## Podcast Beta

## 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.

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

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___________ is another name for limits.

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

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

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A _________ is a rectangular array of numbers.

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Each number in a matrix is called an ________.

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## 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.