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Solving linear equations

Unknowns on both sides

41 self-marking GCSE and IGCSE practice questions on Unknowns on both sides, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Instant marking with full worked solutions on every question.

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Sample Unknowns on both sides questions

A few of the 41 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 12 marksGrade 4
Solve. $3x+12=9-7x$
Show the worked solution
$3x+12=9-7x \Rightarrow 3x+7x=9-12 \Rightarrow 10x=-3 \Rightarrow x=-0.3$

What are the common mistakes in Unknowns on both sides?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Loses or flips a sign when moving a term across the equals sign (distinct from a bracket-expansion sign error)
Made a sign error when collecting the x-terms and constants onto opposite sides
Gives an intermediate value (e.g. before the final division/simplification) as the final answer
Found 10x = 14 but forgot to divide by 10
Divides a negative number by a negative number but keeps the result negative, instead of recognising it should be positive
Divides -20 by -2 but treats the result as negative (forgetting that a negative divided by a negative is positive), giving m = -10 instead of m = 10.

Quick answers about Unknowns on both sides

How many Unknowns on both sides practice questions are there?: There are 41 self-marking GCSE and IGCSE Maths questions on Unknowns on both sides, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Unknowns on both sides?: No. You can start practising Unknowns on both sides straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.