Algebra 1 Review Flashcards

Study Notes

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 (<, >, ≤, ≥).

Description

Test your knowledge with these Algebra 1 flashcards covering key concepts such as relations, ordered pairs, coordinate planes, and functions. Perfect for revision and reinforcing your understanding of basic algebraic principles.