Complex Numbers Review

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Name_________________________________
Alg2/Trig
Date_________________
Complex Numbers Review
a
bi
1. What is the sum of 2 − −4 and 3
16
expressed in
+
form?
− + −
i
i
i
i
(1) -1 + 2
(2) -1 +
(3) -1 + 12
(4) -14 +
20
i i i i i
2. The expression
0
1
2
3
4
is equal to
i i i i
i
i
(1) 1
(2) -1
(3)
(4) -
( )
f x
x
x
f i
3. If
( )
3
2
2
, then
is equivalent to
=
i
i
i
i
(1) -2 +
(2) -2 –
(3) 2+
(4) 2 –
i
15
4. The expression
is equivalent to
i
3
(1) 1
(2) i
(3) -1
(4) -i
a bi
a bi
5. If a and b are real numbers, then the product of
and
is
+
(1) always imaginary
(2) always a real number
(3) sometimes, but not always, a real number
(4) sometimes, but not always, imaginary
6. Which of the following is the additive inverse of -4 + 7i?
4
7
i
(4) 4 – 7i
(1) -4 – 7i
(2) 4 + 7i
(3)
65
65

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