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Worksheets4.4 Complex Numbers PAP
Total questions: 30
Worksheet time: 8hrs 30mins
Name
Class
Date
1.
a)
10
b)
-10
c)
10i
d)
-10i
2.
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
3.
Simplify:
√-108
√-108
a)
3i√6
b)
3i√20
c)
6i√3
d)
20i√3
4.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
5.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
6.
Multiply:
(4 – 3i)(-7 – 2i)
(4 – 3i)(-7 – 2i)
a)
A. -23 + 13i
b)
B. -23 - 29i
c)
C. -34 + 13i
d)
D. -34 - 29i
7.
Simplify:
(10+ 15i) - (48 - 30i)
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
8.
(3+8i)(-2-i)
a)
2-19i
b)
23-i
c)
34+5i
d)
23-i
9.
Simplify:
5(-6 + 7i) + 3(-7i)
a)
-30 +14i
b)
-30 - 14i
c)
30 - 21i
d)
-30 - 21i2
10.
SImplify:
(5 - 3i)2
a)
16 + 30i
b)
16 - 30i
c)
2 + 8i2
d)
2 + 8i
11.
Simplify:
√-108
√-108
a)
3i√6
b)
3i√20
c)
6i√3
d)
20i√3
12.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
13.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
14.
Simplify:
(10+ 15i) - (48 - 30i)
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
15.
In simplest radical form,
√80 is equivalent to
√80 is equivalent to
a)
16√5
b)
2√20
c)
4√5
d)
8√5
16.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
17.
Multiply:
(4 – 3i)(-7 – 2i)
(4 – 3i)(-7 – 2i)
a)
A. -23 + 13i
b)
B. -23 - 29i
c)
C. -34 + 13i
d)
D. -34 - 29i
18.
Simplify:
-5 - (6 + 6i) + 7
a)
-18 - 6i
b)
-4 - 6i
c)
2 + 12i
d)
-1 - 12i
19.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
20.
Simplify
2i - 7i + 10
2i - 7i + 10
a)
-5i+10
b)
5i
c)
9i+10
d)
5i+10
21.
SImplify:
(-4 - 7i) - (1 + 4i)
a)
-3 - 11i
b)
-3 + 11i
c)
-5 + 11i
d)
-5 - 11i
22.
Simplify:
(4 - 6i)(8 + 4i)
a)
56 - 32i
b)
32 + 24i
c)
56 + 32i2
d)
56 + 32i
23.
Simplify:
(7 + 2i)(9 - 6i)
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i - 12i2
c)
51 - 24i
d)
58 + 60i
24.
Simplify.
a)
b)
c)
d)
25.
Simplify.
(3+2i)+(-5+8i)
(3+2i)+(-5+8i)
a)
-2+10i
b)
8i
c)
8+10i
d)
-2-6i
26.
Simplify.
(-2-4i)+(3-6i)
(-2-4i)+(3-6i)
a)
-9i
b)
-5+2i
c)
1-10i
d)
1-2i
27.
Simplify.
(10i)(-1i)
(10i)(-1i)
a)
-10i2
b)
10
c)
-10
d)
-10i
28.
a)
10
b)
-10
c)
10i
d)
-10i
29.
Simplify:
5(-6 + 7i) + 3(-7i)
a)
-30 +14i
b)
-30 - 14i
c)
30 - 21i
d)
-30 - 21i2
30.
Simplify
3i - (4 + 7i)
3i - (4 + 7i)
a)
-4 + 10i
b)
21 - 12i
c)
4 - 10i
d)
-4 - 4i
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