Subject

Advanced Mathematics

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Quizzes in Advanced Mathematics

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}

Solve the system: 3x + 1y = 18 and 1x – 2y = 6.

  • x = 0, y = 6
  • x = 18, y = 6
  • x = 7, y = -1
  • x = 6, y = 0
  • x = -6, y = 0
Correct answer(s):
    • x = 6, y = 0

In a class of 53 students, 15 study only Algebra, 16 study only Geometry, and 6 study both. How many study Algebra or Geometry?

  • 31
  • 43
  • 6
  • 37
  • 53
Correct answer(s):
    • 37

Multiply the matrix [[-4, 6], [7, 1]] by 3.

  • [[-1, 9], [10, 4]]
  • [[-12, 18], [21, 3]]
  • [[-4, 18], [21, 1]]
Correct answer(s):
    • [[-12, 18], [21, 3]]