Free Printable Test 2 Review Part 1: complex basics, add/subtract complex

1.

$i+6i$

(a)

2.

$3+3i+8-2i-7$

(a)

3.

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

(a)

4.

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

(a)

5.

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

a)

$2\ +\ 10i$

b)

$2\ +\ 10i^2$

c)

$2$

d)

$-8$

6.

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

a)

$17\ +\ 3i$

b)

$12\ +\ 3i^2$

c)

$17\ -2i$

d)

$12\ +\ 3i$

7.

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

a)

$5\ -16i$

b)

$-5\ +\ 16i$

c)

$5\ -\ 12i$

d)

$-5\ +\ 12i$

8.

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

a)

$6\ +6i$

b)

$4\ +\ 2i$

c)

$6\ -\ 6i$

d)

$4\ -\ 2i$

9.

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

a)

1

b)

-1

c)

i

d)

0

10.

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

a)

8+i

b)

i+8

c)

8+5i

d)

5i+8

11.

$2\left(3\ +\ 4i\right)-\left(4\ -\ 6i\right)$

a)

$2\ +\ 14i$

b)

$10\ +\ 2i$

c)

$-1\ -2i$

d)

$-2\ -2i$

12.

Simplify

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

a)

8 + 104i

b)

10 + 4i

c)

14 - 4i

d)

10 - 12i

13.

Identify the LIKE TERMS
$-3\ +\ 9i\ -\ 2i\ +\ 6i^2$

a)

$9i\ \ \ and\ \ \ -2i$

b)

$9i,\ \ -2i\ \ \ \ and\ \ \ 6i^2$

c)

$9i\ \ \ and\ \ \ 6i^2$

d)

There are no like terms

14.

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

a)

$6\ +6i$

b)

$4\ +\ 2i$

c)

$6\ -\ 6i$

d)

$4\ -\ 2i$

15.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

16.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

17.

Simplify
3i - (4 + 7i)

a)

-4 + 10i

b)

21 - 12i

c)

4 - 10i

d)

-4 - 4i

18.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

19.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

20.

(3 + 2i) + (4 - 5i)

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

21.

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

a)

-5 + i

b)

-5 - i

c)

-9 + 1

d)

9 - i

22.

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

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

23.

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

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

24.

Choose the correct answer for the operation pictured.

a)

7-13i

b)

7-i

c)

1-13i

d)

1-i

25.

√-36

a)

6

b)

-6

c)

-6i

d)

6i

26.

Simplify.

a)

b)

c)

d)

27.

Simplify:
-3i(4 + 2i)

a)

6 - 12i

b)

6 + 12i

c)

-12i - 6i²

d)

-12i + 6i²

28.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

29.

Simplify
2i - 7i + 10

a)

-5i+10

b)

5i

c)

9i+10

d)

5i+10

30.

Simplify.

a)

-5i

b)

5

c)

5i

d)

-5

31.

√-81

a)

9i

b)

-9i

c)

-9

d)

9

32.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

33.

Simplify -4√-63

a)

3i√7

b)

-12i√7

c)

-12√7

d)

36√7

34.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

35.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

36.

Where is point B located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

37.

Where is point C located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

38.

Where is point A located?

a)

2 + i

b)

-3

c)

2i

d)

-1 - i

39.

Simplify i²³

a)

i

b)

-1

c)

1

d)

-i

40.

3+√-4

a)

1

b)

3-2i

c)

5

d)

3+2i

41.

2 - √-9

a)

2-3i

b)

2+3= 5

c)

2+3i

d)

2 - 3= -1

42.

-6i+3i

a)

3i

b)

-3i

c)

-2i

d)

-3i²

43.

i⁷

a)

i

b)

-i

c)

1

d)

-1

44.

i⁶⁶

a)

1

b)

i

c)

-1

d)

-i

45.

a)

10

b)

-10

c)

10i

d)

-10i

46.

i¹³

a)

-1

b)

1

c)

i

d)

-i

47.

√-4

a)

-2

b)

-2i

c)

2

d)

2i

48.

4+5i+6+6i

a)

21i

b)

20i+36

c)

24+30i

d)

10+11i

49.

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

50.

What is the imaginary part of 21-14i?

a)

14

b)

21

c)

-21

d)

-14

51.

What is the real part of 13.2i+1?

a)

13.2

b)

-1

c)

1

d)

-13.2

52.

$\ Simplify\ :\sqrt{-36}\ +\ \sqrt{16}$

a)

$4\ -\ 6i$

b)

$4\ +\ 6i$

c)

$\sqrt{6}i\ -\ 4$

d)

$-\sqrt{6i}\ +\ 4i$

53.

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.

54.

Which of the following is a complex number?

a)

$4\ +\ 3x$

b)

$25\pi\ +\ 2$

c)

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

d)

$6\ +\ 5i$

55.

Calculate:
-4 (13 + 5i)

a)

-52 − 20i

b)

9 + i

c)

17 − 20i

d)

-52 + 20i

56.

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)

$8\sqrt{3}$

57.

Simplify $\sqrt{-70}$

a)

$i\sqrt{70}$

b)

$7i\sqrt{10}$

c)

$-12\sqrt{5}$

d)

$-35$

58.

Simplify $\sqrt{-18}$

a)

$3i\sqrt{2}$

b)

$2i\sqrt{7}$

c)

$-6\sqrt{3}$

d)

$8i\sqrt{10}$

59.

Simplify

a)

-4 - i

b)

-4 + i

c)

-4

d)

i - 4

60.

Simplify: -√49

a)

7i

b)

7

c)

-7i

d)

-7

Test 2 Review Part 1: complex basics, add/subtract complex

Total questions: 60

Worksheet time: 5hrs 0mins

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