下面是八道SAT数学选择题的内容，包括了代数和几何两个部分。SAT数学选择题可以帮助大家更快更好的了解这个题型，可以帮助大家熟悉SAT数学词汇，掌握解题技巧，非常有用。大家一起来练习一下吧，不是很难。

　　1.If , what is the value of ?

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　　(A)

　　(B)

　　(C)

　　(D)

　　(E) It cannot be determined from the information given.

　　2.If, which of the following must be true?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　3.Every student who studies art in a certain school receives exactly one of the grades A, B, C, or D. If of the students receive A’s, receive B’s, receive C’s, and students receive D’s, how many students in the school study art?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　4.The circle above has center P. Given segments of the following lengths, which is the length of the longest one that can be placed entirely inside this circle?

　　(A) 6.99

　　(B) 7.00

　　(C) 7.99

　　(D) 8.10

　　(E) 14.00

　　5.In triangle , the length of side is and the length of side is . Which of the following could be the length of side ?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　6.In the xy-plane, line passes through the pointsand. Lineis perpendicular to line. What is the slope of line?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　7.If, which of the following statements must also be true?

　　.

　　.

　　.　　

　　(A) None

　　(B)only

　　(C)only

　　(D)only

　　(E)and

　　8.A 6-sided number cube, with faces numbered 1 through 6, 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?

　　(A) 1 over 4

　　(B) 1 over 3

　　(C) 5 over 12

　　(D) 7 over 12

　　(E) 1 over 2　　

　　Explanation

　　1.The correct answer is A

　　Since , it follows that , and so . Therore, .

　　2.The correct answer is C

　　Squaring both sides of the equationgives the equation. Subtractingfrom both sides now gives, or.

　　3.The correct answer is D

　　The students who receive A’s, B’s, and C’s account for of the students, that is, . This leaves of the students receiving D’s. You know that students receive D’s, so is of the total. This means that the total number of students istimes , or .　　

　　4.The correct answer is C

　　Since the radius of the circle is 4, the diameter of the circle is 8. In a circle, the diameter is longer than any segment that can be placed entirely inside the circle. Therore, segments of length 8.10 or length 14.00 could not be placed entirely within the circle, and the correct answer is 7.99.

　　5.The correct answer is D

　　By the Triangle Inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Therore, , or . Thus, , which eliminates options (A), (B), and (C). Also by the Triangle Inequality, , or , which eliminates choice (E). Therore, of the given choices, only choice (D), , could be the length of side.

　　6.The correct answer is B

　　Linepasses through the pointsand, so the slope of lineis equal to. Linesand m are perpendicular, so the slope of line m is equal to the negative reciprocal of the slope of line. Therore, the slope of line m is.

　　7.The correct answer is E

　　The quantitycan be expressed as. If, thenand. Since, eitheroror both. Therore, statementmust be true, but statement,, is not always true. For statement, you can write, and since, it follows that. Therore, both statementsandmust be true.

　　8.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 .

　　以上就是这八道SAT数学选择题的全部内容，很简单。但是大家一定要记得，不要拿这些SAT数学选择题的难度和真正的SAT数学考试的难度相比，因为SAT数学考试的难度比这个要高，大家从中需要了解的是SAT数学考试的出题方式和相关词汇。

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