Expanding a single bracket: GCSE and IGCSE Maths Practice
Expanding and factorising
Expanding a single bracket
29 self-marking GCSE and IGCSE practice questions on Expanding a single bracket, 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 29 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 2-3
Expand 7(x+5).
Show the worked solution
Multiply each term inside the bracket by 7: 7×x=7x, 7×5=35
What are the common mistakes in Expanding a single bracket?
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 the first term, forgetting to multiply the second term
Multiplied the width by the bracket's x term but forgot to also multiply the constant term by the width
Mishandles the sign when distributing a negative term over a bracket
Multiplied by 2 instead of -2, losing the negative sign on the multiplier
Adds the term outside a bracket to each term inside instead of multiplying (distributing) it
Added 9 to each term inside the bracket instead of multiplying by it
Quick answers about Expanding a single bracket
How many Expanding a single bracket practice questions are there?
There are 29 self-marking GCSE and IGCSE Maths questions on Expanding a single bracket, 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 Expanding a single bracket?
No. You can start practising Expanding a single bracket straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
M1
7x+35A1
Question 23 marksGrade 4-5
Expand and simplify 5(x+1)−4(x−6).
Show the worked solution
Expand the first bracket: 5(x+1)=5x+5
Expand the second bracket (careful with the sign): −4(x−6)=−4x+24M1
Combine: 5x+5−4x+24M2
Collect like terms: x+29A1
Question 33 marksGrade 5-6
A rectangular vegetable patch has a width of 3x m and a length of (x+4) m. Write an expression, in its simplest form, for the area of the vegetable patch in m².
Question 43 marksGrade 5-6
A rectangular swimming pool has a width of 5x m and a length of (x−3) m. Write an expression, in its simplest form, for the area of the swimming pool in m².
Question 53 marksGrade 5-6
A rectangular table top has a width of 2x cm and a length of (2x+6) cm. Write an expression, in its simplest form, for the area of the table top in cm².
Question 63 marksGrade 5-6
A rectangular banner has a width of 6x cm and a length of (2x−1) cm. Write an expression, in its simplest form, for the area of the banner in cm².