Worksheets — Set 6

Trigonometry · Honors · Polar coordinates and complex numbers (intro)

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. (10 + 2i) + (8 − 5i) = ___ 2. (9i)(−2i) = ___ 3. Plot 9 − 4i on the complex plane. ___

_See printable PDF for diagram._

Written practice

1. (9 + 2i) + (7 − 5i) = ___ 2. (8i)(−1i) = ___ 3. Plot 8 − 3i on the complex plane. ___ 4. Multiply: (7 + i)(7 − i) = ___ 5. Solve x² + 10 = 0 in ℂ: x = ___ 6. Real part ___ , imaginary part ___ 7. (12 + 2i) + (10 − 5i) = ___ 8. (11i)(−1i) = ___

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More written practice

1. Plot 11 − 4i on the complex plane. ___ 2. Multiply: (10 + i)(10 − i) = ___ 3. Solve x² + 13 = 0 in ℂ: x = ___ 4. (15 + 2i) + (13 − 5i) = ___ 5. (14i)(−1i) = ___ 6. Plot 14 − 3i on the complex plane. ___

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Patterns and rules

1. (26 + 2i) + (24 − 5i) = ___ 2. (25i)(−3i) = ___ 3. Plot 25 − 4i on the complex plane. ___

_See printable PDF for diagram._

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Parent tip: Combine like terms: real with real, imaginary with imaginary