WEST RIDGE MIDDLE

Activity 17

Solving Systems of Linear Equations

17-1 Learning Targets:

• Solve a system of linear equations by graphing.
• Interpret the solution of a system of linear equations.

17-2 Learning Targets:

• Solve a system of linear equations using a table or the substitution method.
• Interpret the solution of a system of linear equations.

17-3 Learning Targets:

• Use the elimination method to solve a system of linear equations.
• Write a system of linear equations to model a situation.

17-4 Learning Targets:

• Explain when a system of linear equations has no solution.
• Explain when a system of linear equations has infinitely many solutions.

17-5 Learning Targets:

• Determine the number of solutions of a system of equations.
• Classify a system of linear equations as independent or dependent and as consistent or inconsistent.

Solving Systems by Graphing

Solving linear systems by graphing

Solving systems graphically

Graphing systems of equations

Graphical systems application problem

Example 2: Graphically solving systems

Example 3: Graphically solving systems

Solving Systems with  Tables and Substitution

Example 1: Solving systems by substitution

Example 2: Solving systems by substitution

Example 3: Solving systems by substitution

The substitution method

Substitution method 2

Substitution method 3

Practice using substitution for systems

Solving Systems using the Elimination Method

Example 1: Solving systems by elimination

Example 2: Solving systems by elimination

Example 3: Solving systems by elimination

Addition elimination method 1

Addition elimination method 2

Addition elimination method 3

Addition elimination method 4

Simple elimination practice

Systems with elimination practice

Systems Without a Unique Solution

Infinite solutions to systems

Constructing solutions to systems of equations

Practice thinking about number of solutions to systems

Classifying Systems of Equations

Consistent and inconsistent systems

Inconsistent systems of equations

Independent and dependent systems

Activity 18

Solving Systems of Linear Inequalities

18-1 Learning Targets:

• Determine whether an ordered pair is a solution of a system of linear inequalities.
• Graph the solutions of a system of linear inequalities.

18-2 Learning Targets:

• Identify solutions to systems of linear inequalities when the solution region is determined by parallel lines.
• Interpret solutions of systems of linear inequalities.

Solving Systems of Linear Inequalities

Testing solutions for a system of inequalities

Visualizing the solution set for a system of inequalities

Graphing systems of inequalities

Graphing systems of inequalities 2