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Rule: An equation must be balanced. Therefore, in order to keep the equation balances, what you do to one side you must do to the other side. Change of subject questions require you to isolate the require...

There are two methods for solving simultaneous equations, the algebraic method or graphic method. While using graphs is a useful visual way to solve simultaneous equations, this is more time consuming and...

1. x² + 15 x + 50 = 0 (rearrange by adding 50 to both sides)

2. (x + 10)(x + 5) = 0 (factorise the quadratic equation)

3. x + 10 = 0 or x + 5 = 0 (for the a...

fg(x) = 2(cx+5) + c

= 2cx+10+c                           [1 mark]

fg(x) = 6x+d. fg(x) = 2cx+10+c

6x = 2cx and d = 10+c          [2 marks]

3 = c and therefore d = 13    [3 marks...

Y= mX + c, 'X' is the horizontal value on the axis, the input value. The 'm' represents the gradient of the line, figured out by the change in y divided by the change in x. The 'c' value is the y intercep...