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Maths equations


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A1.1 Algebraic operations

This section introduces the basic skills for addition, subtraction, multiplication and division (+ - × ÷) of algebraic expressions.

A1.3 Removing brackets

What do I do with the brackets? Brackets are useful to group numbers, pronumerals and operations together as a whole. Whatever is around the brackets affects all the things inside the brackets. View...

A1.5 Algebraic fractions: Multiplication and division

What is an algebraic fraction? The numerator(top) or denominator(bottom) of a fraction can be in algebraic form involving numbers and variables (represented by pronumerals or letters). In this...

A2.1 Rearranging formulae

Learn how to manipulate or rearrange formulas that involve fractions and brackets.

A2.3 Transposition of formulas with challenges

Are you still trying to get that variable on its own from the formula, but it is in a tricky place – or maybe it appears more than once? Here we demonstrate manipulating or rearranging complex...


What is algebra? Why are there letters in the equation? Algebraic expressions involve pronumerals (letters) to represent values. Pronumerals can take many different values. We often need to plug...

Complex numbers

Complex numbers are a group of numbers that help us to get mathematical solutions where real numbers (which includes positive and negative, counting numbers, fractions and decimals) just can’t work...

Equation solving

ES1 Linear equations are equations with one variable which may be solved using transposition skills to make the variable the subject of the equation.

ES1 Linear equations

Equations with one variable may be solved using transposition skills to make the variable the subject of the equation.

ES4 Quadratic formula

The solutions to any quadratic equation can be found by substituting the values a, b, c into the quadratic formula.

ES5 Cubic equations, polynomial long division

One polynomial may be divided by another of lower degree by long division (similar to arithmetic long division).

ES6 (ILS2.2) Exponential equations

Indicial (or exponential) equations have the form a to the power of x= b If we can write b as a number with a base a and an index, then we can equate the indices to find x. If two equal numbers are...