Question
The model below represents an equation.
2 long x tiles and 3 square 1 tiles = 3 long x tiles
Which represent like terms in the model of the equation?
2 long x tiles and 3 square 1 tiles
2 long x tiles and 3 long x tiles
3 long x tiles and 3 square 1 tiles
1 long x tile and 1 square 1 tile
2 long x tiles and 3 square 1 tiles = 3 long x tiles
Which represent like terms in the model of the equation?
2 long x tiles and 3 square 1 tiles
2 long x tiles and 3 long x tiles
3 long x tiles and 3 square 1 tiles
1 long x tile and 1 square 1 tile
Answers
GPT-4o mini
In the equation represented by the model, "2 long x tiles and 3 square 1 tiles = 3 long x tiles," we need to identify which of the given options represent like terms.
Like terms are terms that have the same variable raised to the same power. In this case, "long x tiles" and "square 1 tiles" represent different types of terms because they have different dimensions related to the variable \(x\).
Now, let's analyze the options:
1. **2 long x tiles and 3 square 1 tiles** - These are not like terms because "long x tiles" and "square 1 tiles" are different.
2. **2 long x tiles and 3 long x tiles** - These are like terms because both involve "long x tiles."
3. **3 long x tiles and 3 square 1 tiles** - These are not like terms because "long x tiles" and "square 1 tiles" are different.
4. **1 long x tile and 1 square 1 tile** - These are not like terms because "long x tile" and "square 1 tile" are different.
Therefore, the only option that represents like terms is **2 long x tiles and 3 long x tiles**.
Like terms are terms that have the same variable raised to the same power. In this case, "long x tiles" and "square 1 tiles" represent different types of terms because they have different dimensions related to the variable \(x\).
Now, let's analyze the options:
1. **2 long x tiles and 3 square 1 tiles** - These are not like terms because "long x tiles" and "square 1 tiles" are different.
2. **2 long x tiles and 3 long x tiles** - These are like terms because both involve "long x tiles."
3. **3 long x tiles and 3 square 1 tiles** - These are not like terms because "long x tiles" and "square 1 tiles" are different.
4. **1 long x tile and 1 square 1 tile** - These are not like terms because "long x tile" and "square 1 tile" are different.
Therefore, the only option that represents like terms is **2 long x tiles and 3 long x tiles**.