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COMPLEX NUMBER

Total questions: 31

Worksheet time: 3hrs 28mins

Name

Class

Date

Where is point B located?

2 + i

-3

-1 - i

Where is point C located?

2 + i

-3

-1 - i

Where is point A located?

2 + i

-3

-1 - i

(3 + 2i) + (4 - 5i)

7 + 7i

1 - 3i

1 - 7i

7 - 3i

(4 - 2i) - (3 + 6i)

7 - 4i

1 + 4i

1 - 8i

7 - 8i

(-7 + 9i) + (2 - 10i)

-5 + i

-5 - i

-9 + 1

9 - i

Choose the correct answer for the operation pictured.

7-13i

7-i

1-13i

1-i

What does i² equal?

-1

√-1

-√1

The expression (2 + 3i)² is equal to

-5

-5 + 12i

13 + 12i

10.

The expression (2 + 3i)² is equal to

-5

-5 + 12i

13 + 12i

11.

(3 + 8i)(-2 - i)

2-19i

23-i

34+5i

23-i

12.

(3 + 8i)(-2 - i)

2-19i

23-i

34+5i

23-i

13.

Simplify

(-10+6i)/17

(1+50i)/61

(-23+36i)/25

(-21+33i)/34

14.

(3 + 8i)(-2 - i)

2-19i

23-i

34+5i

23-i

15.

(-5 + 10i)(-5 - 10i) = 125

True

False

16.

(-5 + 10i)(-5 - 10i) = 125

True

False

17.

Simplify i²³

-1

-i

18.

Find the absolute value of the complex number. Also state what quadrant the point would land in.
2 + 3i

√13, Quadrant 1

√5, Quadrant 1

√11, Quadrant 2

√11, Quadrant 3

19.

Find the modulus of the complex number. Also state what quadrant the point would land in.

-3 + i

√10, Quadrant 2

√10, Quadrant 3

2, Quadrant 2

3, Quadrant 3

20.

Express the complex number in polar form.
-2 + 5i

5.39 ( cos 1.95 + i sin 1.95)

5.39 ( cos 65.06 + i sin 65.06)

2.65 ( cos 1.95 - i sin 1.95 )

2.65 ( cos 65. 06 - i sin 65.06 )

21.

Express the complex number in polar form.
6 + 2i

6.32 ( cos 0.32 + i sin 0.32)

6.32 ( cos 0.45 + i sin 0.45)

1.73 ( cos 0.32 + i sin 0.32)

1.73 ( cos 0.45 - i sin 0.45)

22.

What quadrant would the point in polar form land in?
4 ( cos π /3 + i sin π /3)

Quadrant 4

Quadrant 1

Quadrant 2

Quadrant 3

23.

Express the point in polar form in rectangular form.
4 ( cos π /3 + i sin π /3)

2 + 2√3 i

2 + √3 i

2 - 2√3 i

-2 + 2√3 i

24.

Express this complex number in rectangular form.

4 ( cos π /3 + i sin π /3)

2 + 2√3 i

2 + √3 i

2 - 2√3 i

-2 + 2√3 i

25.

Express the complex number in polar form.
6 + 2i

6.32 ( cos 0.32 + i sin 0.32)

6.32 ( cos 0.45 + i sin 0.45)

1.73 ( cos 0.32 + i sin 0.32)

1.73 ( cos 0.45 - i sin 0.45)

26.

What quadrant would the point in polar form land in?
4 ( cos π /3 + i sin π /3)

Quadrant 4

Quadrant 1

Quadrant 2

Quadrant 3

27.

Write the complex number in polar form

3 ( cos 3π/2 + i sin 3π/2)

3 ( cos π/2 + i sin π/2)

9 ( cos 3π/2 + i sin 3π/2)

3 ( cos 2π + i 2π)

28.

29.

30.

-1

$\sqrt{-1}$

$\sqrt{1}$

31.

Change $\sqrt{8}-3i$ to polar form

4 lines

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COMPLEX NUMBER

Total questions: 31

Worksheet time: 3hrs 28mins

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