.7 r ⬇ ⴚ0.1 r⬇ 0 r ⬇ 0.6 r ⴝ 1

Practice Masters Level A

1.5 Scatter Plots and Least-Squares Lines

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12. 13. 14. 15. 16. Lesson 1.4 Level C 1. 2. 3. 4.no 5. a.0.6 b. c.3.84 feet d.

e.because 0 pounds causes 0 stretch 6. a. b.18 feet Lesson 1.5 Level A 1.D 2.A 3.B 4.E 5.F 6.C 7.$3364 8.Correlation–positive 9.Correlation–negative 10.Correlation–negative Lesson 1.5 Level B 1.False 2.True 3.True 4.Positive

5.Weak positive correlation

6. a. b.0.41 c.27.5

d.It is reasonable but not accurate, because the correlation coefﬁcient is weak to moderately positive. He averaged 24.3 points per game. Lesson 1.5

Level C

1. 2.

3.54 goals

4.It is reasonable but not accurate. The correlation coefﬁcient indicates weak negative correlation. 5. 6.0.68 yⴝ 4.9x ⴙ 18.5 ⴚ0.33 yⴝ ⴚ1.8x ⴙ 72 y ⴝ 0.5x ⴙ 22.5 yⴝ 0.14x ⴙ 5 yⴝ 1.8x ⴚ 0.45 yⴝ ⴚ4.7x ⴙ 13.9 yⴝ ⴚ4.1x ⴚ 2.6 yⴝ 2x ⴙ 5 31 3 feet 0.416 pounds 16.6 pounds y ⴝ ⴚ2.5x b ⴝ 41 2 a ⴝ5 8 bⴝ 90 aⴝ ⴚ102 3 bⴝ ⴚ3 aⴝ 8.4 xⴝⴚ3 4

Answers

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Solve each equation. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

Solve each equation by graphing. Give answers to the nearest hundredth.

11. 12.

Solve each literal equation for the indicated variable.

13. 14.

15. 16.

17. 18.

Write and solve an appropriate equation for each situation.

19. Josie has a dog-walking service. She charges $10 per dog plus $2 per hour. If Josie walks Mr. Grove’s 3 dogs for 2 hours how much money does Josie earn?

20. Harris earns $125 per week as a chef, plus $7 per hour for cleaning up. If Harris cleans 6 hours in a week in addition to his time as a chef, how much money does Harris earn?

Vⴝ gt 2 2 for g Cⴝ 2r for r Iⴝ prt for t Aⴝ1 2(b1ⴙ b2)h for h A ⴝ1 2bh for b V ⴝ l w h for l ⴚ2.4x ⴚ 2.6 ⴝ ⴚ3.8 ⴚ 1.4x 1.16xⴙ 0.24 ⴝ 3.54 ⴙ 0.9x ⴚ1.2 ⴙ 0.3x ⴝ 0.9x 3 4xⴙ 1 2 ⴝ 7 2 ⴚ6x ⴚ 7 ⴝ 20 ⴙ 3x 48ⴙ 6x ⴝ ⴚ2x 1 2xⴚ 4 ⴝ 2 5(xⴙ 3) ⴝ ⴚ45 6ⴚ 3x ⴝ 6 ⴚ5 ⴚ 4x ⴝ ⴚ11 ⴚ2x ⴙ 7 ⴝ 29 3xⴚ 5 ⴝ 15

Practice Masters Level A

1.6 Introduction to Solving Equations

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7.67 8. 9.$6.1 million Lesson 1.6 Level A 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. Lesson 1.6 Level B 1. 2. 3. 4. 5. 6. 7. 8.no solution 9. 10. 11.

12. any real number 13. 14. 15. 16. 17.hⴝ A 2␲r ⴚ r s ⴝV ⴚ V0 b ⴚ s0 T ⴝAⴚ P PR lⴝ Pⴚ 2w 2 b1 ⴝ 2A h ⴚ b2 x ⴝ x ⴝ 2.66 x ⴝ ⴚ46.4 x ⴝ ⴚ12.70 m ⴝ 4 3 x ⴝ 15 2 a ⴝ 1 4 x ⴝ 3 5 m ⴝ 5 y ⴝ ⴚ10 n ⴝ ⴚ2 125 ⴙ 7C ⴝ E; $167 10yⴙ 2x ⴝ C; $36 gⴝ2V t2 rⴝ C 2␲ tⴝ I pr hⴝ 2A b1ⴙ b2 bⴝ 2A h lⴝ V wh x ⴝ 1.2 x ⴝ 12.69 x ⴝ ⴚ2 x ⴝ 4 x ⴝ ⴚ3 x ⴝ ⴚ6 x ⴝ 12 x ⴝ ⴚ12 x ⴝ 0 x ⴝ 3 2 x ⴝ ⴚ11 x ⴝ 6 yⴝ 1.7x ⴙ 1; 0.5

Answers

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Write an inequality that describes each graph.

1.

2.

3.

4.

Graph each inequality.

5. 6.

Solve each inequality, and graph the solution on the number line.

7.

8.

9.

10.

11.Graph on the same number line. 12.Solve and graph 8xⴚ 2 ⬎ 4 or 3x ⴙ 6 ⬍ 12.

x⬎ ⴚ6 and x ⬍ 2 5ⴚ 2r ⱖ 11 4xⴚ 15 ⬎ 73 3xⴙ 10 ⱕ 1 5zⴚ 6 ⬎ 14 0 2 4 6 2 4 6 0 2 4 6 2 4 6 y ⱕ ⴚ2 xⱖ ⴚ1 0 2 4 6 2 4 6 0 2 4 6 2 4 6 0 2 4 6 2 4 6 0 2 4 6 2 4 6

Practice Masters Level A

1.7 Introduction to Solving Inequalities

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18. 19. 20. Lesson 1.6 Level C 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. a. b.$4800 c.24 months 11. a.Paul: Rene: b.50 hours c.Rene Lesson 1.7 Level A 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. Lesson 1.7 Level B 1. 2. 3. and 4. or 5. 4 6 8 10 2 0 2 x⬍ 10 n⬎ ⴚ1 nⱕ ⴚ4 nⱕ 4 n⬎ ⴚ2 n⬎ 1 n ⬍ 0 0 1 2 3 4 5 6 x ⬎ 3 4 or x ⬍ 3 8x ⴚ 2 ⬎ 4 or 3x ⴙ 6 ⬍ 12; 0 2 4 6 2 4 6 x ⬎ ⴚ6 and x ⬍ 2 1 0 1 2 2 3 4 rⱕ ⴚ3 22 24 26 28 20 18 16 x⬎ 22 0 1 2 3 1 2 3 xⱕ ⴚ3 2 3 4 5 1 0 1 z⬎ 4 0 1 2 3 1 2 3 y ⱕ ⴚ2 0 1 2 3 1 2 3 x ⱖ ⴚ1 n ⬍3 2 nⱖ ⴚ2 n ⬍ ⴚ1 nⱖ 1 yⴝ 5.25x ⴙ 175 y ⴝ 5.75x ⴙ 150 yⴝ 225x ⴙ 1200 xⴙ4 5 xⴝ 90, 40 and 50 x ⴝ 1.29 x ⴝ ⴚ0.43 x ⴝ ⴚ1.59 x ⴝ ⴚ0.55 x ⴝ ⴚ8 x ⴝ 1 x ⴝ ⴚ1 x ⴝ ⴚ0.93 c ⴝ 30 ⴙ 18.75h; 12 hours 20 ⴙ 2x ⴙ x ⴝ 90; x ⴝ 23.3° d1ⴝ 2A d2

Answers

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Match each statement on the left with a statement on the right.

1. a.all real numbers

2. b.

3. c.no solution

4. d.

5. e.

Solve each equation. Graph the solution on the number line.

6.

7.

8.

9.

Solve each inequality. Graph the solution on the number line.

10.

11.

12.

⬍ 5

ⱍ

xⴚ 3

ⱍ

ⴝ 5

Practice Masters Level A

1.8 Solving Absolute-Value Equations and Inequalities

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6. 7. 8. 9. or 10. and 11. 12. Lesson 1.7 Level C 1. 2. 3. 4.

5.all real numbers

6. and 7. and 8. or 9.7 days 10. Lesson 1.8 Level A 1.e 2.b 3.d 4.a 5.c 6. or 4 6 8 10 2 0 2 x ⴝ 2 xⴝ 6 1.8⬍ x ⬍ 13 0 2 4 6 2 4 6 x⬎ 0 xⱕ ⴚ4 2 4 6 8 0 2 4 z⬍ 71 2 z⬎ ⴚ1.75 20 10 0 10 30 40 50 w⬎ ⴚ47 w⬍ ⴚ4 0 1 2 3 1 2 3 0 1 2 3 1 2 3 m⬎ ⴚ1.5 2 1 0 1 3 4 5 tⱖ ⴚ29 7 53 54 55 56 52 51 50 mⱖ 55 0 1 2 3 1 2 3 t⬎1 5 0 1 2 3 4 5 6 n ⬍ 3 and n ⬎ 5 0 1 2 3 4 5 6 x ⬍ 5 or x ⬍ 1 2 4 6 8 0 2 4 z⬍ 4 z⬎ ⴚ4 0 1 2 3 1 2 3 x⬍ ⴚ2 x⬎ 1 1 0 1 2 2 3 4 xⱖ ⴚ18 5 2 1 0 1 3 4 5 y⬎ ⴚ4 37 36 35 34 38 39 40 xⱖ ⴚ39

Answers

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7. or 8. or 9. 10. or 11. and 12.no solution 13. 14. 15. Lesson 1.8 Level B 1. or 2. or 3. or 4. 5. or

6.all real numbers

⬍ 6 0 5 10 15 20 25 5 x ⱖ 25 or x ⱕ ⴚ5 3 0 1 2 4 5 6 xⱖ5 3 xⱕ 5 6 5 4 3 2 7 8 x ⬍ ⴚ7 x⬎ ⴚ5 0 2 4 4 2 6 8 x ⴝ 1 or x ⴝ ⴚ6 2 4 6 8 0 2 4 xⴝ ⴚ4 xⴝ 7 0 2 4 6 2 4 6 xⴝ ⴚ5 xⴝ 2