# Hotmath Practice Problems

Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Inequalities and Absolute Value EquationsSection:Graphing Linear Inequalities

Problem: 1

Verify whether the ordered pairs (0, 0) and (–2, –2) are solutions of the given inequality.

3x + 3y 0

Problem: 3

Verify whether the ordered pairs (2, 1) and (1, 6) are solutions of the given inequality.

3x + 4y 7

Problem: 5

Verify whether the ordered pairs (1, 1) and (2, –2) are solutions of the given inequality.

0.5x + 0.5y 3.5

Problem: 7

Verify whether the ordered pairs (6, 6) and (6, –6) are solutions of the given inequality.

Problem: 9

Verify whether the ordered pairs (0, 0) and (3, 0) are solutions of the given inequality.

4x – 3y 3

Problem: 11

Verify whether the ordered pairs (0, 0) and (5, –3) are solutions of the given inequality.

2x + 6y 8

Problem: 13

Which one of the following inequalities describes the graph?

?

Problem: 15

Which one of the following inequalities describes the graph? ?

Problem: 17

On a coordinate plane, graph x 5.

Problem: 19

On a coordinate plane, graph y 2x – 3.

Problem: 21

On a coordinate plane, graph y 3x – 2.

Problem: 23

On a coordinate plane, graph x + y 2.

Problem: 25

Graph the linear inequality

Problem: 27

Graph the linear inequality

Problem: 29

Graph the linear inequality y –2x.

Problem: 31

Graph the linear inequality .

Problem: 33

Graph the linear inequality y – 3x 1.

Problem: 35

Find the inequality represented by the graph.

Problem: 37

Find the inequality represented by the graph.

Problem: 39

Find the inequality represented by the graph.

Problem: 41

Find the inequality represented by the graph.

Problem: 43

Find the inequality represented by the graph.

Problem: 45

Find the inequality represented by the graph.

Problem: 47

Find the inequality represented by the graph.

Problem: 49

On a coordinate plane, graph | y| 2x.

Problem: 51

Sketch the given equation in a coordinate plane.

y |2x|

Problem: 53

Sketch the given equation in a coordinate plane.

|y| 1