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Section 3.1-3.5

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
System of Equations   Two or more equations with the same variables.  
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Consistent Solution   A system of equations that has at least one solution.  
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Inconsistent Solution   A system of equations has no solution.  
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Independent   A consistent system is independent if it has exactly one solution  
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Dependent   A consistent system that has an infinite number of solutions.  
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Substitution Method   An algebraic method where one equation is solved for one variable in terms of the other. Then, this expression is substituted for the variable in the other equation.  
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Elimination Method   Another algebraic method, where you eliminate one of the variables by adding or subtracting the equations. When you add two true equations, the result is a new equation that is also true.  
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System of Inequalities   A set of inequalities with the same variables.  
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Constraints   Conditions given to variables, often expressed as linear inequalities.  
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Feasible Region   The intersection of the graphs in a system of constraints.  
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Bounded   A region is bounded when the graph of system of constraints is a polygonal region.  
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Verticies   The maximum or minimum value that a linear function has for the points in a feasible region.  
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Unbounded   A system of inequalities that forms a region that is open.  
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Linear Programming   The process of finding the maximum or minimum values of a function for a region defined by inequalities.  
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Ordered Triple   The coordinates of a point in space The solution of a system of equations in three variables x,y,and z  
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Octants   The eight regions of three-dimensional space.  
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