Algebra Tiles: Factoring with Area Models

What is the area? There are 2 answers.

• 2x² + 5x + 7

• x² + 5x + 7

• x² + 5x + 6

• (x+2)(x+3)

Based on the algebra tiles, what are the equivalent factors of this polynomial if one of them is (x-1)?

• (x-1)(x-3)

• (x-1)(x-2)

• (x+2)(x+1)

• (x -1)(x+2)

Which expression is equivalent to the area of the rectangle?

Hint: A = L x W

• 2x + 8

• 4x

• 8x + 1

• 2x + 4

Which side represents the factor (x-1)?

• top

• left

Which side represents the factor (x+4)?

• top

• left

If the area of the rectangle is x² - 5x + 6, which expression represents L x W, given W =(x-2)?

• (x+3)(x+2)

• (x-3)(x-2)

• (x-6)(x-2)

• (x-3)(x-1)

Given the length is (2x+3), which of the following expressions is equivalent to the area of the rectangle?

• (2x+3)(x+2)

• (x+2)(x+3)

• (2x+4)(x+7)

• (2x+1)(x+3)

What is the area of the rectangle if L = (x-2)?

• 3x² - 3x + 2

• x² - 3x + 2

• x² - 3x - 2

What is the equivalent expression for the are of the rectangle? Given A = (x+3)(_____)

• (x+1)(x+3)

• (x-6)(x+1)

• (x-2)(x-3)

• (x+3)(x-2)

Which expression is equivalent to the trinomial below?  $x^2-7x+12$  

• (x-4)(x-3)

• (x-7)(x+12)

• (x+2)(x+6)

• (x-1)(x-12)