pdf Solve And Graph Inequalities

This worksheet provides practice with solving and graphing one- and two-step linear inequalities. Students solve each inequality algebraically and then represent the solution on a number line using open or closed circles and directional arrows. The problems include addition, subtraction, multiplication, division, and fractional coefficients, helping students build fluency while reinforcing correct inequality reasoning.

Students work through inequalities such as \(5x + 2 > 32\), \(x + 13 < 45\), and \(4x - 4 \le 36\), then graph each solution set accurately. Several problems require reversing the inequality symbol when dividing by negative numbers, reinforcing a key conceptual rule. The consistent solve-and-graph structure helps students connect symbolic solutions to visual representations.

By combining algebraic solving with number line graphing, this resource supports conceptual understanding and procedural accuracy. It works well as guided practice, independent work, or review when transitioning from solving equations to working with inequalities.

Skills Assessed

• Solving one- and two-step linear inequalities
• Working with fractional and integer coefficients
• Reversing inequality symbols when required
• Graphing inequality solutions on a number line
• Interpreting solution sets visually

Details

• Practice worksheet format
• 24 solve-and-graph inequality problems
• Includes one-step and two-step inequalities
• Answer key included

ID# 0462