# SAT Math Multiple Choice Practice Question 422: Answer and Explanation

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**Question: 422**

**5.** If the product of *x* and *y* is 76, and *x* is twice the square of *y*, which of the following pairs of equations could be used to determine the values of *x* and *y* ?

A. *xy* = 76*x* = 2*y*^{2}

B. *xy* = 76*x* = (2*y*)^{2}

C. *x* + *y* = 76*x* = 4*y*^{2}

D. *x* + *y* = 76*x* = 4*y*

E. *xy* = 76*x* = 2*y*

**Correct Answer:** A

**Explanation:**

**A** Translate each statement, piece by piece. The first part tells us that " the product of *x* and *y* is 76." Since *product* means multiplication, then the first equation must be *xy* = 76, so you can eliminate answers C and D. The second part says that "*x* is twice the square of *y*," which translates to *x* = 2*y*^{2}, so eliminate answers B and E, and A is the only answer left. Notice that only the *y* needs to be squared, which is why B is wrong. The second equation for B would be written as "the square of twice *y*," which is not what the problem stated.