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Lesson Plans and Worksheets for Algebra I

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Common Core For Algebra I

Examples, solutions, worksheets and videos to help Algebra I students learn how to find solution sets to simultaneous equations.

### New York State Common Core Math Algebra I, Module 1, Lesson 23

Worksheets for Algebra I, Module 1, Lesson 23 (pdf)

Lesson Plans and Worksheets for Algebra I

Lesson Plans and Worksheets for all Grades

More Lessons for Algebra I

Common Core For Algebra I

Examples, solutions, worksheets and videos to help Algebra I students learn how to find solution sets to simultaneous equations.

Lesson 23 Student Outcomes

Students create systems of equations that have the same solution set as a given system.

Students understand that adding a multiple of one equation to another creates a new system of two linear equations with the same solution set as the original system. This property provides a justification for a method to solve a system of two linear equations algebraically.

Exit Ticket

The sum of two numbers is 10 and their difference is 6. What are the numbers?

1. Create a system of two linear equations to represent this problem.

2. What is the solution to the system?

3. Create a new system of two linear equations using the methods described in question (9) of the Exploratory Challenge. Verify that the new system has the same solution.

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