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OAU Post-UTME Mathematics 2012 Question 6

Question 6

Algebraic Expressions

Make k is the subject of the formula m = 2nk/p + k/(2p)

  1. A.k = 2mp/(2n + 1)
  2. B.k = 2mp/(4n + 1)
  3. C.k = mp/(2n + 1)
  4. D.k = (2n + 1)/(2mp)
Show the answer and explanation

Answer: B (k = 2mp/(4n + 1))

Explanation

Multiply by 2p: 2mp = 4nk + k = k(4n + 1). So k = 2mp/(4n + 1).