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6道SAT2数学练习题目

  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

  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: Therefore, 4< x-y <6

  3.A bus travels the distance d from New York to Boston. t1 hours after the bus left 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) Therefore, 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。