Free Printable TEST COMPLEX NUMBERS

1.

Simplify the number by using the imaginary number i.

$\sqrt{-80}$

a)

$4i\sqrt{5}$

b)

$-2i\sqrt{10}$

c)

$8i\sqrt{5}$

d)

$-4i\sqrt{5}$

2.

Write the complex number in the form a+bi.

$5+\sqrt{-24}$

a)

$5-2i\ \sqrt[]{6}$

b)

$5+2i\ \sqrt[]{6}$

c)

$5+6i\ \sqrt[]{2}$

d)

$5+4i\ \sqrt[]{6}$

3.

Write the complex number in the form a+bi.

-\sqrt{-44}+7

a)

$-7+2i\sqrt{11}$

b)

$7-2i\sqrt{11}$

c)

$7-11i\sqrt{2}$

d)

$-7-11i\sqrt{2}$

4.

Find

$i^{6435}$

a)

1

b)

-1

c)

i

d)

-i

5.

Find

$i^{4781}$

a)

1

b)

-1

c)

i

d)

-i

6.

Find

$2\left(i^{555}\right)$

a)

2

b)

-2

c)

2i

d)

-2i

7.

What is the simplified form of (-9 + 5i) - (3 -2i)

a)

-12 + 7i

b)

-6 + 3i

c)

12 - 7i

d)

6 - 3i

8.

What is the simplifies form of (11 - 7i) - (-5 - 12i)

a)

6 - 19i

b)

16 + 5i

c)

16- 19i

d)

-6 -19i

9.

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

a)

-11- 2i

b)

5 + 14i

c)

-11 -10i

d)

-3 -8i

10.

What is the simplified form of (7 +3i)²?

a)

55+42i

b)

40 - 6i

c)

40 + 42i

d)

55 - 48i

11.

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

a)

20 - 27i

b)

12 - 7i

c)

8 + 12i

d)

20 - 27i²

12.

a)

b)

c)

d)

13.

Write the number in the form a+bi.

$\sqrt{-68}+8$

a)

$8+2i\sqrt{17}$

b)

$8+2i\sqrt{2}$

c)

$8+4i\sqrt{17}$

d)

$-8+2i\sqrt{1}$

14.

Write the number in the form a+bi.

-\sqrt{-50}-2

a)

$2-5i\sqrt{2}$

b)

$-2+5i\sqrt{2}$

c)

$-2-5i\sqrt{25}$

d)

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

15.

$i^{77}\ =$

a)

$-i$

b)

$i$

c)

1

d)

-1

16.

$\frac{\sqrt{-169}}{3}=$

a)

$\frac{13i}{3}$

b)

$\frac{13i\sqrt{2}}{3}$

c)

$-\frac{4i\sqrt{7}}{3}$

d)

$\frac{7i}{3}$

TEST COMPLEX NUMBERS

Total questions: 16

Worksheet time: 4hrs 0mins

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