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'O' level A maths Indices

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  • Moderator
    eagle's Avatar
    17,940 posts since Aug '01
    • On behalf of Ahm97sic

      Example 1

      (a) Find, in its simplest form, the product of a + b and a - a b + b4/3.
      (b) Simplify

      *************************
      Answer:

      (a)




      (b)


      Example 2



      *************************
      Answer:






      Example 3


      *************************
      Answer:

      (a)




      (b)




      (c)


      Example 4

      Solve the following simultaneous equations

      (a)


      (b) Given that y = axb + 10 and that y = 26 when x = 2 and y = 64
      when x = 3, find the value of a and of b.

      *************************

      Answer:

      (a)


      Substitute x = 3 + 2y into (2)
      2(3 + 2y) + 3y = -1
      6 + 4y + 3y = -1
      7y = -7
      y = -1

      Substitute y = -1 into (1)
      x = 3 + 2y
      x = 3 + 2(-1)
      x = 1


      (b)
      y = axb + 10

      Substitute x = 2 and y = 26 into

      y = axb + 10
      26 = a(2)b + 10
      16 = a(2)b ------------------ (1)

      Substitute x = 3 and y = 64 into
      y = axb + 10
      64 = a(3)b + 10
      54 = a(3)b ------------------ (2)

      (2) / (1)



      By comparison, b = 3

      Substitute b = 3 into (1),
      16 = a(2)3
      16 = 8a
      a = 2


      All in ExamWorld as well. Thanks Ahm97sic

      I will do the rest of the examples later.
      Everyone is welcomed to add contributions as well :D
      Edited by eagle 29 Sep `08, 3:28PM
  • SBS n SMRT's Avatar
    1,780 posts since Mar '08
  • Ahm97sic's Avatar
    285 posts since Apr '08
    • Hi Eagle,

      Thanks for the help to post "O" level Add Maths Indices in the forum. I do not know how to type/post the formula and mathematical symbols in the forum.

      Dear Eagle will help to post the 5 patterns in the actual "O" level Add Maths on indices with 5 examples and one example for one pattern. This will be followed by the actual "O" level Add Maths Indices exam questions arranged according to these 5 patterns.

      Hope this will be of help to Add Maths students who will be taking their "O" level exam.

      Many thanks to Eagle for the help.

      Thank you for your kind attention.

      Regards,

      ahm97sic

  • Moderator
    eagle's Avatar
    17,940 posts since Aug '01
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