NAME (please print) ________________________________
COURSE: (circle one) _____120R__/ 122B____________
SECTION NUMBER:
_____________________________
Assignment Directions
There are 20 problems on this assignment; Each problem is worth a maximum of 3 points. The
grading rubric is as follows:
3 points will be given for a correct answer AND appropriate supporting work.
2 points will be given for effort/work that leads to an incorrect answer.
1 point will be given for effort/work not leading to a final answer or an answer inconsistent with the
work shown.
0 points will be given if no work for a problem is shown, even if the correct answer is given. In
addition, if your work for a problem is not done in a neat and organized fashion, or if the instructor
simply cannot read your work, 0 points will be given.
The maximum non- scaled score on this assignment is 60 points. Your score will be scaled so that
20 points is the maximum score.
For Math 120R students, this assignment is worth 20 out of 750 points. For Math 122B students,
this assignment is worth 20 out of 720 points.
All work must be done on this worksheet. You must BOX your final answer in order for full
credit to be given.
You may obtain assistance in completing this assignment. Feel free to use Think Tank, textbooks,
etc… Also, feel free to use the University of Michigan Math Prep Module using the following link:
http://prep.math.lsa.umich.edu/pmc/ However, all work that you submit must be your own.
This assignment is due at the beginning of class (Math 120R or Math 122B) on Tuesday, February
9th. The worksheet must be printed off and a hard copy must be turned in to your instructor. No
electronic submissions will be accepted.
Please read the following statement, and sign at the bottom of the page.
I affirm that I completed this assignment in its entirety and that the work contained herein is
original and does not contain the work of others. Furthermore, I understand that sanctions will be
imposed if any part of this work is found to violate the Student Code of Conduct, the Code of
Academic Integrity, or the policies and procedures established for this course.
______________________________
______________________________
Name (Printed)
Signature
Simplifying Expressions
( x  h) 2  ( x  h) 2
2h
1.
Simplify the expression.
2.
4
7
y2
Simplify the expression
3
6
y2
3.
Factor completely and simplify.
so that there are no compound fractions.
3w  58  5w  57 (w  4)
4.
Rewrite the given expression in the form x A where A is simplified as much as possible.
x  x
3 n
2
x ( n4)

1
2
4 p( p  7)  9( p
( p  7) 2
and no compound fractions.
1
 7) 2
5.
Simplify the expression
6.
Simplify completely as a fraction in factored form:
so that there are no negative exponents
49  k 2
k 2  3k  28
Solving Equations/Inequalties (Algebraically) Note: Solution(s) obtained graphically will
receive no credit.
7.
Solve for r exactly:
4(r  46) 2  220  0
8.
Solve for t exactly:
5t  7  4  13
9.
Solve for x exactly:
3x( x  1)  5
10.
Solve for y exactly:
y 2  7 y  0
11. Solve for w :
( w  2)( w  11)
0
w8
12. Solve for n in terms of p :
13. Solve for t :  32t  5  t  9
2n  5
p
3  4n
Put your final answer in interval notation.
14. Let the formula C  4500 x  30000 represent the cost C , in dollars, for producing x
scientific calculators. How many scientific calculators can be produced at a cost of $600?
Round your answer to the nearest whole number.
Setting up Equations/Expressions
15.
Give the equation of the line passing through the point   3 , 4 that is perpendicular to the
line  2 x  9 y  8 . Put your final answer in point-slope form.
16.
Find the equation of a circle with center
17.
The height of a cone is 4 times its radius. Express the volume, V , of the cone in terms of
its radius, r . Simplify your equation as much as possible.
18.
Give an example of an algebraic expression that has a domain of all real numbers greater than
 p, q and radius
r.
4.
19.
A car travels for a total of 11 hours. The car averages 75 miles per hour for w hours and
averages 60 miles per hour for the rest of the time. Express the total distance traveled by
the car in terms of w .
20.
Let S (t ) represent the linear function giving the yearly salary for a high school teacher t
years after 1985. The yearly salary for a high school teacher was $32,815 in the year 1997.
In the year 2012, the yearly salary for a high school teacher is $47,518. Give a formula for
the linear function S (t ) .