Unit 6 Review

A shoe company is going to close one of its two stores and combine all the inventory from both stores. These polynomials represent the inventory in each store:

Store A:

 $\frac{1}{2}g^2+\frac{9}{2}$  

Store B:
 $4g^2-\frac{3}{5}g+\frac{3}{4}$  

Which expression represents the combined inventory of the two stores?

•  $\frac{9}{2}g^2-\frac{3}{5}g+\frac{21}{4}$  

•  $\frac{9}{2}g^2+\frac{39}{10}g+\frac{3}{4}$  

•  $-\frac{7}{2}g^2+\frac{3}{5}g+\frac{15}{4}$  

•  $-\frac{7}{2}g^2+\frac{51}{10}g-\frac{3}{4}$  

The area of a rectangular sheet of paper is represented by $14x^2+55x+21.$  If the length is  $\left(2x+7\right),$  what is the width of the paper?

•  $28x^2+114x+56$  

•  $7x+3$  

•  $3x+7$  

•  $28x^3+208x^2+427x+147$  

Find the area of the rectangle.

• $10x^2+8x-2$

• $7x+1$

• $14x+2$

• $10x^2+12x+2$

The area of a square is $16x^2+24x+9.$  If the length of one side of the square is  $4x+3,$  what is the other side length?

•  $4x-3$  

•  $16x^2+20x+6$  

•  $4x+3$  

•  $3x+4$  

Write an equivalent expression to:

 $\left(7-8s-12s^2\right)+\left(-s^2-11s-6\right)$  

•  $6s^2-19s-18$  

•  $-11s^2+3s+13$  

•  $12s^4+140s^3+153s^2-29s-42$  

•  $-13s^2-19s+1$  

Use the side lengths given to find the perimeter of the figure in terms of x.

• $11x^2-5x+17$

• $11x^2+19x+17$

• $8x^2-x+10$

• $7x^2+13x+3$