Show Working

AlgebraFoundation and Higher

Simplifying expressions: GCSE maths practice with worked answers

Show Working has 1 kind of simplifying expressions question for GCSE Maths, for Foundation and Higher. Every question is new each time and comes with the working, step by step.

Simplifying an expression means collecting like terms: adding and subtracting the terms that have the same letter, and the number terms on their own.

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Worked example 1: collect like terms

Simplify 3a − 2a − 3b − 4a.

  1. Collect the a terms: 3 − 2 − 4 = −3, so −3a.
  2. Collect the b terms: −3 = −3, so −3b.
  3. Put the answer together: −3a − 3b.

Answer −3a − 3b

01 / What's covered1 kind of question

Simplifying expressions questions in the app

Each kind makes fresh questions every time, so you can practise as often as you like.

  • Collect like termsBoth tiers

Worked example 2: collect like terms

Simplify 9 − 8x − 9x − 8 − 6x.

  1. Add the plain numbers: 9 − 8 = 1.
  2. Collect the x terms: −8 − 9 − 6 = −23, so −23x.
  3. Put the answer together: −23x + 1.

Answer −23x + 1

A common mistake

Losing the sign in front of a term. The sign belongs to the term after it, so in 9 − 8x − 9x the two x terms are −8x and −9x.

02 / Practise itiPhone and iPad

Practise simplifying expressions in Show Working

In the app, open Topics and choose Simplifying expressions for ten fresh questions. Ask for a hint if you are stuck, and open the working to see the method one step at a time.

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More algebra topics

The worked answer in Show Working: the answer, then numbered steps in plain words

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