Worksheets — Set 10

Algebra II · Honors · Complex numbers (intro)

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

Warm-up

1. (14 + 2i) + (12 − 5i) = ___ 2. (13i)(−3i) = ___ 3. Plot 13 − 4i on the complex plane. ___

_See printable PDF for diagram._

Written practice

1. (13 + 2i) + (11 − 5i) = ___ 2. (12i)(−2i) = ___ 3. Plot 12 − 3i on the complex plane. ___ 4. Multiply: (11 + i)(11 − i) = ___ 5. Solve x² + 14 = 0 in ℂ: x = ___ 6. Real part ___ , imaginary part ___ 7. (16 + 2i) + (14 − 5i) = ___ 8. (15i)(−2i) = ___

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More written practice

1. Plot 15 − 4i on the complex plane. ___ 2. Multiply: (14 + i)(14 − i) = ___ 3. Solve x² + 17 = 0 in ℂ: x = ___ 4. (19 + 2i) + (17 − 5i) = ___ 5. (18i)(−2i) = ___ 6. Plot 18 − 3i on the complex plane. ___

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Patterns and rules

1. (30 + 2i) + (28 − 5i) = ___ 2. (29i)(−1i) = ___ 3. Plot 29 − 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