What is The Addition Property of Equality?

Updated: November 28, 2022
The Addition Property of Equality states that if two things are equal, then adding the same thing to each will result in two things that are still equal.
Detailed answer:

The Addition Property of Equality is a fundamental building block of algebra. It states that if two values are equal, then adding the same value to each will result in two new values that are also equal. This property can be used to solve equations and simplify equations. It is important to understand the Addition Property of Equality in order to be able to solve equations correctly.
In order to understand why this property is true, it’s helpful to think about the equation 2+3=5. If we take any other number and add it to both sides of the equation, we’ll get an answer of 5: +1=5, +2=5, +3=5…
This property is a fundamental building block of algebra. It is important to understand the Addition Property of Equality in order to be able to solve equations correctly. The Addition Property of Equality can be used to simplify equations. It’s sometimes called the Linear Property of Equality because it helps us find linear equations for situations where there isn’t one immediately apparent.
Sometimes, students confuse this property with another called “the Multiplication Property of Equality.” The Multiplication Property states that if two values are equal, then multiplying each by the same value will result in two new values that are also equal.

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