SAT官方数学习题 8月19日

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SAT官方数学习题 8月19日
Read the following SAT test question, then click on a button to select your answer.
If x + y = 3 and xy = 5, then x2y2 =
A.     4
B.     8
C.     15
D.     16
E.     64

Correct Answer: C

  • Here's Why:

    Recall that x2y2 can be factored as (x + y)(xy). Since x + y = 3 and xy = 5, their product, x2y2, is (3)(5), or 15.

    Another method of solution is to solve the two
    equations x + y = 3 and xy = 5 simultaneously to get x = 4 and y = –1. Then x2y2 is 42 – (–1)2 = 16 – 1 = 15.

  • Difficulty: Medium
  • Question Type: Standard Multiple Choice