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Worksheetsimaginary and complex numbers
Total questions: 16
Worksheet time: 23mins
Name
Class
Date
1.
What does i4 = ?
(a)
2.
What does i2 = ?
(a)
3.
Simplify the expression to a + bi form: (2−i)−(−4+8i)
a)
6 - 9i
b)
-2 + 7i
c)
6 + 7i
d)
-2 - 9i
4.
Simplify.
a)
A
b)
B
c)
C
d)
D
5.
Simplify the expression to a + bi form: (3+i)+(−12−9i)
a)
15 - 8i
b)
-9 + 10i
c)
15 + 10i
d)
- 9 - 8i
6.
Multiply:
(2-5i)(2+5i)
(2-5i)(2+5i)
a)
29
b)
4 - 25i
c)
25 - 10i
d)
-21
7.
Simplify this expression
a)
12
b)
7i
c)
-12
d)
-7i
8.
If x2 = −36, then x =
(a)
9.
Write −10 in simplest radical form.
a)
−i10
b)
i10
c)
−52
d)
52−1
10.
Calculate:
(4 − 7i) − (-3 + 6i)
(4 − 7i) − (-3 + 6i)
a)
7 − 13i
b)
7 − i
c)
1 − 13i
d)
1 − i
11.
Simplify (16−8i)+(22−5i2) [Please write in standard form]
(a)
12.
Simplify (10−3i)−(12−5i)
a)
105 - 86i
b)
105 - 14i
c)
-2 + 2i
d)
-2 - 8i
13.
What is the value of −1 , (what else do we call it?)
(a)
14.
(2i)(3i)
a)
5i
b)
-5
c)
6i2
d)
-6
15.
Simplify
(7−6i)(2−3i)
a)
−4−33i
b)
−4+33i
c)
4−33i
d)
4+33i
16.
Simplify the expression to a + bi form: (4−2i)−(4−7i)
a)
0 + 9i
b)
8 + 5i
c)
0 + 5i
d)
-8 - 5i
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