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Equivalent expressions SAT question

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

Which expression is equivalent to $12 x + 27$ ?

ExplanationShow

Choice C is correct. Each term in the given expression, $12 x + 27$ , has a common factor of $3$ . Therefore, the expression can be rewritten as $3 (4 x) + 3 (9)$ , or $3 (4 x + 9)$ . Thus, the expression $3 (4 x + 9)$ is equivalent to the given expression.

Choice A is incorrect. This expression is equivalent to $108 x + 12$ , not $12 x + 27$ .

Choice B is incorrect. This expression is equivalent to $324 x + 27$ , not $12 x + 27$ .

Choice D is incorrect. This expression is equivalent to $27 x + 72$ , not $12 x + 27$ .

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Equivalent expressions SAT question

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