Exam 2 Review Worksheet - Equations, Linear Inequalities, Absolute Value Page 3

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Chapter 1, Section 4
Do you know:
1. What the standard form is for a complex number?
2. Do negative numbers have square roots? Explain.
3. Is it possible to square an imaginary number and get a real number? Explain.
4. What is the conjugate of a complex number?
5. How do we use conjugates?
6. Which statement is false, and which is true? Justify your response.
(A) Every real number is a complex number.
(B) Every complex number is a real number.
7. Is it possible to add a real number and an imaginary number? If so, what kind of number is the
result?
Practice Problems:
1. For each number find the (A) real part, (B) imaginary part, and (C) conjugate.
(a)
(b)
(c)
(d)
2. For the following, perform the indicated operation and write your answer in standard form.
(a)
(b)
(c)
(d)
3. For the following, evaluate and express results in standard form.
(a)
(b)
(c)

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