Algebra 1
Name: _________________________________
Unit 5: Practice Quiz 2
Date: _________________ Period: _________
“PRACTICE” QUIZ 2… Simplifying Polynomials
Part 1: Find the sum or difference.
_____________________1)
8x
2
 1  3x 2  2
_____________________2)
3x
3
 10 x  5  x 3  4 x  6
_____________________3)
x
_____________________4)
16  13x  10x  11
_____________________5)
7 x
_____________________6)
 3x
2
 

 
 
 6x  5  x 2  x  2
 



 1  15x 3  4 x 2  x  3
3
3
 
 

 x  11   4 x 3  x 2  x  x 2  3
Part 2: Write the polynomial in standard form.
_____________________7)
5  12k  4k 2
_____________________8)
a 4 11a 5  8a 7  2a 6
Part 3: Find the product of each polynomial expression.


_____________________9)
 4 x x 2  8x  3
_____________________10)
x  4x  2
_____________________11)
2 x  33x  1
_____________________12)
2x  52x  5
_____________________13)
7 x  32
_____________________14)
10x  y 4x  y 
_____________________15)
x  9x  9
_____________________16)
2 
1

 3m   m  
3 
3

_____________________17)
2 x  8x 2

 7x  3
Part 4: Applications.
____________________18)
A polynomial expression is shown below.
(mx 2  1)(3x 2  6 x  4)  (9 x 4  4 x 2 )
The expression is simplified to  18x 3  5x 2  6 x  4 .
What is the value of m?
A) 1
____________________19)
B)  3
C) 3
D)  1
Clifford the “Big Red Dog” creates a painting
on a rectangular canvas with a width that is 5
inches longer than the height, as shown in the
diagram to the right.
h
If Clifford adds a 2.5-inch-wide frame around
all sides of his canvas, write a polynomial expression,
in simplified form, that represents the total area of
the canvas and the frame.
____________________20)
Find an expression for the area of the given figure.
Hint: A 
1
h(b1  b2 )
2
5x  7
x 1
3x  4
h+5