Algebra

What you should know


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Algebraic Expressions

You must be able to work with Algebraic Expressions and Perform Operations


•   Addition and Subtraction

•   Multiplication and Division


The Distributive Law

•   c(a + b) = c × a + c × b = ac + bc

•   (x + y)(a + b) = ax + bx + ay + by


Factorising

•   Finding the Common Factor

•   Factorising a Trinomial


Quadratic Equations

Solving Quadratic Equations


•   Factorising

•   Completing the Square

•   Using the Quadratic Formula


Quadratic Inequalities

Solving Quadratic Inequalities


•   Writing the inequality in standard form

•   Indicating the critical values on a number line

•   Finding the solution for the inequality on a number line.


Simulteneous Equations

•   Solving for x and y simultaneously given two equations.


Nature of Roots

Finding the Nature of Roots


•   Finding the nature of roots from the value of the discriminant.