Question

Determine the correct way to model the equation 9x² = 8x(-6) with algebra tiles.

Answer 1

To model the equation 9x² = 8x(-6) with algebra tiles, start by representing both sides of the equation using tiles. Eliminate terms wherever possible by grouping tiles. The model of the equation is 1x = -7.

Step-by-step explanation:

To model the equation 9x² = 8x(-6) with algebra tiles, we need to represent both sides of the equation using the tiles.

1. Start by representing 9x² with a square of 9 tiles. Each tile represents x.
2. For the right side, we have 8x(-6). To represent this, we need 8 tiles, each representing x, and -6 tiles, each representing -1.
3. Place the square of 9 tiles on one side of the equation, and the 8 tiles and -6 tiles on the other side.
4. Now, we need to eliminate the terms wherever possible. In this case, we can group 8 tiles with 8 out of 9 tiles from the square, leaving us with 1 tile. We can also group the -6 tiles with the remaining tile from the square, leaving us with -7 tiles.
5. So, the model of the equation is 1x = -7.