Graph Linear Inequalities in Two Variables Worksheets

Printable “Linear Inequality” worksheets:
Solve 1-step inequalities (addition & subtraction)
Solve 1-step inequalities (multiplication & division)
Solve 1-step inequalities (all operations)
Solve linear inequalities (include number lines)
Graph compound inequalities on the number line
Solve & graph compound inequalities

Solve & graph inequalities with two variables

Examples, solutions, videos, and worksheets to help Grade 8 students learn how to find and graph solution sets to inequalities with two variables on the coordinate plane.

How to graph linear equations & inequalities?

Graphing Linear Equations
A linear equation in two variables, typically written in the form y = mx + b, represents a straight line on a coordinate plane. The m is the slope of the line, and b is the y-intercept.

Steps to graph a linear equation:

1. Find the y-intercept: The y-intercept is the point where the line crosses the y-axis. It’s the value of b in the equation. Plot this point on the y-axis.
2. Use the slope to find another point: The slope, m, tells you how much the line rises or falls for every unit of horizontal change.

• If m is positive, the line rises from left to right.
• If m is negative, the line falls from left to right.
• For example, if m = 2, you can move 2 units up and 1 unit to the right from the y-intercept.

3. Draw a line through the points: Use a ruler to draw a straight line through the two points you plotted.

Graphing Linear Inequalities

Steps to graph a linear inequality:

1. Graph the boundary line: Treat the inequality as an equation and graph the corresponding line.

• Use a solid line for inequalities with ≤ or ≥ symbols.
• Use a dashed line for inequalities with < or > symbols.

2. Test a point: Choose a point not on the line, usually (0,0) is easiest.
3. Shade the appropriate region:

• If the test point satisfies the inequality, shade the region containing the point.
• If the test point does not satisfy the inequality, shade the region not containing the point.

Have a look at this video if you need to review how to graph linear inequalities in two variables.

• Graph Linear Inequalities in Two Variables

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More Graph Linear Inequalities Worksheets

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(Answers on the second page.)
Graph Linear Inequalities Worksheets #1
Graph Linear Inequalities Worksheets #2
Graph Linear Inequalities Worksheets #3
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Graph Linear Inequalities Worksheets #5
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Graph Linear Inequalities Worksheets #7
Graph Linear Inequalities Worksheets #8 (match linear equations)
Graph Linear Inequalities Worksheets #9 (match linear inequalities)

Related Lessons & Worksheets

Graph Linear Inequalities

More Printable Worksheets

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