Systems of equations and inequalities
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| System of Equations | Two or more equations with the same variable.
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| Consistent | A system of equations that has at least one solution.
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| Inconsistent | A system of equations that has no solution.
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| Independent | A system of equations that is consistent and has one solution.
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| Dependent | A system of equations that is consistent and has an infinite number of solutions.
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| Substitution Method | An algebraic method in which 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 | An algebraic method in which one of the variables is eliminated by adding or subtracting the equations. When the two true equations are added, 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 | Inequalities
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| Feasible Region | The intersection of the graphs.
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| Bounded | When the graph of a system of constraints is a polygonal region.
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| Vertices | Where the maximum or minimum value of a related function occurs at the feasible region.
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| Linear Programming | The process of finding maximum or minimum values of a function for a region defined by inequalities.
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| Ordered Triple | The solution of a system of equations in three variables x, y, and z and is written (x,y,z)
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| Unbounded | When a system of inequalities forms a region that is open.
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| Octants | Planes that intersect at right angles and divide space into eight regions.
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| Ordered Triple | A point in space (three dimensions) that has three coordinates and is represented by (x,y,z).
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