Print Test
Page 1 of 25
PRINTABLE VERSION
Practice Final
You scored 80 out of 100
Question 1
Your answer is CORRECT.
Find the x- and y-intercepts of the following function.
a)
x-intercepts: (5, 0) and (6, 0); y-intercept: (0, -30)
b)
x-intercepts: (-5, 0) and (6, 0); y-intercept: (0, -30)
c)
There are no x-intercept or y-intercepts.
d)
x-intercept: (-30, 0); y-intercept: (0, 30)
e)
x-intercepts: (-5, 0) and (-6, 0); y-intercept: (0, -30)
f)
None of the above.
Question 2
Your answer is CORRECT.
Identify any vertical asymptotes of the following function.
a)
There are no vertical asymptotes.
b)
c)
d)
e)
f)
None of the above.
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 2 of 25
Question 3
Your answer is CORRECT.
Identify the location of any holes (i.e. removable discontinuities) in the graph of
a)
(1, -1⁄2) and (4, 0)
b)
(-4, -8⁄11)
c)
(4, 0)
d)
(-1, -5⁄8)
e)
(1, -1⁄2)
f)
None of the above.
Question 4
Your answer is CORRECT.
Which of the following functions could represent the graph given below?
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 3 of 25
a)
b)
c)
d)
e)
f)
None of the above.
Question 5
Your answer is CORRECT.
Which of the following functions would result in the graph shown below?
a)
b)
c)
d)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 4 of 25
e)
f)
None of the above.
Question 6
Your answer is CORRECT.
Write the following in standard form for a parabola.
a)
b)
c)
d)
e)
f)
None of the above.
Question 7
Your answer is CORRECT.
Write the equation of the circle whose diameter has endpoints (-2, -2) and (-2, 8).
a)
b)
c)
d)
e)
f)
None of the above.
Question 8
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 5 of 25
Your answer is CORRECT.
State the length of the minor axis and the coordinates of the vertices of the minor axis for the
given ellipse.
a)
Length of minor axis: 4; Coordinates of vertices: (-2, 0), (2, 0)
b)
Length of minor axis: 3; Coordinates of vertices: (-2, 0), (2, 0)
c)
Length of minor axis: 6; Coordinates of vertices: (0, -3), (0, 3)
d)
Length of minor axis: 2; Coordinates of vertices: (0, -3), (0, 3)
e)
Length of minor axis: 5; Coordinates of vertices: (-2, -3), (2, 3)
f)
None of the above.
Question 9
Your answer is CORRECT.
Find the x-coordinate(s) of the point(s) of intersection for the following functions below:
a)
b)
c)
d)
e)
f)
None of the above.
Question 10
Your answer is CORRECT.
State the coordinates of the vertex for the given parabola.
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
a)
(4,6)
b)
( -6 , -4 )
c)
(3,4)
d)
( -4 , -6 )
e)
(6,4)
f)
None of the above.
Page 6 of 25
Question 11
Your answer is CORRECT.
Given triangle DEF as shown below. If DF = 25 and EF = 24, find sin(D) and tan(F).
Note: The triangle may not be drawn to scale.
a)
sin(D) = 25⁄24 , tan(F) = 24⁄7
b)
sin(D) = 25⁄24 , tan(F) = 7⁄24
c)
sin(D) = 24⁄25 , tan(F) = 7⁄24
d)
sin(D) = 7⁄24 , tan(F) = 24⁄25
e)
sin(D) = 24⁄25 , tan(F) = 24⁄7
f)
None of the above.
Question 12
Your answer is CORRECT.
Evaluate:
sin(315o)
a)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 7 of 25
b)
c)
d)
e)
f)
None of the above.
Question 13
Your answer is CORRECT.
Evaluate:
a)
b)
c)
d)
e)
f)
None of the above.
Question 14
Your answer is CORRECT.
Evaluate:
a)
b)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 8 of 25
c)
d)
e)
f)
None of the above.
Question 15
Your answer is CORRECT.
To find the length of the arc of a circle, think of the arc length as simply a fraction of the
circumference of the circle. If the central angle θ defining the arc is given in degrees, then the
arc length can be found using the formula:
Use the formula above to find the arc length s, where θ = 225o and r = 4cm.
a)
5π cm
b)
1800π cm
c)
5π⁄
d)
5π⁄
e)
10π cm
f)
None of the above.
2
4
cm
cm
Question 16
Your answer is CORRECT.
ABC is a triangle with angle A = 30o, angle B = 135o, and BC = 9 cm. Find AC.
a)
9√6⁄
2
b)
√9
c)
9√2
d)
27⁄
2
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
e)
18
f)
None of the above.
Page 9 of 25
Question 17
Your answer is CORRECT.
Find the inverse of the given function, if possible.
where x > 0
a)
f-1(x) =
b)
f(x) does not have an inverse.
c)
f-1(x) =
d)
f-1(x) =
e)
f-1(x) =
f)
None of the above.
Question 18
Your answer is CORRECT.
A string running from the ground to the top of a fence has an angle of elevation of 45o. The string
is 10 feet long. What is the distance between the fence and where the string is pegged to the
ground?
a)
5√2 ft
b)
5 ft
c)
√10 ft
d)
20 ft
e)
5√3 ft
f)
None of the above.
Question 19
Your answer is CORRECT.
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 10 of 25
Suppose that θ is an acute angle of a right triangle and that sec(θ) = 11⁄7. Find csc(θ) and tan
(θ).
,
a)
,
b)
c)
,
d)
,
e)
,
f)
None of the above.
Question 20
Your answer is CORRECT.
In the figure below, an altitude is drawn to the base of equilateral triangle ABC. If AC = 12, find
c, the length of the altitude.
a)
b)
c)
d)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 11 of 25
e)
f)
None of the above.
Question 21
Your answer is CORRECT.
Convert the following degree measure to radians: 150o.
a)
10π⁄
b)
3π⁄
c)
5π⁄
d)
12π⁄
5
e)
5π⁄
f)
None of the above.
3
4
6
12
Question 22
Your answer is CORRECT.
For the quadrantal angle -5π , give the coordinates of the point where the terminal side of the
angle intersects the unit circle. Then give the tangent and cosine of the angle.
a)
( 0, -1 ), tan( -5π ) = 0, cos( -5π ) = -1
b)
( 0, -1 ), tan( -5π ) = 0, cos( -5π ) = 0
c)
( 1, 0 ), tan( -5π ) = -1, cos( -5π ) = -1
d)
( -1, 0 ), tan( -5π ) = -1, cos( -5π ) = 0
e)
( -1, 0 ), tan( -5π ) = 0, cos( -5π ) = -1
Question 23
Your answer is CORRECT.
Find the exact value of the following expression. Do not use a calculator. If undefined, state,
“Undefined.”
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
a)
Undefined
b)
π⁄
c)
-π⁄
d)
π⁄
e)
-π⁄
Page 12 of 25
6
6
3
3
Question 24
Your answer is CORRECT.
Find the exact value of the following expression. Do not use a calculator. If undefined, state,
undefined.
a)
undefined
b)
c)
d)
e)
f)
None of the above.
Question 25
Your answer is CORRECT.
Evaluate
cos ( tan -1 ( 5 ) )
a)
b)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 13 of 25
c)
d)
e)
f)
None of the above.
Question 26
Your answer is CORRECT.
Give an equation of the form f (x) = Asin(B x - C) + D which could be used to represent the
given graph. (Note: C or D may be zero.)
a)
b)
c)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 14 of 25
d)
e)
Question 27
Your answer is CORRECT.
Give an equation of the form f (x) = A tan(B x - C) + D which could be used to represent the
given graph. (Note: C or D may be zero.),
a)
b)
c)
d)
e)
f)
None of the above.
Question 28
Your answer is CORRECT.
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 15 of 25
Give an equation of the form f (x) = A csc(B x - C) + D which could be used to represent the
given graph. (Note: C or D may be zero.)
a)
b)
c)
d)
e)
f)
None of the above.
Question 29
Your answer is CORRECT.
Which of these is an equation of one of the asymptotes of the following function?
a)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 16 of 25
b)
c)
d)
e)
f)
None of the above.
Question 30
Your answer is CORRECT.
Find the amplitude for the following function:
a)
π
b)
3
c)
8π
d)
3
e)
3⁄
2
⁄2
⁄4
⁄8
Question 31
Your answer is CORRECT.
Find the period for the following function:
a)
π⁄
2
b)
8
c)
8π
d)
4
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
e)
π⁄
Page 17 of 25
4
Question 32
Your answer is CORRECT.
Find the phase shift for the following function:
a)
5 right
b)
2 left
c)
π right
d)
5 left
e)
π left
Question 33
Your answer is CORRECT.
Solve cos (7x) = 1 on the interval [ 0 , π⁄2 ].
a)
x = π⁄14
b)
x = 0, x = 2π⁄7
c)
x = 0 , x = π⁄21
d)
x = 0 , x = π⁄ 7
e)
x=0
f)
None of the above.
Question 34
Your answer is CORRECT.
Solve cot (x) = √3 on the interval [ 0 , 2π ).
a)
x = 5π⁄6 , x = 11π⁄6
b)
x = π⁄6 , x = 7π⁄6
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
c)
x = π⁄4 , x = 5π⁄4
d)
x = 2π⁄3 , x = 5π⁄3
e)
x = π⁄3 , x = 4π⁄3
f)
None of the above.
Page 18 of 25
Question 35
Your answer is CORRECT.
Solve
on the interval [ -π , π ].
a)
b)
c)
d)
e)
Question 36
Your answer is CORRECT.
Solve the following equation on the interval [ 0 , 2π ).
a)
x = 0 , x = π , x = 3π⁄2
b)
x = 0 , x = π⁄ 2 , x = π
c)
x = π⁄4 , x = 3π⁄4
d)
x=0, x=π
e)
x = 3π⁄2
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
f)
Page 19 of 25
None of the above.
Question 37
Your answer is INCORRECT.
Solve the following equation on the interval [ 0 , 2π ).
a)
x=0, x=π
b)
x=0
c)
x=π
d)
x = π⁄2 , x = 3π⁄2
e)
x = π⁄ 2
f)
None of the above.
Question 38
Your answer is CORRECT.
Find the area of triangle XYZ if ∠Y = 30° , z = 8 and x = 5.
a)
b)
c)
d)
e)
f)
None of the above.
Question 39
Your answer is CORRECT.
Given triangle ABC with the measure of angle A = 135o, the length of BC = 10, and the length of
AC = 20. How many solutions are there for the measure of angle B?
a)
4
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 20 of 25
b)
3
c)
1
d)
0
e)
2
f)
None of the above.
Question 40
Your answer is CORRECT.
ABC is a triangle with AB = 10, BC = 11, and AC = 8. Find cos(A).
Note: You are asked to find the cosine of A, not the measure of angle A. Do not use a
calculator.
a)
43⁄
b)
17⁄
32
c)
4⁄
5
d)
11⁄
10
e)
43⁄
f)
None of the above.
80
160
Question 41
Your answer is CORRECT.
In triangle ABC, ∠A measures 64o. If ∠C measures 38o and BC has length 11, find AB.
a)
b)
c)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 21 of 25
d)
e)
f)
None of the above.
Question 42
You did not answer the question.
Given sin(x) = 3⁄7 with 0o < x < 90o, and sin(y) = -4⁄5 with 180o < y < 270o. Find cos(x - y).
a)
b)
c)
d)
e)
f)
None of the above.
Question 43
You did not answer the question.
Given sin(x) = 1⁄8 with 90o < x < 180o, and sin(y) = -6⁄7 with 180o < y < 270o. Find sin(x y).
a)
b)
c)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 22 of 25
d)
e)
f)
None of the above.
Question 44
You did not answer the question.
Given csc(x) = -8 with 270° < x < 360°. Find cos(2x).
a)
b)
31⁄
c)
-2
d)
63⁄
e)
1
f)
None of the above.
32
64
Question 45
You did not answer the question.
Which of the following is equivalent to cos 2 (θ) - csc 2 (θ) + sin 2 (θ) + cot 2 (θ) ?
a)
tan (θ)
b)
-1
c)
0
d)
1
e)
sec 2 (θ)
f)
None of the above.
Question 46
You did not answer the question.
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 23 of 25
Which of the following is equivalent to
a)
cos (θ)
b)
tan (θ)
c)
sin (θ)
d)
sec (θ)
(1 - cos (θ)) (csc (θ) + cot (θ)) ?
e)
cos(θ) + 1
cos(θ) - 1
f)
None of the above.
Question 47
You did not answer the question.
Which of the following is equivalent to
1 - cos2(θ)
_______________
cos2(θ)
a)
sec2(θ)
b)
tan2(θ)
c)
csc2(θ)
d)
1
e)
cot2(θ)
f)
None of the above.
Question 48
You did not answer the question.
Which of the following is equivalent to
1 - cot 2(θ) + 2 cos 2(theta)
________________
1 + cot 2(θ)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
a)
2 sin 2(θ)
b)
2
c)
0
d)
-1 + 2 cos 2(θ)
e)
1
f)
None of the above.
Page 24 of 25
Question 49
You did not answer the question.
Solve the following equation on the interval [ 0 , 2π ).
a)
x = π⁄2
b)
x = 7π⁄6 , x = 11π⁄6
c)
x = π⁄3 , x = 2π⁄3
d)
x = π⁄6 , x = 5π⁄6
e)
x = 4π⁄3 , x = 5π⁄3
f)
None of the above.
Question 50
You did not answer the question.
Solve
over the interval [ -1⁄5, 4⁄5 ]
a)
b)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011
Print Test
Page 25 of 25
c)
d)
e)
https://www.casa.uh.edu/CourseWare/Root/UsersStudents/PrintTest.htm
12/6/2011