Algebra I – Chapter 4 Inequality Review
Name: ______________________________________
Show all work and solutions to receive full credit.
Is each number a solution of the given inequality?
1. 3y + 2  –10
a. –2
b.
–4
c.
–5.5
Define a variable and write an inequality to model each situation.
2. The package must at most 25 lb.
3. The wind speed is greater than 10 mi/h.
Write an inequality for each graph.
4.
5.
Graph each inequality on a number line.
6. x > -3
7. x ≤ 0
8. -4 > x
9. 7 ≤ x
Solve and graph each inequality. Show all work!
1
10.  x  12
3
11. 7y –11  17
12. –8k – 15 < 33
13. 9z  2z + 35
14.17 – x > 3
15. 3y + 9 < –7y – 11
16. 6(y –5) > 12
17. 3(4x –2)  2(5x –8)
18. 4 – 2(p + 3) > 3(p – 1)
Solve the following word problems using inequalities.
19. Sarah’s cell phone plan allows her a limited number of text messages for $15 a month. Each text over
this amount costs $0.12. If her parents require her phone bill (excluding taxes and fees) to be at most
$25, what is the maximum number of texts she can send/receive over the allotted amount?
20. An elevator can lift at most 4400 lb. A concrete block has an average weight of 42 lb. What is the
maximum number of concrete blocks that the elevator can lift?