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WorksheetsAlg 3-4 Complex Numbers
Total questions: 55
Worksheet time: 1hrs 2mins
Name
Class
Date
1.
√-4
a)
-2
b)
-2i
c)
2
d)
2i
2.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
3.
√-81
a)
9i
b)
-9i
c)
-9
d)
9
4.
√-9
a)
-3i
b)
3
c)
3i
d)
-3
5.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
6.
(10+3i) - (2-9i)
a)
20-27i
b)
12-7i
c)
8+12i
d)
20-27i2
7.
-6i+3i
a)
3i
b)
-3i
c)
-2i
d)
-3i2
8.
3i + 2i
a)
5i
b)
5i2
c)
6i
d)
-5
9.
Choose the correct answer for the operation pictured.
a)
7-13i
b)
7-i
c)
1-13i
d)
1-i
10.
Choose the correct answer for the operation pictured.
a)
7-3i
b)
7+13i
c)
-5+3i
d)
-5+13i
11.
Simplify: √-64
a)
8
b)
8i
c)
-8i
d)
-8
12.
Simplify: √-16
a)
-4
b)
4
c)
-4i
d)
4i
13.
Simplify: √-49
a)
7i
b)
7
c)
-7i
d)
-7
14.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
15.
Which of the following is equivalent to (3-5i)-(6+2i)
a)
-3-7i
b)
-3-3i
c)
3-3i
d)
9-7i
16.
Which of the following is equivalent to
(5-3i)+(-6+2i)?
(5-3i)+(-6+2i)?
a)
-1-5i
b)
-1-i
c)
11-i
d)
-30-6i
17.
What letter usually represent imaginary number?
a)
a
b)
i
c)
j
d)
x
18.
Find the difference.
(6 - 8i) - (1 - 3i)
(6 - 8i) - (1 - 3i)
a)
9 + 5i
b)
5 - 11i
c)
5 - 5i
d)
7 + 5i
19.
Find the sum.
(5-2i) + (-7+8i)
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
20.
Simplify
3i - (4 + 7i)
3i - (4 + 7i)
a)
-4 + 10i
b)
21 - 12i
c)
4 - 10i
d)
-4 - 4i
21.
Simplify
2i - 7i + 10
2i - 7i + 10
a)
-5i+10
b)
5i
c)
9i+10
d)
5i+10
22.
a)
10
b)
-10
c)
10i
d)
-10i
23.
Simplify:
(10+ 15i)-(48 - 30i)
(10+ 15i)-(48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
24.
Simplify.
a)
-5i
b)
5
c)
5i
d)
-5
25.
a)
5i
b)
-5i
c)
5+i
d)
-5
26.
5.
a)
a
b)
b
c)
c
d)
d
27.
Solve: w² = -49
a)
± 49i
b)
± 7i
c)
± 7
d)
± 7i√7
28.
Simplify:
3√-81
3√-81
a)
-27
b)
3i√3
c)
27i
d)
9i
29.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
30.
Simplify:
√-11⋅√-11
√-11⋅√-11
a)
121
b)
11
c)
-11
d)
i11
31.
1.
a)
A
b)
B
c)
C
d)
D
32.
3.
a)
a
b)
b
c)
c
d)
d
33.
Multiply
3i(-2 + 4i)
3i(-2 + 4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
34.
(10-6i) - (2+3i)
a)
12 + 3i
b)
8 - 3i
c)
8 - 9i
d)
-9i + 8
35.
(7 - 5i)(7 + 5i)
a)
74
b)
24
c)
49 - 25i
d)
49 + 25i
36.
What is the value of the expression below?
(2 + 4i) + i(2 + i)
(2 + 4i) + i(2 + i)
a)
4 + 5i
b)
2 + 7i
c)
7i
d)
-2 + 6i
37.
The expression (2 + 3i)2 is equal to
a)
-5
b)
-5 + 12i
c)
13
d)
13 + 12i
38.
Simplify.
(10i)(-1i)
(10i)(-1i)
a)
-10i2
b)
10
c)
-10
d)
-10i
39.
Simplify.
(5-i)(5+i)
(5-i)(5+i)
a)
26
b)
24
c)
25+i2
d)
25-i2
40.
(7 - 5i)(7 + 5i)
a)
74
b)
24
c)
49 - 25i
d)
49 + 25i
41.
Simplify: (4+2i)/(3-i)
a)
1-i
b)
1+i
c)
10+10i
d)
1+10i
42.
What is the conjugate of -2+5i?
a)
-5+2i
b)
-2-5i
c)
2+5i
d)
5-2i
43.
i6
a)
i
b)
-1
c)
1
d)
-i
44.
Solve
x2 + 49 = 0
x2 + 49 = 0
a)
-7
b)
-7
c)
7i
d)
±7i
45.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
46.
(7-5i)(7+5i)
a)
74
b)
75
c)
74-1
47.
Multiply 2i(3-8i)
a)
16-6i
b)
16+6i
c)
6i-16
d)
-16+5i
48.
Simplify:
(10+ 15i) - (48 - 30i)
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
49.
Find the sum.
(5-2i) + (-7+8i)
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
50.
Simplify:
√-108
√-108
a)
3i√6
b)
3i√20
c)
6i√3
d)
20i√3
51.
(10+3i) - (2-9i)
a)
20-27i
b)
12-7i
c)
8+12i
d)
20-27i2
52.
What is the conjugate of 3i+1
a)
-3i+1
b)
3i-1
c)
-3i-1
d)
3i+1
53.
(1-3i)(2+5i)
a)
22-i
b)
16-i
c)
17-i
54.
Simplify
√-25
√-25
a)
-5i
b)
5
c)
5i
d)
-5
55.
Simplify: √-64
a)
8
b)
8i
c)
-8i
d)
-8
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