Question which-

2.4 Equivalent Expressions - Simplifying polynomials
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Which expression is equivalent to 12 x + 27 ?

A.

34x+9

B.

39x+24

C.

129x+1

D.

2712x+1

Which expression is equivalent to 12 x + 27 ?

Easy-difficulty · SAT Math · Equivalent Expressions — Simplifying polynomials. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

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 34x+39, or 34x+9. Thus, the expression 34x+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 .