Free Printable AM Order of Operations DAY Two

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

3.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

4.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

5.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

6.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

7.

Simplify
3√2 - 3√18

a)

-4√8

b)

4√9-6√3

c)

5√12

d)

-6√2

8.

2√5 - √5 + 4√5 + √3

a)

6√5 + √3

b)

5√5 + √3

c)

6√5

d)

6√3

9.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

10.

Find the area of the rectangle shown.

a)

18√20

b)

12√10 + 6√2

c)

9√12

d)

36√5

11.

a)

b)

c)

d)

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

15.

Find the product: (3√6)(2√3)

a)

6√18

b)

18√2

c)

54√2

d)

18

16.

Simplify

3√2 - 3√18

a)

-4√8

b)

4√9 - 6√3

c)

5√12

d)

-6√2

17.

Simplify 2√5(3√3 + 6√2)

a)

6√15 + 12√10

b)

15√6 + 30√10

c)

90

d)

6√10 + 12√6

18.

Simplify

-2√5 + 3√20

a)

-2√8

b)

-6√36

c)

-6√-12

d)

4√5

19.

Simplify:

6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

20.

Simplify
3√5 + √20 - √45

a)

3√-20

b)

2√-20

c)

3√5

d)

2√5

21.

$-3\sqrt{8}+3\sqrt{18}$

a)

$-3\sqrt{2}$

b)

$6\sqrt{2}$

c)

$15\sqrt{2}$

d)

$3\sqrt{2}$

22.

$5\sqrt{3}+\sqrt{12}$

a)

$7\sqrt{3}$

b)

$9\sqrt{3}$

c)

$5\sqrt{15}$

d)

$6\sqrt{3}$

23.

$10\sqrt{6}+2\sqrt{6}$

a)

$8\sqrt{6}$

b)

$8\sqrt{12}$

c)

$12\sqrt{6}$

d)

$12\sqrt{12}$

24.

$\sqrt{27}+10\sqrt{3}$

a)

$13\sqrt{3}$

b)

$10\sqrt{30}$

c)

$13\sqrt{6}$

d)

$19\sqrt{3}$

25.

$\sqrt{8}-6\sqrt{2}$

a)

$-4\sqrt{2}$

b)

$2\sqrt{2}$

c)

$-6\sqrt{6}$

d)

$-6\sqrt{10}$

26.

$2\sqrt{3}\left(\sqrt{6}-\sqrt{3}\right)$

a)

$6\sqrt{2}-6$

b)

$3\sqrt{2}+3$

c)

$6-\sqrt{3}$

d)

$\sqrt{3}-\sqrt{2}$

27.

$2\sqrt{5}-\sqrt{5}+4\sqrt{5}+\sqrt{3}$

a)

$6\sqrt{5}+\sqrt{3}$

b)

$5\sqrt{5}+\sqrt{3}$

c)

$6\sqrt{5}$

d)

$6\sqrt{3}$

28.

$2\sqrt{3}\left(\sqrt{27}-8\sqrt{6}\right)$

a)

b)

c)

d)

29.

$13\sqrt{2}-4\sqrt{2}$

a)

$17\sqrt{2}$

b)

$0$

c)

$9$

d)

$9\sqrt{2}$

30.

$\sqrt{20}-2\sqrt{5}$

a)

$0$

b)

$2\sqrt{5}$

c)

$\sqrt{15}$

d)

$-2\sqrt{15}$

31.

$-\sqrt{2}+\sqrt{8}-3\sqrt{20}$

a)

$3\sqrt{2}-6\sqrt{5}$

b)

$-5\sqrt{3}$

c)

$\sqrt{2}-6\sqrt{5}$

d)

$\sqrt{4}-6\sqrt{5}$

32.

a)

A

b)

B

c)

C

d)

D

33.

a)

A

b)

B

c)

C

d)

D

34.

a)

A

b)

B

c)

C

d)

D

35.

a)

A

b)

B

c)

C

d)

D

36.

Simplify the expression:
√18

a)

√18

b)

9√2

c)

3√2

d)

2√3

37.

Simplify the expression:
3√8 ∕ √3

a)

2√6

b)

√24

c)

√8

d)

3√24 / 3

38.

Simplify:

a)

5x√2

b)

100x√2

c)

10x√2

d)

10√2x

39.

Simplify completely.

a)

-12√5 - 2√6

b)

-7√6

c)

-7√19

d)

simplest form

40.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

41.

Simplify:

a)

A

b)

B

c)

C

d)

D

42.

Simplify

a)

A

b)

B

c)

C

d)

D

43.

Simplify

a)

A

b)

B

c)

C

d)

D

44.

Simplify

a)

A

b)

B

c)

C

d)

D

45.

a)

A

b)

B

c)

C

d)

D

46.

a)

A

b)

B

c)

C

d)

D

47.

Simplify completely.

a)

-1

b)

-√5

c)

-6√5

d)

-30

48.

Simplify.

a)

5x⁸y¹⁰√10x

b)

5x⁴y⁵√10x

c)

5x⁴y⁵√2x

d)

5√2x⁹y¹⁰

49.

Which expression is equivalent to

a)

8

b)

9

c)

10

d)

11

50.

a)

A

b)

B

c)

C

d)

D

51.

a)

17√2

b)

9√1

c)

9

d)

9√2

52.

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

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

53.

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

a)

-5 + i

b)

-5 - i

c)

-9 + 1

d)

9 - i

54.

Simplify
3i - (4 + 7i)

a)

-4 + 10i

b)

21 - 12i

c)

4 - 10i

d)

-4 - 4i

55.

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

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

56.

Choose the correct answer for the operation pictured.

a)

7-13i

b)

7-i

c)

1-13i

d)

1-i

57.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

58.

The expression (2 + 3i)² is equal to

a)

-5

b)

-5 + 12i

c)

13

d)

13 + 12i

59.

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

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

60.

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

a)

True

b)

False

61.

Simplify:
(7 + 2i)(9 - 6i)

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

62.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

63.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

64.

Multiply
(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

65.

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

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

66.

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

a)

-5 + i

b)

-5 - i

c)

-9 + 1

d)

9 - i

67.

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

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

68.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

What is the simplified form of (-3 + 2i)(1- 4i)

a)

-2 - 2i

b)

5 + 14i

c)

-11 -10i

d)

-3 -8i

72.

What is the simplified form of (-6i)(3i)

a)

-18

b)

-18i

c)

18

d)

-18i²

73.

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

a)

-5+3i

b)

-24-4i

c)

-24-4i²

d)

-20

e)

-20-35i

74.

a)

21 - 16i

b)

21 -24i

c)

11 - 16i

d)

11 - 24i

75.

a)

2 + 12i

b)

-34 + 12i

c)

34 + 12i

d)

-2 + 12i

76.

a)

8 + 14i

b)

3 + 14i

c)

13 + 14i

d)

11 + 14i

77.

a)

15i

b)

9 + 6i

c)

-3i

d)

-9 + 6i

78.

a)

A

b)

B

c)

C

d)

D

79.

a)

A

b)

B

c)

C

d)

D

80.

a)

A

b)

B

c)

C

d)

D

81.

a)

1

b)

i

c)

-1

d)

-i

82.

a)

i

b)

5i

c)

-i

d)

-5i

83.

a)

A

b)

B

c)

C

d)

D

84.

a)

A

b)

B

c)

C

d)

D

85.

a)

i

b)

4

c)

1

d)

-1

86.

a)

1

b)

i

c)

-1

d)

-i

87.

a)

A

b)

B

c)

C

d)

D

88.

a)

-i

b)

i

c)

1

d)

-1

89.

a)

A

b)

B

c)

C

d)

D

90.

a)

A

b)

B

c)

C

d)

D

91.

a)

8i

b)

-8i

c)

-8

d)

8

92.

a)

A

b)

B

c)

C

d)

D

93.

a)

A

b)

B

c)

C

d)

D

94.

a)

0

b)

-i

c)

1

d)

i

95.

What is the simplified form of the above?

a)

7/10 + 11i/10

b)

13/10 +i/10

c)

5/4 - 3i/2

d)

7/10 - 11i/10

96.

Solve for x:

a)

x = {-3+2i, -3-2i}

b)

x = {7, 6}

c)

x = 2±i√3

d)

No solution

97.

Solve the equation:

$5v^2+2=-5$

a)

$\pm\frac{\sqrt{35}}{5}$

b)

$\sqrt{\frac{7}{5}}$

c)

$\pm i\sqrt{\frac{7}{5}}$

d)

$\pm\frac{i\sqrt{35}}{5}$

98.

What is the simplified form of

(-9 + 5i) + (3 -2i)

a)

-12 + 31i

b)

-6 + 3i

c)

-11 + 7i

d)

5 - 3i

99.

What is the simplified form of

(11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

100.

What is the simplified form of

(-6i)(3i)

a)

-18

b)

-18i

c)

18

d)

-18i²

101.

What is the simplified form of

(-3 + 2i)(1- 4i)

a)

-2 - 2i

b)

5 + 14i

c)

-11 -10i

d)

-3 -8i

102.

What is the simplified form of

(8 -3i)²

a)

73

b)

16 - 6i

c)

55 + 48i

d)

55 - 48i

103.

What is the simplified form of

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

104.

What is the simplified form of

(10 + 3i) - (2 - 9i)

a)

20 - 27i

b)

12 - 7i

c)

8 + 12i

d)

20 - 27i²

105.

What is the simplified form of

(i)(3i)

a)

-3i

b)

-3

c)

3

d)

2i

106.

What is the simplified form of

3i(-2 + 4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

107.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-i

108.

What is the conjugate of -2+5i?

a)

-5+2i

b)

-2-5i

c)

2+5i

d)

5-2i

109.

$a+bi$ is called a(n)

a)

Irrational Number

b)

Real Number

c)

Imaginary Number

d)

Complex Number

110.

The "a" part of the solution $a+bi$ is called a(n)

a)

Irrational Number

b)

Real Number

c)

Imaginary Number

d)

Complex Number

111.

The "bi" part of the solution $a+bi$ is called a(n)

a)

Irrational Number

b)

Real Number

c)

Imaginary Number

d)

Complex Number

112.

What is the factor for the complex number solution of -2+5i?

a)

(x + 2 - 5i)

b)

(x - 2 - 5i)

c)

(x + 2 + 5i)

d)

(x - 2 - 5i)

113.

When you correctly multiply the conjugates of two complex numbers together, your answer will always be a(n)

a)

Irrational Number

b)

Real Number

c)

Imaginary Number

d)

Complex Number

114.

What does $i^2=$

(a)

115.

What does $i^{ }=$

a)

1

b)

-1

c)

$\sqrt{1}$

d)

$\sqrt{-1}$

AM Order of Operations DAY Two

Total questions: 115

Worksheet time: 6hrs 36mins

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