Complex Numbers

15 Questions | Attempts: 164
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Complex Numbers - Quiz

Apply your knowledge about complex numbers. You may use your notes sheet as a resource. Each problem is worth 2 points. Write answers in STANDARD FORM where applicable.


Questions and Answers
  • 1. 

    I2 = ___ 

    • A.

      1

    • B.

      -1

    • C.

      -(-1)

    • D.

      Sqrt(-1)

    Correct Answer
    B. -1
  • 2. 

    (3 + 2i) + (9 - 7i)

    • A.

      -5i + 12

    • B.

      12 + 9i

    • C.

      12 - 5i

    • D.

      9i + 12

    Correct Answer
    C. 12 - 5i
  • 3. 

    (7 - 8i) - (12 + 7i)

    Correct Answer
    -5-15i
    -5 - 15i
  • 4. 

    Solve for x.x2 + 49 = 0

    • A.

      7

    • B.

      -7

    • C.

      7, -7

    • D.

      7i, -7i

    • E.

      Sqrt(-7)

    Correct Answer
    D. 7i, -7i
  • 5. 

    (-6 - 5i)(1 + 3i)

    Correct Answer
    9 - 23i
    9-23i
  • 6. 

    (9 + 4i)2

    Correct Answer
    65 + 72i
    65+72i
  • 7. 

    5 / (5 - 10i)

    • A.

      (1/5) - (2i/5)

    • B.

      (25 - 50i)

    • C.

      3/5

    • D.

      (1 - 2i)

    Correct Answer
    A. (1/5) - (2i/5)
  • 8. 

    In the expression 3 + 8i, 8i is the ____________ part.

    • A.

      Real

    • B.

      Imaginary

    • C.

      Fake

    Correct Answer
    B. Imaginary
  • 9. 

    Which of the following is an example of a pure imaginary number?

    • A.

      -8

    • B.

      1 + 8i

    • C.

      I / 8

    • D.

      12,876,215 + sqrt(-1)

    Correct Answer
    C. I / 8
  • 10. 

    |3 + 4i|

    Correct Answer
    5
  • 11. 

    |16i|

    Correct Answer
    16
  • 12. 

    (4 - 2i)(6 + 6i)

    Correct Answer
    36+12i
    36 + 12i
  • 13. 

    Write the complex conjugate of ( 5 + 123i)

    Correct Answer
    5-123i
    5 - 123i
  • 14. 

    Solve for x.3x2 + 1 = x2 - 1

    • A.

      1, -1

    • B.

      I

    • C.

      I, -i

    • D.

      -1

    Correct Answer
    C. I, -i
  • 15. 

    Sqrt(-169)

    Correct Answer
    13i

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 10, 2013
    Quiz Edited by
    ProProfs Editorial Team
  • Mar 09, 2010
    Quiz Created by
    Dhack

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