Written by the Fiveable Content Team • Last updated September 2025
Written by the Fiveable Content Team • Last updated September 2025
Definition
The addition property states that if you add the same value to both sides of an equation or inequality, the equality or inequality remains true. This property is fundamental for solving equations and inequalities.
5 Must Know Facts For Your Next Test
Adding a constant to both sides of an equation does not change its solution.
The addition property is valid for both equations and inequalities.
When using the addition property in inequalities, ensure you maintain the inequality direction unless multiplying by a negative number.
This property helps isolate variables when solving linear equations.
In absolute value inequalities, applying the addition property can simplify expressions before splitting into two cases.
Review Questions
Related terms
Subtraction Property: If you subtract the same value from both sides of an equation or inequality, the equality or inequality remains true.
Multiplication Property: If you multiply both sides of an equation or inequality by the same non-zero value, the equality or inequality remains true.
Division Property: \text{If you divide both sides of an equation or inequality by a non-zero value, the equality or inequality remains true.}