pdf Solving And Graphing Inequalities Involving Negatives

This worksheet provides targeted practice with solving and graphing one-variable linear inequalities that include negative values. Students solve each inequality algebraically and then graph the solution on a number line, reinforcing the connection between symbolic manipulation and visual representation. The problems emphasize careful handling of negatives, a common area of difficulty for students.

Students work through inequalities such as \(4x - 9 > -17\), \(-4x + 6 5\), then represent each solution using open or closed circles and arrows. Several problems require reversing the inequality symbol when dividing by a negative number, reinforcing this critical rule through repeated application. The included graphing grids support accuracy and clarity in student work.

By combining solving and graphing within each problem, this resource strengthens conceptual understanding and procedural fluency. It works well as guided practice, independent work, or review during a 7th-grade expressions and equations unit.

Skills Assessed

• Solving one-variable linear inequalities
• Working with negative constants and coefficients
• Reversing inequality symbols when dividing by negatives
• Graphing inequality solutions on a number line
• Interpreting solution sets visually

Details

• Practice worksheet format
• 10 solve-and-graph inequality problems
• All problems include negative values
• Answer key included

ID# 0730