Unit 3 Pretest

1. Describe the solutions of in words.

2. Graph the inequality m < –3.4.

3. Write the inequality shown by the graph.

0 1 2 3 4 5 6 70–1–2–3–4–5–6–7 m

6 64y " is less than 4."y

3.4

3m

4. To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team. Graph the solution.

5. Sam earned $450 during winter vacation. He needs to save $180 for a camping trip over spring break. He can spend the remainder of the money on music. Write an inequality to show how much he can spend on music. Then, graph the inequality.

500n500

180 450x 180180270x

270

Unit 3 Pretest6. Solve the inequality n + 6 < –1.5 and graph the solutions.

7. Solve the inequality and graph the solution.

8. Solve the inequality > 3 and graph the solutions.

6 67.5n

7.5

7 68

5 10x 14 68

10 10x

14

10

14

10

54

10x

45

10x

25

5x

25

5

24x

24

38

x 8 8

Unit 3 Pretest9. Solve the inequality 2m < 18 and graph the solutions.

10. Solve the inequality and graph the solutions.24

z

11. Solve the inequality and graph the solutions.2 8f

2 2

9m

9

24

z

4 4 8z

8

2 2

4f

4

Unit 3 Pretest12. Marco’s Drama class is performing a play. He wants to buy as many tickets as he can afford. If tickets cost $2.50 each and he has $14.75 to spend, how many tickets can he buy?

13. What is the greatest possible integer solution of the inequality

?

2.5 14.75T 2.5 2.5

5.9T 0,1,2,3,4,5T

2.847 2.847

5.32771...x 5x

14. Solve the inequality n – 4 < 3 and graph the solutions.

15. Solve the inequality z + 8 and graph the solutions. 3 4

16. Solve and graph .

4 47n

1 1

7n

711 4z 11 11

15z 15

3x 3x3 15x 3 3

5x

5

17. Mrs. Williams is deciding between two field trips for her class. The Science Center charges $135 plus $3 per student. The Dino Discovery Museum simply charges $6 per student. For how many students will the Science Center charge less than the Dino Discovery Museum?

18. Solve the inequality and graph the solution.

19. Solve the inequality .

135 3 6S S 3S 3S

135 3S3 3

45 S

45S

0.5 1.5 6x x 1.5x 1.5x2 6x

2 23x

3

8 48 8 7z z 8z 8z

48 7 solutions

0.25 1.75 0.5x

Unit 3 Pretest20. Solve

21. Solve and graph the solutions of the compound inequality

.

.

2 2 23 3 12x 3 3 31 4x

1 4

1.75x 1.75x

1.75 1.75

1.5 0.5x0.5 0.5

3 x

Unit 3 Pretest

22. Solve and graph the compound inequality.

OR .

23. Write the compound inequality shown by the graph.

0 1 2 3 4 5 6 7 8 9 100–1–2–3–4–5–6–7–8–9–10 x

4 42.5s

3 34s

2.5 4

5 OR 3x x

OR

Unit 3 Pretest

24. Which of the following is a solution of

AND ?

a) 2b) 14c) 12d) -6

25. Solve the inequality

and graph the solutions. Then write the solutions as a compound inequality.

2 6 6 AND 2 4 1

4 6 AND 6 1

10 8x

2 1810

2 18x

Unit 3 Pretest26. Solve and graph the solutions of

Write the solutions as a compound inequality.

27. A volleyball team scored 14 more points in its first game than in its third game. In the second game, the team scored 28 points. The total number of points scored was less than 80. What is the greatest number of points the team could have scored in its first game?

6 15x

9 216

9x 21x OR

3rd Gamex 14 28 80x x

2 42 80x 42 422 38x

19x

18 POINTS