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Imaginary and Complex Numbers Quiz

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

What does i2 = ?

a)

-1

b)

1\sqrt{-1}

c)

1

d)

1-\sqrt{1}

2.

Simplify the following. 49-\sqrt{-49}  

a)

7

b)

-7

c)

7i

d)

-7i

3.

Simplify the following.  54\sqrt{-54}  

a)

  3i63i\sqrt{6}  

b)

 36-3\sqrt{6}  

c)

 14i1314i\sqrt{13}  

d)

 135-13\sqrt{5}  

4.

Multiply
 3i(2+4i)3i\left(-2+4i\right)  

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

5.

Simplify the following.
 36\sqrt{-36}  

a)

6

b)

-6

c)

-6i

d)

6i

6.
-4i + 7i
a)
3i
b)
11i
c)
-11i
d)
8 - 4i
7.
-7i - 7 + 5i
a)
-7 - 12i
b)
7 - 2i
c)
-7 + 12i
d)
-7 - 2i
8.
Calculate: 
-12i + 7i
a)
19i
b)
-19i
c)
5i
d)
-5i
9.
Calculate (multiply):
 (4 + 3i)(4 − 3i)
a)
16 − 9i2
b)
25
c)
7
d)
8 − 6i
10.
Calculate (multiply):
(1 − 2i)(6 + 5i)
a)
16 − 7i
b)
-16 + 7i
c)
-16 − 7i
d)
16 + 7i
11.

Simplify:  100\sqrt{-100}  

a)

10i

b)

-10i

c)

10

d)

-10

12.
(2i)(3i)
a)
5i
b)
-5
c)
6i2
d)
-6
13.

Simplify   45\sqrt{-45}  

a)

 3i53i\sqrt{5}  

b)

 3i5-3i\sqrt{5}  

c)

 i45-i\sqrt{45}  

d)

45i

14.

Simplify  2322\sqrt{-32}  

a)

 2i322i\sqrt{32}  

b)

 4i24i\sqrt{2}  

c)

 8i28i\sqrt{2}  

d)

 16i2-16i\sqrt{2}  

15.
Simplify:
(-3i)(4i)(-5i)
a)
-60i
b)
60
c)
-60
d)
60i