pdf Solving Inequalities

This worksheet provides engaging practice with solving one-variable linear inequalities through a riddle-based format that encourages accuracy and perseverance. Students solve each inequality and then use their solutions to decode the answer to a question, creating an immediate self-checking and motivating component.

Problems include inequalities such as \(5a - 3 > 12\), \( -4r + 7 > -1\), and \(\tfrac{e + 6}{3} > 2\). Students work with negative coefficients, fractions, and variables on both sides, requiring careful use of inverse operations and attention to inequality direction. Writing the variable above the correct solution reveals the riddle’s answer, reinforcing precision throughout the activity.

By blending algebraic practice with a puzzle-style structure, this resource helps students build fluency while keeping them actively engaged. It works well as independent practice, a station activity, or enrichment within an expressions and equations unit.

Skills Assessed

• Solving one-variable linear inequalities
• Working with negative values and coefficients
• Solving inequalities involving fractions
• Isolating variables using inverse operations
• Checking solutions for accuracy

Details

• Practice worksheet with riddle component
• 11 inequality problems
• Includes fractions and negative coefficients
• Answer key included

ID# 0857