## 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...

### Algebra

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...