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L. A. Mission College
Version A
Math 125 Sample
Common Final Examination
Part I
Multiple Choice Questions
Do not open this booklet until told to do so. You may write
inside the booklet, and circle your answer choices.
When finished, place scratch paper in the booklet and
return to instructor
Student Name: _______________________
Student ID # :
_____________________
Instructor Name: ______________________
Section Number: _______________________
Multiple Choice Score
Free Response Score
Total Score
VERSION A
Page 1
VERSION A
Page 2
Math 125 Common Final Examination
Part I
Multiple Choice Questions
VERSION A
PRINT NAME:-----------------------------------------
1.
Simplify:
y
a)
3y
2.
Solve:
a) y  7
3.
3
1
9y
VERSION A
c)
y
3
d)
3y2
3y
9y
3 y  11 5 y  2


3y  9 2 y  6
y 3
b) No solution
Multiply and simplify:
a) 80
c)
y2
3y
3
9y
b)
9y
3
4
b) 18 42  25
6 2 7

6 4 7
23
24
d) y 
1
9

c) 18 42  80
d) 5 6  6 7
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4.
The slope of the line that is perpendicular to the line through the pair of points
 3, 2 and  2,9 is:
a)
5.
11
5
b) 
Given f ( x)  4  x
a) Not a real number
6.
find
5
11
1
7
c) 7
d)
c) 3
d)  3
f (5) 
b) 2 5
Simplify the given expression. Write the answer with positive exponents. Assume that all
variables represent positive numbers.
 15 
 3a 


4
1
a 20
4
a) 12 a 105
VERSION A
b) 81a16
3
3
c) 3a 4
d) 81a 4
Page 4
The inverse of the function f ( x)  5x  7 is:
7.
a)
8.
f 1 ( x)  5x  7
Multiply:
a) 5 5
9.
b) f 1 ( x) 
x
7
5
VERSION A
x7
5
d) f 1 ( x) 
1
5x  7
5  15
b) 5i 3
The solutions of x4  9 x2  20  0
a)  5,  2
c) f 1 ( x) 
b)  5,  2
c) 5 3
d) 5 3
c) 4, 5
d) 0,  3
are:
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10. The domain of the given graphed function is:
a)
11.
 6, 2
Solve:
a) x 
12.
b)
 ,  
c)
 7,  
d) [10,10]
32 x  7
log 7
2 log 3
b) x 
7
6
c) x 
log 7
log 3
d) x 
7
9
The sum of three numbers is 60. One number is five more than a second number. It is also twice
the third. Find the numbers.
a) 15, 20,30
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b) 10, 20,30
c) 26, 21,13
d) 17,19, 24
Page 6
Divide. Write answer in the form a  bi .
13.
a) 
14.
2
3
Factor:
b) 
1
3
1 i
3i
c)
b)
c) (3a  4)3
d)
The interval notation for the solution set of
a)
 5,5
VERSION A
d)
1 2
 i
5 5
27a3  64
a) (3a  4)(3a 2  12a  16)
15.
1 1
 i
4 2
b)  3, 7 
 3a  4 9a2 12a  16 
 3a  4 9a2  12a  16 
x  2  5 is:
c)
 7, 7
d)
 , 7 7,  
Page 7
Which of the following graphs might be that of y  3x  2 ?
16.
a)
b)
c)
d)
The interval notation for the solution set of x2  8x  15  0 is:
17.
a)
 , 5  3,  
VERSION A
b)  5, 3
c)
 , 3
d)  5,  
Page 8
The graph of f ( x)   x  4  3 is:
18.
a)
b)
c)
19.
d)
If the longer leg of a right triangle is 12 feet more than the shorter leg and the hypotenuse is 12
feet less than twice the shorter leg, then the length of the shorter leg is:
a) 48
VERSION A
b) 36
c) 60
d) Not possible
Page 9
20. The graph of
a)
c)
x2 y 2

 1 is:
4 25
b)
d)
End of Part I – Multiple Choice Questions
Continue for Part II – Free Response Questions
VERSION A
Page 10
L. A. Mission College
Math 125 Sample
Common Final Examination
Part II
Free Response Questions
Write in the space provided.
When finished, place scratch paper in the booklet
and return to instructor.
Student Name: _______________________
Student ID # :
_____________________
Instructor Name: ______________________
Section Number: ______________________
Multiple Choice Score
Free Response Score
Total Score
VERSION A
Page 11
VERSION A
Page 12
Math 125 Common Final Examination
Print Name: ----------------------------------PART II FREE RESPONSE QUESTIONS
Instructions:
a) Do ALL given problems.
b) Work must be shown in a clear and logical manner to obtain credit.
c) Remember: No work = No credit!
d) Write all your work in the space provided and box your answer when appropriate.
1)
If
f ( x)  x 2  3 and g ( x)  2 x  3
(a) (2 pts.) Find  f  g  ( x) and simplify completely.
(b) (3 pts.) Find  f g  ( x) and simplify completely.
2)
(5 pts.) Solve:
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log 6 x  log 6 ( x  1)  1
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34 x2  81
3) (5 pts.)
Solve:
4) (5 pts.)
Graph the solution set for the system of inequalities:
 y  2x 1
 2
x
y2
1
 
4 9
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5)
(5 pts.) The height of a cannon ball, measured in feet, is a function of time. It is given by
f (t )  96t  16t 2 where t is the time in seconds. Find the highest point reached by
the cannon ball.
6)
(5 pts.) Find the center and radius of the circle and graph it:
VERSION A
x2  y 2  2 x  6 y  15  0
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7) Given the quadratic function:
f ( x )   x  3  5
2
(a) (1 pt.) State its vertex.
(b) (1 pt.) Give the equation of the axis of symmetry.
(c) (3 pts.) Graph the function f ( x)   x  3  5 .
2
8)
(5 pts.) How long will it take for a $500 investment to double if it is invested at 6% annual
interest compounded continuously? (Use the formula A  Pert , and round your answer
to the nearest tenth.)
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