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 ofmiles per hour and returned along the same route at
miles per hour. If her total traveling time was
hour, what was the total number of miles in the round trip?
(A)
(B)
(C)
(D)
(E)
2.If, which of the following must be true?
(A)
(B)
(C)
(D)
(E)
3.It costsdollars to ship a package that weighs
pounds if and only if
. If Alan's package weighs
pounds and costs
dollars to ship, which of the following must be true?
(A)
(B)
(C)
(D)
(E)
4.
(A)
(B)
(C)
(D)
(E)
5.

In the quadratic equation above,is a constant. The graph of the equation in the
contains the points
and
. What is the value of
?
(A)
(B)
(C)
(D)
(E)
6.If the graph of the functionis a line with slope
, which of the following could be the equation of
?
(A)
(B)
(C)
(D)
(E)
参考答案及解析:
1.The correct answer is C
Explanation
Letrepresent the time it took the woman to drive to work. Since her total traveling time was
hour, the time it took her to return home is
. The distance in miles can be found using the formula
. The distance traveled to work is
, and the return distance is
. Since the distance to work is the same as the return distance,
. Solving for
yields
. So the distance one way is
miles. The total number of miles in the round trip is
, or
miles.
2.The correct answer is C
Explanation
Squaring both sides of the equationgives the equation
. Subtracting
from both sides now gives
, or
.
3.The correct answer is C
Explanation
If Alan's package weighspounds and costs
dollars to ship, then
. Subtracting
across these inequalities gives the equivalent
, and so
. By the definition of absolute value, it follows that
must 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.
Thefrom
cancels with the
from
.
Thefrom
cancels with the
from
.
And so on, right down to the equal sign.
After you have canceled everything that can be canceled, you are left with the fraction.
5.The correct answer is A
Explanation
Since the graph ofin the
contains the point
, it follows that substituting the value
into
yields
. Hence
, which simplifies to
, or
. Therefore,
.
Alternatively, since the graph ofin the
contains the points
and
, and the coefficient of
is
, the equation is equivalent to
, which multiplies out to
. Therefore,
.
6.The correct answer is B
Explanation
The graphs of all the given functions are lines, and the equations are all in the form. When a linear equation is in the form
, the slope of the graph of the equation is
, the coefficient of
. The graph of the function
is a line with slope
, so the only choice that could be the equation of
is
.
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。