Free Printable Imaginary and Complex Numbers Exam/3rd 9 Weeks

1.

a)

2i√6

b)

8i√3

c)

-2√6

d)

-2i√6

2.

a)

i

b)

-1

c)

1

d)

-i

3.

Simplify √-8

a)

-i√8

b)

-2√2

c)

2i√2

d)

8i

4.

Simplify

a)

4i √2

b)

-4 √2

c)

2i √8

d)

-2 √8

5.

Simplify

a)

-6

b)

6i

c)

√6i

d)

√6

6.

$\sqrt{-12}$

a)

$2i\sqrt{3}$

b)

$4i\sqrt{3}$

c)

$-2\sqrt{3}$

d)

$-4i\sqrt{3}$

7.

$\sqrt{-18}$

a)

$3i\sqrt{2}$

b)

$9i\sqrt{2}$

c)

$-3\sqrt{2}$

d)

$-9i\sqrt{2}$

8.

a)

-24i√7

b)

24i√7

c)

-24√7

d)

24√7

9.

i^6

a)

1

b)

-1

c)

i

d)

-i

10.

i^5

a)

1

b)

-1

c)

$i$

d)

$-i$

11.

i^7

a)

1

b)

-1

c)

$i$

d)

$-i$

12.

i^{12}

a)

1

b)

-1

c)

$i$

d)

$-i$

13.

i^{26}

a)

1

b)

-1

c)

$i$

d)

$-i$

14.

What does i² = ?

a)

1

b)

√-1

c)

-1

d)

-√1

15.

a)

10

b)

-10

c)

10i

d)

-10i

16.

i^3

a)

1

b)

-1

c)

$i$

d)

$-i$

17.

i^{20}

a)

1

b)

-1

c)

$i$

d)

$-i$

18.

i^{41}

a)

1

b)

-1

c)

$i$

d)

$-i$

19.

i^{55}

a)

1

b)

-1

c)

$i$

d)

$-i$

20.

i^{61}

a)

1

b)

-1

c)

$i$

d)

$-i$

21.

i^{75}

a)

1

b)

-1

c)

$i$

d)

$-i$

22.

i^{89}

a)

1

b)

-1

c)

$i$

d)

$-i$

23.

i^{106}

a)

1

b)

-1

c)

$i$

d)

$-i$

24.

$i^{322}$

a)

$1$

b)

$-1$

c)

$i$

d)

$-i$

25.

Add/Subtract using the proper rules:
(7 + 2i) - (-12 - 4i)

a)

-5 - 2i

b)

19 - 2i

c)

-5 + 6i

d)

19 + 6i

26.

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

a)

10i - 10

b)

-10i + 10

c)

14i + 10

d)

-10i + 4

27.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

28.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

29.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

30.

What is $\left(3-5i\right)+\left(-4+7i\right)$ ?

a)

$-1+2i$

b)

$7-12i$

c)

$1+2i$

d)

$-2+3i$

31.

$\ What\ is\ \left(-5+3i\right)-\left(4+7i\right)?$

a)

$-1-4i$

b)

$-9-4i$

c)

$-1+4i$

d)

$-9+4i$

32.

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

a)

34i

b)

28+6i

c)

12+5i

d)

-4+9i

33.

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

a)

-1+0i

b)

7-4i

c)

1-2i

d)

-i

34.

(i)(3i)

a)

-3i

b)

-3

c)

3

d)

2i

35.

(-3-i)(6-i)

a)

-21-7i

b)

-19-3i

c)

-15-5i

d)

-17-9i

36.

(-4i)(3i)(4i)

a)

24

b)

-48i

c)

48i

d)

60

37.

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

38.

If you are adding two complex numbers you should

a)

add all the numbers together then divide by 2

b)

add only the real numbers and subtract the complex numbers

c)

add only the complex numbers and subtract the real numbers

d)

add only the real numbers together and then add only the complex numbers together then stop

39.

a)

a

b)

b

c)

c

d)

d

40.

a)

a

b)

b

c)

c

d)

d

41.

a)

a

b)

b

c)

c

d)

d

42.

(5)(2i)

a)

10i

b)

-10

c)

10i²

d)

-10i²

43.

(-4i)(5i)

a)

20

b)

-20i

c)

20i²

d)

-20i²

44.

(-6i)(-3i)

a)

-18

b)

-18i

c)

18i²

d)

-18i²

45.

-4(2 - 3i)

a)

-8 + 12i

b)

8 - 12i

c)

20i

d)

-4i

46.

-2(4 - 5i)

a)

-8 + 10i

b)

8 - 10i

c)

-18i

d)

2i

47.

$\left(4-3i\right)\left(-7-2i\right)$

a)

-23 + 13i

b)

-23 - 29i

c)

-34 + 13i

d)

-34 - 29i

48.

$\left(7+2i\right)\left(9-6i\right)$

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

49.

a)

A

b)

B

c)

C

d)

D

50.

a)

A

b)

B

c)

C

d)

D

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

a)

A

b)

B

c)

C

d)

D

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

A

b)

B

c)

C

d)

D

57.

a)

A

b)

B

c)

C

d)

D

58.

What is the conjugate you would multiply by?

a)

5+2i

b)

5-2i

c)

-5-2i

d)

-5+2i

59.

What is the conjugate you would multiply by?

a)

2+i

b)

2-i

c)

-2+i

d)

-2-i

60.

What is the conjugate you would multiply by?

a)

-1-5i

b)

1+5i

c)

1-5i

d)

-1+5i

61.

What is the denominator after multiplying and before simplifying?

a)

17

b)

13

c)

5i

d)

15i

62.

What is the denominator after multiplying and before simplifying?

a)

-3

b)

29

c)

21i

d)

2+5i

63.

What is the denominator after multiplying and before simplifying?

a)

-10

b)

-2i

c)

2i

d)

10

64.

What is the conjugate of -2+5i?

a)

-5+2i

b)

-2-5i

c)

2+5i

d)

5-2i

65.

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

66.

Simplify

a)

b)

c)

d)

67.

Like terms have ________.

a)

only the same variable

b)

the same power but different variables

c)

the same variable but different powers

d)

the same variable at the same power

68.

Multiplying a complex number by its conjugate results in a...?

a)

Real long problem

b)

A new conplex number

c)

A real number

d)

An Imaginary number

Imaginary and Complex Numbers Exam/3rd 9 Weeks

Total questions: 68

Worksheet time: 4hrs 59mins

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