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4MA1/2H Jun 2018, Question 1: Rearranging Formulas

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 6 marks

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The question, in short

Three short algebra tasks: rearrange M = ac − bd for a, solve 5x − 4 < 39, and fully factorise 18e²f³ − 12e³f.

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Part (a) · 2 marks

Rearrange the formula M = ac − bd so that a is the subject.

  1. 1M = ac − bd
  2. 2ac = M + bd
  3. 3a = (M + bd)/c

Answer(M + bd)/c

Part (b) · 2 marks

Solve the inequality 5x − 4 < 39 for x.

  1. 15x − 4 < 39
  2. 25x < 39 + 4
  3. 35x < 43
  4. 4x < 43/5
  5. 5x < 8.6

Answerx < 8.6

Part (c) · 2 marks

Factorise 18e²f³ − 12e³f completely.

  1. 1HCF of 18 and 12 is 6; lowest powers are e² and f.
  2. 2So the common factor is 6e²f.
  3. 318e²f³ ÷ 6e²f = 3f² and 12e³f ÷ 6e²f = 2e
  4. 4Answer: 6e²f(3f² − 2e)

Answer6e²f(3f² − 2e)

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