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Adding Subtracting Imaginary and Complex Numbers

Total questions: 15

Worksheet time: 11mins

Name
Class
Date
1.

Another way to express −1\sqrt[]{-1}   is?

a)

1

b)

-1

c)

i

d)

0

2.
What does i2 =  ?
a)
1
b)
-1
c)
√-1
d)
√1
3.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

4.
Add/Subtract using the proper rules:
(7 + 2i) - (-12 - 4i)
a)
-5 - 2i
b)
19 - 2i
c)
-5 + 6i
d)
19 + 6i
5.

Add/Subtract using the proper rules: (3 + 2i) + (7 - 12i)

a)

10+10i

b)

10-10i

c)

10+14i

d)

4-10i

6.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
7.
Simplify: 
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
8.

What is  (3−5i)+(−4+7i)\left(3-5i\right)+\left(-4+7i\right)  ? 

a)

−1+2i-1+2i  

b)

7−12i7-12i  

c)

1+2i1+2i  

d)

−2+3i-2+3i  

9.

subtract:  (−5+3i)−(4+7i)\ \left(-5+3i\right)-\left(4+7i\right)  

a)

−1−4i-1-4i  

b)

−9−4i-9-4i  

c)

−1+4i-1+4i  

d)

−9+4i-9+4i  

10.

Add (1+i)+2+2i\left(1+i\right)+2+2i  

a)

5+3i5+3i  

b)

1+i1+i  

c)

3+3i3+3i  

d)

5+2i5+2i  

11.

Add (1+6i)+(5+7i)\left(1+6i\right)+\left(5+7i\right)  

a)

−6+i-6+i  

b)

4+i4+i  

c)

6+i6+i  

d)

6+13i6+13i  

12.

Subtract (−6+2i)−(7−i)\left(-6+2i\right)-\left(7-i\right)  

a)

−13−i-13-i  

b)

−10+i-10+i  

c)

−13+3i-13+3i  

d)

−7+i-7+i  

13.
Simplify.
a)
-5i
b)
5
c)
5i
d)
-5
14.

Simplify  −4\sqrt[]{-4}  

a)
2i
b)
-2i
c)
2
d)
4i
15.

Simplify  −81\sqrt[]{-81}  

a)
-√81
b)
-9i
c)
9i
d)
81i