Name: ___________________________________
Period: ______
Date: _______________________
Algebra 1
Unit 1 / Quiz #4
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. Simplify each of the following expressions. Your answer should contain only positive exponents.
a.
c.
e.
13x7 y 2 6 x 4 y3
b.
28a 3b 4c 0
21a 9b8c 3
 2m n p 
d.
14a 7b3 3a 4b3
6 3
5y x

3 6 2
0 3
 xy

3 4
f.
 4x
3
y 1 z 
4
4 xy 5 z 2
x 5
. 2.
. 3.
A1.1.1.1.3
98a nb 4
7a 5
The expression
simplifies to 3 . What
14a 5b
b
A1.1.1.1.3
What is the value of this expression?
4 7 45
45 45
must be the value of n?
A. 5
B.
10
C. 15
D.
25
. 4.
A1.1.1.1.3
What would be the value of the following
expression if a  5 and b  3 ?
9
C. 45
. 6.
12
B. 16
C.
16 2
D. 4
. 5.
10
A1.1.1.1.3
2
What is the fully simplified form of 8
35a 5 b 6
7 a 6b 4
A.
A.
B. 9
8
A.
1
B.
C.
8
D.
1
8
D. 45
A1.1.1.1.3
An engineer designed a solar pool cover in the shape
of a rectangle. The monomials that describe the length
and width are pictured below. What is the correct
expression for the area of this rectangle?
. 7.
A1.1.1.1.3
What does the following expression simplify to?
8 
8 
1 3
 4 2
7x6 y3
11x12 y 9
A.
A.
C.
77x 2 y 3
77x 6 y 6
64 ?
B. 77x18 y 27
D. 77x18 y12
1
85
C. 85
B. 8 5
D. 82
Open-Ended
The following expressions all use the same values for n, p, and q.
114  11n simplifies to 1112
5n
simplifies to 5 p
2
5
7
p
 72  simplifies to 7 q
3
a. What is the value of n in the first expression above?
Answer: ____________________________
b. What is the value of p in the second expression above?
Answer: ____________________________
c. What is the value of q in the third expression above?
Answer: ____________________________
d. Use full sentences to explain how you found each of your answers.
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