Question

Determine the correct way to model the equation 9x + 2 = 8x + (−6) with algebra tiles.

For the left side of the equation:


positive x-tiles

positive unit tiles

For the right side of the equation


positive x-tiles

negitive unit tile

Answer 1

To model the equation \( 9x + 2 = 8x - 6 \) using algebra tiles, you can represent various components of the equation with specific types of tiles.

### Left Side of the Equation: \( 9x + 2 \)

1. **Positive x-tiles**: You would need **9 positive x-tiles** to represent the \( 9x \) term.
2. **Positive unit tiles**: You would need **2 positive unit tiles** to represent the \( +2 \).

### Right Side of the Equation: \( 8x - 6 \)

1. **Positive x-tiles**: You would need **8 positive x-tiles** to represent the \( 8x \) term.
2. **Negative unit tiles**: You would need **6 negative unit tiles** to represent the \( -6 \).

### Summary

So the setup with algebra tiles would look like this:

- **Left side**:
- 9 positive x-tiles
- 2 positive unit tiles

- **Right side**:
- 8 positive x-tiles
- 6 negative unit tiles

This representation will allow you to visualize the equation and solve it by rearranging the tiles accordingly.