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MA11-01 Maths Watch

Solving Linear Equations by Balancing

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In this lesson

In this video you'll learn about solving linear equations by balancing for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to solve a linear equation with the unknown on one or both sides, including one with a fractional coefficient, by applying the same operation to both sides.

What it covers

  1. 1:06 Solving linear equations by balancing
  2. 3:13 Unknown on both sides
  3. 6:42 The fraction case
  4. 8:15 Your turn
  5. 9:14 Exam technique
  6. 10:48 Graph footnote

Key words

For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Edexcel IGCSE 4MA1, OCR GCSE J560, Cambridge IGCSE 0580

On the specification

BoardSpecStatement
AQA GCSE 8300A17Solve linear equations in one unknown algebraically
Edexcel GCSE 1MA1A17Solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation); find approximate solutions using a graph
Eduqas GCSE C300FA14Solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation); find approximate solutions using a graph
Eduqas GCSE C300HA17Solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation); find approximate solutions using a graph
Edexcel IGCSE 4MA1F2.4ASolve linear equations, with integer or fractional coefficients, in one unknown in which the unknown appears on either side or both sides of the equation
OCR GCSE J5606.03aSolve linear equations in one unknown algebraically.
OCR GCSE J5606.03dUse a graph to find the approximate solution of a linear equation.
Cambridge IGCSE 0580C2.5Construct simple expressions, equations and formulas.
Cambridge IGCSE 0580E2.5Construct expressions, equations and formulas.
For teachers

This GCSE Maths lesson teaches solving linear equations by balancing. By the end, students should be able to solve a linear equation with the unknown on one or both sides, including one with a fractional coefficient, by applying the same operation to both sides. It works through two worked examples and the mistakes examiners report.