Question #d4d513ff - SAT Suite Question Bank

ID: d4d513ff

Modded SAT Question Bank by Abdullah Mallik

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

$12 left parenthesis 9 x plus 1 right parenthesis$
$27 left parenthesis 12 x plus 1 right parenthesis$
$3 left parenthesis 4 x plus 9 right parenthesis$
$3 left parenthesis 9 x plus 24 right parenthesis$

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Correct Answer: C

Rationale

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

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

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

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

Question Difficulty: Easy