1.

The Correct Answer is (C) — We know that , so the correct answer choice is (C).

2.

The Correct Answer is (C) — As with most “ NOT” or “ EXCEPT” questions, we have to test every answer. We know that so A is okay. so we know choice B is okay, too. and we know this is not equal to so we know C is the only one that is not true.

3.

The Correct Answer is (B) — We can solve this problem by adding like terms, which means adding the integers and imaginary numbers separately: (8+2i) + (2+8i) = 8 +2 +2i +8i = 10 + 10i. The correct answer choice is (B).

4.

The Correct Answer is (B) — In order to solve this problem, we need to first simplify the numerator by turning it into imaginary number form: . Divide this number by 2i, and recall from the question that 5= 3w Divide both sides by 3 to get, and we have our answer: w= 5/3. The correct answer choice is B.

5.

The Correct Answer is (D) — We can solve this problem by simply plugging in the provided values into corresponding variables: The correct answer choice is D.

6.

The Correct Answer is (A) — Use the values given in the question to solve the equation for Z:

The only answer choice that is not equal to -1 is A because

7.

The Correct Answer is (A) — We can solve this problem by first foiling the left side of the equation: We know this equals , choice A.

8.

The Correct Answer is (4) — In order to solve this problem, we need to first simplify the left side of the equation: (49 - 2i) - (48 - i) = 1 - i. Now, we can solve for x: 1 - i = (x -4i)/4, therefore 4 - 4i = x - 4i, therefore 4 = x.

9.

The Correct Answer is (1) — We can solve this problem by foiling the left side of the equation and then solving for x: (1 + i)(1- i) = 2 = 2x, therefore x = 1.

10.

The Correct Answer is (24) — We can solve this problem by simply foiling the equation provided: .