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:
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2 long x tiles and 3 square 1 tiles - These are not like terms because "long x tiles" and "square 1 tiles" are different.
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2 long x tiles and 3 long x tiles - These are like terms because both involve "long x tiles."
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3 long x tiles and 3 square 1 tiles - These are not like terms because "long x tiles" and "square 1 tiles" are different.
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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.
1 answer