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Maths
GCSE

Solve 5w – 3 = 3w + 15

You need to solve the question so this means you need to work out the value of w. To work out the value of w you rearrange the terms and make w the subject of the equation. 

Start with minusing 3w ...

Answered by Danielle H. Maths tutor
7601 Views

Triangle PQR is a right angled triangle. PQ is the hypotenuse and is 5cm long and QR has length 3cm. What is the length of side PR? Show your working.

Pythagoras' theorem is used to calculate the lengths of the sides of a right angled triangle. 

The theorem is as follows : a= b2 + c2, where a is the len...

Answered by Khadija M. Maths tutor
12648 Views

How do I solve an algebraic expression when the unknown is on both sides of the equals sign?

the basic idea is to get everything with the unknown (let's assume this is x) on one side of the equals and everything else on the other side. To do this we use the 'inverse idea' to move our items onto d...

Answered by Coral R. Maths tutor
2527 Views

Solve the simultaneous equations: 6x +2y = 2 and 12x - 3y = 18

6x + 2y = 2 and 12x -3y =18 

Start by multiplying the first equation by two in order to balance both equations to have equal numbers of x

12x + 4y = 4 and 12x - 3y = 18

Rearrange both...

Answered by Jack H. Maths tutor
2987 Views

Solve x2 +2x – 4 = 0, leaving your answer in simplest surd form (4 marks, non calculator question)

'Simplest surd form' is a clue that quadratic factorising will not work for this question, so we must instead use the quadratic formula. It is always a good idea to quote this as marks are often available...

Answered by Fiona O. Maths tutor
14658 Views

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