pdf Inequality Story Problems

This worksheet focuses on writing and solving one-variable linear inequalities from real-world situations. Students interpret contextual constraints, define variables, write appropriate inequalities, and solve them to determine allowable values. The scenarios emphasize maximums, minimums, and limits, helping students connect algebraic reasoning to practical situations. 

Problems include everyday contexts such as elevator weight limits, height requirements for amusement park rides, staffing ratios at a daycare, calorie limits, temperature thresholds, and seating capacity. For example, students model situations using inequalities such as \(600 + w \le 2{,}500\), \(h \ge 58\), and \(1{,}200 + c \le 2{,}000\), then solve to determine the range of valid solutions.

By requiring students to both write and solve inequalities, this resource strengthens conceptual understanding of inequality symbols and reinforces how inequalities are used to describe real-world constraints. It works well as guided practice, independent work, or assessment within an expressions and equations unit.

Skills Assessed

• Writing inequalities from real-world situations
• Solving one-variable linear inequalities
• Interpreting maximum and minimum constraints
• Defining variables to represent unknown quantities
• Explaining solutions in context

Details

• Practice worksheet format
• 6 real-world inequality word problems
• Requires students to write and solve each inequality
• Answer key included

ID# 0459