Performing Operations with Complex Numbers

Question 4 • Algebra III A

Which addition expression has the sum 8 – 3i ?

Answer

(9 + 2i) + (1 – i)

(9 + 4i) + (–1 – 7i)

(7 + 2i) + (1 – i)

(7 + 4i) + (–1 – 7i)

Add the real parts and the imaginary parts separately: (9 + 4i) + (–1 – 7i) = (9 – 1) + (4 – 7)i = 8 – 3i. Therefore, choice B has the sum 8 – 3i.

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