Graphing Systems of Linear Inequalities

Common Core Grade Level: 
Packet includes: 
14 practice problems (with coordinate planes for graphing) and an answer key.

This packet helps students to practice how graph systems linear inequalities and read graphs of linear inequalities. There are many ways to solve systems of inequalities (in which students are trying to find where the solution sets of two inequalities overlap).  One of the first ways that students learn to solve systems of inequalities is by graphing.  Although graphing is one of the least efficient and precise ways to solve a system of linear inequalities, solving by graphing visually demonstrates HOW the solution of a system of inequalities is the area where two solution sets (represented by shading on a coordinate plane) overlap.  Students learning to solve systems of inequalities should start with this method.

Each page starts with easier problems that get more difficult as students work through the packet. After doing all 14 problems, students should be more comfortable doing these problems and have a clear understanding of how to solve them. 

Sample Problem(s): 

Solve and graph the linear system and tell how many solutions the system has.  

Simple:  

$x+y>10$

$x+y<20$  

Advanced:  

$4y>3x+5$  

$20y<15x+75$

Notes: 

Practice problems require knowledge of graphing on a coordinate plane.

Video lesson(s) showing you how to do this type of problem: 
Downloadable File(s): 
Graphing Systems of Linear Inequalities.pdf
Graphing Systems of Linear Inequalites AK.pdf
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