7道SAT数学练习题.

　　下面为大家整理的是7道SAT数学练习题的内容，后面附有详细的答案解析。SAT数学考试是相对比较简单的，但是还是需要大家在备考的时候更加重视题目要求的理解和题目答题方式的熟悉。下面大家就和澳际小编一起来看看详细内容吧。

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　　Mathematics > Standard Multiple Choice

　　Read the following SAT test question and then click on a button to select your answer.

　　1.If , then

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　2.The weights of bags of apples range from pounds to pounds. If is the weight, in pounds, of one of these bags, which of the following must be true?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　3.If , what is the value of ?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　4.For how many positive two-digit integers is the ones digit greater than twice the tens digit?

　　A.

　　B.

　　C.

　　D.

　　E.

　　5., , ,, ...

　　The first four terms of a sequence are shown above. Which of the following could be the formula that gives the th term of this sequence for all positive integers ?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　6.A number cube, with faces numbered through , is to be rolled twice. What is the probability that the number that comes up on the first roll will be less than the number that comes up on the second roll?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　7.If , the value of can be which of the following?

　　. 　　.　.

　　Answer Choices

　　(A) only

　　(B) only

　　(C) only

　　(D) and only

　　(E) , , and

　　Explanation

　　1.The correct answer is A

　　The question states that . Solving for gives when the fraction is reduced.

　　2.The correct answer is B

　　If is the weight, in pounds, of one of the bags of apples, then it must be true that , because the weights of the bags range from pounds to pounds. These inequalities are equivalent to , which are equivalent to . Using the dinition of absolute value, you have .

　　3.The correct answer is D

　　Both and . The equation cannot be solved for because there are two unknowns. The value of can be found by solving the equation for . It follows that must equal . The value of can now be substituted into the equation , giving . Therore, must equal .

　　4.The correct answer is A

　　The correct answer is (A). If the tens digit is , there are positive two-digit integers with the ones digit greater than twice the tens digit: and . If the tens digit is , there are positive two-digit integers with the ones digit greater than twice the tens digit: and . If the tens digit is , there are positive two-digit integers with the ones digit greater than twice the tens digit: and . If the tens digit is , there is positive two-digit integer with the ones digit greater than twice the tens digit: . If the tens digit is equal to or greater than , then the ones digi

　　5.The correct answer is E

　　If a formula gives the th term of the sequence for all positive integers , it must give the th term of the sequence for . If , then and , but the first term of the sequence is , so the general formula cannot be or . Also, if , then and , but the third term of the sequence is , so the general formula cannot be or . However, for , the values of are , , , , respectively. Therore, the general formula for this sequence could be .

　6.The correct answer is C

　　The outcome space for this experiment is the set of all ordered pairs where represents the first number that comes up, and represents the second one. Since and can take all the values through , there will be a total of possible outcomes. The outcomes can be represented in a table as shown:

　　Among all the pairs , are pairs for which . So remaining pairs will have . Notice that the number of pairs for which is the same with the number of pairsfor which . Therore the number of pairsfor which , is (half of ). Then the probability that is equal to .

　　7.The correct answer is D

　　Roman Numeral Answer Format

　　Roman Numeral : Can the value of be ?

　　You could test this answer by substituting for in the equation and seeing whether the result is true. But you can also reason this question out without substituting numbers:

　　If , then is a positive number, because any nonzero number squared is positive.

　　If , then is negative.

　　So is negative and is positive.

　　Therore, cannot be .

　　Mark Roman numeral with an “F” for false.

　　Roman Numeral : Can the value of be ?

　　This is a very easy substitution to make:　　

　　Roman numeral is true, so mark it with a “T” for true.

　　Roman Numeral : Can the value of be ?

　　Substitute for :

　　If , then .Also, .

　　Roman numeral is true, so mark it with a “T” for true.

　　Check the Answers:

　　You now know whether each of the Roman numeral statements is true or false:is false.is true.is true.

　　Find the choice that says only and are true.

　　以上就是这7道SAT数学练习题的全部内容，非常详细，包括了很对常见知识点。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练习。

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