Complex Numbers - Chino Valley Unified School District

3-2 Complex Numbers

Simplify.

5.

1.

SOLUTION:

SOLUTION:

6.

2.

SOLUTION:

SOLUTION:

Solve each equation.

3. (4i)(¨C3i)

7.

SOLUTION:

SOLUTION:

4.

SOLUTION:

8.

SOLUTION:

5.

SOLUTION:

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Page 1

Find the values of a and b that make each

equation true.

3-2 Complex Numbers

Simplify.

8.

11. (¨C1 + 5i) + (¨C2 ¨C 3i)

SOLUTION:

SOLUTION:

12. (7 + 4i) ¨C (1 + 2i)

SOLUTION:

Find the values of a and b that make each

equation true.

9. 3a + (4b + 2)i = 9 ¨C 6i

SOLUTION:

Set the real parts equal to each other.

13. (6 ¨C 8i)(9 + 2i)

SOLUTION:

Set the imaginary parts equal to each other.

10. 4b ¨C 5 + (¨Ca ¨C 3)i = 7 ¨C 8i

SOLUTION:

Set the real parts equal to each other.

14. (3 + 2i)(¨C2 + 4i)

SOLUTION:

Set the imaginary parts equal to each other.

Simplify.

11. (¨C1 + 5i) + (¨C2 ¨C 3i)

SOLUTION:

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15.

SOLUTION:

Page 2

3-2 Complex Numbers

17. ELECTRICITY The current in one part of a series

circuit is 5 ¨C 3j amps. The current in another part of

the circuit is 7 + 9j amps. Add these complex

numbers to find the total current in the circuit.

15.

SOLUTION:

SOLUTION:

CCSS STRUCTURE Simplify.

18.

SOLUTION:

19.

16.

SOLUTION:

SOLUTION:

20.

SOLUTION:

21.

17. ELECTRICITY The current in one part of a series

circuit is 5 ¨C 3j amps. The current in another part of

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the circuit

7 + 9j amps.

Add these complex

numbers to find the total current in the circuit.

SOLUTION:

Page 3

3-2 Complex Numbers

25

21.

25. i

SOLUTION:

SOLUTION:

22. (¨C3i)(¨C7i)(2i)

26. (10 ¨C 7i) + (6 + 9i)

SOLUTION:

SOLUTION:

2

27. (¨C3 + i) + (¨C4 ¨C i)

SOLUTION:

SOLUTION:

23. 4i(¨C6i)

28. (12 + 5i) ¨C (9 ¨C 2i)

11

24. i

SOLUTION:

SOLUTION:

29. (11 ¨C 8i) ¨C (2 ¨C 8i)

SOLUTION:

25

25. i

SOLUTION:

30. (1 + 2i)(1 ¨C 2i)

SOLUTION:

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26. (10 ¨C 7i) + (6 + 9i)

Page 4

SOLUTION:

3-2 Complex Numbers

30. (1 + 2i)(1 ¨C 2i)

34.

SOLUTION:

SOLUTION:

31. (3 + 5i)(5 ¨C 3i)

SOLUTION:

32. (4 ¨C i)(6 ¨C 6i)

35.

SOLUTION:

SOLUTION:

33.

SOLUTION:

Solve each equation.

36.

SOLUTION:

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34.

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