Question
Which is the correct way to model the equation Negative x + 8 = 7 x + (negative 8) using algebra tiles?
1 positive x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 positive unit tiles on the right side
8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
8 positive x-tiles and 1 negative unit tile on the left side; 8 negative x-tiles and 7 positive unit tiles on the right side
1 positive x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 positive unit tiles on the right side
8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
8 positive x-tiles and 1 negative unit tile on the left side; 8 negative x-tiles and 7 positive unit tiles on the right side
Answers
GPT-4o mini
To model the equation \(-x + 8 = 7x + (-8)\) using algebra tiles, let's break it down:
1. The left side of the equation is \(-x + 8\):
- This means you have 1 negative \(x\)-tile and 8 positive unit tiles.
2. The right side of the equation is \(7x + (-8)\):
- This translates to 7 positive \(x\)-tiles and 8 negative unit tiles.
Thus, the correct way to model the equation using algebra tiles is:
**1 negative \(x\)-tile and 8 positive unit tiles on the left side; 7 positive \(x\)-tiles and 8 negative unit tiles on the right side.**
This corresponds to the option:
**3. 1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side.**
1. The left side of the equation is \(-x + 8\):
- This means you have 1 negative \(x\)-tile and 8 positive unit tiles.
2. The right side of the equation is \(7x + (-8)\):
- This translates to 7 positive \(x\)-tiles and 8 negative unit tiles.
Thus, the correct way to model the equation using algebra tiles is:
**1 negative \(x\)-tile and 8 positive unit tiles on the left side; 7 positive \(x\)-tiles and 8 negative unit tiles on the right side.**
This corresponds to the option:
**3. 1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side.**