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Algebra II

There are three sets of complex numbers worksheets:

Examples, solutions, videos, and worksheets to help Algebra II students learn how to add and subtract complex numbers.

There are two sets of add & subtract complex number worksheets.

Adding and subtracting complex numbers involves combining their real and imaginary parts separately. Complex numbers are in the form a+bi, where a is the real part and b is the imaginary part. Here’s how to add and subtract complex numbers:

**Adding Complex Numbers:**

To add two complex numbers a_{1} + b_{1}i and a_{2} + b_{2}, follow these steps:

- Add the real parts together:

a_{1}+ a_{2} - Add the imaginary parts together:

b_{1}+ b_{2} - Combine the results to form the sum of the complex numbers:
a
_{1}+ a_{2}+ (b_{1}+ b_{2})i

Example:

Add 3 + 2i and 1 - 5i

Real parts: 3 + 1 = 4

Imaginary parts: 2 - 5 = -3

3 + 2i + 1 - 5i = 4 - 3i

**Subtracting Complex Numbers:**

To subtract two complex numbers a_{1} + b_{1}i and a_{2} + b_{2}, follow these steps:

- Subtract the real part of the second complex number from the real part of the first complex number:

a_{1}- a_{2} - Subtract the imaginary part of the second complex number from the imaginary part of the first complex number:
b
_{1}- b_{2} - Combine the results to form the difference of the complex numbers:
a
_{1}- a_{2}+ (b_{1}- b_{2})i

Example:

Subtract 3 + 2i from 1 - 5i

Real parts: 1 - 3 = -2

Imaginary parts: -5 - 2 = -7

1 - 5i - (3 + 2i) = -2 - 7i

Have a look at this video if you need to review how to add and subtract complex numbers.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Add & Subtract Complex Number Worksheets**.

**Printable**

(Answers on the second page.)

Add & Subtract Complex Number Worksheet #1 (cubic equations)

Add & Subtract Complex Number Worksheet #2 (quartic or quintic equations)

**Online**

Powers of i: Positive Exponents

Powers of i: Negative Exponents

Complex Number Addition

Complex Number Subtraction

Complex Number Multiplication

Complex Number Division

Complex Number: Magnitude (Absolute Value)

Distance Between Two Complex Numbers

Midpoint of Two Complex Numbers)

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