SAT Mathematics : SAT Math

Study concepts, example questions & explanations for SAT Mathematics

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Example Questions

Example Question #311 : Sat Math

Choose the answer which best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify, simply remove the parentheses and combine like terms:

Example Question #312 : Sat Math

Choose the answer that best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify, remove parentheses and combine like terms:

Example Question #313 : Sat Math

Choose the answer that best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify, remove parentheses and combine like terms, but make sure to distribute the negative across all terms in the second set of parentheses, changing the sign of each:

Then combine like terms:

 

Example Question #314 : Sat Math

Choose the answer that best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify, remove parentheses and combine like terms, remembering the ever-important step of applying the negative sign to each term within the second set of parentheses:

Example Question #315 : Sat Math

Choose the answer that best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify, remove parentheses and combine like terms, remembering to distribute the negative (by changing each sign) for the terms in the second set of parentheses:

Example Question #36 : Polynomials & Quadratics

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses.

Add like terms together:

 has no like terms.

Combine these terms into one expression to find the answer:

Example Question #316 : Sat Math

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify this expression you need to carefully remove the parentheses by distributing the negative sign across all terms in the second set of parentheses. To do this, just take the opposite of each of those signs. That gives you:

Then you can combine like terms:

Example Question #38 : Polynomials & Quadratics

Choose the answer that best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To solve this expression, you need to remove the parentheses, being careful to account for the negative prior to the second set of parentheses. To distribute that negative, take the opposite of each sign for that set of values. Then, combine like terms:

Example Question #317 : Sat Math

Which of the following is equivalent to the expression ?

Possible Answers:

Correct answer:

Explanation:

A look at the answer choices tells you that you need to simplify the expression to arrive at fewer terms. To simplify this expression, you need to remove the parentheses and combine like terms. Fortunately, the process is to add the two parentheses and there are no coefficients or negatives between them, so you can simply lift the parentheses entirely and then combine.  That leaves you with:

 

Example Question #1 : Functions

The function  is defined above. What is ?

Possible Answers:

30

40

20

50

Correct answer:

30

Explanation:

When you're given the definition of a function as you are here, , your job to calculate a function is to take the value in parentheses and plug that in for  wherever it appears in the definition. Here, qualitatively, you're being told "whatever  is, square it and then subtract  from that square."  That means that:

So:

And for  you'd have:

So:

This means that , so the correct answer is .

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