Algebra 1 Chapter 1 Vocabulary

Study Notes

Algebra 1 Vocabulary Study Notes

Variable: A symbol (e.g., x, y) representing a variable quantity in expressions.
Variable Expression: Comprises constants, variables, and mathematical operations.
Numerical Expression: An expression that involves only numbers and operations.
Power: A mathematical expression formed by a base raised to an exponent.
Exponent: Denotes how many times the base is multiplied by itself, shown as a raised number.
Base: The number in a power that is repeatedly multiplied, typically the larger number in a power expression.
Order of Operations: The standard sequence for evaluating expressions: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (PEMDAS).
Equation: A mathematical statement featuring an equals sign, indicating two expressions are balanced.
Solution: The set of values that, when plugged into an equation, yields a true statement.
Inequality: A mathematical statement that compares two quantities using symbols like <, ≤, ≥, or ≠.
Modeling: The process of creating algebraic expressions or equations based on real-world situations.
Function: A specific type of relation between two quantities where each input corresponds to exactly one output.
Domain: The complete set of all possible input values in a function.
Range: The complete set of all potential output values resulting from the inputs of a function.
Values: Numerical representations that can be assigned to variables.
Evaluating the Expression: The process of performing operations within a numerical expression to determine its value.
Unit Analysis: The method of assessing expressions that involve measurements to ensure the final answer maintains appropriate units.
Verbal Model: A representation of a problem using descriptive language alongside mathematical symbols to illustrate relationships.
Data: Collected facts, figures, and other pieces of evidence derived from observations.
Input: The data that is entered into a graph or table, typically represented as the x-value.
Output: The resulting data that comes from a graph or table, usually represented as the y-value.