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Properties of Equality
Equation Rules

Equivalence properties and algebra rules for manipulating equations are listed below.

 Definitions 1. a = b means a is equal to b. 2. a ≠ b means a does not equal b. Operations 1. Addition: If a = b then a + c = b + c. 2. Subtraction: If a = b then a – c = b– c. 3. Multiplication: If a = b then ac = bc. 4. Division: If a = b and c ≠ 0 then a/c = b/c.

 Reflexive Property a = a Symmetric Property If a = b then b = a. Transitive Property If a = b and b = c then a = c.

See also

 this page updated 19-jul-17 Mathwords: Terms and Formulas from Algebra I to Calculus written, illustrated, and webmastered by Bruce Simmons Copyright © 2000 by Bruce Simmons All rights reserved