Worksheets — Set 12

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

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

Warm-up

1. (16 + 2i) + (14 − 5i) = ___ 2. (15i)(−2i) = ___ 3. Plot 15 − 4i on the complex plane. ___

_See printable PDF for diagram._

Written practice

1. (15 + 2i) + (13 − 5i) = ___ 2. (14i)(−1i) = ___ 3. Plot 14 − 3i on the complex plane. ___ 4. Multiply: (13 + i)(13 − i) = ___ 5. Solve x² + 16 = 0 in ℂ: x = ___ 6. Real part ___ , imaginary part ___ 7. (18 + 2i) + (16 − 5i) = ___ 8. (17i)(−1i) = ___

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More written practice

1. Plot 17 − 4i on the complex plane. ___ 2. Multiply: (16 + i)(16 − i) = ___ 3. Solve x² + 19 = 0 in ℂ: x = ___ 4. (21 + 2i) + (19 − 5i) = ___ 5. (20i)(−1i) = ___ 6. Plot 20 − 3i on the complex plane. ___

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Patterns and rules

1. (32 + 2i) + (30 − 5i) = ___ 2. (31i)(−3i) = ___ 3. Plot 31 − 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