Let's break down each part of the expression \( w^2 + 5w \) and match it with the appropriate math vocabulary tile.
1. Expression: The entire mathematical phrase \( w^2 + 5w \) is called an expression. It consists of terms, operations, and possibly variables but does not include an equality sign like an equation.
2. Term: A term can be a single number, a variable, or numbers and variables multiplied together. Here, \( w^2 \) and \( 5w \) are both terms in the expression \( w^2 + 5w \).
3. Variable: A variable is a symbol used to represent an unknown value. In this case, the \(w\) in the expression is the variable.
4. Exponent: An exponent indicates how many times a number or variable is multiplied by itself. In the term \( w^2 \), the 2 is the exponent.
5. Coefficient: A coefficient is a number that multiplies a variable. In the term \( 5w \), the 5 is the coefficient.
Now, let's match the vocabulary tiles to parts of the expression:
- Expression: \( w^2 + 5w \)
- Variable: the \( w \) in \( w^2 + 5w \)
- Exponent: the 2 in \( w^2 + 5w \)
- Coefficient: the 5 in \( w^2 + 5w \)
- Term: the \( w^2 \) or the \( 5w \) in \( w^2 + 5w \)
So, the proper pairs are:
- Expression: \( w^2 + 5w \)
- Variable: the \( w \) in \( w^2 + 5w \)
- Exponent: the 2 in \( w^2 + 5w \)
- Coefficient: the 5 in \( w^2 + 5w \)
- Term: the \( w^2 \) or the \( 5w \) in \( w^2 + 5w \)
The two tiles that are not used are constant and equation.
