SAT Math Multiple Choice Question 652: Answer and Explanation

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Question: 652

7. Images

If m, 0 and x 5 6 in the equation above, what is the value of m?

  • A. -13
  • B. -10
  • C. -7
  • D. -3

Correct Answer: C

Explanation:

C

Advanced Mathematics (rational equations) EASY-MEDIUM

Original equation:

Images

Substitute x = 6:

Images

Add 6:

Images

Square both sides:

m2 - 13 = 36

Add 13:

m2 = 49

Take the square root:

m = ±7

But since m < 0, m = -7.

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