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Quiz Chapter 3: Algebraic Formulae

10 questions · Form 2 Mathematics Bab 3: Algebraic Formulae

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Make k the subject of the formula p = 2k + 1k - 3.

  1. k = 3p + 1p - 2
  2. k = 3p - 1p + 2
  3. k = p + 32p - 1
  4. k = 3p + 12 - p
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Answer: A

p(k - 3) = 2k + 1 => pk - 3p = 2k + 1 => pk - 2k = 3p + 1 => k(p - 2) = 3p + 1 => k = 3p + 1p - 2.

2. 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.

3. If P = 2(l + w), find P when l = 8 and w = 5.

  1. 13
  2. 40
  3. 26
  4. 18
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Answer: C

P = 2(8 + 5) = 2(13) = 26.

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. A car travels d kilometers in t hours at a speed of s km/h. What is the formula for t?

  1. t = sd
  2. t = ds
  3. t = ds
  4. t = d - s
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Answer: B

Speed = Distance / Time (s = dt) => t = ds.

6. 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).

7. 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.

8. Make m the subject of the formula y = mx + c.

  1. m = y - cx
  2. m = y - cx
  3. m = y + cx
  4. m = yx + c
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Answer: A

y - c = mx => m = y - cx.

9. The sum of three consecutive integers is S = n + (n + 1) + (n + 2). Express n in terms of S.

  1. n = S - 33
  2. n = S3 - 1
  3. n = S + 33
  4. n = S - 3
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Answer: A

S = 3n + 3 => 3n = S - 3 => n = S - 33.

10. 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.

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