Imaginary and Complex Numbers Test

Front

What is the value of i^129?

Back

i

Front

Simplify: 2i - 7i + 10

Back

-5i + 10

Front

Calculate: (4 - 2i) - (3 + 6i)

Back

1 - 8i

Front

What does i^2 equal?

Back

-1

Front

Calculate: -4 (13 + 5i)

Back

-52 - 20i

Front

What is the definition of an imaginary number?

Back

A number that can be written as a real number multiplied by the imaginary unit i, where i = √-1.

Front

What is the definition of a complex number?

Back

A number that can be expressed in the form a + bi, where a and b are real numbers.

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate is a - bi.

Front

How do you add two complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

How do you multiply two complex numbers (a + bi)(c + di)?

Back

Use the distributive property: ac + adi + bci + bdi^2, and simplify using i^2 = -1.