Algebra 1 Midterm Cheat Sheet

A series of flashcards based on key concepts from the Algebra 1 midterm cheat sheet, covering equations, functions, inequalities, and more.

Slope-Intercept Form

A way to express a linear equation in the format y = mx + b, where m is the slope and b is the y-intercept.

Standard Form of a Linear Equation

The format of a linear equation as Ax + By = C.

Literal Equations

Equations that use letters instead of numbers, often solved to isolate a specific variable.

LCD in Fractions

The Least Common Denominator, which is used to eliminate fractions by multiplying all terms.

Systems of Equations

A set of equations with the same variables, classified into three solution types: one solution, no solution, or infinitely many solutions.

Inequalities

Mathematical statements indicating that one quantity is less than or greater than another, using symbols like >, <, ≥, ≤.

Graphing Inequalities

A visual representation of inequality solutions on a number line or coordinate plane, with specific symbols for inclusion or exclusion.

Linear Relationships

Relationships that have a constant difference, represented graphically as a straight line.

Exponential Functions

Functions characterized by a constant ratio, represented by the formula f(x) = a(b^x).

Quadratic Functions

Functions that include the variable x squared, resulting in a U-shaped graph.

Function Notation

A way to denote functions, written as f(x) = y, where f(x) represents the output.

Domain and Range

Domain refers to possible x-values, while range refers to possible y-values of a function.

Vertical Line Test

A method to determine if a graph is a function by checking if vertical lines intersect the graph at more than one point.