# Worksheet: Equating, Adding, and Subtracting Complex Numbers

Q1:

What is ?

• A
• B
• C
• D

Q2:

Simplify .

• A
• B
• C
• D

Q3:

Find the real values of and that satisfy the equation .

• A ,
• B ,
• C ,
• D ,

Q4:

Find the real values of and that satisfy the equation .

• A ,
• B ,
• C ,
• D ,

Q5:

Find the real values of and that satisfy the equation .

• A ,
• B ,
• C ,
• D ,

Q6:

What is ?

• A
• B
• C
• D
• E

Q7:

What is ?

• A
• B
• C
• D
• E

Q8:

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

Q9:

Find the real values of and that satisfy the equation .

• A ,
• B ,
• C ,
• D ,

Q10:

Simplify .

• A
• B
• C
• D
• E

Q11:

Simplify .

• A
• B
• C
• D
• E

Q12:

Simplify .

• A
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• D
• E

Q13:

Evaluate .

• A
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• E

Q14:

Find the real values of and that satisfy the equation .

• A ,
• B ,
• C ,
• D ,
• E ,

Q15:

Find the real values of and that satisfy the equation .

• A ,
• B ,
• C ,
• D ,
• E ,

Q16:

Simplify .

• A
• B
• C
• D

Q17:

Simplify .

• A
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• C
• D

Q18:

Simplify .

• A
• B
• C
• D

Q19:

If and , find .

• A
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• C
• D
• E

Q20:

Given that and , determine the principal argument of .

• A
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• C
• D

Q21:

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

• A ,
• B ,
• C ,
• D ,
• E ,

Q22:

Find the real values of and that satisfy the equation .

• A ,
• B ,
• C ,
• D ,

Q23:

Determine the real values of and that satisfy the equation .

• A ,
• B ,
• C ,
• D ,

Q24:

If and , find .

• A14
• B3
• C1
• D
• E47

Q25:

Determine the real values of and that satisfy the equation .

• A ,
• B ,
• C ,
• D ,