2.1.6 Lesson Summary

In this lesson, you learned how to:

• Explain “the solution to a system of linear equations” and how the solution is represented graphically.
• Refer to two equations as a system of equations.
• Use tables and graphs to solve systems of equations.

Here are the activities that helped you reach those goals:

• 2.1.1: Understanding Constraints and Values
  • In this activity, you analyzed different combinations of trail mix to determine if they met a certain cost constraint. You learned that writing an equation is one way to check if these values meet the constraint.
• 2.1.2: Writing and Graphing Equations
  • In this activity, you wrote equations to represent two different constraints covering the cost and amount of trail mix. These equations represent a system of linear equations. Then you graphed the system of equations and used the graph to complete a table. These are important methods when solving a system of equations.
• 2.1.2: Self Check
• 2.1.2: Additional Resources
• 2.1.3: Meeting Constraints
  • In this activity, you analyzed a situation and found a pair of values that met two different constraints in that situation. You were then able to explain your reasoning in how you solved the systems of equations.
• 2.1.3: Self Check
• 2.1.3: Additional Resources
• 2.1.4: Exploring a System of Equations
  • In this activity, you solved a system of equations using your preferred method of choice. Systems of equations can be solved by graphing, algebraically, guessing and checking, or using tables.

After these activities, you completed the following practice:

• 2.1.5: Practice