Topic

Advanced Algebra

Practice related MCQ quizzes and improve step by step.

Quizzes in Advanced Algebra

Add the matrices [[-3, 7], [2, 0]] and [[6, -2], [1, 2]].

  • [[3, 3], [5, 2]]
  • [[-9, 9], [1, -2]]
  • [[3, 5], [3, 2]]
  • [[-18, -14], [2, 0]]
Correct answer(s):
    • [[3, 5], [3, 2]]

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

  • x = 6, y = -5
  • x = -2, y = 9
  • x = -4, y = 5
  • x = -5, y = 4
  • x = 5, y = -4
Correct answer(s):
    • x = 5, y = -4

Add the matrices [[5, -3], [8, 6]] and [[1, 4], [-5, 5]].

  • [[6, 1], [3, 11]]
  • [[5, -12], [-40, 30]]
  • [[6, 3], [1, 11]]
  • [[4, -7], [13, 1]]
Correct answer(s):
    • [[6, 1], [3, 11]]

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]]

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 = 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

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

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]]

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

Solve the system: 2x + 3y = -4 and 1x – 2y = -9.

  • x = 5, y = -2
  • x = 2, y = -5
  • x = -4, y = -9
  • x = -4, y = 1
  • x = -5, y = 2
Correct answer(s):
    • x = -5, y = 2

Solve the system: 2x + 3y = 17 and 2x – 3y = 11.

  • x = 8, y = 0
  • x = 1, y = 7
  • x = 17, y = 11
  • x = -7, y = -1
  • x = 7, y = 1
Correct answer(s):
    • x = 7, y = 1

Solve the system: 3x + 1y = 8 and 3x – 2y = 11.

  • x = -1, y = 3
  • x = 8, y = 11
  • x = 4, y = -2
  • x = -3, y = 1
  • x = 3, y = -1
Correct answer(s):
    • x = 3, y = -1

Add the matrices [[-2, 0], [-4, 5]] and [[-1, 3], [1, 4]].

  • [[2, 0], [-4, 20]]
  • [[-3, -3], [3, 9]]
  • [[-3, 3], [-3, 9]]
  • [[-1, -3], [-5, 1]]
Correct answer(s):
    • [[-3, 3], [-3, 9]]

Solve the system: 2x + 3y = 12 and 1x – 1y = -4.

  • x = 12, y = -4
  • x = 4, y = 0
  • x = 1, y = 3
  • x = 0, y = 4
  • x = 0, y = -4
Correct answer(s):
    • x = 0, y = 4

Add the matrices [[7, 5], [1, -3]] and [[5, 3], [5, 7]].

  • [[2, 2], [-4, -10]]
  • [[12, 8], [6, 4]]
  • [[12, 6], [8, 4]]
  • [[35, 15], [5, -21]]
Correct answer(s):
    • [[12, 8], [6, 4]]

Solve the system: 1x + 2y = 11 and 2x – 1y = -3.

  • x = 1, y = 5
  • x = 11, y = -3
  • x = -1, y = -5
  • x = 5, y = 1
  • x = 2, y = 4
Correct answer(s):
    • x = 1, y = 5

Solve the system: 1x + 2y = -5 and 2x – 1y = 0.

  • x = 1, y = 2
  • x = -2, y = -1
  • x = 0, y = -3
  • x = -5, y = 0
  • x = -1, y = -2
Correct answer(s):
    • x = -1, y = -2