5道SAT2数学题目(level 2).

　　下面为大家整理的是SAT2数学题目中关于level 2的部分，共5道，后面都附有详细的答案解析。SAT2数学考试题目相对于SAT数学还是有一些难度的，尤其是在level 2部分，需要大家格外注意练习。下面一起来看看详细内容吧。

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　　1.Solve for x in the following equation: x2 – 10x + 10 = 0.

　　(a) -5 +/- sqrt(15)

　　(b) 5 +/- sqrt(15)

　　(c) 5

　　(d) -5

　　(d) 5 +/- sqrt(5)

　　2.If log(x) = 2 and log(y) = 5, what is log(x2y3)?

　　(a) 11

　　(b) 15

　　(c) 17

　　(d) 19

　　(e) 29

　　3.What is the greatest common factor of 17 and 81?

　　(a) 1

　　(b) 17

　　(c) 3

　　(d) 9

　　(e) 27

　　4.In the (x,y) plane, which of the following statements are true?

　　I. Line y + x = 5 is perpendicular to line y - x = 5. II. Lines y + x = 5 and y - x = 5 intersect each other on the y axis. III. Lines y + x = 5 and y - x = 5 intersect each other on the x axis.

　　(a) I is the only true statement

　　(b) II is the only true statement

　　(c) I and II are both true

　　(d) I and III are both true

　　(e) II and III are both true

　　5.Find the domain of the function f(x) = √( -x) / [(x - 2)(x + 2)]:

　　(a) (-∞ , -2) U ( -2 , 0)

　　(b) (-∞ , -2) U ( -2 , 0]

　　(c) (-∞ , 2) U ( 2 , 0]

　　(d) (-∞ , 2) U ( 2 , 0)

　　(e) (-∞ , -2) U ( -2 , 2)

　　Explanation：

　　1. x = (10 +/- sqrt(100 - 40))/2 x = 5 +/- sqrt(15)

　　2.log(x2y3) = log(x2) + log(y3) = 2log(x) + 3log(y) = 4 + 15 = 19

　　3.17 = 17·1 81 = 3·3·3·3·1 The correct answer is (a).

　　4.y + x = 5 can be written as y = -x + 5. The slope of this equation is m1 = -1. y - x = 5 can be written as y = x + 5. The slope of this equation is m2 = 1. m2 = -1/m1 so the 2 lines are perpendicular. We also need to find where the 2 lines intersect. If we add the 2 equations, 2·y = 10, y = 5 From the first equation, x = 5 - y = 5 - 5 = 0. In conclusion the lines intersect at (0, 5) and this point is on the y axis. In conclusion I and II statements are correct.

　　5.From the numerator of the fraction, -x should be positive or equal to zero, so x<=0. x cannot take the values x = 2 and x = -2, so the domain of the function is (-∞ , -2) U ( -2 , 0]

　　以上就是这5道SAT2数学题目的全部内容，非常详细。SAT2数学考试练习题目一般并不是很多，所以需要大家在练习的时候，更多的把握其中的解题方法等内容。

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