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0580/12 Oct/Nov 2022, Question 16: Expand and Simplify

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 6 marks

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The question, in short

Three short algebra tasks: expand a product, factorise an expression fully, and solve a linear equation.

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

Part (a) · 2 marks

Expand x(x + 8).

  1. 1x × x + x × 8 = x² + 8x

Answerx² + 8x

Part (b) · 2 marks

Factorise 6a − 3ab completely.

  1. 1The highest common factor of 6a and 3ab is 3a.
  2. 26a ÷ 3a = 2 and 3ab ÷ 3a = b
  3. 3So 6a − 3ab = 3a(2 − b)

Answer3a(2 − b)

Part (c) · 2 marks

Solve 5x − 6 = x + 3 for x.

  1. 15x − x = 3 + 6
  2. 24x = 9
  3. 3x = 2.25

Answer2.25 or 2 1/4

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Also searched as: 0580/12/O/N/22 · 0580_w22_qp_12 · 0580 w22 12 · question 16.
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