SAT Math Multiple Choice Question 683: Answer and Explanation

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Question: 683

8. If the expression Images is equivalent to the expression Images for all values of n, what is the value of k?

  • A. -12
  • B. -6
  • C. 6
  • D. 12

Correct Answer: D

Explanation:

D

Advanced Mathematics (rational equations) HARD

Given equation:

Images

Add Images:

Images

Combine the fractions into one:

Images

Multiply by n2 + 3:

n2 - 9 + k = n2 + 3

Subtract n2 :

-9 + k = 3

Add 9:

k = 12

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