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4MA1/2F Jan 2021, Question 7: Order of Operations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 8 marks

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The question, in short

Simplify algebraic expressions, solve a linear equation, find n in a numerical equation, and factorise an expression.

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

Part (a) · 1 mark

Simplify p + p + p + p + p + p.

  1. 1p + p + p + p + p + p = 6p

Answer6p

Part (b) · 1 mark

Simplify 5y² + 6y² − 3y².

  1. 15y² + 6y² − 3y² = (5 + 6 − 3)y² = 8y²

Answer8y²

Part (c) · 1 mark

Simplify e × e × e × e × e.

  1. 1e × e × e × e × e = e⁵

Answere⁵

Part (d) · 1 mark

Simplify 5c × 4d.

  1. 15c × 4d = (5 × 4) × (c × d) = 20cd

Answer20cd

Part (e) · 1 mark

Solve x − 7 = 19.

  1. 1x − 7 = 19
  2. 2x = 19 + 7
  3. 3x = 26

Answer26

Part (f) · 2 marks

Given 18² + 15² − 5³ = 4n, work out the value of n.

  1. 118² = 324
  2. 215² = 225
  3. 35³ = 125
  4. 4324 + 225 − 125 = 424
  5. 5424 = 4n
  6. 6n = 424 ÷ 4
  7. 7n = 106

Answer106

Part (g) · 1 mark

Factorise 9t − 6.

  1. 19t − 6 = 3 × 3t − 3 × 2
  2. 2= 3(3t − 2)

Answer3(3t − 2)

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