# SAT Math Multiple Choice Question 907: Answer and Explanation

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**Question: 907**

**7.** If the expressionis rewritten in the form, which of the following gives *A* in terms of *x*?

- A.
- B.
- C.
- D.

**Correct Answer:** B

**Explanation:**

**B**

**Difficulty:** Hard

**Category:** Passport to Advanced Math / Exponents

**Strategic Advice:** When a question involves *equivalent expressions*, compare how the original expression looks to how the desired result looks. Here, the original numerator has a higher power than the denominator, but the desired result doesn't. This is a clue that you need to divide.

**Getting to the Answer:** Set up the fraction as a long division problem and divide. Don't forget that anything left over at the end is the remainder and is written over the original denominator:

Next, compare the result to the desired expression. Because the remainder 4 matches the numerator in the fraction part of the expression, *A* must be the quotient 3*x* + 2. Choice (B) is correct.