6道SAT2数学练习题目.

　　下面为大家搜集整理的是6道SAT2数学练习题目的内容，后面都附有详细的答案解析。SAT2数学题是大家在备考SAT2数学考试的时候，一定要做的，这样才能更好的了解数学考试的出题方式。一起来看看详细内容吧，看看这些题目有哪些特点。

　　1.What is the closest approximation of the solution of the equation 2x - 1 = 3x + 1?

　　(a) -4.42

　　(b) -5.81

　　(c) -3.22

　　(d) 4.93

　　(e) 3.33

　　Explanation：

　　log(2x - 1) = log(3x + 1) (x - 1)log2 = (x + 1)log3 x(log2 - log3) = log3 + log2 x = (log3 + log2)/(log2 - log3) x is aprox. = -4.418

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　　2. What is the range of (x - y) if 3 < x < 4 and -2 < y< -1?

　　(a) 4< x-y <5

　　(b) 1< x-y <3

　　(c) 1< x-y <5

　　(d) 4< x-y <6

　　(e) 3< x-y <6

　　Explanation：

　　We can determine the range of -y: 1 < -y < 2

　　We determine the range of x-y by adding the ranges of x and -y: Therore, 4< x-y <6

　　3.A bus travels the distance d from New York to Boston. t1 hours after the bus lt New York, a car starts to travel the same distance d from New York to Boston. Both vehicles reach Boston at the same time. Find an expression for d as a function of t1, the speed of the bus v1 and the speed of the car v2.

　　(a) d = v1t1/(v2 - v1)

　　(b) d = v1v2t1/(v2 - v1)

　　(c) d = v1t1/(v2 + v1)

　　(d) d = v1v2t1/(v2 + v1)

　　(e) d = v1v2t1

　　Explanation：

　　If t is the duration of the travel of the bus, d = v1t d = v2(t - t1) Therore, v1t = v2(t - t1) t = v2t1 / (v2 - v1) d = v1v2t1 / (v2 - v1)

　　4.Find the value of x if: x + y + z = 5 x + y - z = 3 x - y = 2

　　(a) -3

　　(b) -1

　　(c) 1

　　(d) 3

　　(e) 5

　　Explanation：

　　We notice that if we add equations 1 and 2 we can eliminate z: x + y + z + x + y - z = 5 + 3 2·(x + y) = 8 x + y = 4 At this point we have a system of 2 linear equations with 2 variables, x and y: x - y = 2 x + y = 4 If we add these 2 equations, we get 2·x = 6 and x = 3.

　　5.A camera has a price of 300 dollars. Its price is lowered 10% and then increased 10%. What is the final selling price of the camera?

　　(a) $297

　　(b) $303

　　(c) $310

　　(d) $330

　　(e) $303

　　Explanation：

　　After it is lowered by 10%, the price is $300 - $30 = $270. A 10% increase of a $270 price is $27, so the final price is $270 + $27 = $297.

　　6.The equation 2x2 - 2x - 60 = 0 has the following 2 solutions:

　　(a) {-5, 5}

　　(b) {5, -6}

　　(c) {-5, -6}

　　(d) {-5, 6}

　　(e) {5, 6}

　　Explanation：

　　2x2 - 2x - 60 = 0 x2 - x - 30 = 0 The sum of the solutions is 1 and the product is -30 so the solutions are {-5, 6}

　　以上就是这6道SAT2数学练习题目的全部内容，难度不是很大，都是代数方面的题目。大家在备考SAT2数学考试的是，如果能够把记忆词汇和练习题目结合到一起，就可以非常好理解题目的含义并且进行应对了。

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