Subject

Advanced Mathematics

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Quizzes in Advanced Mathematics

Multiply the matrix [[5, 1], [0, -5]] by -2.

  • [[5, -2], [0, -5]]
  • [[-10, -2], [0, 10]]
  • [[3, -1], [-2, -7]]
Correct answer(s):
    • [[-10, -2], [0, 10]]

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {3, 4, 7, 8, 9}, what is A′?

  • {1, 2, 5, 6, 10, 11, 12}
  • {3, 4, 7, 8, 9}
  • {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
  • {}
Correct answer(s):
    • {1, 2, 5, 6, 10, 11, 12}

In a class of 45 students, 10 study only Algebra, 15 study only Geometry, and 12 study both. How many study Algebra or Geometry?

  • 37
  • 25
  • 12
  • 45
  • 49
Correct answer(s):
    • 37

In a class of 39 students, 18 study only Algebra, 7 study only Geometry, and 8 study both. How many study Algebra or Geometry?

  • 8
  • 25
  • 41
  • 33
  • 39
Correct answer(s):
    • 33

Solve the system: 1x + 2y = 9 and 2x – 3y = -31.

  • x = 7, y = -5
  • x = 9, y = -31
  • x = -5, y = 7
  • x = 5, y = -7
  • x = -4, y = 6
Correct answer(s):
    • x = -5, y = 7

Solve the system: 2x + 3y = 10 and 2x – 1y = -6.

  • x = 4, y = -1
  • x = 10, y = -6
  • x = 1, y = -4
  • x = -1, y = 4
  • x = 0, y = 3
Correct answer(s):
    • x = -1, y = 4

Factorize: x² + 14x + 45.

  • x(x + 14) + 45
  • (x + 9)(x + 5)
  • (x + 14)(x + 45)
  • (x + 9)(x – 5)
  • (x – 9)(x – 5)
Correct answer(s):
    • (x + 9)(x + 5)

Solve the system: 2x + 3y = 11 and 2x – 3y = -31.

  • x = 7, y = -5
  • x = 11, y = -31
  • x = -5, y = 7
  • x = 5, y = -7
  • x = -4, y = 6
Correct answer(s):
    • x = -5, y = 7

A fair 5-section spinner and a fair 2-section spinner are spun once. What is the probability of getting one chosen section on each spinner?

  • 1/10
  • 1/7
  • 5/2
  • 2/10
Correct answer(s):
    • 1/10

Let A = {5, 9, 11, 12, 15, 16} and B = {4, 5, 9, 12, 16}. What is A ∩ B?

  • {11, 15}
  • {}
  • {4, 5, 9, 11, 12, 15, 16}
  • {5, 9, 12, 16}
Correct answer(s):
    • {5, 9, 12, 16}