Unit 2: Linear Systems of Equations and Inequalities Flashcards
Linear System of Equations
more than one linear equation
Point of Intersection
the point where two or more graphs intersect
Solution to Systems
(From the Graph)
the point of intersection is the solution
Solution to Systems
(from the table)
The point that both equations have in their table
Solutions to Systems
(by solving the equations)
the point that makes both equations true
Methods for Solving Systems of Equations
Graphing Method
Substitution Method
Elimination Method
Parallel Lines
Lines that will never intersect because they have the same slope
Inequality
an expression using < , >, ≤ , ≥ symbols
Linear Inequality
A linear function where the graph is
drawn with a solid or dashed line depending on the inequality symbol.
Solution to a Linear Inequality
All the points that make the inequality true are shaded above or below its y-intercept.
System of Inequalities
the solution to the system is where their shaded areas overlap.
When do you know to shade above an inequality?
When the simplified inequality has a
“greater than” > or “greater than or equal to” ≥ symbol
How do you know when to shade below an inequality?
When the simplified inequality has a
“less than” < or “less than or equal to” ≤ symbol
