Download COMPLEX NUMBERS PRACTICE

COMPLEX NUMBERS PRACTICE
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Write in terms of i.
1) -9
2)
1)
2)
-256
Perform the indicated operation. Write the result in the form a + bi.
3) (2 - 4i) + (9 + 8i)
3)
4) (12i)(15i)
5)
4)
7
6i
5)
Find the power of i.
6) i48
6)
Perform the indicated operation. Write the result in the form a + bi.
7) 2i(7 - 2i)
7)
8) (9 - 63i)(7 - i)
8)
Find the power of i.
9) i24
9)
10) i25
10)
11) i22
11)
12) (-5i)5
12)
Fill in the blank with one of the words or phrases listed below.
index
complex number
rationalizing
like radicals
3 + 2 is
conjugate
radicand
principal square root
imaginary unit
13) The
of
3 - 2.
14) The
of a nonnegative number a is written as
cube root
distance
midpoint
13)
1
a.
14)
15) The process of writing a radical expression as an equivalent expression but without a
radical in the denominator is called
the denominator.
15)
16) The
written i, is the number whose square is -1.
16)
17) The
of a number is written as
18) In the natation
n
3
a.
a, n is called the
17)
and a is called the
19) Radicals with the same index and the same radicand are called
20) A(n)
.
.
is a number that can be written in the form a + bi, where a and b are real
18)
19)
20)
numbers.
21) The
formula is d =
22) The
formula is
(x 2 - x 1 )2 + (y2 - y1 )2 .
x1 + x 2 y1 + y2
,
.
2
2
21)
22)
Find the power of i.
23) i28
23)
24) i29
24)
25) i38
25)
26) (-2i)5
26)
27) i30
27)
28) (5i)4
28)
29) (-6i)5
29)
30) (-3i)7
30)
Perform the indicated operation. Write the result in the form a + bi.
9
31)
2 - 9i
32)
6 + 7i
7 - 4i
31)
32)
2
33)
7 - 9i
9 + 2i
33)
34)
5 + 15i
-3i
34)
35) (12i)(-8i)
35)
36) (5 + 9i)2
36)
37) (7 + 5i)(7 - 5i)
37)
38) (3 - 15i)(5 - i)
38)
39) (-9 + 9i) - 6
39)
40) 8i + (-5 - i)
40)
41) (9 + 7i) - (-2 + i)
41)
42) (6 - 6i) - (6 - i)
42)
43) (9 + 9i) + (4 - 9i)
43)
Write in terms of i.
44) -36
44)
45)
-220
45)
46)
-279
46)
47) -
47)
-207
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