Simplifying Polynomials - SAT Math

Card 0 of 11

Question

Choose the answer which best simplifies the following expression:

Answer

To solve this problem simply remove the parentheses and add the like terms:

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Question

Choose the answer which best simplifies the following expression:

Answer

To solve this problem simply remove the parentheses and add the like terms:

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Question

Choose the answer which best simplifies the following expression:

Answer

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

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Question

Choose the answer that best simplifies the following expression:

Answer

To simplify, remove parentheses and combine like terms:

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Question

Choose the answer that best simplifies the following expression:

Answer

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:

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Question

Choose the answer that best simplifies the following expression:

Answer

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:

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Question

Choose the answer that best simplifies the following expression:

Answer

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:

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Question

Simplify the following expression:

Answer

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:

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Question

Simplify the following expression:

Answer

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:

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Question

Choose the answer that best simplifies the following expression:

Answer

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:

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Question

Which of the following is equivalent to the expression ?

Answer

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:

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