Worksheet: Pure Imaginary Numbers

In this worksheet, we will practice evaluating, simplifying, and multiplying pure imaginary numbers and solving equations over the set of pure imaginary numbers.

Q1:

Solve the equation 2𝑥=50.

  • A𝑥=5,𝑥=5
  • B𝑥=5𝑖,𝑥=5𝑖
  • C𝑥=52𝑖,𝑥=52𝑖
  • D𝑥=522𝑖,𝑥=522𝑖
  • E𝑥=52𝑖,𝑥=52𝑖

Q2:

Simplify 17𝑖(5𝑖).

Q3:

Simplify (2𝑖)(2𝑖).

  • A32
  • B32𝑖
  • C4
  • D4𝑖
  • E32𝑖

Q4:

Solve the equation 𝑥=16.

  • A𝑥=8
  • B𝑥=2𝑖,𝑥=2𝑖
  • C𝑥=4𝑖,𝑥=4𝑖
  • D𝑥=𝑖,𝑥=4
  • E𝑥=4,𝑥=4

Q5:

Simplify 61.

  • A61𝑖
  • B61
  • C61𝑖
  • D61𝑖
  • E61

Q6:

Simplify 𝑖.

  • A𝑖
  • B1
  • C𝑖
  • D1

Q7:

Simplify 1𝑖.

  • A1
  • B𝑖
  • C1
  • D𝑖

Q8:

Simplify 10×6.

  • A4
  • B215𝑖
  • C215𝑖
  • D215
  • E215

Q9:

Determine the solution set of 4𝑥+111=75 over the set of complex numbers.

  • A{3𝑖}
  • B{0,3𝑖}
  • C{3𝑖,3𝑖}
  • D{3𝑖}

Q10:

Simplify 𝑖, given that 𝑛.

  • A1
  • B𝑖
  • C1
  • D𝑖

Q11:

Given that 𝑛 is an integer, simplify 𝑖.

  • A1
  • B𝑖
  • C𝑖
  • D1

Q12:

Simplify 𝑖.

  • A1
  • B𝑖
  • C1
  • D𝑖

Q13:

Simplify the expression 𝑖.

  • A1
  • B𝑖
  • C1
  • D𝑖

Q14:

Simplify 1𝑖.

  • A𝑖
  • B1
  • C𝑖
  • D1

Q15:

What is the value of (5𝑖)?

Q16:

Simplify (2𝑖)(2𝑖).

  • A64
  • B4
  • C4
  • D64

Q17:

Simplify (2𝑖)(2𝑖).

  • A64𝑖
  • B64
  • C4𝑖
  • D4
  • E64

Q18:

Simplify 6𝑖(8𝑖).

Q19:

Simplify 1𝑖.

  • A1
  • B𝑖
  • C𝑖
  • D1

Q20:

Simplify 𝑖.

  • A1
  • B𝑖
  • C𝑖
  • D1

Q21:

Find the value of 144.

  • A12𝑖
  • B144𝑖
  • C12
  • D12
  • E12𝑖

Q22:

What is 25?

  • A25𝑖
  • B5𝑖
  • C5
  • D5𝑖
  • E5

Q23:

What is the value of 𝑖?

  • A𝑖
  • B1
  • C𝑖
  • D1

Q24:

What is the value of 𝑖?

Q25:

What is the value of 3𝑖?

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