Ch.6: Systems of Linear Equations and Systems of Linear Inequalities

6.1: Using Graphs and Tables to Solve Systems

Systems of Two Linear Equations (or a Linear System)

Solution Set of a System

Using a Graphing Calculator to Solve a System

Using Two Linear Models to Make a Prediction

Three Types of Linear Systems of Two Equations

One-solution system

Inconsistent system

Dependent system

Finding the Solution of a System from a Table of Solutions

Intersection Point of the Graphs of Two Models

Definition: Solution, solution set, and solve for a system

6.2: Using Substitution to Solve Systems

6.3: Using Elimination to Solve Systems

6.4: Using Systems to Model Data

6.5: Perimeter, Value, Interest, Mixture Problems

6.6: Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables

The Substitution Method for Solving Systems

Isolating a Variable

Solving Inconsistent and Dependent Systems by Substitution

The Elimination Method for Solving Systems

Solving Inconsistent and Dependent Systems by Substitution

Using a Table to Find a System for Modeling

Using Rate of Change to Find a System for Modeling

Comparing Three Ways to Solve a System

Five-Step Problem-Solving Method

Perimeter Problems

Value Problems

Interest Problems

Mixture Problems

Graphing Linear Inequalities in Two Variables

Solving a System of Linear Inequalities in Two Variables

Using a System of Linear Inequalities to Make Estimates

Definition: Satisfy, solution, solution set, and solve for an inequality in two variables