powered by Google (TM)
index: click on a letter
A B C D E
F G H  I  J
K L M N O
P Q R S T
U V W X Y
Z A to Z index
index: subject areas
numbers & symbols
sets, logic, proofs
geometry
algebra
trigonometry
advanced algebra
& pre-calculus
calculus
advanced topics
probability &
statistics
real world
applications
multimedia
entries
about mathwords  
website feedback  


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

Inequality rules, trichotomy, side of an equation

 


  this page updated 27-aug-12
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes