Systems of equations
Graphing systems of inequalities worksheets
Graph eight pairs of linear inequalities, distinguish strict and inclusive boundaries, and shade each common solution region on a coordinate grid.
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Systems of Inequalities Graph Choice Worksheets
Choose the correct printed solution graph for a system of inequalities, with selectable forms and two problems per page.
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Read both inequalities, compare the four graphs, and select the graph of their common solution set.
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Customize this worksheetRead line style and shading
Each choice stores two exact half-planes. Compare both boundaries and their overlapping solution region.
Learning objective
What this activity builds
Match two inequalities to their shared shaded region and correct boundary styles.
Worked example
Which region solves y > x and y <= 3?
The region above the dashed line y = x and on or below the solid line y = 3.
The strict inequality excludes the diagonal boundary. The inclusive inequality includes the horizontal boundary. A solution must satisfy both.
Teaching notes
Make the practice count
- Check dashed versus solid boundaries first.
- Test a point to decide which side of each line to shade.
- The solution is the overlap of the two half-planes.
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Customize the practice
Choose your options, update the preview, then download the exact same pages.
Choose any nonempty mix of four inequality-system profiles and print 2, 4, 6, 8, or 10 questions with four exact A-D graphs each.
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A useful next step
Related activities
Systems of equations
Solving systems by graphing worksheets
Graph eight pairs of linear equations on blank coordinate grids. Choose equation forms, locate each intersection and check a separate key with both lines and the exact solution.
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