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To answer this question we need to combine like terms so that we do not have multiple x's. Knowing the order of operations is key here. First, we must multiple the coefficients outside the parentheses wit...

I would start off by asking them if they know the Pythagoras theorem. If they don't, I would refresh their memory and explain that its a²+b²=c² where...

Start by multiplying equation (2) by 4 so both equations contain 4 lots of x: 4x - 12y = 20 Then take away equation 1 from equation 2 to eliminate x -13y = 13 divide by 13 and then reverse the negative si...

expand the brackets to get x²-2x+3x-6=4x+22 bring all the terms to one side x²-2x+3x-6-4x-22=0 (remember:if you do something to one side, do the same thing to the other! e.g. -4x on ...

To solve the inequality, it must first be factorised. This could be done by the ‘complete the square’ method. However in this example it is more efficient to find a pair of numbers that multiply to give t...