1. 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Graphing on the Number Line Compound Inequalities Story Problems Absolute – Value Graphing with two Variables

2. Graph the inequality.

4. Solve the inequality and graph its solution.

7. Remember to flip the inequality symbol when dividing (or multiplying) by a negative number.

8. Solve the inequality and graph its solution.

12. Write an inequality that represents the statement and graph the inequality. x is greater than 5 or less than 3

13. or

14. Solve the inequality and graph the solution. or

16. Solve the inequality and graph the solution.

20. Solve the inequality and graph the solution. Then check whether the given x-value is a solution.

21. Yes, 0 is a solution.

22. You earn $8.75 per hour at your job. Write an inequality to show how many hours h you need to work to save at least $280. Graph the inequality on a number line.

24. A membership to a fitness club has an initiation fee of $90. Each month you are billed an additional $30. Solve an inequality to find the maximum amount of time you can be a member for $600.

26. On the Illinois’ interstate highway the speed limit is 65 mph. The minimum speed is 45 mph. Write a compound inequality that represents the speeds at which you may legally drive.

28. A store carries $2400 worth of various types of calculators. A scientific calculator cost $20 and a graphing calculator cost $80. Let x represent the number of scientific calculators in stock. Let y represent the number of graphing calculators in stock. Write and graph the inequality that describes the different number of scientific and graphing calculators in stock.

29. x-intercept: y-intercept: Test (10,10) 1030507090110 10 30 50 70 90 110

30. You have $125 to spend on school clothes. It cost $20 for a pair of pants and $15 for a shirt. Let x represent the number of pants you can buy. Let y represent the number of shirts you can buy. Write and graph an inequality that describes the different number of pants and shirts you can buy.

31. x-intercept: y-intercept: Test (10,10)

32. Solve the equation.

36. Solve the inequality.

38. Solve the inequality. Then graph the solution.

42. Sketch the graph of the inequality.

47. Test

48. Sketch the graph of the inequality.

49. x-intercept: y-intercept: Test (0,0)

50. Sketch the graph of the inequality.

51. x-intercept: y-intercept: Test (2,2)