Category: Algebra

Simplifying 0

Simplifying

This chapter focuses on simplifying expressions. It covers adding together simple lists of letters and numbers including negatives in the list. And lastly multiplying and dividing simple algebraic expressions. Algebra is a very important...

Cancelling Algebraic Fractions 0

Cancelling Algebraic Fractions

This article explores cancelling algebraic fractions. It covers cancelling down algebraic fractions including brackets. Prior knowledge of factorisation and expanding will be useful in this article When working with fractions you can sometimes divide...

Adding Algebraic Fractions 1

Adding Algebraic Fractions

This section explores adding algebraic fractions. It covers adding algebraic fractions with a single term in the denominator, adding fractions with linear denominators, adding fractions with quadratic denominators which will be quite advanced for...

Rules and Formulae 0

Rules and Formulae

This chapter explores rules and formulae. It covers using letters to represent unknown numbers, substituting numbers into simple expressions and formulae and understanding basic fomulae. Fomulae contain letters which represent unknown values. The values...

Factorising linear expressions 1

Factorising linear expressions

This section exploles factorising linear expressions, it covers factorising by a common number: 4x+8y = 4(x+4y), factorising by a common letter, 4x+x² = x(4+x), factorising by a common number and letter 2x+4x² = 2x(1+2x)....

Formula substitution 1

Formula substitution

This chapter explores substitution in formulae or formulas. The chapter first looks at subsitition in simple equations or formulae then follows on to much harder expressions or formulae. Overall it is a very simple...

Simultaneous equations 0

Simultaneous equations

In this chapter we’re going to be exploring simultaneous equations. Mr Andrews runs a coffee shop that only sells cups of coffee and cups of tea. A man one day walks into his shop...

Factorising Quadratics 0

Factorising Quadratics

This article explores factorising quadratic equations/expressions. We shall explore factorising quadratics with x² coefficient and then factorising the difference between two squares. This article explains basic examples of factorising quadratics. This article contains harder...

Nth Term 0

Nth Term

In this chapter we’re going to explore Nth term. Your will understand the terminology used in sequence questions and then be able to work out the formula for the nth tem of simple arithmetic...

Completing the square 2

Completing the square

In this chapter we’re going to explore completing the square. You will understand how to the square, and also be able to use complete the square to solve quadratic equations. Example The following is...