Question
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Match the math vocabulary to parts of the expression \( w^{2}+5 w \). Two tiles will not be used. Tiles Pairs equation therm \( w^{2}+5 w \) the 2 in \( w^{2}+5 w \)

Ask by Rose Burgess. in the United States
Feb 26,2025

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Tutor-Verified Answer

Answer

The expression \( w^{2}+5w \) has two terms: \( w^{2} \) and \( 5w \). The number 2 in \( w^{2} \) is the exponent. The tiles “pairs” and “equation” are not used.

Solution

One correct way to match the vocabulary is as follows. Notice that  • w² + 5w is an algebraic expression (it has no equals sign, so it is not an equation).  • It is made up of two parts added together. Each part is called a term (the term w² and the term 5w).  • In the term w² the little 2 is the exponent—it tells you the power to which w is raised. Thus, when matching the tiles to parts of the expression:  – “the term w² + 5w” should be matched with the entire expression (it is an expression made up of terms), and  – “the 2 in w² + 5w” should be matched with the exponent in the term w². The other two tiles (one labeled “equation” and the one labeled “pairs”) are not used since the expression isn’t an equation and “pairs” is not a relevant term in this context. Any answer that identifies the expression as having two terms (w² and 5w) and recognizes the 2 as the exponent in w² is correct.

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Beyond the Answer

The expression \( w^{2}+5 w \) can be broken down into two main parts: the term \( w^{2} \) and the term \( 5w \). The term \( w^{2} \) includes the exponent, while \( 5w \) is a linear term where 5 serves as the coefficient. The "2" in \( w^{2} \) represents the exponent that indicates how many times the base \( w \) is multiplied by itself. In matching the tiles, the pairs would look something like this: "Pairs equation" would correspond to the complete expression \( w^{2}+5w \), while "the 2 in \( w^{2}+5w \)" specifically matches the exponent from the term \( w^{2} \). Thus, two tiles not used might focus on other properties like constants or variables irrelevant to this expression.

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