Changing the subject of formulae

Changing the subject of formulae

Secondary 2
TGM Original Questions

Make the variable in brackets the subject of the formula in each of the following cases.

  1. \(5-gh=w-3kh\) [\(h\)]
  2. \(F=\frac{k(y-c)}d\) [\(y\)]
  3. \((p+q)(3r+q)=4r-2\) [\(r\)]
  4. \(T=\frac13\sqrt{\frac3{2g+x}}\) [\(g\)]
  5. \(V=\frac{h^2+k^2}{3h}\) [\(k\)]
  6. \(x=\sqrt{\frac{3s-a}{s-b}}\) [\(s\)]

Solution:

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Answer:(a) \(h=\frac{w-5}{3k-g}\); (b) \(y=c+\frac{Fd}{k}\); (c) \(r=-\frac{q(p+q)+2}{3(p+q)-4}\); (d) \(g=\frac1{6T^2}-\frac{x}{2}\); (e) \(k=\pm\sqrt{3hV-h^2}\); (f) \(s=\frac{x^2b-a}{x^2-3}\).

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