Solving linear inequalities

Sample Solving linear inequalities questions

A few of the 53 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 3-4
   Solve $5x + 7 \geq 7$.
   Show the worked solution

   Subtract 7 from both sides: $5x \geq 0$ M1

What are the common mistakes in Solving linear inequalities?

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 the inequality symbol and gives an equation instead of an inequality

  Found the boundary value 4 but wrote it as a plain number instead of keeping the inequality $x > 4$

• Omits the required set notation/brackets in the final answer

  Correctly solved and flipped the inequality but didn't write the final answer in set notation

• Doesn't reverse the inequality sign when multiplying or dividing both sides by a negative number

  Divided by a negative number without flipping the inequality sign, then wrote the (wrong-direction) set notation

Quick answers about Solving linear inequalities

How many Solving linear inequalities practice questions are there?

There are 53 self-marking GCSE and IGCSE Maths questions on Solving linear inequalities, 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 Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Solving linear inequalities?

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