Algebra 2 Chapter 3 Flashcards

Questions and Answers

What is a bounded region?

A region is bounded when the graph of a system of constraints is a polygonal region.

What are constraints?

Conditions given to variables, often expressed as linear inequalities.

What is the elimination method?

Eliminate one of the variables in a system of equations by adding or subtracting the equations.

What is a feasible region?

The intersection of the graphs in a system of constraints. Signup and view all the answers

What is linear programming?

The process of finding the maximum or minimum values of a function for a region defined by inequalities. Signup and view all the answers

What is an ordered triple?

The coordinates of a point in space or the solution of a system of equations in three variables x, y, z. Signup and view all the answers

What is the substitution method?

A method of solving a system of equations in which one equation is solved for one variable in terms of the other. Signup and view all the answers

What is an unbounded region?

A system of inequalities that forms a region that is open. Signup and view all the answers

What are vertices in the context of linear programming?

The maximum or minimum value that a linear function has for the points in a feasible region. Signup and view all the answers

Study Notes

Algebra 2 Chapter 3 Concepts

Bounded Region: Formed when the graph of a constraint system creates a polygonal area, indicating limits on values.
Constraints: Conditions placed on variables, typically represented through linear inequalities, shaping the feasible solutions.
Elimination Method: A technique to solve systems of equations by removing one variable through the addition or subtraction of equations, simplifying the system.
Feasible Region: Represents the set of possible solutions that satisfy all given constraints, shown as the intersection of constraint graphs.
Linear Programming: A mathematical strategy aimed at determining the optimal maximum or minimum values of a function within a specified region defined by inequalities.
Ordered Triple: Refers to either the coordinates (x, y, z) of a point in three-dimensional space or the solution to a system of equations involving three variables.
Substitution Method: A problem-solving approach for systems of equations where one equation is rearranged to express one variable in terms of another, facilitating easier solving.
Unbounded Region: Describes a region formed by inequalities that does not have limits, indicating that solutions may extend indefinitely.
Vertices: Points in the feasible region at which the linear function achieves its maximum or minimum values, crucial for optimizing linear programming problems.

Description

Test your understanding of key concepts from Algebra 2 Chapter 3 with these flashcards. Each card provides a term along with its definition, focusing on bounded regions, constraints, and methods for solving equations. Perfect for quick reviews and reinforcing your algebra skills.