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6道SAT数学选择题练习

  下面是为大家准备的2013年6月21日—6月27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 woman drove to work at an average speed of40miles per hour and returned along the same route at30miles per hour. If her total traveling time was1hour, what was the total number of miles in the round trip?

  (A)30

  (B) 30 and (1 over 7)

  (C)34 and (2 over 7)

  (D)35

  (E)40

  2.Ifsquare root (x minus a) = square root (x + b), which of the following must be true?

  (A)a = 0 

  (B)b = 0 

  (C)a + b = 0 

  (D)a minus b = 0

   (E)(a^2) + (b^2) = 0 

  3.It costsddollars to ship a package that weighsppounds if and only if6 is less than or equal to p is less than or equal to 10. If Alan's package weighsppounds and costsddollars to ship, which of the following must be true?

  (A)(absolute value of p minus 6) is less than or equal to 2

  (B)(absolute value of p minus 10) is less than or equal to 2 

  (C)(absolute value of p minus 8) is less than or equal to 2

  (D)(absolute value of p plus 6) is less than or equal to 10

  (E)(absolute value of p plus 10) is less than or equal to 6

  4.(1 over 2) times (2 over 3) times (3 over 4) times (4 over 5) times (5 over 6) times (6 over 7) =

  (A)1 over 7

  (B)3 over 7

  (C)21 over 27

  (D)6 over 7

  (E)7 over 8

  5.

y = (x^2) minus (4 times x) + c)

 

  In the quadratic equation above,cis a constant. The graph of the equation in thex y planecontains the points(minus 2 comma 0)and(6 comma 0). What is the value ofc?

  (A)negative 12

  (B)negative 6

  (C)4

  (D)6

  (E)12

  6.If the graph of the functionfis a line with slope2, which of the following could be the equation off?

  (A)function f of x = (4 times x) minus 2 

  (B)function f of x = (2 times x) + 4 

  (C)function f of x = negative (2 times x) minus 2 

  (D)function f of x = ((1 over 2) times x) + 2 

  (E)function f of x = negative ((1 over 2) times x) + (1 over 2) 

  

  参考答案及解析:

  1.The correct answer is C

  Explanation

  Lettrepresent the time it took the woman to drive to work. Since her total traveling time was1hour, the time it took her to return home is1 minus t. The distance in miles can be found using the formuladistance = (rate) times (time). The distance traveled to work is40 times t, and the return distance is30 times (1 minus t). Since the distance to work is the same as the return distance,40 times t = 30 times (1 minus t). Solving fortyieldst = (3 over 7). So the distance one way is40 times (3 over 7) = (120 over 7) = 17 and (1 over 7)miles. The total number of miles in the round trip is2 times (17 and (1 over 7)), or34 and (2 over 7)miles.

  2.The correct answer is C

  Explanation

  Squaring both sides of the equationsquare root (x minus a) = square root (x + b)gives the equationx minus a = x + b. Subtractingxfrom both sides now givesnegative a = b, ora + b = 0.

  3.The correct answer is C

  Explanation

  If Alan's package weighsppounds and costsddollars to ship, then6 is less than or equal to p is less than or equal to 10. Subtracting8across these inequalities gives the equivalent(6 minus 8) is less than or equal to (p minus 8) is less than or equal to (10 minus 8), and so(negative 2) is less than or equal to (p minus 8) is less than or equal to 2. By the definition of absolute value, it follows that(absolute value of p minus 8) is less than or equal to 2must be true.

  4.The correct answer is A

  Explanation

  If a question looks as if it requires a lot of calculating, that’s often a tip-off that something else is going on. There’s usually a quick way to find the answer. In this question, all the fractions are being multiplied and so canceling is a possibility. The denominators cancel diagonally with the numerators that follow.

  The2from1 over 2cancels with the2from2 over 3.

  The3from2 over 3cancels with the3from3 over 4.

  And so on, right down to the equal sign.

  After you have canceled everything that can be canceled, you are left with the fraction1 over 7.

  5.The correct answer is A

  Explanation

  Since the graph ofy = (x^2) minus (4 times x) + cin thexy-planecontains the point(negative 2 comma 0), it follows that substituting the valuex = negative 2intoy = (x^2) minus (4 times x) + c)yieldsy = 0. Hence0 = ((negative 2)^2) minus 4 times (negative 2) + c, which simplifies to0 = 4 minus (negative 8) + c, or0 = 12 + c. Therefore,c = negative 12.

  Alternatively, since the graph ofy = (x^2) minus (4 times x) + c)in thexy-planecontains the points(negative 2 comma 0)and(6 comma 0), and the coefficient ofx^2is1, the equation is equivalent toy = (x +2) times (x minus 6), which multiplies out toy = (x^2) minus (4 times x) minus 12. Therefore,c = negative12.

  6.The correct answer is B

  Explanation

  The graphs of all the given functions are lines, and the equations are all in the formy = (m times x) + b. When a linear equation is in the formy = (m times x) + b, the slope of the graph of the equation ism, the coefficient ofx. The graph of the functionfis a line with slope2, so the only choice that could be the equation offisfunction f of x = (2 times x) + 4.

  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。