SAT Math Multiple Choice Question 894: Answer and Explanation

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Test Information

Question: 894

9. If yz, then

  • A. -x
  • B. -1
  • C. 1
  • D. x

Correct Answer: A

Explanation:

A

Difficulty: Easy

Category: Passport to Advanced Math / Exponents

Strategic Advice: Whenever you need to simplify a fraction that involves binomials, your first thought should be: factor!

Getting to the Answer: Because x is in both terms of the numerator, factor out x to get:

Next, rewrite (z - y) as -1(y - z) to get:

The numerator and denominator now share a common factor, y - z, which can be cancelled:

The result matches (A).

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