GCSE Maths textbook

GCSE Maths Linear Equations: lesson and practice questions

  • Strand Algebra
  • Tier Foundation and Higher
  • Practice 160 questions with step-by-step solutions

Edexcel GCSE (9–1) Mathematics 1MA1, Foundation tier. Content references: A17, A21.

Open Foundation chapter Open Higher chapter

By the end of this chapter you will be able to

  • Explain what an equation is and use the balance idea: do the same to both sides
  • Solve one-step and two-step equations, including negative and fractional solutions
  • Solve equations with the unknown on both sides and equations with brackets
  • Solve equations that contain fractions (Higher: including algebraic fractions)
  • Form an equation from words, perimeters, angles, ages and costs, solve it and interpret the answer
  • Check a solution by substitution, and find approximate solutions using a graph

You should already know

  • Negative numbers and the four operations (Chapter 1)
  • Collecting like terms and expanding brackets (Chapter 7)
  • Fractions and common denominators (Chapter 3)

Where this leads

  • Rearranging formulae (Chapter 8)
  • Inequalities (Chapter 10)
  • Straight-line graphs (Chapter 12)
  • Simultaneous equations (Chapter 14)

Foundation lessons in this chapter

  1. 9.1 Equations and the balance idea · Worksheet (PDF) · Answers (PDF)
  2. 9.2 Two-step equations · Worksheet (PDF) · Answers (PDF)
  3. 9.3 Negative and fractional solutions, and checking · Worksheet (PDF) · Answers (PDF)
  4. 9.4 The unknown on both sides · Worksheet (PDF) · Answers (PDF)
  5. 9.5 Equations with brackets · Worksheet (PDF) · Answers (PDF)
  6. 9.6 Equations with fractions · Worksheet (PDF) · Answers (PDF)
  7. 9.7 Forming equations from words · Worksheet (PDF) · Answers (PDF)
  8. 9.8 Equations from geometry: perimeters and angles · Worksheet (PDF) · Answers (PDF)
  9. 9.9 Solving equations using graphs, and interpreting solutions · Worksheet (PDF) · Answers (PDF)
  10. Summary and key words
  11. Check-up and exam-style questions · Worksheet (PDF) · Answers (PDF)

Read the whole Foundation chapter on one page (good for printing).

Higher lessons in this chapter

  1. 9.1 Equations and the balance idea · Worksheet (PDF) · Answers (PDF)
  2. 9.2 Two-step equations · Worksheet (PDF) · Answers (PDF)
  3. 9.3 Negative and fractional solutions, and checking · Worksheet (PDF) · Answers (PDF)
  4. 9.4 The unknown on both sides · Worksheet (PDF) · Answers (PDF)
  5. 9.5 Equations with brackets · Worksheet (PDF) · Answers (PDF)
  6. 9.6 Equations with fractions · Worksheet (PDF) · Answers (PDF)
  7. 9.7 Forming equations from words · Worksheet (PDF) · Answers (PDF)
  8. 9.8 Equations from geometry: perimeters and angles · Worksheet (PDF) · Answers (PDF)
  9. 9.9 Solving equations using graphs, and interpreting solutions · Worksheet (PDF) · Answers (PDF)
  10. Summary and key words
  11. Check-up and exam-style questions · Worksheet (PDF) · Answers (PDF)

Read the whole Higher chapter on one page (good for printing).

Practise with real exam questions

Every exam board publishes its past papers and mark schemes free on its own website. We link you straight there, organised by subject.

GCSE Maths past papers