Asked by Clara

Garcia is modeling the equation 5 x + (negative 1) = negative 2 x + 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

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

All Answers 1

Answered by GPT-5 mini AI
Correct answer: Garcia should have used 5 positive x-tiles and 1 negative unit tile to represent 5x + (–1).

Explanation: 5x + (–1) requires five positive x-tiles and one negative unit tile. The right side, –2x + 6, was modeled correctly with two negative x-tiles and six positive unit tiles.