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Name _________________________________________ Practice Test CHAPTER For use after the chapter “Solving and Graphing Linear Inequalities” 5 Write an inequality represented by the graph. Answers 1. _____________ 1. –10 –8 –6 –4 –2 0 2 4 6 8 10 2. _____________ 3. _____________ _____________ 2. 4. _____________ _____________ Solve the inequality. Graph your solution. 3. y + 5 ≥ 2 4. w - 8 ≤ - 4 5. _____________ _____________ 6. _____________ _____________ 5. –2t ≥ –8 6. < 8 7. _____________ 8. _____________ 9. _____________ 7. Tina can type at least 40 words per minute. 10. _____________ Write and graph an inequality to describe this statement. 11. _____________ 12. _____________ 13. _____________ 8. 4y + 11 ≤ 8 9. 2x – 10 ≥ 12 10. 5 – 4t ≥ – 27 11. 4(k + 2) > 4k – 7 12. 3a – 12 < 8a + 3 13. 14p + 12 – 4p > 10p + 20 ughton Mifflin Harcourt Publishing Company. All rights reserved. Solve the inequality, if possible. 14. Write and solve an inequality to find the possible values of x if the maximum area of the rectangle is to be 78 square meters. Answers 14. _____________ 6 meters 15. _____________ (5x + 3) meters 16. _____________ 17. _____________ Write a compound inequality represented by the graph. _____________ 15. 18. _____________ _____________ 19. _____________ 16. 20 _____________ 21. _____________ Solve the compound inequality. Graph your solution. 17. x > 3 or x ≤ 0 18. –3 ≤ 2x + 7 ≤ 9 22 _____________ 23. _____________ _____________ 24. _____________ _____________ Solve the absolute value equation. 19. | x | = 6 20. | x + 3 | = 8 21. | x – 4 | + 5 = 10 22. On a road in the city of Rochester, the maximum speed is 50 miles per hour and the minimum speed is 20 miles per hour. If x represents speed, write an inequality to represent the possible legal speed of a car. rights reserved. Solve the absolute value inequality. Graph your solution. 23. | x – 5 | ≤ 3 24. | x | + 1 > 9 Determine whether the ordered pair is a solution of the inequality. 25. x + y < 9; (3, 4) 26. y ≥ 5x – 6; (0, 0) 27. x + 2y > 12; (2, 5) Graph the inequality. 28. y < 3x – 2 29. y ≥ –2x + 1 25. _____________ 26. _____________ 27. _____________