# Add & Subtract Complex Number Worksheets

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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.

### How to Add & 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:

To add two complex numbers a1 + b1i and a2 + b2, follow these steps:

1. Add the real parts together:
a1 + a2
2. Add the imaginary parts together:
b1 + b2
3. Combine the results to form the sum of the complex numbers: a1 + a2 + (b1 + b2)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 a1 + b1i and a2 + b2, follow these steps:

1. Subtract the real part of the second complex number from the real part of the first complex number:
a1 - a2
2. Subtract the imaginary part of the second complex number from the imaginary part of the first complex number: b1 - b2
3. Combine the results to form the difference of the complex numbers: a1 - a2 + (b1 - b2)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.
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### 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)

More Printable Worksheets

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