algebraic equivalence
What algebraic equivalence means in Mathematics GCSE, as defined for AQA, Pearson Edexcel.
Definitions of algebraic equivalence
Exam boards and our study guides word this term in slightly different ways. Learn the version your board uses.
Check what you remember
Read the wording for your board, then hide it and explain algebraic equivalence in your own words. Rough notes are fine. This is a self-check, with no mark or grade.
Reference: AQA
Each step must preserve this, so check by substituting a value such as x = 2 into the original and simplified forms.
Shown by taking one expression and expanding and collecting until it becomes the other, writing every step down.
Topics that use algebraic equivalence
- Notation, vocabulary and manipulation (AQA GCSE)
- Algebra - Notation, vocabulary and manipulation (Pearson Edexcel GCSE)
Related terms
- algebraic notation
- composite functions
- difference of two squares
- equation
- expanding brackets
- Expression
- factorising quadratics
- Formula
Using algebraic equivalence in the exam
Check the command word and mark scheme for your exact question. After comparing your explanation with the reference, use the term in an answer on the linked topic. This practice does not predict an exam mark.
Practise Mathematics questions
Create a free account to answer exam-style questions on this topic and get feedback on your answers.
A week of Premium from your first lesson · Then the free plan continues · No card, no charge