Algebra

Algebra focuses on understanding and manipulating mathematical symbols and expressions. Here, you'll explore key techniques such as simplification, factorisation, and rearranging formulas, which are essential for solving equations and understanding mathematical relationships.

1. Getting started
   • Algebraic operations
     Use this resource to learn the basics for adding, subtracting, multiplying and dividing algebraic terms.
   • Algebraic substitution
     Use this resource to learn how to simplify algebraic expressions and solve equations by replacing the pronumerals with known values.
   • Expansion
     Use this resource to learn how to remove brackets from algebraic expressions.
   • Factorisation
     Use this resource to learn the basics of factorisation.
   • Algebraic fractions – Addition and subtraction
     Use this resource to learn how to add and subtract algebraic fractions.
   • Algebraic fractions – Multiplication and division
     Use this resource to learn how to multiply and divide algebraic fractions.
   • Transposition of formulas
     Use this resource to learn how to rearrange or transpose equations to solve for a specific pronumeral or variable.
   • Transposition of formulas – Brackets and fractions
     Use this resource to learn how to rearrange or transpose equations that involve fractions and brackets.
2. Next steps
   • Quadratic factorisation
     Use this resource to learn what quadratics are and how to factorise them.
   • Perfect squares
     Use this resource to explore perfect squares.
   • Difference of two squares
     Use this resource to learn about the difference of two squares rule.
   • Completing the square
     Use this resource to learn how to factorise quadratics by completing the square.
   • Algebraic fractions – Quadratics
     Use this resource to work with algebraic fractions that contain quadratics.
3. Dive deeper

   • Cubic factorisation
     Use this resource to learn how to factorise cubic expressions using polynomial long division.