Name: ___________________________________
Period: ______
Algebra 1
MP 1 / Quiz #3
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!!!

1. Perform the indicated operation. Remember, your answer must be in simplest radical form.
a.
3 24  4 96  3 54
b.
Simplify:
7 450x3 y 2 z
2. Below is a list of numbers. Use the boxes provided to put them in order from greatest to least.
a.
2 18,
135
17
, 8 ,
16
31
8.5
3. Find the LCM and the GCF of each set of numbers below. Be sure to show the prime factorization
(PF) in the space provided. (one point each)
a.
450
and 315
b.
196a5b5c 2
and 84a5b7 c
450 PF: ________________________
196 PF: _________________________
315 PF: ________________________
84 PF: _________________________
LCM: __________________________
LCM: _________________________
GCF: __________________________
GCF: __________________________
4. Remove the GCF from each expression below. Your answer must be in fully factored form.
21m6 n3  14m n3  28m 2 n3
a.
. 5.
. 6.
A1.1.1.2.1
What is the greatest common factor of the
3 5
45a 5b 2c3  81a 4b 4c3  18a 3b 2c 2
b.
A1.1.1.2.1
What is the least common multiple of the
5 2
monomials 21m3n5 and 28m6 n2 ?
monomials 24a b and 40a b c ?
3 2
A. 4a b
5 5
B. 4a b c
3 2
A. 7m n
6 5
B. 7m n
5 5
C. 8a b c
3 2
D. 8a b
6 2
C. 84m n
6 5
D. 84m n
. 7.
. 8.
A1.1.1.2.1
A scientist wrote this polynomial to represent the
expected speed of a rocket.
A1.1.1.2.1
Which of the options below represents the fully
factored form of 36t 3  24t 2  18t ?
40t 3  32t 2  24t
The scientist needs to factor this polynomial.
What is the correct, fully factored form?

A. 4t 10t 2  8t  6



C. 2t 20t 2  16t  12
B. 8t 5t 2  4t  3


D. 8t 5t 2  4t  3




2
C. 6t 6t  4t  3

2
B. 6t 6t  4t  1
A. 9t 3


2
D. 12t 3t  2t  6

Open-Ended
1. Create a three term expression that has a greatest common factor of 8ab 3c 4
2. “Show or Explain”
Use correct mathematical processes to show that your answer from Part 1 is correct. Please also use full
sentences to explain how you know your answer from Part 1 is correct.
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