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Maths
GCSE

Factorising and Expanding brackets

How to FACTORISE an equation:
To avoid confusion; x = xx = multiplication​Take the example; 3x +18
In order to factorise we need to find a common factor for both '3x' and '18' and this number wi...

JB
Answered by Josie B. Maths tutor
6065 Views

How do I solve the following question. 'Find the values of x such that 2log3(x) - log3(x-2) = 2'.

How do I solve the following question. 'Find the values of x such that 2log3(x) - log3(x-2) = 2'.To simplify this equation in order to solve it, the first step is to simplify the 2lo...

LR
Answered by Lauren R. Maths tutor
16092 Views

Solve algebraically the simultaneous equations x^2 +y^2 = 25, y – 3x = 13

  1. Rearrange y - 3x = 13y = 3x + 13 2. Substitute into x^2 +y^2 = 25x^2 + (3x + 13)^2 = 25 3. Expand bracketx^2 +(9x^2 + 39x +39x +169) = 25 4. Form quadratic equation 10x^2 + 78x + 144 = 0 (Dividing b...
EN
Answered by Emily N. Maths tutor
4608 Views

There are 5 girls, 6 boys and some adults in a classroom. The probability that a girl is chosen is 1/3. What is the probability of an adult being chosen?

This is a question taken straight out of an Edexcel exam paper. I think it's a good test of GCSE level probability and algebra. We don't know how many adults there are to begin with so let's say n...

JM
Answered by Jack M. Maths tutor
9124 Views

John is n years old where n is an whole number. Kim is three years younger than John and Vanessa is half of Kim's age. Write an expression for Vanessa's age in terms of n.

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