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Lesson 4 - Adding Polynomials



 
Match each step of the polynomial addition with the tile model.
a.

     grp001-1.jpg
b.

      grp001-2.jpg
c.

      grp001-3.jpg
d.

      grp001-4.jpg
 

 1. 

Model the sum of the polynomials: (5x2 + 2x - 4) + (-3x2 - 5x + 7).
 

 2. 

Group like terms.
 

 3. 

Use the zero principle.
 

 4. 

Model the simplified polynomial sum.
 
 
Match each polynomial sum with its simplified polynomial.
a.
-3y2 + 2y - 4
c.
-9y2 + 11x2 + 2x + 3y
b.
2x2 - 2x + 4
d.
-4xy + 3y2 + 11x
 

 5. 

(7x2 + 4x - 5) + (9 - 6x - 5x2)
 

 6. 

(3xy - 2y2 + 7x) + (5y2 - 7xy + 4x)
 

 7. 

(-6y2 + 7x2 - 4x + 5y) + (6x - 2y + 4x2 - 3y2)
 

 8. 

(2y2 - 6y + 3) + (-5y2 + 8y - 7)
 

 9. 

Which expression represents the perimeter of this parallelogram?
                mc009-1.jpg
a.
4x + 5y + 4
c.
8x - 5y + 6
b.
8x + 10y + 8
d.
6x + 6y - 6
 

 10. 

Which expression represents the perimeter of this triangle?

                   mc010-1.jpg
 
a.
4x - y + 2
c.
8x + 2y + 2
b.
8x - 2y + 4
d.
-8x + 2y - 2
 



 
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