Algebra 2 Chapter 3 Flashcards
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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?

<p>The intersection of the graphs in a system of constraints.</p> Signup and view all the answers

What is linear programming?

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

What is an ordered triple?

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

What is the substitution method?

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

What is an unbounded region?

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

What are vertices in the context of linear programming?

<p>The maximum or minimum value that a linear function has for the points in a feasible region.</p> 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.

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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.

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