Worksheets — Set 20
Trigonometry · Honors · Polar coordinates and complex numbers (intro)
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. (24 + 2i) + (22 − 5i) = ___ 2. (23i)(−1i) = ___ 3. Plot 23 − 4i on the complex plane. ___
_See printable PDF for diagram._
Written practice
1. (23 + 2i) + (21 − 5i) = ___ 2. (22i)(−3i) = ___ 3. Plot 22 − 3i on the complex plane. ___ 4. Multiply: (21 + i)(21 − i) = ___ 5. Solve x² + 24 = 0 in ℂ: x = ___ 6. Real part ___ , imaginary part ___ 7. (26 + 2i) + (24 − 5i) = ___ 8. (25i)(−3i) = ___
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More written practice
1. Plot 25 − 4i on the complex plane. ___ 2. Multiply: (24 + i)(24 − i) = ___ 3. Solve x² + 27 = 0 in ℂ: x = ___ 4. (29 + 2i) + (27 − 5i) = ___ 5. (28i)(−3i) = ___ 6. Plot 28 − 3i on the complex plane. ___
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Patterns and rules
1. (40 + 2i) + (38 − 5i) = ___ 2. (39i)(−2i) = ___ 3. Plot 39 − 4i on the complex plane. ___
_See printable PDF for diagram._
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Stretch
1. (48 + 2i) + (46 − 5i) = ___ 2. (47i)(−1i) = ___
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Parent tip: Combine like terms: real with real, imaginary with imaginary