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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 rewrite the formula so that one side has the variable and the other side has all of the other terms.

Here are a few examples ranging from simple to more complex ones.

Example 1 – Simple case of making x the subject

Example 2 – Expand brackets before changing the subject of the formula

Example 3 – Variable is in both sides of the formula

Example 4 – Variable is in the denominator

Example 5 – Variable is in both the numerator and the denominator