Question

5 positive x-tiles and 1 positive unit tile to represent 5x + (– 1) 2 negative x-tiles and 6 positive unit tiles to represent –2x + 6 Which statement explains Garcia’s error?

Answer 1

5 positive x-tiles and 1 positive unit tile to represent 5x+(-1) , explains Gracia's error.

Explanation:

Garcia is modeling the equation 5x + (-1) = -2x +6 by using the following tiles

5 positive x-tiles and 1 positive unit tile to represent 5x + (– 1)

2 negative x-tiles and 6 positive unit tiles to represent –2x + 6

we know that

5 positive x-tiles and 1 positive unit tile to represent 5x + ( 1)

while we are given 5x+(-1)

So, there are 1 negative unit tiles

so, option-A

Answer 2

Case 1 :

5 positive x-tiles = 5x

1 positive unit tile = 1

5 positive x-tiles and 1 positive unit tile = 5x + 1

Case 2 :

2 negative x-tiles = -2x

6 positive unit tiles = 6

so, 2 negative x-tiles and 6 positive unit tiles = -2x+6

We see that Gracia has represented the 1st case as 5x+(-1), which should be 5 positive x-tiles and 1 negative unit tile.

Hence the statement : 5 positive x-tiles and 1 positive unit tile to represent 5x+(-1) , explains Gracia's error.