# 

Algebra 1
Review Chapter 4
Is each number a solution to the given inequality?
1. 4x + 7  15
2.
-2x + 3 > 5
a. -2
a. -3
b. 2
b. -1
c. 5
c. 4
Write an inequality to model the situation.
3. A student can take at most 7 classes.
4. The school track teams needs at least 5 runners to compete at Saturday’s meet.
5. Elephants can drink up to 40 gallons of water.
6. Your early-morning paper route has more than 32 homes.
Write an inequality for each graph.
7.
8.
9.
10.
Graph the inequality.
11. x > 1
12. x
6
13.
14. 7
x
-4 > x
Name _________________________
Solve and graph each inequality.
15. z + 7  9
18. -16
 4y
16. n – 5 > -10
17. -7x < 21
19. 2 + x > 6
20. – 3x
2
Solve and graph each inequality.
 -6w + 11
21. 4x – 5 < 3
22. 5w
24. 2(x + 3) – 5 > -1
25. 5c + 4(c – 1) > 2 + 5(2 + c)
23. 3(x – 1) > 6
Order the numbers in each group from LEAST to GREATEST.
26) 4.1, 4.01, -4.11, 4.001
27) -1/5, ½, -1/3, 2/3
Is each statement true or false? If the statement is false, give a counterexample.
28) All Whole numbers are rational numbers.
29) The opposite of a negative number is a positive number.
30) The set of Integer numbers is reasonable to use to count the number of people in your family.
Simplify Each Expression.
31) 5 + | -7 + 4 |
32) 3 | -2 | + | -5 |