Adding, Subtracting and Multiplying Complex Numbers Worksheet with Answer Key

What's on the worksheet

1. Add or subtract, giving each answer in standard form.
2. Multiply, giving each answer in standard form.
   4i(-2 + 3i)(6i)(-4i)(5 + i)(2 + 3i)(-3 + 2i)(4 - 5i)\sqrt{-4}\,\left(3 - \sqrt{-9}\right)
3. Write each square or power in standard form.
   (4 + i)^2(2i - 3)^2\left(\sqrt{3} + i\right)^2(1 - i)^4
4. Each student made one mistake: say what it is and give the correct answer.
5. Find the complex number z that solves the equation and check it.
6. Evaluate a quadratic function at a complex number.
7. Compute products and squares of two given complex numbers, and explain why two results match.
8. Find the real numbers k that make a squared complex number pure imaginary, and more.