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新SAT数学练习题附答案解析(13)

2018-05-22 19:39:00来源:新东方在线论坛

  新SAT数学练习题解析

  5. -20 , -16 , -12 , -8 ....

  In the sequence above, each term after the first is 4 greater than the preceding term. Which of the following could not be a term in the sequence?

  A. 0

  B. 200

  C. 440

  D. 668

  E. 762

  6. If f(x) = x² – 3, where x is an integer, which of the following could be a value of f(x)?

  I 6

  II 0

  III -6

  5.Correct Answer: E

  Explanation:

  All terms in the sequence will be multiples of 4.

  762 is not a multiple of 4

  6.Correct Answer: A

  Explanation:

  Choice I is correct because f(x) = 6 when x=3

  Choice II is incorrect because to make f(x) = 0, x² would have to be 3. But 3 is not the square of an integer.

  Choice III is incorrect because to make f(x) = 0, x² would have to be –3 but squares cannot be negative.

  (The minimum value for x2 is zero; hence, the minimum value for f(x) = -3)

  A. I only

  B. I and II only

  C. II and III only

  D. I and III only

  E. I, II and III

  

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