## Algebra

- A1.1 Algebraic operations
Introducing the basic skills for addition, subtraction, multiplication and division of algebraic expressions.

- A1.2 Algebraic substitution (PDF)
Play the Algebraic substitution video.

- A1.3 Removing brackets
Brackets are a common part of mathematical equations. They are used to express mathematical formulae. This module explains how to work with brackets.

- A1.4 Algebraic fractions: Addition and subtraction
Learn how to use addition and subtraction for fractions involving pro-numerals and variables.

- A1.5 Algebraic fractions: Multiplication and division
In this module we cover the multiplication and division of fractions containing algebraic terms involving pro-numerals and variables.

- A1.6 Quadratics (PDF)
More complicated algebraic fractions may contain quadratic expressions or fractions within fractions.

- A1.7 Partial fractions (PDF)
To add fractions, rewrite the fractions with a common denominator then add the numerators.

- A2.1 Rearranging formulae
Rearranging formulas, also called transposition of formulas, is a necessary skill for most courses. This module provides essential skills in manipulating formulas.

- A2.2 Rearranging formulas: Brackets and fractions
Learn how to manipulate or rearrange formulas that involve fractions and brackets.

- A2.3 Transposition of formulas with challenges
Here we demonstrate manipulating or rearranging complex formulas. Includes overviews and practice questions.

- A3.1 Common factors (PDF)
Expansion means removing brackets. Factorisation means inserting brackets. Find out how.

Play the Common factors video. - A3.2 Perfect squares (PDF)
The rule for expanding perfect squares can be used in reverse for factorising perfect squares.

- A3.3 Difference of two squares (PDF)
Find out about the 'DOTS' rule.

Play the Difference of two squares video. - A3.4 Quadratics (PDF)
Learn about the the general form of a quadratic expression.

Play the Quadratics video. - A3.5 Completing the square (PDF)
A quadratic expression may be factorised by the method of "completing the square".

Play the Completing the square video. - A3.6 Polynomial long division (PDF)
One polynomial may be divided by another of lower degree by long division (similar to arithmetic long division).

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- Algebra
- A1.1 Algebraic operations
- A1.2 Algebraic substitution
- A1.3 Removing brackets
- A1.4 Algebraic fractions: Addition and subtraction
- A1.5 Algebraic fractions: Multiplication and division
- A2.1 Rearranging formulae
- A2.2 Rearranging formulas: Brackets and fractions
- A2.3 Transposition of formulas with challenges
- A3.1 Common factors
- A3.3 Difference of two squares
- A3.4 Quadratics
- A3.5 Completing the square