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Evaluating and rearranging a rational formula

Evaluating and rearranging a rational formula

Secondary 2
5 marks
TGM Original Questions

The variables \(p\) and \(r\) are related by \(p=\dfrac{3r+2}{4r-1}\), where \(r\ne\dfrac14\).

  1. Calculate \(p\) when \(r=\dfrac12\).[2]
  2. Make \(r\) the subject of the formula, stating the value of \(p\) that must be excluded.[3]

Solution:

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Answer:(a) \(p=\dfrac72\). (b) \(r=\dfrac{p+2}{4p-3}\), where \(p\ne\dfrac34\); the original formula requires \(r\ne\dfrac14\).

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