OPERATIONS WITH COMPLEX NUMBERS WORKSHEET

Evaluate the expression and write your answer in the form a + bi.

Problem 1 :

(5 - 6i) + (3 + 2i)

Solution

Problem 2 :

4-12i-9+52i

Solution

Problem 3 :

(2 + 5i)(4 - i)

Solution

Problem 4 :

(1 - 2i)(8 - 3i)

Solution

Problem 5 :

12+7i

Solution

Problem 6 :

2i12-i

Solution

Problem 7 :

1+4i3+2i

Solution

Problem 8 :

3+2i1-4i

Solution

Problem 9 :

11+i

Solution

Problem 10 :

34-3i

Solution

Problem 11 :

i3

Solution

Problem 12 :

i100

Solution

Problem 13 :

√-25

Solution

Problem 14 :

√-3√-12

Solution

Answer Key

1)  8 - 4i

2)  -5-3i

3)  13 + 18i

4)  2 - 19i

5)  12 - 7i

6)  2i(1/2 + i)

7)  (11/13) + (10/13) i

8)  (-5/17) + (14/17)i

9)  1/2 - (1/2) i

10)  12/25 + (9/25)i

11) i

12)  1

13)  5i

14)  -6

Simplify :

Problem 1 :

(-3 + 4i) + (-4 + 7i)

Solution

Problem 2 :

(3 - 6i) + (7 + 3i)

Solution

Problem 3 :

(3 + 8i) + (1 - i)

Solution

Problem 4 :

(4 - 4i) + (-4 + 6i)

Solution

Problem 5 :

-6i + (3i) - (-7 - 8i)

Solution

Problem 6 :

(-5 - 3i) - (8 + i)

Solution

Problem 7 :

(8 - 5i) - (-4 - 3i)

Solution

Problem 8 :

-4 + (7i) - (1 - 5i)

Solution

Problem 9 :

(-6 – 6i) – (2 – 2i)

Solution

Problem 10 :

(-3i) – (-5 + 7i) + i

Solution

Problem 11 :

(8i) (-6i) (-3i)

Solution

Problem 12 :

(2i) (3i) (-6i)

Solution

Answer Key

1)  -7 + 11i

2)  10 - 3i

3)  4 + 7i

4)  2i

5)  5i + 7

6)  -13 – 4i

7)  12 – 2i

8)   -5 + 12i

9)  -8 – 4i

10)  -9i + 5

11)   -144 i

12)  36i

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