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Mathematics

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Quizzes in Mathematics for HSC

Algebra Mathematics

Decompose (x – 13)/((x + 1)(x + 8)) into partial fractions.

  • 1/(x + 1)
  • -2/(x + 1) + 3/(x + 8)
  • -2/(x + 8) – 3/(x + 1)
  • 3/(x + 1) + -2/(x + 8)
Correct answer(s):
  • -2/(x + 1) + 3/(x + 8)
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Algebra Mathematics

Decompose (-4)/((x + 2)(x + 6)) into partial fractions.

  • 1/(x + 2) + -1/(x + 6)
  • -1/(x + 2) + 1/(x + 6)
  • -1/(x + 6) – 1/(x + 2)
  • 0/(x + 2)
Correct answer(s):
  • -1/(x + 2) + 1/(x + 6)
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Algebra Mathematics

Decompose (3*x + 30)/((x + 6)(x + 8)) into partial fractions.

  • 3/(x + 6)
  • -3/(x + 6) + 6/(x + 8)
  • 6/(x + 6) + -3/(x + 8)
  • 6/(x + 8) – -3/(x + 6)
Correct answer(s):
  • 6/(x + 6) + -3/(x + 8)
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Algebra Mathematics

Decompose (x + 8)/((x + 4)(x + 6)) into partial fractions.

  • 1/(x + 4)
  • 2/(x + 6) – -1/(x + 4)
  • -1/(x + 4) + 2/(x + 6)
  • 2/(x + 4) + -1/(x + 6)
Correct answer(s):
  • 2/(x + 4) + -1/(x + 6)
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Algebra Mathematics

Decompose (3*x + 5)/((x + 1)(x + 2)) into partial fractions.

  • 2/(x + 1) + 1/(x + 2)
  • 2/(x + 2) – 1/(x + 1)
  • 1/(x + 1) + 2/(x + 2)
  • 3/(x + 1)
Correct answer(s):
  • 2/(x + 1) + 1/(x + 2)
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Algebra Mathematics

Decompose (5*x + 11)/((x + 2)(x + 3)) into partial fractions.

  • 1/(x + 3) – 4/(x + 2)
  • 5/(x + 2)
  • 1/(x + 2) + 4/(x + 3)
  • 4/(x + 2) + 1/(x + 3)
Correct answer(s):
  • 1/(x + 2) + 4/(x + 3)
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Algebra Mathematics

Decompose (-6*x – 40)/((x + 6)(x + 8)) into partial fractions.

  • -2/(x + 6) + -4/(x + 8)
  • -6/(x + 6)
  • -4/(x + 6) + -2/(x + 8)
  • -2/(x + 8) – -4/(x + 6)
Correct answer(s):
  • -2/(x + 6) + -4/(x + 8)
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Algebra Mathematics

Decompose (4*x + 14)/((x + 2)(x + 8)) into partial fractions.

  • 3/(x + 2) + 1/(x + 8)
  • 1/(x + 8) – 3/(x + 2)
  • 1/(x + 2) + 3/(x + 8)
  • 4/(x + 2)
Correct answer(s):
  • 1/(x + 2) + 3/(x + 8)
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Algebra Mathematics

Decompose (x + 15)/((x + 3)(x + 5)) into partial fractions.

  • -5/(x + 3) + 6/(x + 5)
  • 1/(x + 3)
  • 6/(x + 3) + -5/(x + 5)
  • 6/(x + 5) – -5/(x + 3)
Correct answer(s):
  • 6/(x + 3) + -5/(x + 5)
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Algebra Mathematics

Decompose (-2*x – 6)/((x + 4)(x + 5)) into partial fractions.

  • 2/(x + 4) + -4/(x + 5)
  • -2/(x + 4)
  • 2/(x + 5) – -4/(x + 4)
  • -4/(x + 4) + 2/(x + 5)
Correct answer(s):
  • 2/(x + 4) + -4/(x + 5)
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Algebra Mathematics

Decompose (7*x + 26)/((x + 2)(x + 4)) into partial fractions.

  • 1/(x + 2) + 6/(x + 4)
  • 6/(x + 2) + 1/(x + 4)
  • 6/(x + 4) – 1/(x + 2)
  • 7/(x + 2)
Correct answer(s):
  • 6/(x + 2) + 1/(x + 4)
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Algebra Mathematics

Decompose (7*x + 47)/((x + 5)(x + 8)) into partial fractions.

  • 4/(x + 8) – 3/(x + 5)
  • 7/(x + 5)
  • 3/(x + 5) + 4/(x + 8)
  • 4/(x + 5) + 3/(x + 8)
Correct answer(s):
  • 4/(x + 5) + 3/(x + 8)
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Algebra Mathematics

Decompose (-5*x – 37)/((x + 7)(x + 8)) into partial fractions.

  • -5/(x + 7)
  • -3/(x + 7) + -2/(x + 8)
  • -2/(x + 8) – -3/(x + 7)
  • -2/(x + 7) + -3/(x + 8)
Correct answer(s):
  • -2/(x + 7) + -3/(x + 8)
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Algebra Mathematics

Decompose (2*x + 4)/((x + 5)(x + 7)) into partial fractions.

  • -3/(x + 5) + 5/(x + 7)
  • -3/(x + 7) – 5/(x + 5)
  • 5/(x + 5) + -3/(x + 7)
  • 2/(x + 5)
Correct answer(s):
  • -3/(x + 5) + 5/(x + 7)
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Algebra Mathematics

Decompose (6*x + 42)/((x + 5)(x + 8)) into partial fractions.

  • 6/(x + 5)
  • 2/(x + 5) + 4/(x + 8)
  • 4/(x + 8) – 2/(x + 5)
  • 4/(x + 5) + 2/(x + 8)
Correct answer(s):
  • 4/(x + 5) + 2/(x + 8)
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Algebra Mathematics

Decompose (4*x + 26)/((x + 6)(x + 8)) into partial fractions.

  • 4/(x + 6)
  • 1/(x + 8) – 3/(x + 6)
  • 1/(x + 6) + 3/(x + 8)
  • 3/(x + 6) + 1/(x + 8)
Correct answer(s):
  • 1/(x + 6) + 3/(x + 8)
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Algebra Mathematics

Decompose (-3*x – 20)/((x + 6)(x + 8)) into partial fractions.

  • -3/(x + 6)
  • -2/(x + 6) + -1/(x + 8)
  • -1/(x + 8) – -2/(x + 6)
  • -1/(x + 6) + -2/(x + 8)
Correct answer(s):
  • -1/(x + 6) + -2/(x + 8)
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Algebra Mathematics

Decompose (-2*x)/((x + 2)(x + 6)) into partial fractions.

  • -2/(x + 2)
  • 1/(x + 6) – -3/(x + 2)
  • -3/(x + 2) + 1/(x + 6)
  • 1/(x + 2) + -3/(x + 6)
Correct answer(s):
  • 1/(x + 2) + -3/(x + 6)
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Algebra Mathematics

Decompose (3*x – 4)/((x + 1)(x + 8)) into partial fractions.

  • -1/(x + 8) – 4/(x + 1)
  • 4/(x + 1) + -1/(x + 8)
  • -1/(x + 1) + 4/(x + 8)
  • 3/(x + 1)
Correct answer(s):
  • -1/(x + 1) + 4/(x + 8)
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Algebra Mathematics

Decompose (-8*x – 28)/((x + 1)(x + 6)) into partial fractions.

  • -4/(x + 6) – -4/(x + 1)
  • -8/(x + 1)
  • -4/(x + 1) + -4/(x + 6)
Correct answer(s):
  • -4/(x + 1) + -4/(x + 6)
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