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Unit 7 - Vocabulary - Systems of Equations & Inequalities
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Terms in this set (17)
systems of equations
consists of two or more equations that have the same variables where each equation represents a line
systems of inequalities
consists of two or more linear inequalities that have the same variables
intersection
where lines cross over (have a common point)
slope
measure of steepness of a line
y-intercept
a point on the graph where x is zero
x-intercept
a point on the graph where y is zero
substitution property
a method of solving a system of equations by replacing a variable with an algebraic sentence from another equation
linear combination (elimination)
adding two equations together to eliminate one variable
solution
any and all value(s) of the variable(s) that satisfies an equation, inequality, system of equations, or system of inequalities
linear programming
the process of taking various linear inequalities relating to some situation, and finding the "best" value obtainable under those conditions
constraint
restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations
feasible region
all locations that represent possible / correct /viable solutions to the system of inequalities
objective function
optimum value (largest or smallest depending on the problem) of a linear expression
consistent
a system that has at least one solution
inconsistent
when the graphs are parallel and have no solution
independent
a system that has exactly one solution
dependent
a system with infinite solutions
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