Question

Armando used algebra tiles to represent the product 3 x (2 x minus 1). An algebra tile configuration. 3 tiles are in the Factor 1 spot and are labeled + x. 3 tiles are in the Factor 2 spot: 2 are labeled + x and 1 is labeled negative. 15 tiles are in the Product spot: 2 are labeled + x squared, 4 are labeled + x, 1 is labeled negative x, and 4 are labeled negative. Which is true regarding Armando’s use of algebra tiles? He used the algebra tiles correctly. He did not represent the two original factors correctly. The signs on some of the products are incorrect. Some of the products do not show the correct powers of x.

Answer 1

Some of the products do not show the correct powers of x.

Explanation:

From the picture,

3x(2x - 1) = 6x² - 3x

The correct display on the tile should look like this :

_____+x ______ +x ______ +x

+x __ +x² ______+x² ______+x²

|

+x__ +x² ______ +x² ______+x²

|

- ___ -x _______ -x _______-x

+6x² - 3x