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Practical applications of calculus occur more often than you would think. The most common example of them being applied to real world problems is through the relationship between distance and time. The dista...

A quadratic equation is an equation that looks like: x 2 + 4x - 2 = 0. The general form of this is written as ax 2 + bx + c = 0, where a, b and c are all numbers, and x is our unknown variable. In the exampl...

For example: 5x +25 In order to factorise we need to find a common factor for both '5x' and '25'. This factor gets taken outside of the brackets. For this example the common factor is 5. Because you can divi...

Recall: We treat inequality in a similar manner to the equal sign. The steps are: 1. Collect like terms 2. Simplify 3x – 7 > 3 – x step 1 : 3x + x > 3+7 step 2: 4x > 10 4x/4 > 10/4 x > 2.5

What are the maxima and minima? The maxima of a function f(x) are all the points on the graph of the function which are 'local maximums'. A point where x=a is a local maximum if, when we move a small amount ...