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Algebra 2 Flashcards: System of Equations
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Algebra 2 Flashcards: System of Equations

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Questions and Answers

A ____________ is a set of two or more equations that have two or more related unknowns.

system of equations

A System of Equations is a set of two or more equations that have two or more related unknowns, called ___________.

variables

A __________ consists of linear equations.

linear system

A __________ is a set of values for the variables that makes all the equations true.

<p>solution of a system</p> Signup and view all the answers

____________ is a method for finding minimum or maximum value of some quantity, given a set of constraints.

<p>linear programming</p> Signup and view all the answers

___________ is another name for limits.

<p>constraints</p> Signup and view all the answers

The _________ contains all the points that satisfy all the constraints.

<p>feasible region</p> Signup and view all the answers

The quantity you are trying to maximize or minimize is modeled with an _______ _______.

<p>objective function</p> Signup and view all the answers

A _________ is a rectangular array of numbers.

<p>matrix</p> Signup and view all the answers

Each number in a matrix is called an ________.

<p>element</p> Signup and view all the answers

Study Notes

System of Equations

  • A set of two or more equations involving two or more related unknowns, referred to as variables.

Variables

  • Unknowns present in a system of equations, representing quantities to be determined.

Linear System

  • Consists of linear equations, which when graphed form straight lines.

Solution of a System

  • A collection of values for the variables that satisfy all equations within the system.

Linear Programming

  • A technique used to determine the minimum or maximum value of a quantity, subject to specific constraints.

Constraints

  • Limitations or restrictions imposed on the variables within a problem.

Feasible Region

  • The area on a graph that includes all points satisfying the constraints of the system.

Objective Function

  • A mathematical representation of the quantity to be maximized or minimized, typically reflecting costs or profits.

Matrix

  • A structured, rectangular arrangement of numbers organized in rows and columns.

Element

  • An individual number found within a matrix, representing a specific data point.

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Description

These flashcards cover key concepts in Algebra 2, focusing on systems of equations and variables. Each card presents a term related to linear systems alongside its definition to enhance understanding. Perfect for students looking to reinforce their algebra knowledge.

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