Algebra Solving Linear & Quadratic Equations Bundle | Factoring Formula Sheets

Three worksheets on solving linear equations, and quadratic equations by factorising and using the quadratic formula. Solutions are included.

Master linear and quadratic equations with this comprehensive 3-worksheet practice pack. Featuring 72 total problems, it covers multi-step linear equations, solving quadratics by factorising, and using the quadratic formula. Complete step-by-step worked solution keys are included to save you hours of marking time! Perfect for KS3, KS4, and GCSE maths lessons or revision.

Are you looking for comprehensive, ready-to-print practice sheets to help your students master both linear and quadratic equations?
This Linear & Quadratic Equations 3-Worksheet Pack provides extensive, scaffolded practice across three core algebraic skills. Designed to build strong procedural fluency, this resource takes students from multi-step linear equations with fractions and brackets all the way to advanced quadratic formula applications.
Perfect for Key Stage 3 extension, Key Stage 4, GCSE Maths preparation, or international algebra curricula!

What’s Included in This Resource?
• Worksheet 1: Solving Linear Equations (28 Problems)
o Moves systematically from basic one-step equations to multi-step equations involving fractions, expanding brackets, and variables on both sides.
• Worksheet 2: Solving Quadratic Equations by Factorising (30 Problems)
o Includes common factors, difference of two squares, basic trinomials where a = 1, and challenging trinomials where a > 1.
• Worksheet 3: Solving Quadratic Equations Using the Quadratic Formula (14 Problems)
o Features problems resulting in clean integer answers, fractional solutions, and decimal solutions requiring rounding to two decimal places.
• Complete Answer Key
o Includes full, step-by-step worked solutions for all 72 problems—not just final answers! Perfect for easy marking or student self-correction.

Why Teachers Love This Pack:
• No Prep Required: Just print, copy, and you are ready to teach!
• Massive Problem Variety: 72 total structured questions provide plenty of material for diagnostic tests, homework, cover lessons, or extra revision.
• Scaffolded Progressions: Problems gradually increase in difficulty on each page to build student confidence.
• Clean Layout: Generous white space gives students ample room to show their algebraic workings neatly.

Curriculum & Topics Covered:
• Key Stage 3 & 4 National Curriculum: Algebraic proficiency and solving equations.
• GCSE Maths (Foundation & Higher Tier): Solve linear equations in one variable, factorise quadratic expressions, and find exact or approximate solutions to quadratics.
• Target Keywords: Linear equations, quadratic equations, quadratic formula, factorising quadratics, difference of two squares, expanding brackets, algebra worksheets, maths bundle, GCSE maths revision.