### Description

Properties of equality describe actions that can be applied to an equation without changing its solution. Using these properties, an equation or inequality can be written in a form that makes it easy to identify the solution or solutions. Some equations or inequalities can be solved in one step, using a single property. Sometimes, though, it takes two or more steps to find the solution. Different types of equations have different numbers of solutions. Inequalities may have an infinite number of solutions, which are often shown on number lines.### At A Glance

- The addition property of equality can be used to undo subtraction when solving equations.
- The subtraction property of equality can be used to undo addition when solving equations.
- The multiplication property of equality can be used to undo division when solving equations.
- The division property of equality can be used to undo multiplication when solving equations.
- Properties of equality can be combined to solve two-step equations.
- Properties of equality and properties of operations can be combined to solve equations using multiple steps.
- Properties of equality can be used to solve equations where the variable appears on both sides.
- The addition property of inequality can be used to undo subtraction when solving inequalities.
- The subtraction property of inequality can be used to undo addition when solving inequalities.
- The multiplication property of inequality can be used to undo division when solving inequalities.
- The division property of inequality can be used to undo multiplication when solving inequalities.
- Properties of inequality and properties of operations can be combined to solve inequalities using multiple steps.
- Absolute value equations can be solved by writing two separate equations.
- Absolute value inequalities can be solved by writing two separate inequalities.