6道SAT数学选择题练习.

　　下面是为大家准备的2014年2月15日—2014年2月21日的6道SAT考试数学选择题练习题。同学们在备考SAT数学的过程中，一定要加强习题的练习，熟练到能充分理解题意，争取得到满分。

　　1.A manager estimates that if the company chargesdollars for their new product, where, then the revenue from the product will bedollars each week. According to this model, for which of the following values ofwould the company’s weekly revenue for the product be the greatest?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　2.First,is subtracted fromand the square root of the difference is taken. Then,is added to the result, giving a final result of. What is the value of?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　3.Ifismore than, then

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　4.Ifis the set of positive integers that are multiples of, and ifis the set of positive integers that are multiples of, how many integers are in the intersection ofand?

　　(A) None

　　(B) One

　　(C) Seven

　　(D) Thirteen

　　(E) More than thirteen

　　　5.

　　Which of the following statements must be true of the lengths of the segments on lineabove?

　　.

　　.

　　.

　　(A)only

　　(B)only

　　(C)only

　　(D)andonly

　　(E),, and

　　6.A florist buys roses ata piece and sells them fora piece. If there are no other expenses, how many roses must be sold in order to make a profit of?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　参考答案及解析：

　　1.The correct answer is D

　　Explanation

　　The graph ofis a downward-facing parabola that intersects the-axis atand at. Parabolas are symmetric, so the maximum value ofoccurs at, which is halfway betweenand. (When, the value ofis.)

　　2.The correct answer is E

　　Explanation

　　Whenis subtracted from, the result is. The square root of this difference is. Whenis added to, the final result is. This can be written as. Subtractingfrom both sides gives the equation. Squaring both sides of this equation gives, or.

　　3.The correct answer is D

　　Explanation

　　The statement given in words translates into the equation. This simplifies to. Then, and so.

　　It follows that.

　　4.The correct answer is E

　　Explanation

　　The intersection of setsandis the set of integers that are inand also in. Setconsists of all positive integers that are multiples of, and setconsists of all positive integers that are multiples of, so the intersection ofandis the set of positive integers that are multiples of bothand. This is the set of all positive integers that are multiples of. There are an infinite number of positive integers that are multiples of, so there are more than thirteen integers in the intersection ofand.

　　5.The correct answer is B

　　Explanation

　　Consider each statement separately. For example, consider statement,. From the figure, you can see that segmentis made up of the segments,, and. This tells you thatcannot equal, sincecannot equal zero. Statementis not true.

　　Consider statement,. Sinceis betweenand, it follows that. Sinceis betweenand, it follows that. Therore,. Since bothandequal, they are equal to each other. Statementis true.

　　Consider statement,. The lt side of the equation,, is equivalent to. The right side of the equation,, is equivalent to. Sincecannot equal zero,is not equal to. Statementis not true.

　　Statementis the only one that is true.

　　6.The correct answer is E

　　以上就是关于6道SAT考试数学选择题练习题及其答案和解析，非常详细。同学们在备考阶段，一定要加强习题的练习以及题意的理解，争取SAT数学满分。

　　下面是为大家准备的2014年2月15日—2014年2月21日的6道SAT考试数学选择题练习题。同学们在备考SAT数学的过程中，一定要加强习题的练习，熟练到能充分理解题意，争取得到满分。

　　1.A manager estimates that if the company chargesdollars for their new product, where, then the revenue from the product will bedollars each week. According to this model, for which of the following values ofwould the company’s weekly revenue for the product be the greatest?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　2.First,is subtracted fromand the square root of the difference is taken. Then,is added to the result, giving a final result of. What is the value of?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　3.Ifismore than, then

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　4.Ifis the set of positive integers that are multiples of, and ifis the set of positive integers that are multiples of, how many integers are in the intersection ofand?

　　(A) None

　　(B) One

　　(C) Seven

　　(D) Thirteen

　　(E) More than thirteen

　　　5.

　　Which of the following statements must be true of the lengths of the segments on lineabove?

　　.

　　.

　　.

　　(A)only

　　(B)only

　　(C)only

　　(D)andonly

　　(E),, and

　　6.A florist buys roses ata piece and sells them fora piece. If there are no other expenses, how many roses must be sold in order to make a profit of?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

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