Learning Lab

Introducing the basic skills for addition, subtraction, multiplication and division of algebraic expressions.

Play the Algebraic substitution video.

Brackets are a common part of mathematical equations. They are used to express mathematical formulae. This module explains how to work with brackets.

Learn how to use addition and subtraction for fractions involving pro-numerals and variables.

In this module we cover the multiplication and division of fractions containing algebraic terms involving pro-numerals and variables.

More complicated algebraic fractions may contain quadratic expressions or fractions within fractions.

To add fractions, rewrite the fractions with a common denominator then add the numerators.

Rearranging formulas, also called transposition of formulas, is a necessary skill for most courses. This module provides essential skills in manipulating formulas.

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

Here we demonstrate manipulating or rearranging complex formulas. Includes overviews and practice questions.

Expansion means removing brackets. Factorisation means inserting brackets. Find out how.
Play the Common factors video.

The rule for expanding perfect squares can be used in reverse for factorising perfect squares.

Find out about the 'DOTS' rule.
Play the Difference of two squares video.

Learn about the the general form of a quadratic expression.
Play the Quadratics video.

A quadratic expression may be factorised by the method of "completing the square".
Play the Completing the square video.

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