Unit 7 Test review

Rectangle ABCD has a length represented by the expression 3x - 1 and a width represented by the expression 7x +2. Rectangle PQRS has a length represented by the expression 2x + 3 and a width represented by the expression x - 5. Which expression can be used to represent the difference in the perimeters of Rectangle ABCD and Rectangle PQRS?

• 14x - 2

• 14x + 6

• 10x + 3

• 20x + 2

Which expression is equivalent to

5.2x + (0.5y - 7y) + 0.6 - (3.7x +2 -4.3y)?

• 2x + 3.1y - 0.5

• 2.1x - 4.2y + 0.7

• 1.5x - 2.7y - 0.9

• 2.2x - 5.1y + 0.3

What is the quotient of  $\frac{85\ -\ 34x}{2x\ -\ 5}$  ?

• -17

• 42.5

• 17

• -17 + 170

Rectangle ABCD has a length represented by the expression 8x - 2 and a width represented by the expression 4x + 3. Rectangle JKLM has a length represented by the expression x - 8 and a width represented by the expression 5x + 9. Which expression can be used to represent the sum of the perimeters of rectangle ABCD and rectangle JKLM.

• 24 - 2

• 36x + 4

• 24x + 2

• 12x - 3

A location of a wall mural is marked off as shown above.

Which expression represents the area covered by the wall mural?

• $6x^2\ +\ 31x\ +40$

• $5x^2+13x\ +40$

• $5x\ +\ 6$

• $10x\ +12$

A patio floor is represented by the diagram shown above.

The concrete on the patio floor is to be stained. Which expression represents the area to be covered by the stain?

• $4x^2\ +\ 15x\ -49$

• $4x^2$

• $4x^4\ -\ 49$

• $8x^2$

Which expression is a factor of  $x^2\ -13x\ -30$  ?

•  $x\ -\ 6$  

•  $x\ -\ 15$  

•  $x\ +\ 5$  

•  $x\ -\ 10$  

Isaac is working on a project for art class using a computer graphics program. Isaac wants to create a rectangular framework for the final graphic. The area to be enclosed by the framework is represented by the expression  $6x^2\ -\ 13x\ +\ 6$  . What expressions can be used to represent the length and width of the rectangular framework?

•  $\left(2x\ +4\right)\left(2x\ +\ 4\right)$  

•  $\left(x\ -6\right)\left(x+8\right)$  

•  $\left(3x-4\right)\left(2x+6\right)$  

•  $\left(2x\ -\ 3\right)\left(3x\ -\ 2\right)$  

Which factors if any best represent  $3x^2\ -\ 11x\ +10$  ?

•  $\left(3x\ -\ 5\right)\left(x\ -\ 2\right)$  

•  $\left(3x+5\right)\left(x\ +\ 2\right)$  

•  $\left(3x\ -5\right)\left(x+2\right)$  

•  $\left(3x\ +2\right)\left(x-5\right)$  

Which expression is a factor of  $121x^2\ -\ 81y^2$  ?

•  $11x\ +\ 9$  

•  $11x\ -\ 9$  

•  $11x\ -\ 9y$  

•  $11x\ +81y$