Question
Which is the correct way to model the equation 5 x + 6 = 4 x + (negative 3) using algebra tiles?
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
6 positive x-tiles and 5 positive unit tiles on the left side; 3 negative x-tiles and 4 positive unit tiles on the right side
5 positive x-tiles and 6 negative unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 positive unit tiles on the right side
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
6 positive x-tiles and 5 positive unit tiles on the left side; 3 negative x-tiles and 4 positive unit tiles on the right side
5 positive x-tiles and 6 negative unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 positive unit tiles on the right side
Answers
GPT-4o mini
To model the equation \( 5x + 6 = 4x - 3 \) with algebra tiles, we should correctly interpret each term in the equation.
1. **Left side of the equation \(5x + 6\)**:
- This means we need **5 positive x-tiles** (to represent the \(5x\)) and **6 positive unit tiles** (to represent the \(+6\)).
2. **Right side of the equation \(4x - 3\)**:
- Here, we have **4 positive x-tiles** (to represent the \(4x\)) and **3 negative unit tiles** (to represent the \(-3\)).
Given this interpretation, we can match it to the options provided:
- **Correct modeling**: \( 5 \) positive x-tiles and \( 6 \) positive unit tiles on the left side; \( 4 \) positive x-tiles and \( 3 \) negative unit tiles on the right side.
Therefore, the correct answer is:
**5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side.**
1. **Left side of the equation \(5x + 6\)**:
- This means we need **5 positive x-tiles** (to represent the \(5x\)) and **6 positive unit tiles** (to represent the \(+6\)).
2. **Right side of the equation \(4x - 3\)**:
- Here, we have **4 positive x-tiles** (to represent the \(4x\)) and **3 negative unit tiles** (to represent the \(-3\)).
Given this interpretation, we can match it to the options provided:
- **Correct modeling**: \( 5 \) positive x-tiles and \( 6 \) positive unit tiles on the left side; \( 4 \) positive x-tiles and \( 3 \) negative unit tiles on the right side.
Therefore, the correct answer is:
**5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side.**