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0580/41 Oct/Nov 2023, Question 2: Solving Linear Equations

Cambridge IGCSE Mathematics 0580 · Paper 41 (Extended) · Calculator · 12 marks

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The question, in short

Work through five algebra tasks: evaluate a formula, solve an equation, expand and simplify, rearrange for c, and factorise fully.

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

Part (a) · 2 marks

Using s = 1/2 at², work out s given a = 9.8 and t = 20.

  1. 1s = 1/2 × 9.8 × 20²
  2. 2= 1/2 × 9.8 × 400 = 1960

Answer1960

Part (b) · 3 marks

Find the value of y that satisfies 5(4y − 3) = 15.

  1. 120y − 15 = 15
  2. 220y = 30
  3. 3y = 1.5

Answer1.5 or 1 1/2 or 3/2

Part (c) · 2 marks

Multiply out and collect terms in 3(5x − 8) − 2(3x − 7).

  1. 115x − 24 − 6x + 14
  2. 2= 9x − 10

Answer9x − 10

Part (d) · 3 marks

Rewrite A = 2b² − 3c³ so that c is expressed in terms of A and b.

  1. 13c³ = 2b² − A
  2. 2c³ = (2b² − A)/3
  3. 3c = ∛((2b² − A)/3)

Answer∛((2b² − A)/3)

Part (e) · 2 marks

Write 6pq − 4q − 3p + 2 as a product of factors with nothing further removable.

  1. 12q(3p − 2) − 1(3p − 2)
  2. 2= (2q − 1)(3p − 2)

Answer(2q − 1)(3p − 2) or (1 − 2q)(2 − 3p)

Stuck on a step? Read the free lesson: Solving Linear Equations

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Also searched as: 0580/41/O/N/23 · 0580_w23_qp_41 · 0580 w23 41 · question 2.
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