# Algebra 1 Companion Book, Vol 1 – Summer Edition

3.1 Review Worksheet (continued)

3.1.2 Solving Inequalities by Adding or Subtracting Solve each inequality and graph the solutions. 17. a − 3 ≥ 2 18. 2.5 > q − 0.8 19. − 45 + x < − 30

20. + ≤ r 1 4

3 4

21. The maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight w . Write, solve, and graph an inequality to show the values of w that will not exceed the weight limit of the elevator.

22. The gas tank in Mindy’s car holds at most 15 gallons. She has already filled the tank with 7 gallons of gas. She will continue to fill the tank with g gallons more. Write and solve an inequality that shows all values of g that Mindy can add to the car’s tank.

3.1.3 Solving Inequalities by Multiplying or Dividing Solve each inequality and graph the solutions. 23. 10 < 2 t 24. ≤ j 4 25. − 80 < 8 c

1 3

26. 21 > 3 d

w 4

29. 6 y < 4.2

30. 12 c ≤ − 144

h 4

2 7

27.

28.

2

≥−

3 5

b 8

4 5

2 5

33. − 25 > 10 p

31.

32.

34.

≥ b 6

≥ x

2

≤−

162

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