SAT II Math II : Real and Complex Numbers

Study concepts, example questions & explanations for SAT II Math II

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Example Questions

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Example Question #1 : Real And Complex Numbers

Multiply: 

Possible Answers:

None of the other responses is correct.

Correct answer:

None of the other responses is correct.

Explanation:

This is the product of a complex number and its complex conjugate. They can be multiplied using the pattern

with 

This is not among the given responses.

Example Question #2 : Real And Complex Numbers

Multiply: 

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

Example Question #3 : Real And Complex Numbers

Which of the following is equal to  ?

Possible Answers:

Correct answer:

Explanation:

To raise  to a power, divide the exponent by 4 and note the remainder.

Raise  to the power of that remainder:

Example Question #4 : Real And Complex Numbers

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Use the square of a sum pattern

where :

Example Question #11 : Number Theory

Multiply: 

Possible Answers:

Correct answer:

Explanation:

Apply the distributive property:

Example Question #1 : Real And Complex Numbers

Which of the following is equal to  ?

Possible Answers:

Correct answer:

Explanation:

By the power of a product property, 

Example Question #1 : Real And Complex Numbers

Multiply:

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method:

Example Question #1 : Real And Complex Numbers

Which of the following is equal to ?

Possible Answers:

Correct answer:

Explanation:

To raise  to a power, divide the exponent by 4 and note the remainder.

Raise  to the power of that remainder: 

Example Question #1 : Real And Complex Numbers

Multiply:

Possible Answers:

Correct answer:

Explanation:

Apply the distributive property:

Example Question #2 : Real And Complex Numbers

Multiply: 

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

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