When asked to find the n-th term of a linear sequence, you are asked to find the rule or the formula that allows you to find any […]More…
Category: Algebra
Inequalities – Solving for x
In a previous article, we saw examples of solving inequalities using a number line. In this article we will look at solving Inequalities using Algebra. Below are […]More…
Equation of a Circle – Part II
In part I we saw what the equation of a circle looks like. In this article, we look at a few examples and show you how to […]More…
Equation of a Circle
The equation of a circle you need to know at GCSE level is the simplified version where the center of the circle is at coordinates (0, 0). […]More…
Changing the subject of the formula
If you are given an algebraic formula and asked to make one variable the subject – e.g. make ‘x’ the subject – then you are asked to […]More…
Simultaneous Equations
Solving simulatenous equations can be done in one of 3 ways: by substitution, by elimination and by using graphs. In this article, we will look at solving […]More…
Nth Term of a Quadratic Sequence
This is one method of working out the nth term of a quadratic sequence. Other methods are also possible. Now, just as linear sequence has an nth […]More…
Quadratic Curve – Coordinates of the Turning Point (Part II)
In Part (I), we saw how to work out the coordinates of the turning point on quadratic curve that has solutions – that is the curve crosses […]More…
How To: Determine if 2 linear equations are parallel or perpendicular to each other
Very often students get ask to show whether 2 linear equations are parallel (or perpendicular – they meet at a 90° angle) to each other when drawn […]More…
Collecting Like Terms
Collecting like terms generally means simplifying an algebraic expression having mutliple terms. This means we are grouping ‘like terms’ together and performing whatever operation needs to be […]More…
Algebra – Plotting a linear equation using the slope and y-intercept.
Suppose you are given this equation y = 5x + 1 – how do you then plot this equation on a graph using just the equation – […]More…
Algebra – Distance between 2 points on a Graph
If you have two points on a graph and are asked to find the distance between these two points, then this can easily be done using Pythagoras […]More…
Inequalities using a Number Line
With inequalities, you are solving for a variable where the operator is one of 4 operators. These are: Less than, Less than or equal to, Greater than, […]More…
Simultaneous Equations – using Graphs
Solving simultaneous equations by graphs means plotting the 2 equations and finding the intersection. The x and y coordinates of the point where the 2 lines intersect […]More…
Is my Term in the Sequence
Very often, when workng with sequences, one of the questions you might get asked is whether a number is a term in the sequence you are given. […]More…
Quadratic Curve – Coordinates of the Turning Point (Part I)
Working out the coordinates of the turning point of a quadratic equation is a 3-step process.
Algebra -How To Determine the Equation of a Straight Line
Given a straignt line on a graph, how do you determine the equation for this line? We know that a straight line is of the form y […]More…