Name: ___________________________________
Period: ______
Algebra 1
MP2 / Quiz #7
Date: _______________________
MP %
Directions:




NO WORK EQUALS NO CREDIT
Circle all final answers and/or put them in the provided space.
Each part of each question is worth three points
THINK!!!

Factor each expression below. The first two problems only require one step.
Problem:
Step 1
(2 points each)
Final Answer
1. x 2  2 x  80
1. ________________________
2. x 2  25
2. _______________________
3. 3 x 2  21x  54
______________________
3. ________________________
4. 5 x 2  60 x  55
______________________
4. ________________________
5. 20 x 2  80
______________________
5. ________________________
6. Simplify each expression.
a.
x 2  9 x  18
x2  9
b.
24 x 2
8x2  4 x
x  x  4   12
x 2  12 x  36
c.
. 7.
2  x  3
x 2  5 x  24
2
d.
. 8.
A1.1.1.5.3
A1.1.1.5.3
What common factor can be removed from the
What common factor can be removed from the
x  3x  28
numerator and denominator of 2
?
x  7 x  12
3x 2  30 x  27
numerator and denominator of
?
x 2  81
2
A.
 x  7
B.
 x  3
A.
C.
 x  4
D.
 x  4
C.
. 9.
. 10.
A1.1.1.5.3
3
 x  9
The rational expression
2x  6
2 x  16 x  30
?
to
 x  1
D.
 x  9
A1.1.1.5.3
Simplify:
2
B.
3x 2  11x  6
simplifies
x 2  7 x  30
3x  2
. What common factor was removed
x  10
from the numerator and the denominator?
A.
1
x 5
B.
2
x 5
A.
C.
x 5
D.
2x 10
C.
 3x  2 
 x 10
B.
 x  3
D.
 x  3
Open-Ended
A very new company produces blankets. The company uses the expressions below to estimate their
revenue and anticipated expenses associated with their business. Let n represent the number of blankets
they produce and sell.
Revenue: 12n 2  48
Expenses: 8n 2  80n  128
A. The goal of the company is to produce and sell 40 blankets per week. If their goal is met, what would be
the revenue and anticipated expenses?
Revenue: _____________________
Expenses: _____________________
B. When these two expressions are written as a ratio of revenue to expenses, the ratio would be:
12n 2  48
8n 2  80n  128
What
is the fully
form of
this
ratio? of n that would result in division by zero. In this
Algebraically,
wesimplified
must eliminate
any
value(s)
situation, what are the value(s) of n that must be excluded?
Final Answer: ______________________________
C.
If the company produced and sold 20 blankets their first week, would they be making money?
Defend your answer by writing two or more full sentences.
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Extra Credit:
What is the minimum number of blankets the company must sell so that their revenue exceeds their expenses?
Show or explain how you got your answer.
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