# SAT Math Multiple Choice Question 92: Answer and Explanation

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**Question: 92**

**2.** If , which of the following could be an expression of C in terms of x ?

- A. 3(1 + x)
- B. x
^{2}+ 2x - 24 - C. (x + 6)(x - 4)
- D. (x - 3)(x + 8)

**Correct Answer:** C

**Explanation:**

C Cross-multiply to get 3(C + x) = (x - 3)(x + 8). Expand the right side of the equation to get 3(C + x) = x^{2} + 5x - 24. Distribute the 3 to get 3C + 3x = x^{2} + 5x - 24. Subtract 3x from both sides of the equation to get 3C = x^{2} + 2x - 24. Factor the right side of the equation to get 3C = (x + 6)(x - 4). Divide both sides by 3 to get C = = (x + 6)(x - 4). The correct answer is (C).