Which expression is equivalent to 12 x + 27 ?

The correct answer is C. 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.

SAT Question d4d513ff: Answer, Explanation & Desmos Solution

Choice A

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

Choice B

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

Choice D

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

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question d4d513ff: Equivalent Expressions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong