Equation of a line 2
This is the second part for the equation of a line chapter. This covers understanding that a line can be described using an equation, understanding how gradient and intercept affect a line, sketching lines...
Category: Algebra
Rearranging Equations higher
This article explores rearranging much complex equations than the previous article. Prior knowledge of what is covered in the previous article is essential. Rearranging 5x + a = 3x + b Example: Rearrange the...
Quadratic Inequalities
This chapter explores quadratic inequalities. The chapter insures that you gain knowledge that quadratic inequalities have two limits and solving quadratic inequalities by inspecting the graph. Before attempting this chapter you must have prior...
Linear Inequalities
This chapter explores linear inequalities. Before attempting this chapter you must have prior knowledge of solving linear equations. The chapter covers solving linear inequalities, displaying the solutions on a number line, solving double-ended inequalities,...
Algebraic Manipulation
This chapter explores algebraic manipulation. It covers expanding brackets with common factors and changing the subject of a formula. Expanding brackets Suppose we wanted to expand and simplify;
Solving Linear Equations
This article covers solving linear equations. It covers using function machines to solve linear equations and formal setting of solutions. To grasp a good understanding of linear equations let’s explore the following example; I...
Multiplying and Dividing Algebraic Fractions
This article explores multiplying and dividing algebraic fractions. By the end of this article you should have a good understanding of how to multiply and divide algebraic fractions, understand how to factorise and cancel...
Expanding brackets
This section explores expanding brackets. It covers multiplying a bracket by a single term, and multiplying pairs of pairs of different brackets. In this article we shall first look at some examples of expanding...
Transforming graphs
This chapter explores graphs transformation. It covers effects which occur when the graphs of f(x) is transformed such as y=af(x), y=f(x)+a, y=f(x+a) and y=f(ax). You must have prior knowledge of basic shapes of graphics...
Simplifying Algebraic Fractions
This section explores simplifying algebraic fractions; Here we focus on simplifying expressions with fractions by factorising and cancelling, adding, subtracting, multiplying and adding algebraic fractions and lastly solving equations which involve fractions. You must...