Question

An algebra tile configuration. 3 tiles are in the Factor 1 spot: one is labeled + x and 2 are labeled negative. 4 tiles are in the Factor 2 spot: one is labeled + x and 3 are labeled negative. 12 tiles are in the Product spot: 1 is labeled + x squared, 5 are labeled negative x, and 6 are labeled negative.

Did Cherise use algebra tiles to correctly represent the product of (x – 2)(x – 3)?

Answer 1

Explanation:

No, Cherise did not use algebra tiles to correctly represent the product of (x - 2)(x - 3).

The correct algebra tile configuration for the product of (x - 2)(x - 3) would have 2 tiles in the Factor 1 spot, labeled -x and -2, respectively, and 3 tiles in the Factor 2 spot, labeled -x and -3 twice, respectively. The Product spot would have 6 tiles, labeled +x², -5x and +6 twice, respectively.

The given algebra tile configuration has 3 tiles in the Factor 1 spot and 4 tiles in the Factor 2 spot, which do not match the correct configuration for (x - 2)(x - 3). Additionally, the tile configuration in the Product spot is also incorrect, as it has 5 negative x tiles, whereas the correct configuration should have 3 negative x tiles.