Complex Numbers Review Quiz

What is the standard form of a complex number?

• a + bi

• a - bi

• a * bi

• a / bi

Simplify the expression: (3 + 2i) + (5 - 4i)

• 2 + 6i

• 10 - 6i

• 8 - 2i

• 7 - 2i

Find the conjugate of the complex number: 4 - 7i

• 4 - 7i

• 4 + 7i

• 4 + 7

• 7 - 4i

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

• 10

• 2i

• 7

• 5

Solve the equation: z^2 + 6z + 13 = 0, where z is a complex number

• -3 + 2i, -3 - 2i

• 5 + 4i, 5 - 4i

• 7 + 8i, 7 - 8i

• 2 + 3i, 2 - 3i

Express the complex number -2i in polar form

• 2∠180°

• 2∠270°

• -2∠90°

• -2∠180°

What is the product of the complex numbers (2 + 3i) and (1 - 2i)?

• 3 + 4i

• -4 + 7i

• 5 - 6i

• 10 - 5i

Find the real and imaginary parts of the complex number (4 - 2i)^2

• Real part: 8, Imaginary part: -4

• Real part: 12, Imaginary part: -16

• Real part: 2, Imaginary part: -1

• Real part: 16, Imaginary part: -8

Solve the equation: z^3 = 8, where z is a complex number

• z = 2, -1 + i√3, -1 - i√3

• z = 1 + i√3

• z = 4

• z = -2

What is the argument of the complex number -1 - √3i?

• 180 degrees

• 45 degrees

• -60 degrees

• 120 degrees