Match the vocabulary word to it's definition. (6 points)
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constant
coefficient
Distributive Property
factor
variable
like terms
constant: A number that does not change or vary in a given equation or expression.
coefficient: The numerical value that is multiplied by a variable in an algebraic equation or expression.
Distributive Property: The property that states that multiplying a sum or difference by a number is the same as multiplying each term separately and then adding or subtracting the products.
factor: A number or expression that is multiplied to another number or expression to obtain a product.
variable: A symbol or letter that represents an unknown value or quantity in an algebraic equation or expression.
like terms: Terms in an algebraic expression that have the same variable(s) raised to the same power(s).
1. constant - A value that doesn't change and has no variable attached to it. Example: 3 in the equation 4x + 3 = 11.
2. coefficient - A number that multiplies a variable. Example: 4 in the equation 4x + 3 = 11.
3. Distributive Property - The property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. Example: 2(x + 3) = 2x + 6.
4. factor - A number or expression that divides evenly into another number or expression. Example: In the equation 5x + 10 = 20, both 5 and 10 are factors because they divide evenly into 20.
5. variable - A symbol (usually a letter) used to represent an unknown or changing value. Example: x in the equation 3x + 7 = 16.
6. like terms - Terms that have the same variable(s) raised to the same power(s). Example: 3x and 5x are like terms because they both have the variable x raised to the first power.
To match the vocabulary word to its definition, follow these steps:
1. Understand the given vocabulary words:
- constant: a fixed value in an equation or expression.
- coefficient: the numerical factor of a term.
- Distributive Property: the property that states multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
- factor: a number or expression that divides evenly into another number or expression.
- variable: a symbol that represents an unknown value in an equation or expression.
- like terms: terms that have the same variables raised to the same exponents.
2. Match the definitions to the vocabulary words:
- constant: a fixed value in an equation or expression.
- coefficient: the numerical factor of a term.
- Distributive Property: the property that states multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
- factor: a number or expression that divides evenly into another number or expression.
- variable: a symbol that represents an unknown value in an equation or expression.
- like terms: terms that have the same variables raised to the same exponents.
3. Match the vocabulary words to their definitions:
- constant: a fixed value in an equation or expression.
- coefficient: the numerical factor of a term.
- Distributive Property: the property that states multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
- factor: a number or expression that divides evenly into another number or expression.
- variable: a symbol that represents an unknown value in an equation or expression.
- like terms: terms that have the same variables raised to the same exponents.
Therefore, the corresponding matches are:
- constant: a fixed value in an equation or expression.
- coefficient: the numerical factor of a term.
- Distributive Property: the property that states multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
- factor: a number or expression that divides evenly into another number or expression.
- variable: a symbol that represents an unknown value in an equation or expression.
- like terms: terms that have the same variables raised to the same exponents.