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6道SAT數學選擇題練習(含答案)

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 下面是為大家準備的2014年1月4日—2014年1月1日的6道SAT考試數學選擇題練習題。同學們在備考SAT數學的過程中,一定要加強習題的練習,熟練到能充分理解題意,爭取得到滿分。

  1.Add8 times xto2 times xand then subtract5from the sum. Ifxis a positive integer, the result must be an integer multiple of

  (A)2

  (B)5

  (C)8

  (D)10

  (E)15

  2.A machine can insert letters in envelopes at the rate of120per minute. Another machine can stamp the envelopes at the rate of3per second. How many such stamping machines are needed to keep up with18inserting machines of this kind?

  (A)12

  (B)16

  (C)20

  (D)22

  (E)24

  3.In thex y-plane, linelpasses through the points0 comma 0and2 comma 5. Linemis perpendicular to linel. What is the slope of linem?

  (A)negative (5 over 2)

  (B)negative (2 over 5)

  (C)2 over 5

  (D)5 over 2

  (E)5

  4.If a number is chosen at random from the set(negative 10 comma negative 5 comma 0 comma 5 comma 10), what is the probability that it is a member of the solution set of both(3 times x) minus 2 less than 10andx + 2 greater than negative 8?

  (A)0

  (B)1 over 5

  (C)2 over 5

  (D)3 over 5

  (E)4 over 5

  5.The first term of the sequence above is8. Which of the following could be the formula for finding then thterm of this sequence for any positive integern?

  (A)(2 times n) + 6

  (B)(3 times n + 5)

  (C)(5 times n) + 3

  (D)(6 times n) + 2

  (E)(6 times n) + 5

  6.Ifppercent of75is greater than75, which of the following must be true?

  (A)p is greater than 100

  (B)p is less than 75

  (C)p is equal to 75

  (D)p is less than 25

  (E)p is equal to 25

 下面是為大家準備的2014年1月4日—2014年1月1日的6道SAT考試數學選擇題練習題。同學們在備考SAT數學的過程中,一定要加強習題的練習,熟練到能充分理解題意,爭取得到滿分。

  1.Add8 times xto2 times xand then subtract5from the sum. Ifxis a positive integer, the result must be an integer multiple of

  (A)2

  (B)5

  (C)8

  (D)10

  (E)15

  2.A machine can insert letters in envelopes at the rate of120per minute. Another machine can stamp the envelopes at the rate of3per second. How many such stamping machines are needed to keep up with18inserting machines of this kind?

  (A)12

  (B)16

  (C)20

  (D)22

  (E)24

  3.In thex y-plane, linelpasses through the points0 comma 0and2 comma 5. Linemis perpendicular to linel. What is the slope of linem?

  (A)negative (5 over 2)

  (B)negative (2 over 5)

  (C)2 over 5

  (D)5 over 2

  (E)5

  4.If a number is chosen at random from the set(negative 10 comma negative 5 comma 0 comma 5 comma 10), what is the probability that it is a member of the solution set of both(3 times x) minus 2 less than 10andx + 2 greater than negative 8?

  (A)0

  (B)1 over 5

  (C)2 over 5

  (D)3 over 5

  (E)4 over 5

  5.The first term of the sequence above is8. Which of the following could be the formula for finding then thterm of this sequence for any positive integern?

  (A)(2 times n) + 6

  (B)(3 times n + 5)

  (C)(5 times n) + 3

  (D)(6 times n) + 2

  (E)(6 times n) + 5

  6.Ifppercent of75is greater than75, which of the following must be true?

  (A)p is greater than 100

  (B)p is less than 75

  (C)p is equal to 75

  (D)p is less than 25

  (E)p is equal to 25

參考答案及解析:

  1.The correct answer is B

  Explanation

  The mathematical expression given in the question is(8 times x) + (2 times x) minus 5, which is equivalent to(10 times x) minus 5. The expression(10 times x) minus 5can be factored as5 times ((2 times x) minus 1). For every positive integerx,5 times ((2 times x) minus 1)must be a multiple of5. Ifx = 1, then5 times ((2 times x) minus 1) = 5, which is not an integer multiple of2,8,10, or15. Therefore, the correct answer is5.

  2.The correct answer is A

  Explanation

  First you can change1minute to60seconds so that the ratios are both in envelopes per second. One inserting machine inserts letters at the rate of120per60seconds, or2per second. So18machines would insert36letters per second.

  Letxbe the number of stamping machines needed to keep up with18inserting machines. Then, since one machine stamps3envelopes per second,xmachines stamp3 times xenvelopes per second. You can write the equation3 times x = 36, which givesx = 12.

  3.The correct answer is B

  Explanation

  Linelpasses through the points0 comma 0and2 comma 5, so the slope of linelis equal to(5 minus 0) over (2 minus 0) = 5 over 2. Lineslandmare perpendicular, so the slope of linemis equal to the negative reciprocal of the slope of linel. Therefore, the slope of linemisnegative 1 over (5 over 2) = negative 2 over 5.

  4.The correct answer is C

  Explanation

  If(3 times x) minus 2 less than 10andx + 2 greater than minus 8, thennegative 10 less than x less than 4. The numbers from the listed set that satisfy these inequalities arenegative 5and0. 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 is2 over 5.

  5.The correct answer is B

  Explanation

  You do not know the value of thesecondterm or thefourthterm of the sequence, but you do know the values of thefirst,third, andfifthterms. The correct formula must give8as the value of thefirstterm,14as the value of thethirdterm, and20as the value of thefifthterm. Choice E,(6 times n) + 5, gives11, not8, as the value of thefirstterm. Choice A,(2 times n) + 6, gives12, not14, as the value of thethirdterm. Choice C,(5 times n) + 3, gives18, not14, as the value of thethirdterm. Choice D,(6 times n) + 2, gives20, not14, as the value of thethirdterm. This leaves choice B,(3 times n + 5), which gives the correct values for thefirst,third, andfifthterms of the sequence.

  6.The correct answer is A

  Explanation

  Ifppercent of75is greater than75, then(p over 100) times 75 is greater than 75. It follows that75 p is greater than 7,500, and sop is greater than 100.

  以上就是關于6道SAT考試數學選擇題練習題及其答案和解析,非常詳細。同學們在備考階段,一定要加強習題的練習以及題意的理解,爭取SAT數學滿分。

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solution [sə'lu:ʃən]

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n. 解答,解決辦法,溶解,溶液

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equation [i'kweiʃən]

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n. 相等,方程(式), 等式,均衡

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negative ['negətiv]

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adj. 否定的,負的,消極的
n. 底片,負

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sequence ['si:kwəns]

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n. 順序,連續,次序,序列,一系列
vt.

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explanation [.eksplə'neiʃən]

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n. 解釋,說明

 
probability [.prɔbə'biliti]

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n. 可能性,或然率,機率

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multiple ['mʌltipl]

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adj. 許多,多種多樣的
n. 倍數,并聯

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formula ['fɔ:mjulə]

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n. 公式,配方,規則;代乳品
adj. (賽

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stamp [stæmp]

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n. 郵票,圖章,印,跺腳
v. 跺腳,蓋章

 
slope [sləup]

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n. 傾斜,斜坡,斜面,斜線,斜率
vt. 使

 
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