Equations with brackets: GCSE and IGCSE Maths Practice
Solving linear equations
Equations with brackets
52 self-marking GCSE and IGCSE practice questions on Equations with brackets, 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.
A few of the 52 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 3-4
Solve 2(x+4)=22. Show your working.
Show the worked solution
Expand the bracket: 2x+8=22
What are the common mistakes in Equations with brackets?
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.
Multiplies only one term inside a bracket instead of distributing to all terms
Expanded -3(x - 3) as -3x - 3 instead of distributing -3 to both terms
Loses or flips a sign when moving a term across the equals sign (distinct from a bracket-expansion sign error)
Combined the constants as -12 + 12 instead of 12 + 12
Gives an intermediate value (e.g. before the final division/simplification) as the final answer
Found -2x = 6 but forgot to divide by -2
Quick answers about Equations with brackets
How many Equations with brackets practice questions are there?
There are 52 self-marking GCSE and IGCSE Maths questions on Equations with brackets, 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 Equations with brackets?
No. You can start practising Equations with brackets straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
Subtract 8 from both sides: 2x=14M1
Divide both sides by 2: x=7A1
Question 22 marksGrade 5-6
A cinema charges £(x−2) for a child ticket. Tom buys 3 child tickets for a total of £24.
Form an equation and solve it to find x.
Show the worked solution
3 tickets at (x−2) each cost £24: 3(x−2)=24
Expand the bracket: 3x−6=24
Add 6 to both sides: 3x=30M1
Divide both sides by 3: x=10A1
Question 33 marksGrade 5
Marcin buys 7 rulers and 15 crayons for £7. A ruler costs 12p more than a crayon.
Find the cost of one crayon.
Question 43 marksGrade 5
Here is a question and an incorrect solution:
Question: Solve 4x+5=x+2.
Solution: 4x+5=x+2 → 3x+5=2 → 3x=5−2 → 3x=3 → x=1.
(a) Describe the error made.
(b) Write out a correct solution.
Question 53 marksGrade 6
Five adults and two children go to a theme park. The cost of an adult ticket is £6 more than the cost of a child ticket.
The total cost of the seven tickets is £142.
Work out the cost of an adult ticket.
Question 64 marksGrade 7
The diagram shows a rectangle with length (3x−4) cm and width (x+2) cm.
The length of the rectangle is twice the width of the rectangle.
Calculate the area of the rectangle.