Solving and Graphing Two-Variable Inequalities


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question 1 of 3

When we graph this selection, we must use a dotted line.

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1. Which one of these ordered pairs is part of the solution set for y > 3x + 2?

2. When we want to solve y <= 5x - 2, what do we graph first?

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About this Quiz & Worksheet

This quiz and worksheet combo will test your knowledge of how to construct graphs that solve for inequalities with two variables.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • When to use a dotted line while graphing a solution
  • Identifying ordered pairs in a solution set
  • Working with equations to solve inequalities
  • Identifying relevant graph points on a line
  • Visualizing graphic solutions to a two-variable inequality problem

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Knowledge application: Use your knowledge of graphing solutions to two-variable inequalities to solve mathematical problems
  • Information recall: Access the knowledge you've gained regarding inequalities, variables, and graphing techniques
  • Problem solving: Solve practice problems that contain inequalities with two variables

Additional Learning

To learn more, review the accompanying lesson on Solving and Graphing Two-Variable Inequalities. This lesson covers the following objectives:

  • Defining two-variable inequalities using graphs
  • Using equations to solve inequalities
  • Constructing a graph in order to arrive at a solution to two-variable inequalities
  • Determining what points on the graph make the inequality true