 # Addition and Subtraction Properties of Equality

Videos, worksheets, stories and songs to help Grade 6 students learn about the addition property of equality and the subtraction property of equality.

What is the Addition and Subtraction Property of Equality?
The addition and subtraction property of equality states that
the same number may be added (or subtracted) from both sides of an equation without changing the equation's solution i.e.
if a = b then a + c = b + c
(and a - c = b - c)

This property can be used to form equivalent equations and solve equations.

Students learn the following properties of equality: reflexive, symmetric, addition, subtraction, multiplication, division, substitution, and transitive.
What's the Addition Property of Equality?
Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the addition property of equality, and it lets you add the same number to both sides of an equation.

Solve a linear equation using the addition property of equality to form an equivalent equation. Isolating for the variable.
What's the Subtraction Property of Equality?
Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the subtraction property of equality, and it lets you subtract the same number from both sides of an equation.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.  