Complex Numbers Answers

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

Select the correct answer from the choices given(13 + 4i) + n = 0 What is n?01–13 + 4i–13 - 4i

Which addition expression has the sum 8 – 3i ?(9 + 2i) + (1 – i)(9 + 4i) + (–1 – 7i)(7 + 2i) + (1 – i)(7 + 4i) + (–1 – 7i)

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

Which subtraction expression has the difference 1 + 4i?(–2 + 6i) – (1 – 2i)(–2 + 6i) – (–1 – 2i)(3 + 5i) – (2 – i)(3 + 5i) – (2 + i)

Multiply and simplify the product.–12i × 3iSelect the product.36-3636i-36i

Multiply and simplify the product.(3 – 5i)(–2 + 4i) Select the product.14+ 2i14 + 22i15 + 22i26+2i

(6 + 3i)(6 − 3i) = [___] (4 − 5i)(4 + 5i) = [___] (−3 + 8i)(−3 − 8i) = [___]

Which pair of complex factors results in a real-number product?15(–15i)3i(1-3i)(8 + 20i)(–8 – 20i) (4+7i)(4-7i)

(9 – 6i) × m = 9 – 6i What is m?019 + 6i-9 + 6i

Find the sum of (–4 + i) and (10 – 5i).–3 + 5i–3 - 5i6 – 4i6 – 6i

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

Subtract (3 + 2i) from (–9 – 8i).–17 – 5i–6 – 6i–12 – 10i12 + 10i

Multiply and simplify the product.2i(4 – 5i) Select the product.–2i2i–10 + 8i10 + 8i

Multiply and simplify the product.(8 – 5i)2 Select the product. 398939-80i89-80i

(6 + 3i)(6 − 3i) = [___] (4 − 5i)(4 + 5i) = [___] (−3 + 8i)(−3 − 8i) = [___]

What values of c and d would make the following expression represent a real number?i(2 + 3i)(c + di) c = 2, d = 3c = –2, d = 3c = 3, d = –2c = –3, d = –2

(6 + 3i)(6 − 3i) = [___] (4 − 5i)(4 + 5i) = [___] (−3 + 8i)(−3 − 8i) = [___]

−6(3i)(−2i) = [___] 2(3 − i)(−2 + 4i) = [___]

−6(3i)(−2i) = [___] 2(3 − i)(−2 + 4i) = [___]