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4道SAT数学选择题练习

  下面是为大家准备的4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.

2013-M37917.png

 

  In the triangles above, 3 times (y minus x) =

  (A) 15

  (B) 30

  (C) 45

  (D) 60

  (E) 105

  2.

math image

  What is the area of the triangle in the figure above?

  (A)4.0 

  (B)7.5 

  (C)8.0 

  (D)8.5 

  (E)15.0 

  3.Milk costsxcents per half-gallon andycents per gallon. If a gallon of milk costszcents less than2half-gallons, which of the following equations must be true?

  (A)x minus (2 times y) + z = 0

  (B)(2 times x) minus y plus z equals 0

  (C)x minus y minus z equals 0

  (D)(2 times x) minus y minus z equals 0

  (E)x + (2 times y ) minus z = 0

  4.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

  

  参考答案及解析:

  1.The correct answer is C

  Explanation

  To evaluate the expression 3 times (y minus x), it is necessary to determine the values of xandy. Since the sum of the measures of the angles of any triangle is 180degrees, and a right angle has measure 90degrees, the value of xcan be found by solving the equation x + x + 90 = 180. This yields x=45. The value of ycan be found by solving the equation y + y + y = 180. This yields y=60. Finally, the values for xand yare substituted into the expression 3 times (y minus x)

to obtain 3 times (60 minus 45) = 3 times (15) = 45.

  2.The correct answer is B

  Explanation

  Figures in a Coordinate Plane

  The figure provides all the information you need to answer the question.

  What Is the Question Asking?

  You are asked to figure out the area of a triangle that is defined by the points in a coordinate plane.

  What Do You Know?

  The triangle in the figure is a right triangle with the right angle at the lower left.

  Because it is a right triangle, its base and height are the two sides that form the right angle.

  The area of a triangle is(1 over 2) times b times h.

  The base of the triangle extends from point(0 comma 0)to point(5 comma 0). So it is5units long.

  The height of the triangle extends from point(0 comma 0)to point(0 comma 3). So it is3units long.  

  Area = (1 over 2) times b times h

   equals 1 over 2 times 3 times 5

   equals 1 over 2 times 15

   equals 7.5

  3.The correct answer is D

  Explanation

  The cost of a gallon of milk (y cents)is equal to zcents less than the cost of 2half-gallons ((2 times x) cents). This can be written algebraically as y = (2 times x) minus z. Subtracting yfrom both sides of the equation yields(2 times x) minus y minus z = 0.

  4.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.

  以上就是关于4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。