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4MA1/2H Jun 2020, Question 1: Index Laws with Letters

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 6 marks

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The question, in short

Simplify three algebraic expressions using index laws, then solve a linear inequality in x.

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

Part (a) · 1 mark

Simplify g⁶ × g⁴ by combining the powers of g.

  1. 1When multiplying, add the powers
  2. 2g⁶ × g⁴ = g⁶⁺⁴ = g¹⁰

Answerg¹⁰

Part (b) · 1 mark

Simplify k¹⁰ ÷ k³ by subtracting the indices.

  1. 1When dividing, subtract the powers
  2. 2k¹⁰ ÷ k³ = k¹⁰⁻³ = k⁷

Answerk⁷

Part (c) · 2 marks

Simplify (3cd⁴)², squaring both the coefficient and the d term.

  1. 1Square each part: 3² × c² × (d⁴)²
  2. 23² = 9 and (d⁴)² = d⁸ (multiply the powers 4 × 2).
  3. 3Answer: 9c²d⁸

Answer9c²d⁸

Part (d) · 2 marks

Solve 4x + 7 > 2 for x.

  1. 14x + 7 > 2
  2. 24x > 2 − 7
  3. 34x > −5
  4. 4x > −5/4
  5. 5x > −1.25

Answerx > −1.25

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