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Algebra II - Chapter 3 Vocabulary
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Holt Algebra 2 - Chapter 3 Vocabulary
Terms in this set (16)
system of equations
a set of two or more equations using the same variables
linear system
a set of two or more linear equations that use the same variables
independent system
a system of linear equations that has a unique solution; recognized by the equations having different slopes
dependent system
a system of linear equations that has an infinite number of solutions; recognized by the equations having the same slope and y-intercept
inconsistent system
a system of linear equations that has no solution
consistent system
a system of linear equations that has at least one solution
linear programming
a method that identifies a minimum or maximum value of a function that satisfies a given set of conditions
objective function
a model of the quantity that you want to make as large or as small as possible
constraints
restrictions on the variables of the objective function; the set of inequalities in a linear programming problem
feasible region
contains all the values that satisfy the constraints on the objective function
three-dimensional coordinate system
a three-dimensional space where each point is described uniquely using an ordered triple of numbers
ordered triple
used to represent points in three dimensions: (x,y,z)
z-axis
the additional axis used to represent points in three dimensions
system of linear inequalities
a set of two or more linear inequalities with the same variables
substitution
method of solving a system of equations by substituting the expression for one variable in for that variable in the other equation
elimination
method of solving a system of equations by adding the two equations in order to cancel out one of the variables; sometimes one or both of the equations may have to be multiplied by a number to make one of the variables have opposite terms
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