Worksheets — Set 16

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

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

Warm-up

1. (20 + 2i) + (18 − 5i) = ___ 2. (19i)(−3i) = ___ 3. Plot 19 − 4i on the complex plane. ___

_See printable PDF for diagram._

Written practice

1. (19 + 2i) + (17 − 5i) = ___ 2. (18i)(−2i) = ___ 3. Plot 18 − 3i on the complex plane. ___ 4. Multiply: (17 + i)(17 − i) = ___ 5. Solve x² + 20 = 0 in ℂ: x = ___ 6. Real part ___ , imaginary part ___ 7. (22 + 2i) + (20 − 5i) = ___ 8. (21i)(−2i) = ___

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More written practice

1. Plot 21 − 4i on the complex plane. ___ 2. Multiply: (20 + i)(20 − i) = ___ 3. Solve x² + 23 = 0 in ℂ: x = ___ 4. (25 + 2i) + (23 − 5i) = ___ 5. (24i)(−2i) = ___ 6. Plot 24 − 3i on the complex plane. ___

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Patterns and rules

1. (36 + 2i) + (34 − 5i) = ___ 2. (35i)(−1i) = ___ 3. Plot 35 − 4i on the complex plane. ___

_See printable PDF for diagram._

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Stretch

1. (44 + 2i) + (42 − 5i) = ___ 2. (43i)(−3i) = ___

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