Lesson objective: Students understand that equations can be developed from given solutions.

This lesson provides an opportunity for students to apply their knowledge and understanding of linear equations in one variable to a mathematical situation. Students are asked to develop linear equations in one variable from a given solution.

Key Concept students will use:

- Properties of operations hold for expressions, as we can operate on and with expressions just as we do with numbers.

Skills students will use:

- Using properties of operations to generate equivalent expressions (7.EE.A.1 and 7.EE.A.2)

Students engage in Mathematical Practice 2 (Reason abstractly and quantitatively) as they examine equations and their solutions. Students also engage in Mathematical Practice 6 (Attend to precision) as they develop equations that fit a given solution.

**Key vocabulary:**

- infinitely many solutions
- one solution
- no solution
- identical