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Day 8 Multiply and Divide Complex Numbers

Total questions: 10

Worksheet time: 12mins

Name
Class
Date
1.

Give your answer in the form of a+bi for (8-3i)(5-2i)

a)

13 - 5i

b)

34 - 31i

c)

-31 + 34i

d)

5 -13i

2.

Solve 5( - 6 + 4i)

a)

-30 - 20i

b)

-20 +30i

c)

30 + 20i

d)

-30 + 20i

3.

What is the conjugate of 2 - 7i ?

a)

7 + 2i

b)

2 + 7i

c)

-2 - 7i

d)

-2 + 7i

4.

Solve (-3-5i)(2-6i)

a)

36 + 8i

b)

36 + 8i2

c)

-36 - 8i

d)

-36 + 8i

5.
(1-3i)(2+5i)
a)
22-i
b)
16-i
c)
17-i
6.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
7.
Simplify
a)
(-7-3i)/10
b)
(-4-3i)/7
c)
6i/7
d)
(4i-3)/7
8.

Simplify 20−16i−4i\frac{20-16i}{-4i}  

a)

4+5i4+5i  

b)

−4+5i-4+5i  

c)

4−5i4-5i  

d)

5+4i5+4i  

9.

Simplify.

a)

A

b)

B

c)

C

d)

D

10.

Refer to the above image, what is the conjugate of the denominator?

a)

-1 + 5i

b)

1 - 5i

c)

1 + 5i

d)

-1 - 5i