Worksheets — Set 19
Trigonometry · Honors · Polar coordinates and complex numbers (intro)
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. (23 + 2i) + (21 − 5i) = ___ 2. (22i)(−3i) = ___ 3. Plot 22 − 3i on the complex plane. ___
_See printable PDF for diagram._
Written practice
1. (22 + 2i) + (20 − 5i) = ___ 2. (21i)(−2i) = ___ 3. Plot 21 − 4i on the complex plane. ___ 4. Multiply: (20 + i)(20 − i) = ___ 5. Solve x² + 23 = 0 in ℂ: x = ___ 6. Real part ___ , imaginary part ___ 7. (25 + 2i) + (23 − 5i) = ___ 8. (24i)(−2i) = ___
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More written practice
1. Plot 24 − 3i on the complex plane. ___ 2. Multiply: (23 + i)(23 − i) = ___ 3. Solve x² + 26 = 0 in ℂ: x = ___ 4. (28 + 2i) + (26 − 5i) = ___ 5. (27i)(−2i) = ___ 6. Plot 27 − 4i on the complex plane. ___
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Patterns and rules
1. (39 + 2i) + (37 − 5i) = ___ 2. (38i)(−1i) = ___ 3. Plot 38 − 3i on the complex plane. ___
_See printable PDF for diagram._
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Stretch
1. (47 + 2i) + (45 − 5i) = ___ 2. (46i)(−3i) = ___
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Parent tip: Combine like terms: real with real, imaginary with imaginary