Free Printable Complex Variables

1.

i⁷

a)

i

b)

-i

c)

1

d)

-1

2.

Simplify:
(3 + 2i) + (4i + 6)

a)

9 + 6i

b)

7i + 8

c)

9 + 6i²

d)

9 - 6i

3.

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

a)

1 + 5i

b)

7 + 9i

c)

1 + 9i

d)

-1 + 5i

4.

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

a)

22 - 7i

b)

22 + 7i

c)

22 - 7i²

d)

22 + 7i²

5.

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

6.

a)

10

b)

-10

c)

10i

d)

-10i

7.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

8.

(-3-i)(6-i)

a)

-21-7i

b)

-19-3i

c)

-15-5i

d)

-17-9i

9.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

10.

(-7+6i)²

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

11.

Convert the rectangular coordinate (0, -3) to polar coordinates.

a)

(3, -270^o)

b)

(3, 270^o)

c)

(-3, 270^o)

d)

Not Possible

12.

Find modulus of z:

$z=1+3i$

a)

$\sqrt{10}$

b)

$9-i$

c)

$\sqrt{7}$

d)

$4$

13.

Calculate the value of modulus for $-4+3i$

a)

$-5$

b)

$5$

c)

$5i$

d)

$-5i$

14.

$Express\ \frac{i}{1+i}\ in\ \ a+ib\ \ form\$

a)

$\frac{1}{2}\ +\ \frac{1}{2}i$

b)

$1+i$

c)

$\frac{1}{2}\ +\ i$

d)

$\frac{1}{2}\ -\ \frac{i}{2}$

15.

$If\ Z_{1\ }=\ 2-i\ and\ Z\ _2\ =\ -2+i\ ,\ then\ Im\left(\frac{Z_1.Z_2}{Z_1}\right)$

a)

$2-i$

b)

$i-2$

c)

$-3+4i$

d)

$1-i$

Complex Variables

Total questions: 15

Worksheet time: 23mins

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