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Lesson 6: complex numbers

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.

 3+3i+82i73+3i+8-2i-7  

a)

-4 + i

b)

4 + i

c)

4 - i

2.

 3+7i(53i)8i-3+7i-\left(-5-3i\right)-8i  

a)

2 + 2i

b)

-2 + 1

c)

-1 - 2i

3.

 8(3+2i)+45i8(3+2i)+4-5i  

a)

28 + 11i

b)

1 - 3i

c)

28 + i

4.

Simplify:

 10+15i(4830i)10+15i-(48-30i)  

a)

Hint: do not forget to distribute that negative in front of the parenthesis

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

5.

Simplify

 2i7i+102i-7i+10  

a)

10 - 5i

b)

5i

c)

10 + 9i

d)

10 + 5i

6.

Multiply the expression
 5i(2 + 4i)5i\left(2\ +\ 4i\right)  

a)

 30i30i  

b)

 30i330i^3  

c)

 20 + 10i-20\ +\ 10i  

d)

 20  10i20\ -\ 10i  

7.

Simplify: 

 (7+2i)(96i)(7+2i)(9-6i)  

a)

75-24i

b)

63 - 24i - 12i2

c)

51 - 24i

d)

58 + 60i

8.

Multiply

 (3i)(2+4i)+8(3i)(-2+4i)+8  

a)

- 6 + 12i

b)

- 4 - 6i

c)

- 2 + 7i

d)

12 + 6i

9.

Multiply:

 (43i)(7+2i)5i(4–3i)(7+2i)-5i  

a)

22 - 13i

b)

28 - 24i

c)

34 - 18i

d)

- 34 - 29i

10.

 (13i)(2+5i)+3i8(1-3i)(2+5i)+3i-8  

a)

9 + 2i

b)

16 - i

c)

11 - 2i

d)

9 + 8i