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Algebra Connections
Unit 9 Review – Inequalities
1.
Name _____________________
Write an inequality that represents the solutions on the number lines below.
a.
b.
-4 -3 -2 -1 0 1 2 3 4 x
2.
Graph the following inequalities on the given number lines.
a.
3.
x4
b.
m  1
Solve each inequality below. Represent your solutions algebraically and on a number line.
a.
4.
-5 -4 -3 -2 -1 0 1 2 3 4 x
5  3x  14
Solve the following equation by factoring.
x 2  7 x  10  0
b.
7k  3  3(k  5)
5.
Examine the graph at right and find the slope of the line.
y
(8, 7)
y
(2, 4)
x
x
6.
Graph the system of inequalities below.
y

2
y  x5
3
y  3x  3


















x
















7.
Solve each inequality below. Represent your solution algebraically and on a number line.
a. 3x  1  13 or x  2
b.
x  4  8 and  3x  12



c.
8.
d.
6x  4x  2 or 5x  15
Solve each inequality below. Represent your solution algebraically and on a number line.
a.
9.
3x  4  14 and 3x  6x  12
x 1  6
b.
4 x  2  10
Simplify.
a.
2x  4  4x  x  1x  15x
b.
4(x  8)  2(x  8)  8x