High School Math : Algebra II

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 :Imaginary Numbers

Simplify the radical.

Possible Answers:

No solution

Correct answer:

Explanation:

First, factor the term in the radical.

Now, we can simplify.

Example Question #2 :Imaginary Numbers

Multiply:

Possible Answers:

Correct answer:

Explanation:

FOIL:

Example Question #3 :Imaginary Numbers

Multiply:

Possible Answers:

Correct answer:

Explanation:

Sinceandare conmplex conjugates, they can be multiplied according to the following pattern:

Example Question #4 :Imaginary Numbers

Multiply:

Possible Answers:

Correct answer:

Explanation:

Sinceandare conmplex conjugates, they can be multiplied according to the following pattern:

Example Question #5 :Imaginary Numbers

Evaluate:

Possible Answers:

Correct answer:

Explanation:

can be evaluated by dividingby 4 and noting the remainder. Since- that is, since dividing 45 by 4 yields remainder 1:

Example Question #6 :Imaginary Numbers

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Example Question #1 :Imaginary Numbers

What is the absolute value of

Possible Answers:

Correct answer:

Explanation:

The absolute value is a measure of the distance of a point from the origin. Using the pythagorean distance formula to calculate this distance.

Example Question #8 :Imaginary Numbers

Which of the following is equivalent to:

Possible Answers:

Correct answer:

Explanation:

Recall that.

Then, we have that.

Note that we used the power rule of exponents and the order of operations to simplify the exponent before multiplying by the coefficient.

Example Question #2 :Imaginary Numbers

Simplify the expression.

Possible Answers:

None of the other answer choices are correct.

Correct answer:

Explanation:

Combine like terms. Treatas if it were any other variable.

Substitute to eliminate.

Simplify.

Example Question #10 :Imaginary Numbers

Which of the following is equivalent to?

Possible Answers:

None of the other answer choices are correct.

Correct answer:

Explanation:

Recall the basic property of imaginary numbers,.

Keeping this in mind,.

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