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4MA1/2F Jan 2021, Question 19: Expand and Simplify

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 7 marks

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The question, in short

Expand and simplify a product difference of two x-terms, find n from an index equation, solve a linear inequality in t, and show its solution on a number line.

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

Part (a) · 2 marks

Expand and simplify 4x(2x + 5) − 3x(2x − 3).

  1. 14x(2x + 5) = 8x² + 20x
  2. 2−3x(2x − 3) = −6x² + 9x
  3. 38x² + 20x − 6x² + 9x
  4. 42x² + 29x

Answer2x² + 29x

Part (b) · 2 marks

Given (y⁵ × yⁿ) ÷ y⁶ = y¹³, work out the value of n.

  1. 1y⁵ × yⁿ ÷ y⁶ = y¹³
  2. 2y^(5 + n − 6) = y¹³
  3. 35 + n − 6 = 13
  4. 4n − 1 = 13
  5. 5n = 14

Answer14

Part (ci) · 2 marks

Solve the inequality 7t − 8 < 2t + 7.

  1. 17t − 8 < 2t + 7
  2. 27t − 2t < 7 + 8
  3. 35t < 15
  4. 4t < 3

Answert < 3

Part (cii) · 1 mark

On the number line from −5 to 5, represent the solution set t < 3.

  1. 1draw open circle at 3
  2. 2draw line extending to the left from 3

Answeropen circle at t = 3 and a line with an arrow to the left

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