Lesson Worksheet: Complex Number Conjugates Mathematics

In this worksheet, we will practice using the properties of conjugate numbers to evaluate an expression.

Q1:

Find the complex conjugate of 7𝑖 and the sum of this number with its complex conjugate.

  • A7+𝑖, 14𝑖
  • B7𝑖, 2𝑖
  • C7+𝑖, 0
  • D7+𝑖, 14

Q2:

What is the conjugate of the complex number 4+3𝑖?

  • A3+4𝑖
  • B43𝑖
  • C4+3𝑖
  • D43𝑖
  • E34𝑖

Q3:

What is the conjugate of the complex number 27𝑖?

  • A7+2𝑖
  • B7+2𝑖
  • C27𝑖
  • D2+7𝑖
  • E2+7𝑖

Q4:

How do you find the conjugate of a complex number?

  • AChange the sign of both the real and imaginary parts.
  • BSwap the real and imaginary parts.
  • CChange the sign of its imaginary part.
  • DSwap the real and imaginary parts, then change the sign of them both.
  • EChange the sign of its real part.

Q5:

Is 9 the complex conjugate of the number 9?

  • ANo
  • BYes

Q6:

If 𝑧=8𝑖,what is 𝑧?

  • A8𝑖
  • B𝑖8
  • C8
  • D8𝑖
  • E8

Q7:

Is 8𝑖+10 the complex conjugate of the number 8𝑖+10?

  • ANo
  • BYes

Q8:

Is the sum of a number and its complex conjugate always a real number?

  • AYes
  • BNo

Q9:

Is the product of a number and its complex conjugate always a real number?

  • AYes
  • BNo

Q10:

If 𝑧 is a real number, what will its conjugate be equal to?

  • A𝑧𝑖
  • B𝑧
  • C𝑧
  • D𝑧𝑖

This lesson includes 20 additional questions and 81 additional question variations for subscribers.

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