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Learn Algebra step by step — from understanding letters and expressions to solving equations, working with quadratics and simplifying algebraic fractions.

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✅ 16 complete lessons

✅ Beginner to advanced learning path

✅ Worked examples and practice

📝 Comprehensive worksheet coming next

Overview

Algebra is a way of using letters to represent numbers or values we do not know yet. Instead of writing long sentences, Algebra helps us write mathematical ideas in a shorter and clearer way.

StudyNest approach: We will not rush. Each lesson explains the idea first, then shows examples, then gives you a chance to practise.

📚 Algebra Learning Path

Begin with the foundations, strengthen your problem-solving skills, and then progress to more advanced Algebra. Each lesson builds on ideas introduced earlier in the course.

🟢 Beginner — Build the Foundations

Start here if Algebra is new to you or if you want to strengthen your basics.

  1. What is Algebra?
  2. Variables, Constants and Terms
  3. Algebraic Expressions
  4. Collecting Like Terms
  5. Substitution
  6. Formulae
  7. Expanding Brackets
  8. Factorisation
  9. Linear Equations

🟡 Intermediate — Apply Your Skills

Use your foundation skills to solve equations and real-life problems.

  1. Word Problems with Linear Equations
  2. Changing the Subject of a Formula
  3. Simultaneous Equations
  4. Inequalities

🔴 Advanced — Master Algebra

Bring several Algebra skills together and prepare for more demanding questions.

  1. Quadratic Expressions
  2. Quadratic Equations
  3. Algebraic Fractions
💡 StudyNest Tip: You may open any lesson you need for revision. However, students learning Algebra for the first time will benefit from following the lessons in order.

🎯 Learning Objectives

By completing the Algebra learning path, you should be able to:

  • Understand why letters are used in Mathematics
  • Identify variables, constants, coefficients and terms
  • Write and simplify algebraic expressions
  • Collect like terms correctly
  • Substitute values into expressions and formulae
  • Expand single and double brackets
  • Factorise linear and simple quadratic expressions
  • Solve linear equations and word problems
  • Change the subject of a formula
  • Solve simultaneous equations using elimination and substitution
  • Solve and interpret inequalities
  • Recognise, expand and factorise quadratic expressions
  • Solve simple quadratic equations by factorisation
  • Simplify and calculate with algebraic fractions
  • Choose suitable methods and check your answers

📦 Algebra Resources

Use these resources after completing the lessons or whenever you need extra revision.

Complete Topic Practice

📝 Comprehensive Algebra Worksheet

Bring together everything you have learnt across the 16 Algebra lessons. The worksheet begins with foundation questions and progresses to equations, inequalities, quadratics and algebraic fractions.

📝

Algebra Revision Worksheet

Test your knowledge with approximately 70 mixed questions, including exam-style and challenge problems.

70 Questions 16 Lessons Covered Foundation to Advanced
Open Worksheet →
✅ Fully Worked Solutions
Coming next
📄 Algebra Summary Sheet
Coming soon
🧩 Challenges and Puzzles
Coming soon