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Arithmetic of Complex Numbers
(Add, Subtract, Multiply)
MathBitsNotebook.com

Topical Outline | Algebra 2 Outline | MathBits' Teacher Resources

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Practice Page
Directions: Choose the best answers.

1.
Find the sum of (5 - 3i) and the conjugate of
(3 + 2i).

cartoonhead2
Choose:
 
8 - 5i
8 + 5i
 
2 - 5i
2 + 5i



2.
If 5 - 4i = (2 + xi) + (3 + 2i), what is the value of x?

cartoonhead3
Choose:
 
-2
2
 
-6
6



3.
Subtract (3 - 2i) from (-2 + 3i).
cartoonhead4

Choose:
 
1 - i
5 - 5i
 
-5 + i
-5 + 5i



4.
Find the sum of (2 - 2i) and (-3 + 4i).

cartoonhead5
Choose:
 
-1 + 6i
-1 + 2i
 
5 + 6i
-1 - 2i



5.
What is the product of (6 - 2i) and i ?

cartoonhead8
Choose:
 
-2 + 6i
2 + 6i
 
6 - 2i
8



6.
Which choice is equivalent to
(i3 - 1)(i3 + 1) ?

cartoonhead7
Choose:
 
-2
2i - 1
 
2i + 1
-2i



7.
If (-3 - 2i) is multiplied by its conjugate, which choice represents the result?

cartoonhead1
Choose:
 
-13
-5
 
13
5



8.
Multiply: (4 + 2i) • (-2 - i) • (3 - 5i)
cartoonhead6
Choose:
 
-6 - 8i
-18 + 30i
 
32 + 6i
-58 + 6i



9.
Which choice is equivalent to (2 + i)2 ?
cartoonhead12
Choose:
 
3
5
 
3 + 4i
5 + 4i




10.
(1 - 2i) • (2 + 3i) = ?

cartoonhead10
Choose:
 
8
-4
 
8 - i
-4 - i

 

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