GCSE Maths, Unit 7, Lesson 4 of 5
Brainlag Plus

Forming and solving equations

GCSE Maths, Linear equations and inequalities, 25 minutes

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Turn a problem into an equation: perimeters, angles, ages, prices and plans. Then answer the question that was asked.

Three steps

  1. Say what x stands for ("let a child ticket cost £x").
  2. Write an equation from the facts: totals, perimeters, angle sums (180° on a line or in a triangle, 360° round a point).
  3. Solve, then answer the question asked: often a length, an angle or a price, not x itself.
  1. an adult ticket is £4 more than a child ticket; 2 adults and 3 children pay £43
  2. 2(x + 4) + 3x = 43
  3. 5x + 8 = 43
  4. x = 7: a child ticket costs £7

The rest of this lesson and its 7 practice questions are in Plus.

Screen 1 of 3, free to read.

  • 7 exam-style questions, marked as you go, each with a worked solution
  • The Graphing Calculator beside every question
  • Anything you get wrong is saved to your flashcards