下面为大家推荐的是三道
Read the following SAT test question and then click on a button to select your answer.
1.If a number is chosen at random from the set, what is the probability that it is a member of the solution set of both and ?
Answer Choices
(A)
(B)
(C)
(D)
(E)
2.The projected sales volume of a video game cartridge is given by the function where is the number of cartridges sold, in thousands; is the price per cartridge, in dollars; and is a constant. If according to the projections, cartridges are sold at per cartridge, how many cartridges will be sold at per cartridge?
Answer Choices
(A)
(B)
(C)
(D)
(E)
3.If the graph of the function in the -plane contains the points , , and , which of the following CANNOT be true?
Answer Choices
(A) The graph of has a maximum value.
(B) for all points on the graph of .
(C) The graph of is symmetric with respect to a line.
(D) The graph of is a line.
(E) The graph of is a parabola.
Explanation
1.The correct answer is C
Ifand , then . The numbers from the listed set that satisfy these inequalities are and . There are five elements in the listed set, so the probability of a number chosen at random from the set being a member of the solution set of both inequalities is .
2.The correct answer is C
For cartridges sold at per cartridge, (since is the number of cartridges sold, in thousands) and . Substituting into the equation yields.
Solving this equation for yields
Since is a constant, the function can be written as . To determine how many cartridges will be sold at per cartridge, you need to evaluate . Since is given in thousands, there will be cartridges sold at per cartridge.
3.The correct answer is D
If the graph of the function , which contains the points , , and , were a line, then the slope of the segment connecting the points and would be the same as the slope of the segment connecting the points and . However, the slope of the segment connecting the points and is , and the slope of the segment connecting the points and is . Therefore, the graph of cannot be a line.
The statements in the other four options could be true. For example, if the equation of were , then the graph of would contain the points , , and . The graph of would be a parabola symmetric with respect to the line with equation . The maximum value of would occur at the point , and would be true for all points on the graph of .
以上就是这三道SAT数学练习题目的全部内容，非常详细。大家可以在备考自己的SAT数学考试的时候，对此加以适当的参考和借鉴。
