Free Printable Complex and Imaginary Numbers Question Bank

1.

What does i²= ?

a)

1

b)

-1

c)

√-1

d)

√1

2.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

3.

Simplify:

(10 + 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

4.

Find the sum.

(5 - 2i) + (-7 + 8i)

a)

-2 + 6i

b)

12 + 6i

c)

-35 - 16i²

d)

-35 - 16i

5.

Multiply:

(2 - 5i)(2 + 5i)

a)

29

b)

4 - 25i

c)

25 - 10i

d)

-21

6.

(2i)(3i)

a)

5i

b)

-5

c)

6i²

d)

-6

7.

Simplify √-23

a)

-√23

b)

23i

c)

23

d)

i√23

8.

Simplify √-45

a)

3i√5

b)

-3i√5

c)

-i√45

d)

45i

9.

Simplify 2√-32

a)

2i√32

b)

4i√2

c)

8i√2

d)

-16i√2

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

(4+7i)+(8-2i)=

a)

34i

b)

28+6i

c)

12+5i

d)

-4+9i

14.

(3-2i)-(4-2i)=

a)

-1+0i

b)

7-4i

c)

1-2i

d)

-i

15.

(5+8i)+(6-10i)

a)

-1-18i

b)

11-2i

c)

13-4i

d)

-20i

16.

(-9-5i)-(2-7i)

a)

-40+14i

b)

-7-12i

c)

-59i

d)

-11+2i

17.

(2-i)(3+i)

a)

5-i

b)

7

c)

7-i

18.

(4+i)(5+i)

a)

20+i

b)

19+9i

c)

9i

19.

(3-4i)(2+i)

a)

-12+2i

b)

-24i

c)

10-5i

20.

(5-3i)(2-5i)

a)

25-31i

b)

-5-31i

c)

-15-10i

d)

-25i

21.

Simplify $\sqrt[]{-4}$

a)

2i

b)

-2i

c)

2

d)

4i

22.

Simplify $\sqrt[]{-23}$

a)

-√23

b)

23i

c)

23

d)

i√23

23.

$\sqrt[]{-1}=$

a)

$-1$

b)

$1$

c)

$i$

d)

$-i$

24.

$\left(\sqrt[]{-1}\right)^2$

a)

$-1$

b)

$1$

c)

$i$

d)

$-i$

25.

Simplify

$\sqrt[]{-25}$

a)

5

b)

-5

c)

5i

d)

-5i

26.

Simplify

$\sqrt[]{-24}$

a)

12i

b)

$4i\ \sqrt[]{6}$

c)

$-2i\ \sqrt[]{6}$

d)

$2i\ \sqrt[]{6}$

27.

Simplify

$\sqrt[]{-5}\cdot\sqrt[]{10}$

a)

$5i\ \sqrt[]{2}$

b)

$2i\sqrt[]{5}$

c)

$\sqrt[]{50}$

d)

$25i\sqrt[]{2}$

28.

Simplify

$i\ \sqrt[]{-49}$

a)

$7$

b)

$-7i$

c)

$-7$

d)

$7i$

29.

Simplify √-28

a)

-√28

b)

-2i√7

c)

2i√7

d)

28i

30.

Simplify √-45

a)

3i√5

b)

-3i√5

c)

-i√45

d)

45i

31.

a)

10

b)

-10

c)

10i

d)

-10i

32.

Rewrite the complex number $8i$ using a radical.

a)

$-\ \sqrt[]{64}$

b)

$\sqrt[]{-64}$

c)

$\sqrt[]{-8}$

d)

$\sqrt[]{8}$

33.

$2\ \sqrt[]{-108}$

a)

$12i\ \ \sqrt[]{3}$

b)

$6i\ \sqrt[]{3}$

c)

$26i\ \sqrt[]{3}$

d)

$2\ \sqrt[]{36}\ \cdot\ \sqrt[]{3}$

34.

Solve for x: $x^2\ +\ 100\ =\ 0$

a)

10

b)

$\pm\ 10$

c)

$\pm10i$

d)

100i

35.

Solve: $2x^2\ +\ 27\ =\ -13$

a)

-20

b)

$\pm2i\ \sqrt[]{5}$

c)

$\pm i\ \sqrt[]{20}$

d)

$\pm2i\ \sqrt[]{10}$

36.

Simplify: $\left(3i\right)\left(4i\right)$

a)

12i

b)

-7

c)

-12

d)

12

37.

Simplify: $\left(7i\right)^2$

a)

49

b)

-49

c)

-7

d)

14

38.

Simplify: $\sqrt[]{-6}\cdot\sqrt[]{-8}$

a)

$4i\ \sqrt[]{3}$

b)

$4\ \sqrt[]{3}$

c)

-48

d)

$-4\ \sqrt[]{3}$

39.

Find the Sum

3i + 2i

a)

5i

b)

5i²

c)

6i

d)

-5

40.

Find the sum.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

41.

$-3+6i-\left(-5-3i\right)-8i$

(a)

42.

Simplify:

(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

43.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

44.

$4i\left(-2-8i\right)$

(a)

45.

(3+8i)(-2-i)

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

46.

$\left(1-7i\right)^2$

(a)

47.

What complex number is shown on the graph?

a)

(-2,-3)

b)

-2-3i

c)

2-3i

d)

3i-2

48.

Match the expression to the graph shown in the complex plane.

a)

-2i-3i

b)

(0,-5)

c)

-6i

d)

-2(3i)

49.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

50.

A complex number can be expressed as a + bi. What does a represent?

a)

the real part of the complex number

b)

the imaginary part of the complex number

c)

depends on the sign of the number

d)

the square root of the complex number

51.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

52.

Simplify i²³

a)

i

b)

-1

c)

1

d)

-i

53.

Multiply
(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

54.

i¹³

a)

-1

b)

1

c)

i

d)

-i

55.

i⁷

a)

i

b)

-i

c)

1

d)

-1

56.

Add/Subtract using the proper rules:
2i + 3 + 7 - 12 i

a)

10i - 10

b)

-10i + 10

c)

14i + 10

d)

-10i + 4

57.

i⁵²

a)

i

b)

-i

c)

1

d)

-1

58.

Calculate:
(1 − 2i) + (-4 + 2i)

a)

-3

b)

-3 − 4i

c)

5 − 4i

d)

5

59.

What is the conjugate of 5 - 2i?

a)

5 + 2i

b)

-5 - 2i

c)

5 - 2i

d)

-5 + 2i

60.

√-36

a)

6

b)

-6

c)

-6i

d)

6i

61.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

62.

Multiply
(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

63.

Multiply
(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

64.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

65.

What is the simplified form of (8 -3i)²?

a)

73

b)

16 - 6i

c)

55 + 48i

d)

55 - 48i

66.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

67.

What is the conjugate of -2+5i?

a)

-5+2i

b)

-2-5i

c)

2+5i

d)

5-2i

68.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

69.

3i + 2i

a)

5i

b)

5i²

c)

6i

d)

-5

70.

3i+5i+2i+10

a)

10

b)

10i+10

c)

10i

d)

100i

71.

$i=\sqrt[]{-1}$

a)

True

b)

False

72.

a)

A

b)

B

c)

C

d)

D

73.

Where is point B located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

74.

(-5 + 10i)(-5 - 10i) = 125

a)

True

b)

False

75.

Simplify.

a)

b)

c)

d)

76.

a)

A

b)

B

c)

C

d)

D

77.

a)

A

b)

B

c)

C

d)

D

78.

What is the "real part" of this complex number:

–14\ –\ 5i

a)

-14

b)

-5i

c)

14

d)

5i

79.

What is the "imaginary part" of the complex number:
$-2\ +\ 7i$

a)

2

b)

-2

c)

7i

d)

-7i

80.

Find the absolute value (distance from the origin) of the complex number. Also state what quadrant the point would land in.

-3 + i

a)

√10, Quadrant 2

b)

√10, Quadrant 3

c)

2, Quadrant 2

d)

3, Quadrant 3

81.

Simplify $\frac{14}{7-6i}$

a)

$\frac{98+84i}{85}$

b)

$\frac{35+21i}{34}$

c)

$\frac{7+7i}{6}$

d)

$\frac{112+96i}{85}$

82.

$Simplify:\ \ \ \ 2i\left(i+8i^2\right)$

a)

$-2\ -\ 16i$

b)

$2+16i$

c)

$-2i\ -\ 16i^3$

d)

$2i\ -\ 16i$

83.

Solve $x^2+49=0$

a)

$-7$

b)

$7$

c)

$7i$

d)

$\pm7i$

84.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

85.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

86.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

87.

Multiply:
(2-5i)(2+5i)

a)

29

b)

4 - 25i

c)

25 - 10i

d)

-21

88.

i⁷⁹

a)

i

b)

1

c)

-1

d)

-i

89.

(2i)(3i)

a)

5i

b)

-5

c)

6i²

d)

-6

90.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

91.

i¹³

a)

-1

b)

1

c)

i

d)

-i

92.

What is i¹²⁹?

a)

-i

b)

i

c)

1

d)

-1

93.

i⁷

a)

i

b)

-i

c)

1

d)

-1

94.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

95.

Which expression is equivalent to (3 - 4i) –(3 + 5i)?

a)

-9i

b)

-9

c)

3-9i

d)

3

96.

Which expression is equivalent to (2 - 4i) +(5 + 7i)?

a)

3+3i

b)

7-3i

c)

7+3i

d)

3-3i

97.

Which expression is equivalent to (-6 + i)²?

a)

36 - 12i

b)

35 - 12i

c)

36i²

d)

35i

98.

a)

A.

b)

B.

c)

C.

d)

D.

99.

a)

A.

b)

B.

c)

C.

d)

D.

100.

Simplify the division problem:
(2-4i)/(1+3i)

a)

-1-i

b)

(2-12i²)/10

c)

(5+5i)/4

d)

(-10-10i)/10

101.

i⁶⁶

a)

1

b)

i

c)

-1

d)

-i

102.

i⁵²

a)

i

b)

-i

c)

1

d)

-1

103.

Simplify

a)

(-10+6i)/17

b)

(-8+15i)/17

c)

(-23+36i)/25

d)

(-21+33i)/34

104.

Simplify:

\sqrt{-49}

a)

$7$

b)

$-7$

c)

$49i$

d)

$7i$

105.

Solve the Equation:

$x^2=-25$

a)

$x=5,\ x=-5$

b)

$x=-5$

c)

$x=i,\ x=5$

d)

$x=5i,\ x=-5i$

106.

Write the expression as a complex number in standard form.

\left(2+i\right)+\left(3+2i\right)

a)

$3i+5$

b)

$5+3i$

c)

$4+7i$

d)

$-1-i$

107.

Write the expression as a complex number in standard form.

\left(5+i\right)-\left(3-5i\right)

a)

$20-8i$

b)

$8-4i$

c)

$2-3i$

d)

$2+6i$

108.

Write the expression as a complex number in standard form.

\left(1+i\right)\left(2+5i\right)

a)

$-2+7i$

b)

$6+7i$

c)

$3+6i$

d)

$-1-4i$

109.

$i^6$

a)

i

b)

-i

c)

-1

d)

1

110.

$i^{48}$

a)

1

b)

-i

c)

-1

d)

i

111.

The imaginary number i equals

a)

$-1$

b)

$\sqrt[]{-1}$

c)

$1$

d)

$\sqrt[]{1}$

e)

Any number; i is a variable.

112.

$i^2=?$

(a)

113.

True or False: All powers of i can be rewritten as either $i,\ i^2,\ i^3,\$ or $i^4$

a)

True

b)

False

114.

What is the conjugate of $4i-8$ ?

a)

$4i-8$

b)

$4i+8$

c)

$16i-64$

d)

$16i^2-64$

115.

Which of the following is a complex number in standard form? Select all that apply.

a)

$3+2i$

b)

$19i-10$

c)

$\frac{1}{3}-\frac{2}{5}i$

d)

$17i+16i^2$

e)

$4-3i$

116.

The imaginary number represents $\sqrt[]{-1}$ and is represented by the letter (a)

117.

(2i)(3i)

a)

5i

b)

-5

c)

6i²

d)

-6

118.

√-36

a)

6

b)

-6

c)

-6i

d)

6i

119.

$\left(8-3i\right)+\left(5+6i\right)=$

What is

a)

$13+9i$

b)

$13$

c)

$3+13i$

d)

$13+3i$

120.

$\sqrt{-169}$

a)

$-\sqrt{13}i$

b)

$-13i$

c)

$\pm13$

d)

$13i$

121.

Simplify $\frac{8-7i}{1-2i}$

a)

$\frac{20+14i}{5}$

b)

$\frac{22+9i}{5}$

c)

$\frac{6+23i}{3}$

d)

$\frac{20-14i}{5}$

122.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

123.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

124.

Where is point C located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

125.

(4+7i)+(8-2i)=

a)

34i

b)

28+6i

c)

12+5i

d)

-4+9i

126.

(3-2i)-(4-2i)=

a)

-1+0i

b)

7-4i

c)

1-2i

d)

-i

127.

(2-i)(3+i)

a)

5-i

b)

7

c)

7-i

128.

(3-4i)(2+i)

a)

-12+2i

b)

-24i

c)

10-5i

129.

i⁷⁹

a)

i

b)

1

c)

-1

d)

-i

130.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

131.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

132.

Which expression is equivalent to (-6 + i)²?

a)

36 - 12i

b)

35 - 12i

c)

36i²

d)

35i

133.

Simplify

a)

(-10+6i)/17

b)

(-8+15i)/17

c)

(-23+36i)/25

d)

(-21+33i)/34

134.

-4i + 7i

a)

3i

b)

11i

c)

-11i

d)

8 - 4i

135.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

136.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

137.

a)

7

b)

-7

c)

7i

d)

-7i

138.

Simplify √-23

a)

-√23

b)

23i

c)

23

d)

i√23

139.

a)

A

b)

B

c)

C

d)

D

140.

Identify the complex conjugate:

2-3i

a)

$2+3i$

b)

$2-3i$

c)

$i^2$

d)

$-2-3i$

141.

$-3+6i-\left(-5-3i\right)-8i$

(a)

142.

$\left(\sqrt[]{-1}\right)^2$

a)

$-1$

b)

$1$

c)

$i$

d)

$-i$

143.

Solve for x: $x^2\ +\ 100\ =\ 0$

a)

10

b)

$\pm\ 10$

c)

$\pm10i$

d)

100i

144.

What is i?

a)

1

b)

-1

c)

√-1

d)

√1

145.

Which of the is a complex number?

a)

2

b)

4i

c)

3 + 5i

d)

All of them

e)

none of them

146.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

147.

Find the absolute value (distance from the origin) of the complex number. Also state what quadrant the point would land in.

-3 + i

a)

√10, Quadrant 2

b)

√10, Quadrant 3

c)

2, Quadrant 2

d)

3, Quadrant 3

148.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

149.

Simplify $\frac{8-7i}{1-2i}$

a)

$\frac{20+14i}{5}$

b)

$\frac{22+9i}{5}$

c)

$\frac{6+23i}{3}$

d)

$\frac{20-14i}{5}$

150.

Find the Sum

3i + 2i

a)

5i

b)

5i²

c)

6i

d)

-5

151.

Find the sum.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

152.

$-3+6i-\left(-5-3i\right)-8i$

(a)

153.

Simplify:

(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

154.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

155.

$4i\left(-2-8i\right)$

(a)

156.

(3+8i)(-2-i)

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

157.

$\left(1-7i\right)^2$

(a)

158.

Simplify $\sqrt[]{-4}$

a)

2i

b)

-2i

c)

2

d)

4i

159.

$\sqrt[]{-1}=$

a)

$-1$

b)

$1$

c)

$i$

d)

$-i$

160.

Simplify

$\sqrt[]{-5}\cdot\sqrt[]{10}$

a)

$5i\ \sqrt[]{2}$

b)

$2i\sqrt[]{5}$

c)

$\sqrt[]{50}$

d)

$25i\sqrt[]{2}$

161.

Solve: $2x^2\ +\ 27\ =\ -13$

a)

-20

b)

$\pm2i\ \sqrt[]{5}$

c)

$\pm i\ \sqrt[]{20}$

d)

$\pm2i\ \sqrt[]{10}$

162.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

163.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

164.

i⁷⁹

a)

i

b)

1

c)

-1

d)

-i

165.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

166.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

167.

Which expression is equivalent to (3 - 4i) –(3 + 5i)?

a)

-9i

b)

-9

c)

3-9i

d)

3

168.

Which expression is equivalent to (-6 + i)²?

a)

36 - 12i

b)

35 - 12i

c)

36i²

d)

35i

169.

What does i²= ?

a)

1

b)

-1

c)

√-1

d)

√1

170.

Find the absolute value (distance from the origin) of the complex number. Also state what quadrant the point would land in.

-3 + i

a)

√10, Quadrant 2

b)

√10, Quadrant 3

c)

2, Quadrant 2

d)

3, Quadrant 3

171.

What is i?

a)

1

b)

-1

c)

√-1

d)

√1

172.

Which of the is a complex number?

a)

2

b)

4i

c)

3 + 5i

d)

All of them

e)

none of them

173.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

174.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

175.

Where is point C located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

176.

What is the "imaginary part" of the complex number:
$-2\ +\ 7i$

a)

2

b)

-2

c)

7i

d)

-7i

177.

What is the "real part" of the complex number:
$-2+7i$

a)

2

b)

-2

c)

7i

d)

-7i

178.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

179.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

180.

What is the conjugate of 5 - 2i?

a)

5 + 2i

b)

-5 - 2i

c)

5 - 2i

d)

-5 + 2i

181.

What is the conjugate of 5 - 2i?

a)

5 + 2i

b)

-5 - 2i

c)

5 - 2i

d)

-5 + 2i

182.

Simplify

a)

(-10+6i)/17

b)

(-8+15i)/17

c)

(-23+36i)/25

d)

(-21+33i)/34

183.

a)

$\frac{-1\ +\ 17i}{29}$

b)

$\frac{11+13i}{21}$

c)

$\frac{11+17i}{29}$

d)

$\frac{1+17i}{21}$

184.

Simplify $\sqrt[]{-4}$

a)

2i

b)

-2i

c)

2

d)

4i

185.

$\sqrt[]{-1}=$

a)

$-1$

b)

$1$

c)

$i$

d)

$-i$

186.

Simplify

$\sqrt[]{-5}\cdot\sqrt[]{10}$

a)

$5i\ \sqrt[]{2}$

b)

$2i\sqrt[]{5}$

c)

$\sqrt[]{50}$

d)

$25i\sqrt[]{2}$

187.

Solve: $2x^2\ +\ 27\ =\ -13$

a)

-20

b)

$\pm2i\ \sqrt[]{5}$

c)

$\pm i\ \sqrt[]{20}$

d)

$\pm2i\ \sqrt[]{10}$

188.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

189.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

190.

i⁷⁹

a)

i

b)

1

c)

-1

d)

-i

191.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

192.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

193.

Which expression is equivalent to (3 - 4i) –(3 + 5i)?

a)

-9i

b)

-9

c)

3-9i

d)

3

194.

Which expression is equivalent to (-6 + i)²?

a)

36 - 12i

b)

35 - 12i

c)

36i²

d)

35i

195.

What does i²= ?

a)

1

b)

-1

c)

√-1

d)

√1

196.

Find the absolute value (distance from the origin) of the complex number. Also state what quadrant the point would land in.

-3 + i

a)

√10, Quadrant 2

b)

√10, Quadrant 3

c)

2, Quadrant 2

d)

3, Quadrant 3

197.

What is i?

a)

1

b)

-1

c)

√-1

d)

√1

198.

Which of the is a complex number?

a)

2

b)

4i

c)

3 + 5i

d)

All of them

e)

none of them

199.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

200.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

201.

Where is point C located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

202.

What is the "imaginary part" of the complex number:
$-2\ +\ 7i$

a)

2

b)

-2

c)

7i

d)

-7i

203.

What is the "real part" of the complex number:
$-2+7i$

a)

2

b)

-2

c)

7i

d)

-7i

204.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

205.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

206.

What is the conjugate of 5 - 2i?

a)

5 + 2i

b)

-5 - 2i

c)

5 - 2i

d)

-5 + 2i

207.

What is the conjugate of 5 - 2i?

a)

5 + 2i

b)

-5 - 2i

c)

5 - 2i

d)

-5 + 2i

208.

Simplify

a)

(-10+6i)/17

b)

(-8+15i)/17

c)

(-23+36i)/25

d)

(-21+33i)/34

209.

a)

$\frac{-1\ +\ 17i}{29}$

b)

$\frac{11+13i}{21}$

c)

$\frac{11+17i}{29}$

d)

$\frac{1+17i}{21}$

Complex and Imaginary Numbers Question Bank

Total questions: 209

Worksheet time: 13hrs 3mins

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