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4MA1/2F Jan 2023, Question 7: Index Laws with Letters

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

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The question, in short

Five short algebra tasks: simplify a repeated product, solve two equations, expand a bracket, and factorise a two-term expression.

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

Part (a) · 1 mark

Write c multiplied by itself five times as a single power.

  1. 1c is multiplied by itself 5 times, so c × c × c × c × c = c⁵

Answerc⁵

Part (b) · 1 mark

Find the value of x that makes 5 plus x equal 12.

  1. 15 + x = 12
  2. 2x = 12 − 5
  3. 3x = 7

Answer7

Part (c) · 1 mark

Find y when y divided by 6 equals 3.

  1. 1y / 6 = 3
  2. 2y = 3 × 6
  3. 3y = 18

Answer18

Part (d) · 1 mark

Multiply out 5(2 + 3h) to remove the brackets.

  1. 15(2 + 3h) = 5×2 + 5×3h
  2. 210 + 15h

Answer10 + 15h

Part (e) · 1 mark

Write g² + 7g as a product of two factors.

  1. 1g² + 7g = g×g + 7×g
  2. 2g(g + 7)

Answerg(g + 7)

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