Free Printable Complex Numbers (Operations, Zeros, Conjugates)

1.

Simply $i^{13}$

a)

-1

b)

1

c)

i

d)

-i

2.

Simplify $i^{52}$

a)

i

b)

-i

c)

1

d)

-1

3.

Simplify: (4 + 7i) - (3 + 2i)

a)

1 + 5i

b)

7 + 9i

c)

1 + 9i

d)

-1 + 5i

4.

What is the simplified form of (11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

5.

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

a)

-2 - 2i

b)

5 + 14i

c)

-11 -10i

d)

-3 -8i

6.

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

a)

73

b)

16 - 6i

c)

55 + 48i

d)

55 - 48i

7.

Simplify (11 + 5i)(11 - 5i)

a)

121 -110i

b)

121 + 110i

c)

146

d)

121 - 25i²

8.

Simplify (by rationalizing): $\frac{10}{5-3i}$

a)

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

b)

$\frac{25+15i}{17}$

c)

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

d)

$\frac{10i}{3}$

9.

Simplify $\frac{9+4i}{-1-2i}$

a)

-16+12i/5

b)

9i-4/2

c)

-2+4i

d)

-17+14i/5

10.

What is the discriminant for 5x² + x − 2 = 0

a)

-39

b)

42

c)

-41

d)

none of these

11.

If the discriminant is equal to 0, how many solutions are there?

a)

No solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite solutions

12.

If the discriminant is equal to -2, how many solutions are there?

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

13.

Solve $x^2=\sqrt{-36}$

a)

$x=±6$

b)

$x=6i$

c)

$x=±6i$

d)

$x=i\sqrt{6}$

14.

Solve. x² = √-45

a)

x = ± 3√5

b)

x = 9i√5

c)

x = ± 9√5

d)

x = ± 3i√5

15.

Solve. x² +12 = 5

a)

x = ± 49

b)

x = ± i√7

c)

x = ± √7

d)

x = ± 3.5i

16.

Solve. x²-6x +2 = 0

a)

3+√7 &

3-√7

b)

3/2+√7 &

3/2-√7

c)

-3+√-7

& -3-√-7

d)

-3+√7

& -3-√7

17.

Solve using the quadratic formula. f(x) = 2x²- 4x + 7

a)

(2±2i√10)/2

b)

(4±√40)/4

c)

(2±i√10)√/2

d)

(2±2i√40)/4

18.

Solve x² - 5x + 10 = 0

a)

(5 - i√15)/2 , (5 + i√15)/2

b)

(5 - √15)/2 , (5 + √15)/2

c)

(5 - i√65)/2 , (5 + i√65)/2

d)

(5 - √65)/2 , (5 + √65)/2

19.

Solve -2x² + 4x = 9

a)

(2 - i√14)/2 , (2 + i√14)/2

b)

(2 - i√-56)/2 , (2 + i√-56)/2

c)

(2 - i√-14)/2 , (2 + i√-14)/2

d)

(2 - √14)/2 , (2 + √14)/2

20.

Expand into standard form

(x+2i)(x-2i)

a)

x²-4

b)

x²+4

c)

x+2i²

d)

x²+2i²

21.

Write in factored form using the following roots.

7, -2i

a)

(x-7)(x-2i)

b)

(x-7)(x+2i)(x-2i)

c)

(x-7)(x+2i)

d)

(x-7)(x+7)(x-2i)

22.

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -2-5i is a root.

a)

-2-5i

b)

-2+5i

c)

2+5i

d)

5i

Complex Numbers (Operations, Zeros, Conjugates) - Prac Quiz

Total questions: 22

Worksheet time: 1hrs 19mins

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