Algebra 1 Review Flashcards

Algebra 1 Key Concepts

• Relation: A set composed of ordered pairs.
• Ordered Pair: Represents coordinates on the coordinate plane, denoted as (x,y).
• Coordinate Plane: Formed by two perpendicular axes: the x-axis (horizontal) and the y-axis (vertical).
• Function: A specific type of relation where each x-value corresponds to only one y-value, verified by the vertical line test.
• Mapping: Visual representation of x-values and y-values through "bubbles."
• Table: A structured way to display ordered pairs.
• Domain: The complete set of possible x-values (inputs).
• Range: The complete set of possible y-values (outputs).
• Variable: Represents a number in an equation, denoted by letters or symbols.
• Independent Variable: The x-variable, which is the input or the cause.
• Dependent Variable: The y-variable, dependent on the independent variable; represents an output or result in an equation.
• Vertical Line Test: Determines if a relation is a function based on whether a vertical line crosses the graph at more than one point.
• Discrete Function (Scatter Plot): Visualizes data as individual, non-continuous points.
• Continuous Function: Data represented as a smooth, uninterrupted curve.
• Linear Parent Function: The simplest form of a linear function is represented as y = x.
• Slope: Measures the steepness of a line; calculated as the change in y over the change in x (rise/run).
• Y-intercept: The point where the line intersects the y-axis, represented as (0,y).
• X-intercept: The point where the line intersects the x-axis, represented as (x,0).
• Direct Variation: Describes a linear relationship of the form y = mx, where m represents the slope, passing through the origin.
• Inverse Variation: Represents a relationship where y varies inversely with x, defined by the equation y = 1/x.
• Linear Inequality: Formulates relationships where the equality is replaced by an inequality sign (<, >, ≤, ≥).