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...
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...
All the equations we've looked at so far began with x2. But what if there were equations that began with 2x2, 3x2, or even 900x2? That's...
Here I'm going to show you how to solve basic quadratic equations. Here's our question: Solve x2 + 5x + 4 = 0. An important point here is...
This topic can be tricky, and if you don't already know how to add and subtract normal fractions, I highly recommend that you do that...
These are basically the same as multiplying normal fractions, only with variables in them. I would advise looking at multiplying...
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 -...
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?...
Ok, so factorising is the opposite of expanding - you put the expression back in the brackets! (This can be used to solve quadratic...
This is pretty much the same as single brackets, except more complex. For example: Expand and simplify (x + 2)(x - 3). So, we multiply...
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....
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...
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...
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....
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...