Module 1-A Linear Inequalities. C. x > 3 D. x < 3 A. 4.4 B. 4.5 C. 4.6 D. 4.7

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1 Name: Date: 1. The inequality 3x + 2 > x + 8 is equivalent to. x > 3 2. x > 3 2 C. x > 3 D. x < 3 2. The inequality 2x > x + 7 is equivalent to. x > 7. x < 7 C. x = 7 D. x > Which number is not a member of the solution set of the inequality 4x 18? C. 4.6 D Students in a ninth grade class measured their heights, h, in centimeters. The height of the shortest student was 155 cm, and the height of the tallest student was 190 cm. Which inequality represents the range of heights?. 155 < h < h 190 C. h 155 or h 190 D. h > 155 or h < Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, which inequality could be used to determine how many packages of hot dogs Roger will need to buy?. p 78. 8p 78 C. 8 + p 78 D. 78 p 8 6. Which graph represents the solution set of the inequality 4x > 8? C. D page 1

2 7. Which graph represents the solution of the inequality 3x ?.. C. D. 8. Which inequality is represented by the graph?. x > 1. x < 1 C. x 1 D. x Which inequality is represented by the accompanying graph?. 2 < x 3. 2 x 3 C. 2 x < 3 D. 2 < x < Which inequality is represented by the graph? < x < 6. 5 x 6 C. 5 x < 6 D. 5 < x Which inequality is represented in the graph?. 2 < x < 3. 2 x < 3 C. 2 x 3 D. 2 < x 3 page 2

3 12. What is the graph of the solution set of 15 < 3x + 5 < 21? C. D The manufacturer of Ron s car recommends that the tire pressure be at least 26 pounds per square inch and less than 35 pounds per square inch. On the accompanying number line, graph the inequality that represents the recommended tire pressure. 14. In order to be admitted for a certain ride at an amusement park, a child must be greater than or equal to 36 inches tall and less than 48 inches tall. Which graph represents these conditions? C D Which ordered pair is in the solution set of the system of inequalities shown in the graph?. (0, 0). (1, 5) C. ( 3, 3) D. (3, 3) page 3

4 16. On the same set of coordinate axes, graph the following system of inequalities. Label the solution set S. y 2x + 4 x y < Which ordered pair is in the solution set of the system of inequalities shown in the accompanying graph?. (2, 5). (2, 2) C. (4, 3) D. ( 4, 3) 18. Which ordered pair is in the solution set to the system of inequalities shown in the accompanying graph?. (0, 0). (0, 1) C. (1, 5) D. (3, 2) page 4

5 19. Graph the following system of inequalities on the set of axes shown below and label the solution set S. y > x + 2 y 2x On the same set of coordinate axes, graph the following system of inequalities and label the solution set S: x + y < 3 y 2x page 5

6 21. Lois rented a car for $74.00 a week plus $0.14 for each mile the car is driven. What is the greatest number of miles Lois can drive the car if she wishes to spend at most $130.00? [Only an algebraic solution will be accepted.] 22. rian has $78 and wants to purchase tapes through a music club. Each tape costs $7.50. The music club will add a total postage and handling charge of $3.50 to his order. What is the greatest number of tapes he can purchase? [Only an algebraic solution will be accepted.] 23. restaurant sells large and small submarine sandwiches. Rolls for the sandwiches are ordered from a baker. The roll for a large sandwich costs $0.25 and the roll for a small sandwich costs $0.15. Melissa, the manager of the restaurant, ordered 130 more large rolls than small rolls. What was the greatest number of large rolls she received if she spent less than $63? 24. Frank is going to buy some ties at $7.50 per tie and some shirts at $18.50 per shirt. If he buys twice as many ties as shirts and spends no more than $205, what is the greatest number of shirts he can buy? [ll prices include tax.] [Show or explain the procedure used to obtain your answer.] 25. museum sold 50 more adult tickets at $6.50 each than children s admission tickets at $5.50 each. What is the minimum number of each type of ticket that the cashier had to sell for the total receipts to be at least $1000? [Show or explain the procedure used to obtain your answer.] 26. swimmer plans to swim at least 100 laps during a 6-day period. During this period, the swimmer will increase the number of laps completed each day by one lap. What is the least number of laps the swimmer must complete on the first day? 27. There are 461 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 52. What is the least number of buses needed for the trip? C. 10 D. 11 page 6

7 28. Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. They plan to charge $15 to mow one lawn. What is the minimum number of lawns they need to mow if they wish to earn a profit of at least $750? 29. Parking charges at Superior Parking Garage are $5.00 for the first hour and $1.50 for each additional 30 minutes. If Margo has $12.50, what is the maximum amount of time she will be able to park her car at the garage? hours hours C. 6 hours D hours 30. The Eye Surgery Institute just purchased a new laser machine for $500,000 to use during eye surgery. The Institute must pay the inventor $550 each time the machine is used. If the Institute charges $2,000 for each laser surgery, what is the minimum number of surgeries that must be performed in order for the Institute to make a profit? page 7

8 cces format version c Educide Software Licensed for use by Tammie Wilkes C C D D [task] [graph] Module Linear Inequalities 04/08/ [graph] children s tickets, 107 adults tickets C D oth inequalities are graphed and shaded correctly, and at least one is labeled, and the solution set is labeled S.