Quiz about Complex Numbers

Question 1

Which of the following are true? Select all that apply.

Accepted Answer

i = i

Accepted Answer

i2 = -1

Accepted Answer

i3 = -i

Accepted Answer

i4 = 1

Question 2

$$\left(-9+5i\right)+\left(3-2i\right)$$

Accepted Answer

-6 + 3i

Answer

-12 + 31i

Answer

-11 + 7i

Answer

5 - 3i

Question 3

$$\left(11-7i\right)-\left(-3+12i\right)$$

Accepted Answer

14 - 19i

Answer

8 - 19i

Answer

8 + 5i

Answer

14 + 5i

Question 4

Simplify: $$\left(-6i\right)\left(3i\right)$$

Accepted Answer

18

Answer

-18

Answer

-18i

Answer

-18i2

Question 5

$$\left(-3+2i\right)\left(1-4i\right)$$

Accepted Answer

5 + 14i

Answer

-2 - 2i

Answer

-11 - 10i

Answer

-3 - 8i

Question 6

Simplify using the powers of i.

$$i^{24}$$

Accepted Answer

1

Answer

i

Answer

-1

Answer

-i

Question 7

Simplify using the powers of i.

$$-9i^{42}$$

Accepted Answer

9

Answer

-9i

Answer

9i

Answer

-9

Question 8

$$2i\left(-2+4i\right)-5i$$

Accepted Answer

-8 - 9i

Answer

8 + i

Answer

-8 - i

Answer

8 - 9i

Question 9

Simplify using the powers of i and write your answer in standard form.

$$-5i^{25}\ \cdot3i^{18}$$

Accepted Answer

15i

Answer

-15i

Answer

-15

Answer

-161.25

Question 10

$$\sqrt{-45}$$

Accepted Answer

$$3i\sqrt{5}$$

Answer

$$5i\sqrt{3}$$

Answer

$$3\sqrt{5}$$

Answer

$$5\sqrt{9}$$

Question 11

$$12-\sqrt{1-64}$$

Accepted Answer

$$12-3i\sqrt{7}$$

Answer

$$3\sqrt{7}$$

Answer

$$12+3i\sqrt{7}$$

Answer

$$9i\sqrt{7}$$

Question 12

$$\left(2i\right)\left(3i\right)+\sqrt[]{5-30}$$

Accepted Answer

-6 + 5i

Answer

6 - 5i

Answer

6 + 5i

Answer

-6 - 5i

Question 13

Simplify using the powers of i: $$i^{13}$$

Accepted Answer

i

Answer

-1

Answer

1

Answer

-i

Question 14

Simplify using the powers of i.
$$-i^{129}$$

Accepted Answer

-i

Answer

i

Answer

1

Answer

-1

Question 15

Simplify: $$\left(-3i\right)\left(4i\right)\left(-5i\right)$$

Accepted Answer

-60i

Answer

60

Answer

-60

Answer

60i

Question 16

$$\left(3i\right)\left(-2+4i\right)$$

Accepted Answer

-12 - 6i

Answer

-6 + 12i

Answer

-2 + 7i

Answer

12 + 6i

Question 17

$$\left(2+3i\right)^2$$

Accepted Answer

-5 + 12i

Answer

-5

Answer

13

Answer

13 + 12i

Question 18

Simplify: $$8i^{40}$$

Accepted Answer

8

Answer

8i

Answer

-8i

Answer

-8

Question 19

$$4i^{83}\cdot-2i^{107}$$

Accepted Answer

8

Answer

-8

Answer

8i

Answer

-8i

Complex Numbers

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