# Lesson Worksheet: Equating, Adding, and Subtracting Complex Numbers Mathematics

In this worksheet, we will practice equating, adding, and subtracting complex numbers.

Q1:

Simplify .

• A
• B
• C
• D

Q2:

If the complex numbers and are equal, what is the value of ?

Q3:

If the complex numbers and are equal, what are the values of and ?

• A,
• B,
• C,
• D,
• E,

Q4:

What is ?

• A
• B
• C
• D

Q5:

What is ?

• A
• B
• C
• D
• E

Q6:

Find the real values of and that satisfy the equation .

• A,
• B,
• C,
• D,

Q7:

Simplify .

• A
• B
• C
• D

Q8:

Find the real values of and that satisfy the equation .

• A,
• B,
• C,
• D,
• E,

Q9:

Simplify .

• A
• B
• C
• D

Q10:

Simplify .

• A
• B
• C
• D
• E

Q11:

Determine the real values of and that satisfy the equation .

• A,
• B,
• C,
• D,

Q12:

Determine the real values of and that satisfy the equation .

• A,
• B,
• C,
• D,

Q13:

Find the real values of and that satisfy the equation .

• A,
• B,
• C,
• D,

Q14:

Find the real values of and that satisfy the equation .

• A,
• B,
• C,
• D,

Q15:

Evaluate .

• A
• B
• C
• D
• E

Q16:

If and , find .

• A
• B
• C
• D
• E

Q17:

If and , find .

Q18:

If and , express in the form .

• A
• B
• C
• D
• E

Q19:

If and , find .

• A
• B
• C
• D
• E

Q20:

If and , what is the imaginary part of ?

Q21:

Add to .

• A
• B
• C
• D
• E

Q22:

Find the average of the complex numbers and .

Q23:

If , find .

• A
• B
• C
• D
• E

Q24:

Given that , where and are real numbers, find the value of and the value of .

• A,
• B,
• C,
• D,
• E,

Q25:

Given that , where and are real numbers, find all the possible values of and .

• A or
• B or
• C or
• D or
• E or

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