Linear simultaneous equations

Sample Linear simultaneous equations questions

A few of the 76 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 13 marksGrade 3
   Solve the simultaneous equations: $2x - y = 7$ $2x + y = 5$
   Show the worked solution

What are the common mistakes in Linear simultaneous equations?

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.

• Finds the correct value for one unknown in simultaneous equations but never substitutes back to find the second

  Found $x = 1$ but didn't substitute back to find $y$

• Adds the two equations when subtraction was needed (or vice versa) when eliminating a variable in simultaneous equations

  Added the two equations instead of subtracting them, which doesn't eliminate x correctly here

• Uses the wrong operation or sign when translating a worded description into an algebraic expression

  May have swapped which variable represents the adult price and which represents the child price

Quick answers about Linear simultaneous equations

How many Linear simultaneous equations practice questions are there?

There are 76 self-marking GCSE and IGCSE Maths questions on Linear simultaneous equations, 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 Linear simultaneous equations?

No. You can start practising Linear simultaneous equations straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.