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Equivalent expressions SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

Which of the following is equivalent to 3 times, open parenthesis, x plus 5, close parenthesis, minus 6 ?

ExplanationShow

Choice C is correct. Using the distributive property to multiply 3 and open parenthesis, x plus 5, close parenthesis gives 3 x plus 15, minus 6, which can be rewritten as 3 x plus 9.

Choice A is incorrect and may result from rewriting the given expression as 3 times, open parenthesis, x plus 5, minus 6, close parenthesis. Choice B is incorrect and may result from incorrectly rewriting the expression as open parenthesis, 3 x plus 5, close parenthesis, minus 6. Choice D is incorrect and may result from incorrectly rewriting the expression as 3 times 5 x, minus 6.

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