SAT Math Multiple Choice Question 454: Answer and Explanation

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Test Information

Question: 454

4.

Which value of x satisfies the equation given above?

  • A.
  • B.
  • C. 2
  • D. 3

Correct Answer: D

Explanation:

D

Difficulty: Easy

Category: Passport to Advanced Math / Exponents

Strategic Advice: Don't let this rational equation intimidate you. Rather than finding a common denominator, move the 16 to the other side of the equation, write it over 1, and use cross-multiplication. Don't forget to check that your solution doesn't cause the denominator to be 0. If it does, then it's an invalid solution.

Getting to the Answer: After moving the 16, cross-multiply and then solve for x using inverse operations.

When substituted into the denominator of the original equation, 3 does not cause division by 0, so it is a valid solution.

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