Education Technology

Linear Systems: Using Algebra

Published on 06/14/2009

Activity Overview

Students learn to solve a system of linear equations (2 equations with 2 variables) by substitution and elimination methods. They also review the definitions of consistent (independent and dependent) and inconsistent systems, and associate the number of solutions of a system with them.

Before the Activity

Install Topics in Algebra 1 App on the calculator using one of these two methods:

  • TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
  • TI-Navigator™  "send to class" feature
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 5-15 to 5-28 from the attached PDF file for your class
  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:

  • Find the solution of each system using either the substitution or elimination method
  • For a system of equations use substitution method to solve the equations
  • In the activity What am I? solve the given system of equations by elimination method
  • Observe the system of equations, and decide if the system is consistent and independent, consistent and dependent, or inconsistent
  • Answer questions related to a given system of linear equations
  • In the Balloon Ride activity use the substitution and elimination method to solve the system of equations
  • Write a system of equations for the given word problems, define the variables and solve using substitution or elimination
  • Use the calculator to graph two lines of a system of equations
  • Use the intersect feature and find the solution
  • After the Activity

    Students will complete the Student Worksheet and analyze the results.

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary