Solve Systems of Linear Inequalities Worksheet and Key

Solve Systems of Linear Inequalities Worksheet and Key
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(360 KB|4 pages)
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This worksheet (and key) contains 15 problems that provide practice for the solving systems of linear inequalities. There are 12 problems where students solve systems of linear inequalities graphically, four with 3 boundary lines and one with 4 boundary lines and one with no solutions (since my students struggle with the idea that systems of inequalities can have no solution). There are 4 word problems about solving systems of linear inequalities; these are not solving word problems with systems of linear inequalities as I teach that as a separate lesson after this lesson. (Look for a separate lesson and worksheet on “Solving Word Problems with Systems of Linear Inequalities).

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

Log in to see state-specific standards (only available in the US).
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Total Pages
4 pages
Answer Key
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