Lesson objective: Solve one-step inequalities using the properties of equality for solving equations.

This lesson helps to build procedural skill with solving inequalities. The structure of doing the same operation (addition, subtraction, multiplication, or division with positive numbers) to each side of an equation is used here because it is also used to solve inequalities. Multiplication and division with negative numbers to solve inequalities is not discussed in this lesson. This work develops students' understanding that solving inequalities is similar to solving equations and uses some of the same properties.

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they use some of the properties of equality used to solve equations to solve inequalities.

**Key vocabulary:**

- equation
- inequality
- property