sat数学真题及答案解析（1）

很多学生们在备考SAT数学是都会选着刷题来提升自己，那么如何正确的刷题呢?今天新航道为大家准备了sat数学真题及解析，赶紧做起来吧！

1. 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

A. I only

B. I and II only

C. II and III only

D. I and III only

E. I, II and III

Correct Answer: A

解析:

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)

2. For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?

A. 48

B. 49

C. 50

D. 51

E. 52

Correct Answer: C

解析:

1 < 4n + 7 < 200. n can be 0. or -1. n cannot be -2 or any other negative integer or the expression 4n + 7 will be less than1. The largest value for n will be an integer < (200 - 7) /4. 193/4 = 48.25. hence 48. The number of integers between -1 and 48 inclusive is 50