The lengths of the sides of right triangle ABC are shown in the figure below.
​What is the cotangent of ∠B?

A.)  x/y
B.)  x/z
C.)  y/z
D.)  z/x
​E.)  z/y

In the triangle shown below, what is the average of angles a,b,c,d, and e?

A.)  30°
B.)  45°
C.)  54°
D.)  60°
​E.)  72°

If two lines in the standard (x,y) coordinate plane are perpendicular, and the slope of one of the lines is -5/7, what is the 
slope of the other line ?
A.)  7/5
B.)  5/7
C.)  -5/7
D.)  -7/5
​E.)  -5

A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through the points (3,4) and (t,-2).  What is the
value of t ?
A.)  3
B.)  2
C.)  0
D.)  -2
​E.)  -6

Which of the following intervals contain the solution to the equation:
               
                2x + 5
x - 2  =  --------
                    3

A.)  -6 < x < 11
B.)  11 ≤ x < 15
C.)  6 < x ≤ 10
D.)  -5 < x ≤ -3
​E.)  -11 < x ≤ -2

In the figure below, the lengths of right triangle BAC are shown.  Side BD bisects side AC.  What is the length of side CD ?

A.)  √3
B.)  2
C.)  3
D.)  2√5
​E.)  4

Which of the following inequalities is represented by the shaded region of the graph below ?

A.)  y ≤ x + 1  or  y ≥ x - 3
B.)  y ≥ x + 1  or  y ≤ x - 3
C.)  y ≤ x + 1  or  y ≥ (-3/2)x + 3
D,)  y ≤ x + 1  or  y ≤ (-3/2)x - 3
E.)  y ≤ x + 1  or  y ≥ (-3/2)x - 3

What is the slope of the line through (-2,1) and (2,-5) in the standard (x,y) coordinate plane?
A,)  3/2
B.)  1
C.)  -1
D.)  -3/2
E.)  -4

If x = 3r - 4  and  y = 3r + 2, which of the following expresses y in terms of x ?
A.)  y = x + 2
B.)  y = x + 6
C.)  y = 9r + 14
D.)  y = 6r - 2
​E.)  y = 3x + 14

The fluctuation of water depth at a pier is shown in the figure below.  One of the following values gives the positive 
difference, in feet, between the greatest water depth and the least water depth shown in the graph.  Which value is it?