Imaginary Numbers Worksheet

Imaginary Numbers: Grade 11

Read each question carefully and provide the best answer. Show all your work for full credit.

1. The imaginary unit 'i' is defined as the square root of  .

2. A complex number is typically written in the form a + bi, where 'a' is the   part and 'b' is the imaginary part.

3. The product of i and -i is  .

1. Which of the following is equivalent to i^3?

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

1. Simplify the following expression: (2 + 3i) + (4 - i)

2. Simplify the following expression: (5 - 2i) - (1 + 6i)

3. Simplify the following expression: (3i)( -4i)

1. The square of any imaginary number is always a negative real number.

2. All real numbers are also complex numbers.

1. Find the value of x and y that satisfy the equation: (x + yi) + (3 - 2i) = 7 + 5i

2. Multiply the complex numbers: (2 + i)(3 - 2i)