1.7.6 Lesson Summary

In this lesson, you learned how to:

• Explain why some algebraic moves create equivalent equations but some do not.
• Illustrate that dividing by a variable is not used in solving equations because it can lead to equations that have fewer solutions than the original equation.
• Demonstrate that equations that are not true for any value of the variable(s) do not have solutions.

Here are the activities that helped you reach those goals:

• 1.7.1: Determining if Zero Is a Solution
  • In this activity, you substituted 0 into equations to determine for which equations 0 was a solution.
• 1.7.2: Explaining Acceptable Moves Used to Solve an Equation
  • In this activity, you learned how acceptable moves applied to an equation can create an equivalent equation. Through these discussions you had the opportunity to construct logical arguments.
  • 1.7.2: Self Check
  • 1.7.2: Additional Resources
• 1.7.3: Understanding Equations with No Solution or Infinitely Many
  • In this activity, you explored why equations may not have a solution and if the moves made to solve the equations were acceptable.
  • 1.7.3: Self Check
  • 1.7.3: Additional Resources
• 1.7.4: Solving Equations by Dividing Values
  • In this activity, you used division to find equivalent equations and also learned that you can not divide by 0.

After these activities, you completed the following practice:

• 1.7.5: Practice