Unit 3 Pretest
in words.
1. Describe the solutions of
6
6
y4
" y is less than 4."
2. Graph the inequality m < –3.4.
3.4
3. Write the inequality shown by the graph.
–7
–6
–5
–4
–3
–2
–1
0
1
2
3
m  3
4
5
6
7
m
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.
n  500
500
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.
180  x  450
180
180
x  270
270
Unit 3 Pretest
6. Solve the inequality n + 6 < –1.5 and graph the solutions.
6
6
n  7.5
7.5
7. Solve the inequality and graph the solution.
7 68
x 
5 10
54
x
10
14 68
x 
10 10
14 14


10 10
8. Solve the inequality
> 3 and graph the solutions.
8 x  38
x  24
8
24
2
x5
5
4
x5
10
2
5
5
Unit 3 Pretest
9. Solve the inequality 2m < 18 and graph the solutions.
2
2
m9
9
z
2
4
 4 z  2  4 z  8
4
10. Solve the inequality
11. Solve the inequality
and graph the solutions.
2 f  8
2
8
and graph the solutions.
2
f  4
4
Unit 3 Pretest
12. 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?
2.5T  14.75
2.5
2.5
T  5.9
T  0,1, 2,3, 4,5
13. What is the greatest possible integer solution of the inequality
?
2.847
2.847
x  5.32771...
x5
14. Solve the inequality
 n – 4 < 3 and graph the solutions.
4 4
n  7
1
n  7
1
7
15. Solve the inequality z + 8 3  4 and graph the solutions.
15
16. Solve and graph
3x 3x
3x  15
3 3
x5
.
5
z  11  4
11 11
z  15
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?
135  3S  6S
45  S
3S 3S
135  3S
S  45
3
3
18. Solve the inequality and graph the solution.
0.5 x  1.5 x  6
1.5x 1.5x
3
2 x  6
19. Solve the inequality
.
8 z  48  8 z  7
8z
2 2
x  3
8z
48  7
 solutions
Unit 3 Pretest
.
20. Solve
1.75x
1.75x
0.25  1.75  0.5x
1.75 1.75
21. Solve and graph the solutions of the compound inequality
2 2
3  3x  12
3 3 3
1 x  4
2
1
.
4
1.5  0.5x
0.5 0.5
3 x
Unit 3 Pretest
22. Solve and graph the compound inequality.
4 4
s  2.5
OR
.
3
OR
3
s4
2.5
4
23. Write the compound inequality shown by the graph.
–10 –9
–8
–7
–6
–5
–4
–3
–2
–1
0
1
2
x  5 OR x  3
3
4
5
6
7
8
9
10
x
Unit 3 Pretest
24. Which of the following is a solution of
?
AND
 2  6  6
AND
 2  4  1
4  6
AND
6  1
a)
b)
c)
d)
2
14
12
-6
25. Solve the inequality
and graph the solutions. Then write the solutions as a compound inequality.
x 10  8
2  x  18
2
10
18
Unit 3 Pretest
26. Solve and graph the solutions of
Write the solutions as a compound inequality.
x  6  15
x  9
x  21
OR
9
6
21
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?
x  14  28  x  80
2 x  42  80
42 42
2 x  38
x  3rd Game
x  19
18 POINTS