I was out the day we did these and when my maths teacher went through them with me he was a bit rushed and i still don't really understand them. My maths exam is in two days and i need help.

Hi
Algebraic fractions are simply fractions with algebraic expressions on the top and/or bottom.
When adding or subtracting algebraic fractions, the first thing to do is to put them onto a common denominator (by cross multiplying).
When adding or subtracting algebraic fractions, the first thing to do is to put them onto a common denominator (by cross multiplying).
e.g. 1 + 4
(x + 1) (x + 6)
= 1(x + 6) + 4(x + 1)
(x + 1)(x + 6)
= x + 6 + 4x + 4
(x + 1)(x + 6)
= 5x + 10
(x + 1)(x + 6)
Solving equations
When solving equations containing algebraic fractions, first multiply both sides by a number/expression which removes the fractions.
Example
Solve 10 -2 = 1
(x + 3) x
multiply both sides by x(x + 3):
∴ 10x(x + 3) - 2x(x + 3) = x(x + 3)
(x + 3) x
∴ 10x - 2(x + 3) = x2 + 3x [after cancelling]
∴ 10x - 2x - 6 = x2 + 3x
∴ x2 - 5x + 6 = 0
∴ (x - 3)(x - 2) = 0
∴ either x = 3 or x = 2
Just remember to attempt every question,even it looks difficult, you get attempt marks from writing the first sentence

arthurmoran— 25/05/16