Maths for science and technology

by The Open University

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D Solving simple equations with one unknown

Now we wish to move on to equations where you can find a solution. The work that you have done so far on simplifying and rearranging equations will be used here.

Example 3

Consider the equation 4x = 24. We call x the unknown and we want to find the value of x which makes the statement 4x = 24 true.

Discussion

You may be able to see this straight away, but if not, divide both sides of the equation by 4, to get an answer for x.

The solution is, therefore, x = 6.

You can check the accuracy of your answer by substituting back into the original equation 4 × 6 = 24.

Activity 9

Now solve the following equations for x.

Answer

Discussion

We would now like you to do some slightly more complex equations, which involve rearrangements and multiplying out of brackets.

Activity 10

Now solve the following equations for x.

Answer

Discussion

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