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Simple linear equations
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Complex linear equations
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Simultaneous equations

Equations with variables on both sides

Once we get to equations of this kind, where we have unknowns on both sides, this is the moment when like St Paul, in 1 Corinthians 13, we must Put away childish things. It is now time to say bye-bye to the flow chart method of solving equations. It doesn't work any more and if you have not started to use a slightly more grown-up, algebraic method, now is your time. I would suggest going back and working through some of the harder questions in the previous section, before embarking on this new material.

Equations with brackets

Brackets allow us to create more interesting and complicated mathematics. With well placed brackets we can change the meaning of an expression (eg. $2 \times 3+4=10$ and $2 \times (3+4) = 14$). In this section, we will look at how we solve equations involving brackets. If you are unsure about how this works, you should have a look at Order of operations (BIDMAS) again.

Equations with fractions

Fractions turn up quite often in algebra and here we will address some of the problems with solving equations which contain fractions.