Maths for science and technology

by The Open University

Available in 16 free installments

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Solving equations using algebraic techniques

In mathematics, equations are used a great deal in arriving at a solution to a problem. In this section, we wish to refresh your memory of how you can solve an equation using algebraic techniques. We have assumed that you have a prior knowledge of algebra and need reintroducing to it, rather than starting from scratch.

This section is in five parts.

A Why use algebra?

This is a brief explanation of why algebraic techniques are useful.

B Simplifying algebraic expressions

You should always try to simplify expressions and equations as much as possible, to make them easier to use.

C Changing the subject of an equation

This section shows you how to express some algebraic equations in terms of the others.

D Solving equations, given a formula

This section shows you how to find the solution where there is one unknown, using algebra.

E Simultaneous equations

This section shows you how to find the solutions where you have pairs of equations, each with the same two unknowns.

In each of parts B to E, we will outline the techniques, talk you through an example, and then give you some exercises in activities to do for yourself. Answers to the activities are together at the end of this section.

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