Applied Practice with
Adding Polynomials
Topic Index | Algebra Index | Regents Exam Prep Center


Answer each of the following questions:

 
 

1.

The sides of a triangle are represented by the expressions 
  
2x2 + 4
,    5x2 – 6x   and    8x + 3.
Which of the answers is the simplest expression for the perimeter of the triangle?
                                           

Choose:

7x2 + 2x + 7
7x2 + 14x + 7
3x2 + 2x + 1  

 

 

2. A circular courtyard has an area of
10 – 2x2.  There are two rectangular flower beds in the courtyard. Which of the following expressions represents the green lawn area.

Sappli1.jpg

Choose:

(10 – 2x2) – (2x2 + 3x2) = 10 + 3x2
(10 – 2x2) – 2x2 – 3x2 = 10 – 7x2
(10 – 2x2) – 2x2 – 3x2 = 10 – 3x2 

 

 

3. A floor game uses a grid comprised of two dark gray and two white squares.  If each floor grid has 4 squares, and the side of each square in the grid is represented by 3a, represent the area of the entire 4 square floor grid.
                                                   

Choose:

9a2
36a2
27a  

 


 

4. The lengths of the correct paths through a maze are represented by  3x2 + 6,    2x2x  7x + 2
5x2 - 3
,   -4x2 + 1and  8x + 3.

Which of the answers represents the length of the correct path through the maze?
                           

Choose:

6x2 + 9
14x2 + 14x + 9
6x2 + 14x + 9  

 


 

5. While Stacey loves the wild rabbits in her back yard, she would like to keep the little critters out of her vegetable garden.  If her vegetable garden is a rectangle whose width is represented by 5x2 + 3x and whose length is represented by 2x2 + 4, which of the answers represents the amount of fencing needed to enclose the veggie garden?

                        

Choose:

14x2 + 6x + 8
14x2 + 14x
14x2 + 14