SAT Subject Test Mathematics Level 2

(Marvins-Underground-K-12) #1

29 . A


The first   number  in  the function    gives   the amplitude   of  the function.   A   sine    curve   like    the
one in the function moves up and down between this value and its inverse. So the range of
values is the real numbers between −7 and 7.

You could   use a   graphing    calculator  to  answer  this    question    by  observing   the range   of  y
values for the function.

30 . C
You can find the distance by using the distance formula twice. First, calculate the distance
from A to the vertex on the bottom right side of the same face. The vertical distance is 12
(the height), and the horizontal distance is 9, since A is above the midpoint of the edge of the
solid.


The distance    between A   and B   is  the hypotenuse  of  the right   triangle    with    sides   of  length  15
and 21. So you can use the distance formula again.

31 . A


Start   by  finding the positive    square  roots   of  sin^2 x and cos^2 x:

Next,   use the double  angle   formulas    to  simplify    sin 2x  and cos 2x:

Therefore,

32 . A

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