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Quiz Chapter 3: Algebraic Formulae

10 questions · Form 2 Mathematics Bab 3: Algebraic Formulae

Question 1 of 10Score: 0

Given 3p + 2q = 12, express q in terms of p.

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1. Given 3p + 2q = 12, express q in terms of p.

  1. q = 12 - 3p2
  2. q = 3p - 122
  3. q = 6 - 3p
  4. q = 12 - 3p
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Answer: A

2q = 12 - 3p => q = 12 - 3p2.

2. Given K = 12 mv², find v when K = 100 and m = 8.

  1. 5
  2. 10
  3. 25
  4. 12.5
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Answer: A

100 = 12 (8)v² => 100 = 4v² => v² = 25 => v = 5.

3. Change the subject of the formula A = πr² to r.

  1. r = √(Aπ)
  2. r = A² / π
  3. r = √(Aπ)
  4. r = Aπ²
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Answer: A

r² = Aπ => r = √(Aπ).

4. A taxi charges a base fare of RM 5 and RM 2 per kilometer (k). Write a formula for the total cost, C.

  1. C = 5k + 2
  2. C = 2k + 5
  3. C = 7k
  4. C = 10k
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Answer: B

Total cost = Base fare + (Rate per km × distance) => C = 5 + 2k = 2k + 5.

5. Express t as the subject of the formula T = 3√t + 1.

  1. t = (T - 1)³
  2. t = T³ - 1
  3. t = (T + 1)³
  4. t = 3√(T - 1)
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Answer: A

T - 1 = 3√t => Cube both sides: t = (T - 1)³.

6. Express a as the subject of the formula s = ut + 12 at².

  1. a = 2s - utt²
  2. a = s - ut2t²
  3. a = 2su + t²
  4. a = 2s - utt²
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Answer: A

s - ut = 12 at² => 2(s - ut) = at² => a = 2s - utt².

7. If V = 43 πr³, find V when r = 3 cm. (Take π = 227)

  1. 113.14
  2. 36
  3. 113 17
  4. 113.04
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Answer: C

V = 43 × 227 × 3³ = 43 × 227 × 27 = 36 × 227 = 7927 = 113 17.

8. Express x as the subject of the formula y = √(2x - 1).

  1. x = y² + 12
  2. x = y² - 12
  3. x = y² + 1
  4. x = 2y² + 1
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Answer: A

y² = 2x - 1 => 2x = y² + 1 => x = y² + 12.

9. Express x as the subject of the formula y = 2x - 5.

  1. x = y + 52
  2. x = y - 52
  3. x = 2y + 5
  4. x = (y2) + 5
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Answer: A

y + 5 = 2x => x = y + 52.

10. Make b the subject of the formula a = √(b3).

  1. b = 3a²
  2. b = a² / 3
  3. b = √(3a)
  4. b = 9a²
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Answer: A

Square both sides: a² = b3 => b = 3a².

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