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1 markSubstitution in Algebraic Expressions

CSEC Mathematics · May/June 2014 · Paper 2 · Question 2(c)(ii)

John drew the diagram below to show what he was thinking. (Diagram shows Input x -> Multiply by 3 -> Add 5 -> Output y)

If the number 4 is the input, what number would be the output?

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Other parts of this question

  1. 2(a)x - 2 / 3 + x + 1 / 4[3 marks]
  2. 2(b)(i)When 4 is added to a certain number the result is the same as halving the number and adding 10.[1 mark]
  3. 2(b)(ii)Squaring a number and subtracting 6 gives the same result as doubling the number and adding 9.[1 mark]
  4. 2(c)(i)Use information from the diagram to write a formula for y in terms of x.[1 mark]
  5. 2(c)(iii)If the number 8 was the output, what number was the input?[1 mark]
  6. 2(c)(iv)Reverse the formula written at (c) (i) above to write x in terms of y.[1 mark]
  7. 2(d)2x + 3y = 9; 3x - y = 8[3 marks]

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