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4MA1/1F Jun 2018, Question 5: Expand and Simplify

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 6 marks

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The question, in short

Simplify algebraic expressions, multiply terms, and solve two simple equations for p and k.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Combine the like terms 6x, 8x and −3x into a single term.

  1. 16x + 8x = 14x
  2. 214x − 3x = 11x

Answer11x

Part (b) · 1 mark

Multiply the terms 4e and 5f, giving a simplified product.

  1. 14e × 5f = 20ef

Answer20ef

Part (c) · 1 mark

Solve the equation 8p = 24 to find the value of p.

  1. 18p = 24
  2. 2p = 24 ÷ 8
  3. 3p = 3

Answer3

Part (d) · 1 mark

Solve the equation k − 4 = 13 to find the value of k.

  1. 1k − 4 = 13
  2. 2k = 13 + 4
  3. 3k = 17

Answer17

Part (e) · 2 marks

Collect like terms in 10t + 4d − 3t + 2d to simplify.

  1. 110t − 3t = 7t
  2. 24d + 2d = 6d
  3. 37t + 6d

Answer7t + 6d

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