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0580/31 Oct/Nov 2024, Question 10: Solving Linear Equations

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 9 marks

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The question, in short

Solve a linear equation, simplify two index expressions, and expand and simplify two algebraic expressions.

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

Part (a) · 2 marks

Solve 4x − 7 = 3 for x.

  1. 14x = 3 + 7
  2. 24x = 10
  3. 3x = 2.5

Answer2.5

Part (bi) · 1 mark

Simplify (x⁶)².

  1. 1(x⁶)² = x⁶ˣ²
  2. 2= x¹²

Answerx¹²

Part (bii) · 2 marks

Simplify the product (5x³y⁴) × (2x²y²).

  1. 15 × 2 = 10
  2. 2x³ × x² = x⁵, y⁴ × y² = y⁶
  3. 3= 10x⁵y⁶

Answer10x⁵y⁶

Part (ci) · 2 marks

Expand and simplify 4a + 5 − 2(a − 1).

  1. 1−2(a − 1) = −2a + 2
  2. 24a + 5 − 2a + 2
  3. 3= 2a + 7

Answer2a + 7

Part (cii) · 2 marks

Expand and simplify (d + 7)(d − 3).

  1. 1(d + 7)(d − 3) = d² − 3d + 7d − 21
  2. 2= d² + 4d − 21

Answerd² + 4d − 21

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

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Also searched as: 0580/31/O/N/24 · 0580_w24_qp_31 · 0580 w24 31 · question 10.
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