Transcription of Math Study Strategies - AVC Home
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Math Study Strategies - AVC Home
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: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
The Square Roots Property* If a=b , then Example Problem * assume only the principal of positive square root Equation: 7 + x = 4(x - 2) Solution: 7 + x = 4(x - 2) 7 + x = 4x - 8 7 = 3x - 8 15 = 3x 5 = x x = 5 Distributive property Transitive property Subtraction property Addition property Division property Symmetric property = ab cc = ab cd ≥ ...
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