Transcription of Properties of Equality - AVC Home | Antelope Valley College
1 Properties of EqualityFor more information about this and other math topics, come to the Math Lab 722-6300 x 6232. Caproiu & Hall, 2000. Created by Varaz and Vasag Study StrategiesLearning CenterThe Reflexive Propertya =aThe Symmetric PropertyIf a=b, then b=aThe Transitive PropertyIf a=b and b=c, then a=cThe Substitution PropertyIf a=b, then a can be substituted for b in any equationThe Addition and Subtraction PropertiesIf a=b, then a+c = b+c and a-c = b-cIf a=b and c=d, then a+c = b+d and a-c = b-dThe Multiplication PropertiesIf a=b, then ac=bcIf a=b and c=d, then ac=bdThe Division PropertiesIf a=b and c= 0, thenIf a=b and c=d=0, thenThe Square Roots Property*If a=b , thenExample Problem* assume only the principal ofpositive square rootEquation:7 + x = 4(x - 2)Solution.
2 7 + x = 4(x - 2)7 + x = 4x - 87 = 3x - 815 = 3x5 = xx = 5 Distributive propertyTransitive propertySubtraction propertyAddition propertyDivision propertySymmetric property=abcc=abcd=ab 0
