SAT Math Multiple Choice Question 897: Answer and Explanation

Home > SAT Test > SAT Math Multiple Choice Practice Tests

Test Information

Question: 897


Which of the following is equivalent to the expression above?

  • A. 10
  • B.
  • C.
  • D.

Correct Answer: D



Difficulty: Medium

Category: Passport to Advanced Math / Exponents

Strategic Advice: Questions that involve "complex" fractions (fractions within fractions) require patience and strategy. Ignore the big "1 over" part initially. If you rewrite the messy denominator as a single fraction, then you can simply "flip it" to get the final answer.

Getting to the Answer: To combine the two terms in the denominator, find the least common denominator, (x - 4)(x + 6), and write each term as a fraction with that denominator. Then, simplify as needed by using FOIL and combining like terms:

Don't answer too quickly! You still need to take the reciprocal of the simplified expression to perform the final "1 over" part of the original expression, making (D) the correct answer.

Previous       Next