© Scarborough, Fall 2015, Math 150, Exam I
Math 150
1
NEATLY PRINT YOUR LEGAL NAME: _______________________________
Exam 1
STUDENT ID: ______________________
Fall 2015
DATE: ____________________________
SECTION: Circle your correct section number.
Tuesday recitations: 501 503 505 507 509 511
Thursday recitations:
502 504 506 508 510 512
"On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work."
________________________________
Signature of student
My signature in this blank allows my instructor to pass back my graded exam in class or allows me to pick up
my graded exam in class on the day the exams are returned. If I do not sign the blank or if I am absent from
class on the day the exams are returned, I know I must show my Texas A&M student ID during my instructor’s
office hours to pick up my exam.
Signature of student ____________________________________________
This is a 10-question multiple-choice exam; there is no partial credit. Each problem is worth 5 points for a total
of 50 points. There will be a 5-point bonus if you have no transgressions. Transgressions include not having the
correct TAMU Scantron form, not filling out your Scantron form or this exam cover correctly, having a folded
or mutilated Scantron, having your cell phone ring or vibrate, not having your TAMU student ID, not following
directions, not turning in your exam and Scantron on time. You must put your first name and last name, as
officially known by TAMU, on this exam cover as well as on your Scantron; no nicknames or middle names,
without your first and last name. The Scantron will not be returned so also mark all your answers on this exam
paper. Your exam grade (sum of both exam parts with a maximum score of 110) will be posted in WebAssign.
You may not discuss the contents of the exam with anyone until the exam is returned in class. NO
CALCULATORS ALLOWED!
You are authorized to use a pencil, eraser, TAMU Scantron, and your own TAMU student ID; use of
anything else is a violation of the Aggie Honor Code.
Note: It is a violation of the Aggie Honor Code to continue writing on the exam or Scantron after time is
called and in doing so will result in a zero for this exam and will be reported to the Aggie Honor Council.
ALL CELL PHONES MUST BE TURNED OFF AND PLACED AT THE FRONT OF THE ROOM! It is
academic dishonesty to have any electronic devices, including cell phones, on your person during this exam.
Having an electronic device on your person can result in a zero on this exam and an F* for this course.
SCANTRON: Please double check to make sure you have correctly completed and bubbled in the
following items on your Aggie Scantron:
Last Name, First Name, Course No.: 150, Section, Test Form:
UIN, Your signature, Date: Sept 2015, Exam: 1
B
© Scarborough, Fall 2015, Math 150, Exam I
4 x  8 x  100 x  200
3
1. Fully simplify
a.
b.
c.
d.
e.
2
x  8 x  15
2
8 x  2
x  5 x  25
2
8 x  2
 x  5
8 x  2
2
x  5 x  25
2
8 x  2
 x  5
4  x  2
2
x  5 x  25
2
7

3
 11
5
12
x
y
z
2. Fully simplify 
 2 x 2 y 5 z 4


a.
z
14
32
2
5
36 x y
b.
z
30
36
2
5
36 x y
c.
z
14
36
2
5
6x y
d.
z
30
32
36 xy
e.
z
5
14
36
2
36 x y
5
2





2
.
x  125
3

2x  6
.
© Scarborough, Fall 2015, Math 150, Exam I
3. Solve
10 x  8
x  4x
2
 1
for x .
a.   ,  4     2, 0    4,  
b. None of these
c.   4,  2    0, 4 
d.   4,  2    0, 4 
e.   ,  4     2, 0    4,  
4. The surface area of a rectangular parallelpiped is A  2 lw  2 lh  2 w h . Solve for l .
a.
l 
b. l 
c. l 
d. l 
e. l 
A  wh
2w  h
2 A  wh
wh
A  2wh
2w  2h
A  wh
w  2h
A  2wh
4wh
3
© Scarborough, Fall 2015, Math 150, Exam I
3  8    3  16 
3
7
5. Fully simplify
6
2
a.
 19
 4
4
5
.
11
21
4
b.  3
c.  60
3
d.
80
e. 21
6. Solve 5 x  4  20 for x .
 24

, 
 5

a. 

b.   ,


c.    ,


d.   ,

 24   16

, 

5   5

 16 

5 
 16   24

, 

5   5

e.   ,  
7. Fully simplify and put in standard form:
a.
b.
c.
d.
e.
 1  23i
13  22i
1  23i
 13  19i
13  22i

49  2
 3  i
© Scarborough, Fall 2015, Math 150, Exam I
8. Solve
2 x  3
x x
2

5
 x  3x  2
2
5
for x . Find the SUM of the solutions; if there is only one solution, just
give it.
a.
b.
c.
d.
e.
1
2
4
3
2
9. Which property of the real numbers is NOT used:  5   x  5    x  5    5  x   5   5   x  0  x ?
a.
b.
c.
d.
e.
Commutative property of addition
Subtraction
Additive identity
Additive inverse
Associative property of addition
10. Solve 3 x 2  5  4 x for x over the complex numbers. Find the SUM of the solutions; if there is only one
solution, just give it.
a.
8
3
b. None of these
c. 0
d.
e.
4
3
8
3
© Scarborough, Fall 2015, Math 150, Exam I
Math 150
6
NEATLY PRINT NAME: _______________________________
Exam 1
STUDENT ID: ______________________
Fall 2015
DATE: ____________________________
SECTION: Circle your correct section number.
Tuesday recitations: 501 503 505 507 509 511
Thursday recitations:
502 504 506 508 510 512
TEST NO.: SAPPHIRE
"On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work."
________________________________
Signature of student
My signature in this blank allows my instructor to pass back my graded exam in class or allows me to pick up
my graded exam in class on the day the exams are returned. If I do not sign the blank or if I am absent from
class on the day the exams are returned, I know I must show my Texas A&M student ID during my instructor’s
office hours to pick up my exam.
Signature of student ____________________________________________
This is a 10-question work-out exam. Each problem is worth 5 points for a total of 50 points, plus there is a 5point bonus question. Write all solutions in the space provided as full credit will not be given without complete,
correct accompanying work, even if the final answer is correct. Fully simplify all your answers and give exact
answers. Justify your answers algebraically whenever possible. Circle your final answer. Remember your units!
You must put your first name and last name, as officially known by TAMU, on this exam cover; no nicknames
or middle names, without your first and last name. Your total grade for the workout part of the exam is at the
top right of page 3. The total points earned for a page is at the bottom of that page. Your exam grade (sum of
both exam parts with a maximum score of 110) will be posted in WebAssign. You may not discuss the contents
of the exam with anyone until the exam is returned in class.
You are authorized to use a pencil, eraser, and your own TAMU student ID; use of anything else is a
violation of the Aggie Honor Code.
Note: It is a violation of the Aggie Honor Code to continue writing on the exam after time is called and in
doing so will result in a zero for this exam and will be reported to the Aggie Honor Council.
ALL CELL PHONES MUST BE TURNED OFF AND PLACED AT THE FRONT OF THE ROOM! It is
academic dishonesty to have any electronic devices, including cell phones, on your person during this exam.
Having an electronic device on your person can result in a zero on this exam and an F* for this course.
Math Joke:
Have you heard about the mathematical plant? It has square roots.
Thanks to: @TheRedshiftAcad3h
© Scarborough, Fall 2015, Math 150, Exam I
7
1. Solve 8 x 6  7 x 3  1 for x over the real numbers.
x = _________________________
2. In the real numbers fully simplify 6
x
24
64 y
z
9
. If needed in your final answer, use the radical form rather
6
than fractional exponents.
____________________________________
4x  2x  5
4
3. Perform polynomial long division:
3
2x  5
2
© Scarborough, Fall 2015, Math 150, Exam I
8
Workout Exam grade: ________
x
4
x
4. Perform operations and fully simplify
1
9 x  21

1
.
3
Fully simplified expression: _________________________________
Bonus: State all the restrictions on the variable:
5. Fully simplify:  2 2  3 0  2(5  8) 3  144  4  3
____________________________________________
6. Fully simplify 3 96  2 12  54  75 .
________________________________
x
____________________________
© Scarborough, Fall 2015, Math 150, Exam I
9
7. Solve 18 x  63  3 x  6 for x .
x
= _________________________
4x
8. Fully simplify
3
36  x  5 
. Leave your answer in radical form, if needed.
________________________________
9. Put in standard form: 2  8 i  3i 15  7 
________________________________
10. Solve 2  6  4 x  9 for x . Give your answer in interval notation. Write “none” if there is no solution.
Interval: _________________________________