Topic 1: Solving Systems by Graphing
Definitions:
Systems of Equation - 2 or more equations with the same variable
Helpful Hints:
Video Examples:
Solving by Graphing
Systems of Equation - 2 or more equations with the same variable
Helpful Hints:
- solve for y so that you can graph them
- where the lines intersect is the solution
Video Examples:
Solving by Graphing
Solving by Graphing on your calculator!
Solving by Graphing Word Problems in Slope Intercept Form
Solving by Graphing Word Problems in Standard Form
Topic 2: Solving Systems by Elimination and Substitution
Helpful Hints:
Video Examples:
Substitution
- the solution to a system is a point so you must find x and y
- Substitution - one equation is solved for one variable and the other one is in standard form
- Elimination - do when both equation are in standard form
Video Examples:
Substitution
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Elimination
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Topic 3: Solving Systems of Inequalities by Graphing
Helpful Hints:
Video Examples:
Graphing Systems of Linear Inequalities
- the inequality sign is your boundry line
- left hand less than, right hand greater than
- less thans shade below, greater thans shade above
- less than and greater than dotted line, less than or equal to and greater than or equal to solid line
Video Examples:
Graphing Systems of Linear Inequalities
Topic 4: Linear Programming
Definitions:
Constraints - this is what the linear inequalities are called
Feasible region - intersection of the graphs
bounded - when the graph of a system of constraints is a polygonal region
vertices - corners created by the constraints
unbounded - when the system forms a region that is open
linear programming - process of finding max or min values of function for a region defined by inequalities
Helpful Hints:
Video Examples:
Linear Programming
Constraints - this is what the linear inequalities are called
Feasible region - intersection of the graphs
bounded - when the graph of a system of constraints is a polygonal region
vertices - corners created by the constraints
unbounded - when the system forms a region that is open
linear programming - process of finding max or min values of function for a region defined by inequalities
Helpful Hints:
- the vertices are usually your solutions
Video Examples:
Linear Programming