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2.4B Multiplying Imaginary and Complex Numbers

Total questions: 15

Worksheet time: 2hrs 49mins

Name
Class
Date
1.
Multiply:
(2-5i)(2+5i)
a)
29
b)
4 - 25i
c)
25 - 10i
d)
-21
2.
(2i)(3i)
a)
5i
b)
-5
c)
6i2
d)
-6
3.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
4.
What is the complex conjugate of  4-3i?
a)
A.  1/(4-3i)
b)
B. 1/(4+3i)
c)
C.  -4 + 3i
d)
D.  4 + 3i
5.
Which expression is equivalent to (-6 + i)²?
a)
36 - 12i
b)
35 - 12i
c)
36i²
d)
35i
6.
Multiply: 
(4 – 3i)(-7 – 2i)
a)
A.  -23 + 13i
b)
B.  -23 - 29i
c)
C.  -34 + 13i
d)
D.  -34 - 29i
7.
Multiply:
(2-5i)(2+5i)
a)
29
b)
4 - 25i
c)
25 - 10i
d)
-21
8.
Calculate:
-4 (13 + 5i) 
a)
-52 − 20i
b)
9 + i
c)
17 − 20i
d)
-52 + 20i
9.
Calculate (multiply):
 (4 + 3i)(4 − 3i)
a)
16 − 9i2
b)
25
c)
7
d)
8 − 6i
10.
Calculate (multiply):
(1 − 2i)(6 + 5i)
a)
16 − 7i
b)
-16 + 7i
c)
-16 − 7i
d)
16 + 7i
11.
(-3i)(i)(5i)
a)
15i
b)
-15i
c)
-15i3
d)
15i3
12.
Find the sum.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
13.
Calculate:
(4 − 7i) − (-3 + 6i)
a)
7 − 13i
b)
7 − i 
c)
1 − 13i
d)
1 − i 
14.

What is the conjugate of the following...

 7−2i7-2i  

a)

7 - 2i

b)

-7 - 2i

c)

-7 + 2i

d)

7 + 2i

15.

What is the conjugate of the following...

 4+i4+i  

a)

4 + i

b)

-4 + i

c)

-4 - i

d)

4 - i