Name
Date:
CP Algebra I
Unit 7: Monomials and Polynomials
Directions: Determine whether each expression is a monomial. If it is a monomial, write the
term’s degree next to the monomial.
6b 2 g 3 p 8
1.
2.
4
f
5
2
3.
(5) x
Directions: Write the following polynomials in descending order. Then determine the degree
of the polynomial and the leading coefficient.
4.
5z 2  9 z  2 z 3  32
5.
7
y  18 y 32  y 5
100
6.
k 8  6k 3  8k 2  4k 4
7.
6 j  43 j 2  j 4  56  10 j 3
Directions: Add or subtract the following polynomials. Be sure that your answer is in
descending order. Determine the degree and leading coefficient of your sum/difference.
8.
7t
2
 6t  8  4t 2  3t  12
10.
5t
2
 t  9  3t 2  t  10
Page 1
 
 


9.
21m  6m
11.
m  2m
2
2
 
 4  9  4m  5m 2
 
 11  4  m  7m 2


Multiplying Polynomials
Directions: Multiply the following monomials into the given polynomials. Write your
answer in descending order.
12.

6x 4x 2  7 x  2

13.


 2w4 7w2  8w7  w  3
Directions: Multiply the following two binomials using the FOIL method:
14.
x  3x  5
15.
2 x  8x  2
16.
 5x
17.
 7 x
2

 3 4 x  1
2

 3x 8x  10
18. A rectangle has an area of 50 square inches. If the length is (x + 2) inches and the width
is (x + 7) inches, set up an equation to model this rectangle’s area.
(Hint: Draw a picture!)