Operations with Complex Numbers

Question 1

Let x = a + bi and y = c + di and z = f + giWhich statements are true? Check all of the boxes that apply.

Revolt · Accepted Answer

x + y = y + x; (x × y) × z = x × (y × z); (x + y) + z = x + (y + z)

Question 2

(9 – 6i) × m = 9 – 6i What is m?

Revolt · Accepted Answer

1

Question 3

Simplify each expression. Select the correct answer from the drop-down menu.

Revolt · Accepted Answer

✔ –36; −6(3i)(−2i) = 2(3 − i)(−2 + 4i) =: –36; −6(3i)(−2i) = 2(3 − i)(−2 + 4i) =: –4 + 28i

Question 4

–2 + 14i ✔ –4 + 28i –20 + 20i

Revolt · Accepted Answer

✔ –4 + 28i

Question 5

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

Revolt · Accepted Answer

–13 - 4i

Question 6

Which addition expression has the sum 8 – 3i ?

Revolt · Accepted Answer

(9 + 4i) + (–1 – 7i)

Question 7

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 8

Which subtraction expression has the difference 1 + 4i?

Revolt · Accepted Answer

(3 + 5i) – (2 + i)

Question 9

Multiply and simplify the product.–12i × 3iSelect the product.

Revolt · Accepted Answer

36

Question 10

Multiply and simplify the product.(3 – 5i)(–2 + 4i) Select the product.

Revolt · Accepted Answer

14 + 22i

Operations with Complex Numbers Answers

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