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The addition property of equality states that when the same quantity is added to both sides of an equation, the equation does not change. Learn everything about the addition property of equality in this article along with examples.
Learn how to use the addition property of equality to solve algebraic equations and balance scales. See the formula, examples, and practice problems with solutions.
The addition, subtraction, multiplication, and division properties of equality help to solve algebraic equations involving real numbers. The reflexive, symmetric, and transitive properties of equality together define the equivalence relation.
What Is the Addition Property of Equality? The addition property of equality is a truth about equal quantities. That is, it is true any time there are two or more amounts related with an equal sign. Arithmetic utilizes the addition property of equality to develop number sense and compare numeric quantities. Algebra also uses it as a strategy to ...
Explain how the addition property of equality can be used to solve equations with variables and constants on both sides. The addition property of equality states that if two expressions are equal, adding the same number to both sides of the equation will result in two new equal expressions.
Solve an equation using the Addition Property of Equality. Step 1. Use the Addition Property of Equality to isolate the variable. Step 2. Simplify the expressions on both sides of the equation. Step 3. Check the solution.
THEOREM the Addition Property of Equality. For all real numbers a, a, b, b, and c c: a= b a+c= b+c a = b a + c = b + c. Note: Here's how to read aloud that sentence: To a person not trained in reading mathematics, the information contained in this theorem is completely inaccessible.
