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In addition to the revision notes for Word Problems Involving Equations on this page, you can also access the following Equations learning resources for Word Problems Involving Equations
| Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
|---|---|---|---|---|---|---|
| 9.2 | Word Problems Involving Equations |
In these revision notes for Word Problems Involving Equations, we cover the following key points:
We can express wordy problems as equations and vice - versa. The simplest wordy problems are those that are solved through a single step. In general, such problems are short and they contain one or two clues. The resulting equation, therefore, is a first - order equation with one variable, which is the simplest type of equation. It has the general form
where the solution is again x = - b/a.
Other types of word problems involve the use of two or more steps to solve them, although the corresponding equation can still be a first - order equation with one variable, this time having a general form
There are some word problems that are solved only through equations by avoiding the use of steps, otherwise it would take too long to solve them step by step.
Second - order equations with one variable include equations that contain a single variable raised at the second power. The general form of such equations (otherwise known as 'quadratic equations') is
To solve first - order equations with two variables means finding the values of the two variables. However, since there are a lot of possible combinations that can give a true result, we must have some additional info about the relationship between the two variables.
First - order equations with two variables have the general form
where a and b are coefficients, c is a constant, while x and y are the two variables. One cannot solve them without the help of any additional info about the relationship between the two variables.
The inverse procedure is also possible. If we have an equation given, it is possible to create many wordy problems using its components. This is because math is applied everywhere in the real life.
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