Quiz - Solving Rational Equations

Notes
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Assignment
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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