Solving and Graphing Two-Step Inequalities Worksheet | Algebra 1 Number Lines

A no prep worksheet on solving and graphing two-step inequalities. There are 24 problems and detailed solutions are included.

Equip your secondary mathematics students with this comprehensive, classroom-ready practice packet! Designed specifically for Key Stage 3, Foundation Tier GCSE, or Higher Tier GCSE students, this resource includes a robust set of multi-step inequality questions complete with full, step-by-step worked solutions and number line graphs.

Whether you need a targeted homework task, an in-class practice workshop, a revision lesson, or a dependable assessment, this packet provides a seamless way to build student confidence with inverse operations, negative coefficients, and number line graphs.

What is Included?

• Multi-Step Practice Questions: A wide variety of inequalities that progress naturally in difficulty.
• Full Step-by-Step Worked Solutions: Comprehensive algebraic breakdowns for every single question, making marking a breeze or allowing students to self-assess effectively.
• Visual Number Line Graphs: Complete visual solutions showing open or solid circles with correct arrow directions.
• Versatile Layout: Perfectly sized boxes give students plenty of dedicated space to write out their working cleanly.

Core Concepts Covered

• Using inverse operations to isolate algebraic variables.
• Reversing the inequality sign when multiplying or dividing by a negative number.
• Representing solutions visually on a horizontal number line.
• Distinguishing between open circles (strict inequalities) and solid circles (inclusive inequalities).
• Dealing with fractions, negative values, and expanding brackets.

Perfect For:

• Daily Homework or Independent Learning Tasks
• Small-Group Intervention & Remediation
• End of Topic Assessment & Exam Revision
• Quick and Easy Emergency Cover Plans

Curriculum Alignment

• Key Stage 3 Mathematics: Covers algebraic proficiency, solving linear inequalities, and representing inequalities on a number line.
• GCSE Mathematics (Foundation & Higher): Directly targets core algebraic manipulation, solving linear inequalities in one variable, and finding solution sets.