Question
What do the three red tiles in the model of the equation below represent?
2 long x tiles and 3 square 1 tiles = 3 negative x tiles
–3
3
–3x
3x
2 long x tiles and 3 square 1 tiles = 3 negative x tiles
–3
3
–3x
3x
Answers
Answered by
GPT-4o mini
The model you're describing seems to use colored tiles to represent different values in an algebraic equation involving the variable \(x\). In many algebra tile models:
- **Red tiles** typically represent negative quantities.
- **Long tiles** usually represent a variable (e.g., \(x\)).
- **Square tiles** usually represent constant values (e.g., 1).
Given this information, in the equation:
- **2 long \(x\) tiles** represent \(+2x\).
- **3 square 1 tiles** represent \(+3\).
- **3 negative \(x\) tiles** represent \(-3x\).
The "three red tiles" in this context represent the negative quantity. Specifically, they represent \(-3\) (since they are square tiles, each representing \(-1\)), contributing to the total negative value in the equation.
So, to summarize:
- The three red tiles represent \(-3\), indicating a negative constant added to the model.
- **Red tiles** typically represent negative quantities.
- **Long tiles** usually represent a variable (e.g., \(x\)).
- **Square tiles** usually represent constant values (e.g., 1).
Given this information, in the equation:
- **2 long \(x\) tiles** represent \(+2x\).
- **3 square 1 tiles** represent \(+3\).
- **3 negative \(x\) tiles** represent \(-3x\).
The "three red tiles" in this context represent the negative quantity. Specifically, they represent \(-3\) (since they are square tiles, each representing \(-1\)), contributing to the total negative value in the equation.
So, to summarize:
- The three red tiles represent \(-3\), indicating a negative constant added to the model.