pdf Graphing Inequalities

This worksheet develops students’ understanding of solving and graphing one-variable linear inequalities. Students first solve each inequality algebraically, including cases that require distributing, combining like terms, and working with negative coefficients. They then graph each solution on a number line, reinforcing the connection between symbolic solutions and visual representations.

Several problems require students to solve and graph inequalities such as
 \(5(x - 3) > 10\).
Other problems include inequalities with variables on both sides and negative coefficients, requiring students to reverse the inequality symbol when appropriate and accurately represent the solution using open or closed circles and directional arrows.

By combining algebraic solving with number line graphing, this resource strengthens students’ procedural fluency and conceptual understanding of inequalities. It works well after introducing solving equations and as preparation for compound inequalities and more advanced algebra topics. 

Skills Assessed

• Solving one-variable linear inequalities
• Distributing and combining like terms
• Solving inequalities with negative coefficients
• Reversing inequality symbols when required
• Graphing solutions on a number line
• Interpreting inequality solutions visually

Details

• Practice worksheet format
• 20 inequality problems
• Includes number line graphing
• Answer key included

ID# 0162