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Worksheets

Complex Numbers Review

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

What does ii represent?

a)

 11  

b)

 −1-1  

c)

 1\sqrt{1}  

d)

 −1\sqrt{-1}  

2.

What is i2i^2 equal to?

a)

 11  

b)

 −1-1  

c)

 1\sqrt{1}  

d)

 −1\sqrt{-1}  

3.

What is 25\sqrt{25} ?

a)

 55  

b)

 −5-5  

c)

 5i5i  

d)

 −5i-5i  

4.

What is −25\sqrt{-25} ?

a)

 55  

b)

 −5-5  

c)

 5i5i  

d)

 −5i-5i  

5.

What is −−25-\sqrt{-25} ?

a)

 55  

b)

 −5-5  

c)

 5i5i  

d)

 −5i-5i  

6.

Simplify: (6−3i)+(−1−4i)\left(6-3i\right)+\left(-1-4i\right)  

a)

 5−7i5-7i  

b)

 5−i5-i  

c)

 5+i5+i  

d)

 5+7i5+7i  

7.

What can you add to 3+2i3+2i to get 7−8i7-8i ? 

a)

 10−6i10-6i  

b)

 10−10i10-10i  

c)

 4−10i4-10i  

d)

 −4+10i-4+10i  

8.

Which point represents −2+4i-2+4i ?

a)

A

b)

B

c)

C

d)

D

9.

Which complex number is represented by the point?

a)

4+3i4+3i

b)

−4+3i-4+3i

c)

3+4i3+4i

d)

3−4i3-4i

10.

Which complex numbers are being multiplied here?

a)

4+2i4+2i and 2+5i2+5i

b)

4+2i4+2i and −2+5i-2+5i

c)

−2+2i-2+2i and 4+5i4+5i

d)

22 and 7i7i

11.

How can we simplify 10i210i^2 ?

a)

 10i10i  

b)

 −10i-10i  

c)

 10(−1)10\left(-1\right) , which is  −10-10  

d)

 10(−1)210\left(-1\right)^2 , which is  1010  

12.

Based on the completed work, what is (4+2i)(−2+5i)\left(4+2i\right)\left(-2+5i\right) ?

a)

 −18+16i-18+16i  

b)

 18+16i18+16i  

c)

 −18+24i-18+24i  

d)

 18+24i18+24i