AlgebraExam Tips

Common Mistakes to Avoid

Part of Linear Equations · GCSE GCSE Mathematics revision

This exam tips covers Common Mistakes to Avoid within Linear Equations for GCSE Mathematics. Revise Linear Equations in Algebra for GCSE Mathematics with 16 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 4 of 5 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 4 of 5

Practice

16 questions

Recall

12 flashcards

Common Mistakes to Avoid

WRONG: 3x + 7 = 22, so x = 22/3 + 7 (Forgetting to deal with +7 first)
WRONG: Doing an operation to only ONE side (Must do the same to BOTH sides)
RIGHT: Always do inverse operations in reverse order of BIDMAS

Keep building this topic

Read this section alongside the surrounding pages in Linear Equations. That gives you the full topic sequence instead of a single isolated revision point.

Worked Example 1: Two-Step Equation Knowledge Organiser: Linear Equations The Golden Rule of Equations Method: Solving ax + b = c

Practice Questions for Linear Equations

What is the solution to 3x = 12?

A. x = 3
B. x = 4
C. x = 9
D. x = 36

1 markfoundation

Solve x + 7 = 15

1 markfoundation

Quick Recall Flashcards

What does 'solving an equation' mean?

Finding the value of the unknown (e.g. x) that makes the equation true. You isolate x by doing the same operation to both sides.

Golden Rule of solving equations

Whatever you do to one side, you MUST do to the other side to keep the equation balanced.

16 questions on Linear Equations — practise free

Instant marking, adaptive difficulty, and 12 spaced repetition flashcards. Free until your GCSEs.

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Worked Example 1: Two-Step Equation

Knowledge Organiser: Linear Equations