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4024/22 May/Jun 2021, Question 3: Expand and Simplify

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 8 marks

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The question, in short

Simplify an algebraic expression, solve an equation for m, rearrange a formula to make t the subject, and expand a product involving y.

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

Part (a) · 2 marks

Simplify 4a − b + 6b − 7a by collecting like terms.

  1. 14a − 7a = −3a and −b + 6b = 5b
  2. 2= 5b − 3a

Answer5b − 3a

Part (b) · 2 marks

Solve m/2 − 4 = 5 to find the value of m.

  1. 1m/2 = 5 + 4 = 9
  2. 2m = 18

Answer18

Part (c) · 2 marks

Rearrange u = (t + 4)/3 so that t is the subject.

  1. 13u = t + 4
  2. 2t = 3u − 4

Answer3u − 4 or 3(u − 4/3)

Part (d) · 2 marks

Expand 3y(2y² + 5) by multiplying out the bracket.

  1. 13y × 2y² + 3y × 5
  2. 2= 6y³ + 15y

Answer6y³ + 15y

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Also searched as: 4024/22/M/J/21 · 4024_s21_qp_22 · 4024 s21 22 · question 3.
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