Solving Equations Maths Lessons & Worksheets (A-Level)

Curriculum Hub → Maths Lessons → Algebra → Equations

This page brings together ready-to-teach equations maths lessons for Key Stage 3, GCSE / IGCSE and A-Level. Browse the full collection, including the balance method and unknown on both sides, simultaneous equations, equations involving indices, exam-style set-up tasks, and trigonometric equations at A-Level, with each lesson designed to support clear modelling, independent practice and exam preparation.

  • Ready-to-teach equations lessons
  • Presentations, worksheets and structured practice
  • Key Stage 3, GCSE / IGCSE and A-Level coverage
  • Scheme of work links for curriculum planning

Teach solving equations with less planning

Save planning time with complete solving equations lesson packs ready to use straight away. Mr Mathematics membership unlocks downloadable PowerPoint presentations, printable worksheets, structured practice and exam-style questions for this topic and the wider lesson library.

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Use the sections below to jump straight to Key Stage 3, GCSE / IGCSE or A-Level equations lessons.
Each resource is designed to reduce planning time and support student progression.

Jump to:  Key Stage 3 Equations  |  GCSE / IGCSE Equations  |  A-Level Equations

Equations: Key Stage 3

These Key Stage 3 lessons establish solving fluency using the balance method, then extend to forming equations from words and diagrams. Topics include:

  • Solving one-step and two-step equations
  • Solving equations with brackets and with the unknown on both sides
  • Setting up and solving equations from written descriptions and geometrical facts
  • Solving linear equations involving fractional terms
  • Forming and solving equations from more complex geometric contexts

Used in:

Ages 11 - 13

Setting up and Solving Equations

Ages 11 - 13

Setting Up Complex Equations

Ages 11 - 13

Solving Equations with Brackets

Ages 11 - 13

Solving Equations with the Unknown on Both Sides

Ages 11 - 13

Solving Linear Equations with Fractions

Ages 11 - 13

Solving One Step Equations

Ages 11 - 13

Solving Two Step Equations

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Equations: GCSE / IGCSE

These GCSE / IGCSE lessons develop reliable equation-solving strategies, including simultaneous equations and iterative approaches, alongside Higher-tier set-up work with ratio and algebraic fractions. Topics include:

  • Linear equations, including unknown on both sides, fractional terms, function machines and more complex linear forms
  • Simultaneous equations: elimination, substitution, graphical interpretation and worded problems
  • Equations involving indices and change of base
  • Exam-style questions on setting up linear equations from contexts
  • Ratio and algebraic fractions (Higher tier)
  • Trial and improvement for non-linear equations

Used in:

Ages 14 - 16

Complex Linear Equations

Ages 14 - 16

Equations with Fractions

Ages 14 - 16

Equations with Function Machines

Ages 14 - 16

Equations with the Unknown on Both Sides

Ages 14 - 16

Exam Style Questions: Setting Up Linear Equations

Ages 14 - 16

Problems with Simultaneous Equations

Ages 14 - 16

Ratio and Algebraic Fractions

Ages 14 - 16

Simultaneous Equations by Substitution

Ages 14 - 16

Solving Equations

Ages 14 - 16

Solving Equations with Change of Base

Ages 14 - 16

Solving Simultaneous Equations

Ages 14 - 16

Solving Simultaneous Equations Graphically

Ages 14 - 16

Trial and Improvement

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Schools & departments: shared access, consistent planning

Give multiple teachers access to the same ready-to-teach resources, support consistent lesson sequencing across classes and reduce duplicated planning across the department. School membership is ideal for teams who want shared access to lessons, worksheets and practice across KS3, GCSE, IGCSE and A-Level.

Equations: A-Level

These A-Level lessons extend algebraic solving into substitution methods for linked equations and systematic work with trigonometric equations in Pure 1 and Pure 2 contexts. Topics include:

  • Simultaneous equations by substitution, including linear and non-linear systems
  • Solving trigonometric equations, including transformed trigonometric forms
  • Trigonometric equations using identities, including quadratic-type equations

Used in:

Ages 16 +

Simultaneous Equations by Substitution

Ages 14 - 16

Solving Equations with Change of Base

Ages 16 +

Transformed Trigonometric Equations

Ages 16 +

Trigonometric Equations

Ages 16 +

Trigonometric Equations and Identities

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