Let's break down the expression [tex]\( w^2 + 5w \)[/tex] and match the given math vocabulary to the parts of this expression.
1. The entire expression [tex]\( w^2 + 5w \)[/tex] is called an expression. In mathematics, an expression is a combination of variables, coefficients, and constants, connected by operators like addition or multiplication.
Pair: [tex]\(\boxed{w^2+5 w}\)[/tex]
2. The [tex]\( w \)[/tex] in [tex]\( w^2 + 5w \)[/tex] is referred to as the variable. A variable is a symbol that represents an unknown value.
Pair: [tex]\(\boxed{\text{the } w \text{ in } w^2+5 w}\)[/tex]
3. The 2 in [tex]\( w^2 + 5w \)[/tex] is called the exponent. An exponent refers to the power to which a number, variable, or expression is to be raised.
Pair: [tex]\(\boxed{\text{the 2 in } w^2+5 w}\)[/tex]
4. The 5 in [tex]\( w^2 + 5w \)[/tex] is called the coefficient. A coefficient is a numerical factor that multiplies a variable in a term.
Pair: [tex]\(\boxed{\text{the 5 in } w^2+5 w}\)[/tex]
5. The [tex]\( w^2 \)[/tex] or the [tex]\( 5w \)[/tex] in [tex]\( w^2+5w \)[/tex] are called terms. In an expression, a term is a single mathematical quantity that can be a constant, a variable, or the product of a constant and one or more variables.
Pair: [tex]\(\boxed{\text{the } w^2 \text{ or the } 5w \text{ in } w^2+5 w}\)[/tex]
In summary, we have matched the vocabulary to parts of the expression as follows:
1. Expression: [tex]\( w^2 + 5w \)[/tex]
2. Variable: The [tex]\( w \)[/tex] in [tex]\( w^2 + 5w \)[/tex]
3. Exponent: The 2 in [tex]\( w^2 + 5w \)[/tex]
4. Coefficient: The 5 in [tex]\( w^2 + 5w \)[/tex]
5. Terms: The [tex]\( w^2 \)[/tex] or the [tex]\( 5w \)[/tex] in [tex]\( w^2 + 5w \)[/tex]
The unused tiles are constant and equation.
