# SAT Math Multiple Choice Practice Question 557: Answer and Explanation

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**Question: 557**

**14.** Which of the following is equal to 3*x* + 9*y* +12 ?

A. 3(*x* + 3*y* + 9)

B. 3(*x* + 3*y*) + 12

C. 3(*x* + 3*y*) + 4

D. 3(*x* + 6*y* + 9)

E. 3*x*(3*y* + 4)

**Correct Answer:** B

**Explanation:**

**B** Although all three parts of 3*x* + 9*y* + 12 are divisible by 3, the expression 3(*x* + 3*y* + 4) is not among the answers, so your best bet is to try each of the answers. A is out, because if 3 is factored out of the expression, The last number should be a 4, not a 9. Putting brackets around only part of the expression, such as (3*x* + 9*y*), does not change the value of the entire expression. Since (3*x* + 9*y*) +12 = 3(*x* + 3*y*) + 12, B is correct. You're done! There is no need to try out any further answer choices.