MathsroarJun 24, 20201 min readInequalitiesThis 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...
MathsroarJun 22, 20201 min readSolving harder quadratics - factorisingAll 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...
MathsroarJun 20, 20201 min readSolving quadratics - factorisingHere 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...
MathsroarJun 12, 20201 min readAdding and subtracting algebraic fractionsThis 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...
MathsroarJun 9, 20201 min readMultiplying algebraic fractionsThese are basically the same as multiplying normal fractions, only with variables in them. I would advise looking at multiplying...
MathsroarJun 8, 20201 min readSimple algebraic fractionsComplex 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 -...
MathsroarMay 23, 20202 min readSimultaneous equationsThis 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?...
MathsroarMay 14, 20201 min readFactorising quadraticsOk, so factorising is the opposite of expanding - you put the expression back in the brackets! (This can be used to solve quadratic...
MathsroarMay 14, 20201 min readExpanding double bracketsThis is pretty much the same as single brackets, except more complex. For example: Expand and simplify (x + 2)(x - 3). So, we multiply...
MathsroarMay 7, 20201 min readWriting formulaeRight, 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....
MathsroarMay 4, 20201 min readSolving linear equationsLet'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...
MathsroarMay 4, 20201 min readSimplifying like termsOK, 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...
MathsroarMay 3, 20201 min readFinding the nth termOk, 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....
MathsroarMay 3, 20201 min readExpanding single bracketsSimple 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...