Glencoe Algebra 1 Chapter 6 Vocabulary

Study Notes

Key Vocabulary in Algebra

Consistent: Refers to a system of equations where there is at least one ordered pair satisfying both equations, indicating that the system has solutions.
Dependent: Describes a system of equations that leads to an infinite number of solutions, meaning all solutions are shared by both equations in the system.
Dimension: Indicates the structure of a matrix, defined by the number of rows (m) and columns (n), expressed in the format m x n.
Element: Represents an individual object or number within a set, fundamental for understanding sets and their properties.
Elimination: A method used in solving systems of equations where addition or subtraction is applied to remove one variable, simplifying the solution process.
Inconsistent: Characterizes a system of equations that lacks any ordered pair solutions, meaning no point satisfies both equations simultaneously.
Independent: Defines a system of equations that has exactly one distinct solution, highlighting a unique intersection point among the equations.
Substitution: An algebraic technique used to find the precise solution of a system of equations by replacing variables with known values or expressions.
System of Equations: Refers to a collection of two or more equations that share the same variables, commonly analyzed to find solutions that satisfy all equations in the set.
System of Inequalities: A collection of two or more inequalities involving the same set of variables, used to analyze the relationships and constraints among variables.

Description

Explore essential vocabulary from Chapter 6 of Glencoe Algebra 1. This quiz covers key terms related to systems of equations and matrices that are crucial for mastering this foundational algebra concept.