Lesson 6: Solving Problems with Linear Systems
Module 7: Systems of Linear Equations
Launch
This section checks to see if you have the prerequisite knowledge and skills to be able to complete this lesson successfully.
Are You Ready?
Complete these questions in your binder. If you are experiencing difficulty, you may want to use the information and the multimedia in the Refresher section to clarify concepts before completing these exercises.
Once you have completed these exercises to the best of your ability, use the provided answer link to check your work.
Answers
If you feel comfortable with the concepts covered in the questions, move forward to Discover. If you experienced difficulties or want more practice, use the resources in Refresher to review these important concepts before continuing through the lesson or contact your teacher.
Refresher
The purpose of this section is to provide you with some resources to review in preparation for the lesson ahead. These resources may include videos, interactive applets, mini-lessons, and flash games to help you recall previously learned concepts. You can use these resources either before or after you try the questions in Are You Ready? Your teacher may also direct you to this section to review specific concepts.
Read
A system of linear equations can be solved algebraically by substitution or elimination. For a sample of these algebraic solutions, look at the following examples from your textbook.
Foundations and Pre-calculus Mathematics 10 (Pearson)
If necessary, reread “Example 1: Solving a Linear System by Substitution” on pages 418 and 419.
You may also find it helpful to reread “Example 1: Solving a Linear System by Subtracting to Eliminate a Variable” on pages 430 and 431.
You will find more examples on the following pages if you would like to look at more.
How do the characteristics of systems of linear equations correspond to the number of solutions the system has? If you don’t remember, have a look at Self-Check 4 of Lesson 5 again.
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