Free Printable (21-22)Test 2 Review--Imaginary & Complex Numbers

1.

Give your answer in the form of a+bi for (8-3i)(5-2i)

a)

13 - 5i

b)

34 - 31i

c)

-31 + 34i

d)

5 -13i

2.

Solve 5( - 6 + 4i)

a)

-30 - 20i

b)

-20 +30i

c)

30 + 20i

d)

-30 + 20i

3.

What is the conjugate of 2 - 7i ?

a)

7 + 2i

b)

2 + 7i

c)

-2 - 7i

d)

-2 + 7i

4.

Refer to the above image, what is the conjugate of the denominator?

a)

-1 + 5i

b)

1 - 5i

c)

1 + 5i

d)

-1 - 5i

5.

Refer to the above image, what is the conjugate of the denominator?

a)

8 + 6i

b)

6 + 8i

c)

6 - 8i

d)

-6 +8i

6.

Simplify the above complex number in the form of a+bi

a)

4/5 + (7/5)i

b)

-4/5 - (7/5)i

c)

-4/5 - 7/5i

d)

4/5 - (7/5)i

7.

Simplify (-3-5i)(2-6i)

a)

36 + 8i

b)

36 + 8i²

c)

-36 - 8i

d)

-36 + 8i

8.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

9.

a)

A

b)

B

c)

C

d)

D

10.

(-3-i)(6-i)

a)

-21-7i

b)

-19-3i

c)

-15-5i

d)

-17-9i

11.

Simplify:
-3i(4 + 2i)

a)

6 - 12i

b)

6 + 12i

c)

-12i - 6i²

d)

-12i + 6i²

12.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

13.

Find the product
(1+3i)(2-i)

a)

5+5i

b)

5-5i

c)

2-3i

d)

5+7i

14.

(-7+6i)²

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

15.

(6+i)(-3+6i)

a)

3+7i

b)

-18+6i

c)

-24+6i

d)

-18+12i

16.

(3+4i)(-8-i)

a)

-5+3i

b)

-24-4i

c)

-24-4i²

d)

-20

e)

-20-36i

17.

a)

5i

b)

-5i

c)

5+i

d)

-5

18.

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

19.

Simplify
(-6 - 2i)²

a)

32

b)

36-4i

c)

36+24i

d)

32+24i

20.

a)

A.

b)

B.

c)

C.

d)

D.

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

a)

A

b)

B

c)

C

d)

D

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

Simplify the expression:
$\left(1\ +\ 5i\right)\ +\ \left(1\ -\ 5i\right)$

a)

$2\ +\ 10i$

b)

$2\ +\ 10i^2$

c)

$2$

d)

$-8$

29.

Simplify the expression:
$\left(8\ +\ 9i\right)\ +\ \left(4\ -\ 6i\right)$

a)

$17\ +\ 3i$

b)

$12\ +\ 3i^2$

c)

$17\ -2i$

d)

$12\ +\ 3i$

30.

Simplify the expression:
$\left(5\ +\ 14i\right)\ -\ \left(10\ +\ 2i\right)$

a)

$5\ -16i$

b)

$-5\ +\ 16i$

c)

$5\ -\ 12i$

d)

$-5\ +\ 12i$

31.

Another way to express $\sqrt{-1}$ is?

a)

1

b)

-1

c)

i

d)

0

32.

Simplify: $\left(1\ +\ 3i\right)\ +\ \left(7\ -\ 2i\right)$

a)

8+i

b)

i+8

c)

8+5i

d)

5i+8

33.

Simplify

(12 - 4i) + (-2 + 8i)

a)

8 + 104i

b)

10 + 4i

c)

14 - 4i

d)

10 - 12i

34.

Simplify the expression:
$\left(5\ +\ 4i\right)\ -\ \left(-1\ -\ 2i\right)$

a)

$6\ +6i$

b)

$4\ +\ 2i$

c)

$6\ -\ 6i$

d)

$4\ -\ 2i$

35.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

36.

Simplify
3i - (4 + 7i)

a)

-4 + 10i

b)

21 - 12i

c)

4 - 10i

d)

-4 - 4i

37.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

38.

(-7 + 9i) + (2 - 10i)

a)

-5 + i

b)

-5 - i

c)

-9 + 1

d)

9 - i

39.

(4 - 2i) - (3 + 6i)

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

40.

Choose the correct answer for the operation pictured.

a)

7-13i

b)

7-i

c)

1-13i

d)

1-i

41.

Simplify.

a)

b)

c)

d)

42.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

43.

Simplify
2i - 7i + 10

a)

-5i+10

b)

5i

c)

9i+10

d)

5i+10

44.

√-81

a)

9i

b)

-9i

c)

-9

d)

9

45.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

46.

Simplify -4√-63

a)

3i√7

b)

-12i√7

c)

-12√7

d)

36√7

47.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

48.

Simplify i²³

a)

i

b)

-1

c)

1

d)

-i

49.

3+√-4

a)

1

b)

3-2i

c)

5

d)

3+2i

50.

-6i+3i

a)

3i

b)

-3i

c)

-2i

d)

-3i²

51.

i⁶⁶

a)

1

b)

i

c)

-1

d)

-i

52.

a)

10

b)

-10

c)

10i

d)

-10i

53.

√-4

a)

-2

b)

-2i

c)

2

d)

2i

54.

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

55.

What is the imaginary part of 21-14i?

a)

14

b)

21

c)

-21

d)

-14

56.

What is the real part of 13.2i+1?

a)

13.2

b)

-1

c)

1

d)

-13.2

57.

Which of the following best describes a complex number?

a)

Consists of rational and irrational numbers.

b)

Consists of real part only.

c)

Consists of real and imaginary numbers.

d)

Consists of imaginary numbers.

58.

Which of the following is a complex number?

a)

$4\ +\ 3x$

b)

$25\pi\ +\ 2$

c)

$2.5\ +\ \frac{5}{2}$

d)

$6\ +\ 5i$

59.

Calculate:
-4 (13 + 5i)

a)

-52 − 20i

b)

9 + i

c)

17 − 20i

d)

-52 + 20i

60.

simplify this expression and choose the correct answer
$\sqrt{-24}$

a)

$3\sqrt{4}i\$

b)

$2\sqrt{6\ i}$

c)

$-2\sqrt{6}$

d)

$8\sqrt{3}$

61.

Simplify $\sqrt{-18}$

a)

$3i\sqrt{2}$

b)

$2i\sqrt{7}$

c)

$-6\sqrt{3}$

d)

$8i\sqrt{10}$

62.

Simplify: -√49

a)

7i

b)

7

c)

-7i

d)

-7

(21-22)Test 2 Review--Imaginary & Complex Numbers

Total questions: 62

Worksheet time: 8hrs 58mins

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