Solving Inequalities Worksheet | Scaffolded One to Multi-Step + Answers

Looking for a comprehensive, no-prep worksheet to help your classes master solving linear inequalities? This progressive 8-page algebra packet contains 24 carefully scaffolded questions that guide learners step-by-step from foundational one-step operations to advanced multi-step inequalities involving algebraic fractions. Perfect for Key Stage 3, GCSE Maths, and IGCSE Maths revision, this independent work packet comes complete with a full, detailed line-by-line answer key to save you valuable grading time.

Eliminate the need to hunt for multiple separate worksheets to differentiate your algebra lessons! This comprehensive, print-and-go worksheet booklet is systematically structured with a built-in learning curve. By intentionally increasing the algebraic complexity with each page, this resource builds student confidence, rewards persistence, and provides an organic path toward secondary school mastery.

Detailed Breakdown of the 5 Scaffolded Tiers
The 24 questions in this booklet scale intentionally in difficulty across 5 distinct stages to promote student confidence and independence:
• Tier 1 (Questions 1 to 6): Foundational one-step inequalities involving basic addition, subtraction, multiplication, and division, including critical practice on flipping the sign when dividing by a negative number.
• Tier 2 (Questions 7 to 12): Two-step inequalities and expressions with variables on both sides requiring basic inverse operations and grouping.
• Tier 3 (Questions 13 to 16): Multi-step inequalities introducing parentheses and expanding single brackets.
• Tier 4 (Questions 17 to 20): Complex multi-step equations featuring negative distribution and multi-variable simplification across the inequality sign.
• Tier 5 (Questions 21 to 24): Advanced, Higher Tier exam-level linear inequalities presented as algebraic fractions requiring a lowest common denominator (LCD) to clear denominators and solve.

Complete Answer Key Included
Never spend your evenings grading algebra papers again! Every single problem in this resource features a completely worked-out, line-by-line solution key. This makes the resource ideal for student self-checking, fast peer assessment, or quick marking by a non-specialist cover teacher.

Curriculum and Exam Board Alignment
This resource perfectly covers the mathematics curriculum requirements for secondary students across multiple exam boards:
• UK National Curriculum: Key Stage 3 (KS3) and Key Stage 4 (KS4) Algebra.
• GCSE & IGCSE Maths: Fully covers objectives for both Foundation and Higher tiers across Edexcel, AQA, OCR, and Cambridge (CIE).