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Number Algebra and Graphs Algebraic Manipulation and Representation Introducing algebraic language Simplifying Expressions Expanding Expressions Factorising Expressions Evaluating expressions by Substitution Changing the Subject Combining and Simplifying Algebraic Fractions Algebraic Indices 3 Laws of Indices Zero Index Negative Indices Fractional Indices Exponential Functions Equations and Inequalities Linear Equations Constructing Equations Simultaneous Equations Inequalities Quadratic Equations Linear Programming Graphing Inequalities Linear Programming Sequences nth Term Rule Variation Direct Variation Inverse Variation Graphs in Practical Situations Conversion Graphs Difference Distance and Speed Time graphs DistanceTime Graphs SpeedTime Graphs Acceleration and Deceleration Area under SpeedTime Graph Graphs of Functions Parabolas Graphical Solution of Quadratic Functions Reciprocal Functions Linear Functions Exponential Functions Gradient of a Curve Graphical Solution of Equations Graphing Inequalities Functions Evaluating Functions Inverse of Functions Composite Functions Geometry Mensuration Coordinate Geometry Trigonometry Vectors/Matrices/ Transformations Probability Statistics 
Algebraic representation and manipulation
In the 60th minute the trainer decides to replace a player for another. After the game the trainer will evaluate how the substitution affected the outcome of the match. As a mathematician, you do the same when you substitute a value into an algebraic expression and evaluate its outcome. Follow the links below and find out how practical algebra really is! I will explain to you how to manipulate algebraic expressions and equations. You will need these skills to answer many questions on your maths exam. First I will show you the important language which you need to be familiar with (otherwise you do not understand what you are asked to do). Then I will explain to you how to simplify expressions and how to combine like terms. Thirdly I will show you how to get rid of brackets and expand expressions. Hereafter I will show you the exact opposite and explain how to factorise different types of expressions. Then I will explain to you how to evaluate expressions by substitution. The sixth section will be about the transformation of formulae. I will explain to you how you can change the subject of an equation/formula. Finally we will work with algebraic fractions. I will explain to you how to simplify algebraic fractions and how you can combine them. As you can see we have a lot of work to do. So don't waste your time and start your maths revision now! by clicking on the first link! I will see you there!!
