Three worksheets on solving linear inequalities. There are 58 problems in total.
The problems involve:
- one step inequalities
- two step inequalities
- inequalities with the variable on both sides
- inequalities with brackets
- inequalities with fractions
- graphing the solution of an inequality on the number line
- word problems that can be used using inequalities
The first worksheet is on one-step and two-step inequalities, the second worksheet is on multi-step inequalities and the third worksheet is on one-step, two-step and multi-step inequalities.
Detailed solutions to all worksheets are included.
Are you looking for a complete, ready-to-print unit to help your students master inequalities? This comprehensive 3-part resource pack is the ultimate tool to guide your students step-by-step from basic one-step operations all the way to complex multi-step fractional equations and real-world word problems!
This no-prep, highly scaffolded resource pack is designed to build maths confidence. It allows you to easily differentiate your instruction—providing an accessible starting point for struggling learners while offering rigorous extensions for advanced students.
What is Included in This Pack?
- Activity Sheet 1: One-Step & Two-Step InequalitiesFeatures carefully sequenced problems with dedicated number line spaces. Students will practice adding, subtracting, multiplying, and dividing, as well as mastering two-step structures.
- Activity Sheet 2: Advanced Multi-Step InequalitiesPushes students to build strong algebraic muscles. It introduces complex equations featuring expanding brackets (the distributive property), variables on both sides, parentheses, and multi-step fractional coefficients.
- Activity Sheet 3: Real-World Word Problems & ApplicationChallenges students to apply their knowledge to real life. Includes engaging, multi-step scenario problems where students must write their own inequalities from scratch, isolate the variable, and interpret the final solution.
- Negative Coefficient Mastery Throughout: Packed with critical opportunities across all three resources for students to practice flipping the inequality sign when multiplying or dividing by a negative number.
- Full Step-by-Step Solutions: Save hours of marking time with a complete, completely worked-out answer key that you can easily project on the board for student self-assessment or peer marking.
Perfect For:
- Key Stage 3 (KS3): Year 7, Year 8, and Year 9 maths classes.
- Key Stage 4 (KS4): Foundation and Higher GCSE revision, exam preparation, or remediation.
- Flexible Use: Ideal for homework assignments, independent study, math centres, or hassle-free cover lessons.
Curriculum Alignment:
- UK National Curriculum / GCSE Maths: Algebra – Solve linear inequalities in one variable (including those with variables on both sides, brackets, and fractions), represent the solution set on a number line, and solve real-world contextual problems.
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