Regents Exam Questions Name: ________________________
N.CN.A.2: Operations with Complex Numbers 2b
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N.CN.A.2: Operations with Complex Numbers 2b
1 For all values of a and b, what is the additive
inverse of
a bi
?
2 The additive inverse of
2 3i
is
3 The product of
5 2i
and i is
4 The expression
(1 i)
2
is equivalent to
5 The expression
(2 i)
2
is equivalent to
6 Expressed in
a bi
form,
(1 3i)
2
is equivalent to
7 The expression
(2 3i)
2
is equal to
8 The value of
(1 i)
2
is
9 The expression
(3 i)
2
is equivalent to
10 If
f(x) x
2
, then
f(2 3i)
equals
11 The product of
2 2i()
and
2 2i()
is
12 The product of
3 2i()
and
7 6i()
is
13 The product of
2 6i()
and
3 4i()
is
14 What is the product of the complex numbers
2 3i
and
1 2i
expressed in simplest terms?
15 If
(3 2i) (2 bi) 5 4i
, the value of b is
16 The expression
(i
3
1)(i
3
1)
is equivalent to
17 Find the additive inverse of
3 2i
.
18 Express and simplify in
a bi
form:
(12 3i) (3 i)
19 Subtract
(3 2i)
from
(2 3i)
, and express in
a bi
form.
20 Express in
a bi
form:
2i(i 3)
21 Express
3i 1 i()
in
a bi
form.
22 Express
3 2i()
2
in
a bi
form.
23 Express the product
(3 2i)(1 3i)
in
a bi
form.
24 Express the product
2 i()(4 3i)
in the form
a bi
.
25 If
4 2i (a 4i) 9 2i
, find the value of a.
26 Solve for x:
(5 2i) (x 4i) 7 6i
.
27 Express in simplest
a bi
form:
(2 i)
3
28 Express the complex number
(1 2i)
4
in
a bi
form.
29 Expand and express
(i 3)
4
in simplest
a bi
form,
where i is the imaginary unit.
30 Where i is the imaginary unit, expand and simplify
completely
(3 i)
4
.
