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Systems

Vocabulary for Algebra I - Systems of Equations and Inequalities

QuestionAnswer
System of Linear Equations p.329 a set of two or more linear equations containing two or more variables
Solution of a System of Linear Equations p.329 an ordered pair that satisfies each equation in the system - the place where the graphs of the equations intersect
Solving a system by Substitution p.336 a method other than graphing that reduces a system to one equation that has only one variable so that you can solve for that variable's value
Solving a system by Elimination p.343 a method other than graphing that reduces a system to one equation that has only one variable by eliminating one of the variables through adding or subtracting the two equations
Consistent Systems p.350 systems that have at least one solution
Inconsistent Systems p. 350 systems that are parallel and therefore have no solution
Independent Systems p.351 a consistent system that has exactly one solution - it's graph appears as two intersecting lines
Dependent Systems p.351 a consistent system that has infinitely many solutions - it's graph places each line on top of the other (coincident), and appears as only one line
Linear Inequality p.364 similar to a linear equation, but the equal sign is replaced with an inequality symbol
Solution of a Linear Inequality p.364 any ordered pair that makes the inequality true
System of Linear Inequalities p.371 a set of two or more linear inequalities containing two or more variables
Solutions of a System of Linear Inequalities p.371 all or the ordered pairs that all of the linear inequalities in the system
Created by: gklee