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Inequalities

This is an inequality: 2 < 4 Which means 2 is less than 4. Sometimes, you get inequalities with variables: x + 9 > 4 And you have to...

Simple algebraic fractions

Complex algebraic fractions can be very hard to explain, so I'm just going to cover the simpler ones in this topic. Don't worry, though -...

Simultaneous equations

This is where you are given 2 different equations with 2 different variables: (1) x - y = 5 (2) x + 2y = 11 Ok, so where do we start?...

Factorising quadratics

Ok, so factorising is the opposite of expanding - you put the expression back in the brackets! (This can be used to solve quadratic...

Expanding double brackets

This is pretty much the same as single brackets, except more complex. For example: Expand and simplify (x + 2)(x - 3). So, we multiply...

Writing formulae

Right, so we get this question: Laura buys x apples. James is going to buy twice as many apples as Laura, but he decides to put 3 back....

Solving linear equations

Let's say this is our question: Solve the equation x + 2 = 2x + 9 What we want is for x to be on its own, because then we can find out...

Simplifying like terms

OK, so we get this question: Simplify 3x + 6x + 7x + 9 - 11. First, we need to work out which terms are "like" - for example, 3 and 6...

Finding the nth term

Ok, so here is a sequence: 45, 42, 39, 36 Say we wanted to find a specific "term" of the sequence - e.g. the 10th term or the 100th term....

Expanding single brackets

Simple expressions will look something like this: x(x+9) More complex ones could have two brackets: (x+3)(x-2) For now, let's stick with...

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