SAT数学练习题

下面为大家整理和推荐的是五道SAT2数学练习题的内容,题目后面附有详细的答案解析。对于中国考生来说,SAT2数学考试的难度不大,很多考生都是奔着满分而去的,这就需要大家在平时的备考中花费一些时间来练习相关的题目了。更多SAT备考资料请点击


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]


以上就是这五道SAT2文学练习题的全部内容,从形式上我们可以看到,这个部分和SAT数学考试的内容差不多,但是大家需要注意的是,SAT2数学考试的题目稍微难一些,这一点在大家解题的过程中一定要有所了解。