Operations with Complex Numbers

Question 1

(9 – 6i) × m = 9 – 6i What is m?

Revolt · Accepted Answer

1

Question 2

Simplify each expression. Select the correct answer from the drop-down menu. −6(3i)(−2i) = 2(3 − i)(−2 + 4i) =

Revolt · Accepted Answer

Selection 1: –36; Selection 2: –4 + 28i

Question 3

Select the correct answer from the choices given(13 + 4i) + n = 0 What is n?

Revolt · Accepted Answer

–13 - 4i

Question 4

Which addition expression has the sum 8 – 3i ?

Revolt · Accepted Answer

(9 + 4i) + (–1 – 7i)

Question 5

Is the work shown below correct? Explain your answer.(11 + 2i ) – (3 – 10i ) = 11 + 2i – 3 – 10i = (11 – 3) + (2i – 10i) = 8 – 8i

Revolt · Accepted Answer

No, the work is incorrect. When subtracting $(3 10i)$, the subtraction sign must be distributed to both terms in the parentheses. This means $(10i)$ should become $10i$. The correct steps should be: $11 2i 3 10i (11 3) (2i 10i) 8 12i$.

Question 6

Which subtraction expression has the difference 1 + 4i?

Revolt · Accepted Answer

(3 + 5i) – (2 + i)

Question 7

(6 + 3i)(6 − 3i) = (4 − 5i)(4 + 5i) = (−3 + 8i)(−3 − 8i) =

Revolt · Accepted Answer

Part 1: 45; Part 2: 41; Part 3: 73

Question 8

Which pair of complex factors results in a real-number product?

Revolt · Accepted Answer

(4+7i)(4-7i)

Question 9

Find the sum of (–4 + i) and (10 – 5i).

Revolt · Accepted Answer

6 – 4i

Question 10

Which of the following did your answer include? Check all of the boxes that apply.

Revolt · Accepted Answer

The work shown is not correct.; The subtraction sign did not get distributed to the –10i.; The sign on –10i should have changed.; The imaginary part should be 12i.

Operations with Complex Numbers Answers

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