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新sat数学练习题附答案解析（十七）

2023-09-06 17:38:27来源：网络整理

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　　为了帮助大家高效备考sat，新东方在线sat考试网为大家带来新sat数学练习题附答案解析（十七），希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道!　　

　　1.Addtoand then subtractfrom the sum. Ifis a positive integer, the result must be an integer multiple of

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　2.A machine can insert letters in envelopes at the rate ofper minute. Another machine can stamp the envelopes at the rate ofper second. How many such stamping machines are needed to keep up withinserting machines of this kind?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　3.In the-plane, linepasses through the pointsand. Lineis perpendicular to line. What is the slope of line?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　4.If a number is chosen at random from the set, what is the probability that it is a member of the solution set of bothand?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　5.The first term of the sequence above is. Which of the following could be the formula for finding theterm of this sequence for any positive integer?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　6.Ifpercent ofis greater than, which of the following must be true?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　参考答案及解析：

　　1.The correct answer is B

　　Explanation

　　The mathematical expression given in the question is, which is equivalent to. The expressioncan be factored as. For every positive integer,must be a multiple of. If, then, which is not an integer multiple of,,, or. Therefore, the correct answer is.

　　2.The correct answer is A

　　Explanation

　　First you can changeminute toseconds so that the ratios are both in envelopes per second. One inserting machine inserts letters at the rate ofperseconds, orper second. Somachines would insertletters per second.

　　Letbe the number of stamping machines needed to keep up withinserting machines. Then, since one machine stampsenvelopes per second,machines stampenvelopes per second. You can write the equation, which gives.

　　3.The correct answer is B

　　Explanation

　　Linepasses through the pointsand, so the slope of lineis equal to. Linesandare perpendicular, so the slope of lineis equal to the negative reciprocal of the slope of line. Therefore, the slope of lineis.

　　4.The correct answer is C

　　Explanation

　　Ifand, then. The numbers from the listed set that satisfy these inequalities areand. 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.

　　5.The correct answer is B

　　Explanation

　　You do not know the value of theterm or theterm of the sequence, but you do know the values of the,, andterms. The correct formula must giveas the value of theterm,as the value of theterm, andas the value of theterm. Choice E,, gives, not, as the value of theterm. Choice A,, gives, not, as the value of theterm. Choice C,, gives, not, as the value of theterm. Choice D,, gives, not, as the value of theterm. This leaves choice B,, which gives the correct values for the,, andterms of the sequence.

　　6.The correct answer is A

　　Explanation

　　Ifpercent ofis greater than, then. It follows that, and so.

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