Name: ___________________________________
Period: ______
Algebra 1
MP 2 / Quiz #6
Date: _______________________
MP %
Directions:
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
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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 unless otherwise noted.
THINK!!!

Factor each expression below. The first four problems only require one step.
Problem:
Step 1
(2 points each)
Final Answer
1.
x 2  12 x  27
1. ________________________
2.
x 2  81
2. _______________________
3.
x 2  x  42
3. ________________________
4.
x 2  8 x  48
4. ________________________
5. 4 x 2  28 x  48
______________________
5. ________________________
6. 3x 2  75
______________________
6. ________________________
7. 3 x 2  54 x  240
______________________
7. ________________________
8. 2 x 2  32 x  128
______________________
8. ________________________
9. 10 x 2  40
______________________
9. ________________________
10. 2 x 2  10 x  72
______________________
10. ________________________
11. 16 x 2  16
______________________
11. ________________________
. 12.
. 13.
A1.1.1.5.2
When the expression x  14 x  48 is factored
completely, which is one of its factors?
2
A1.1.1.5.2
2
When the expression x  3 x  54 is factored
completely, one of the factors is  x  6  . What is
the other factor?
A.
 x  8
B.
 x  6
A.
 x  8
B.
 x  9
C.
 x  4
D.
 x  12
C.
 x  9
D.
 x  6
. 14.
. 15.
A1.1.1.5.2
A quadratic expression is shown below.
A1.1.1.5.2
A quadratic expression is shown below.
x 2  10 x  m
x 2  bx  24
What value of m would make the expression
factor?
What value of b would make the expression
factor?
A.
5
B.
11
A.
9
B.
11
C.
16
D.
20
C.
12
D.
15
. 16.
. 17.
A1.1.1.5.2
A quadratic expression is shown below.
x  bx  27
2
C.
12 and 12
Which answer choice represents the factored form
of 4 x 2  25 x  21 ?
A.
 4x  3 x  7 
B.
 4x  3 x  7 
B. 6 and 12
C.
 2x  3 2x  7 
D. 6 and 28
D.
 2x  3 2x  7 
What answer choice below shows two possible
values of b that would allow the expression
factor?
A. 3 and 9
A1.1.1.5.2
Open-Ended
1. What is the simplified form of the expression shown below? Be sure to write your answer in standard form.
 2 x  7  2 x  7   3x  x  3  1  9 x  x 2 
Answer: ______________________________________________
2. Look at your final answer from Part 1. Can it be factored? If so, factor it. If it cannot be factored, use full
sentences to explain why it cannot.
3. A quadratic expression is shown below. There are eight different values of b that will allow it to factor.
Identify one value of b, rewrite the problem showing the b-value you’ve chosen, and then factor it. Use two or
more full sentences to explain how you determined your b-value.
x 2  bx  70
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