D Presentds agoBIUA21三|三▼=▼三EGiven:2x =gx= 2yThis was given!Addition property of equalityIf the same value is added to both sides of an equation, anequivalent equation resultsProve:4y fSubtraction property of equalityIf the same value is subtracted fnrom both sides ofan equotion,an cquvalent equation results.Multiplication property of equalityr beth sides of an equation are multiplied by the saDE value, anqvalent egaation results.Division property of equalityIr both sides f an equation are divided by the same value, anequvalent equatton resultsDistributive propertya(b +c) - ab + acSubstitution propertyiIf two expressions are equivalent, then one can repilace theother in any equationTransitive property:two espressions equal the same expression, then they equaleach otherSymmetric prupertyExchanging the left and rght hand sides af an equation yiekis anLike terms:we terms are like then they can be added subtracted

Given: 2x=gx=2yg=f We have to prove the 4y=f

Given: 2x g x = 2y This was given! Addition property of equality Ir the same value is added to both sides of an equation, an equivalent equation results. Prove: 4y f Subtraction property of equality irthe same value is subtracted from both sides of an equation, an equivalent eguation results. Multiplication property of equality if both sides of an equation are multiplied by the same value, an quivalent oguation results Division property of equality If both sudes of an equation are divided by the same value, an equnvalent equation results. Distributive property: a(b +c)-ab + ac Substitution propertyi If two expressions are equivalent, then one can replace the other in any equation Transitive property f two espressions equal the same expression, then they equal each other Symmetric property Exchanging the left and rght hand sades af an equation yiekis an euivalent nuation (fa then - Like terms It twe termis are "like then they can be addedsuracted

Given: 2x g x = 2y This was given! Addition property of equality Ir the same value is added to both sides of an equation, an equivalent equation results. Prove: 4y f Subtraction property of equality irthe same value is subtracted from both sides of an equation, an equivalent eguation results. Multiplication property of equality if both sides of an equation are multiplied by the same value, an quivalent oguation results Division property of equality If both sudes of an equation are divided by the same value, an equnvalent equation results. Distributive property: a(b +c)-ab + ac Substitution propertyi If two expressions are equivalent, then one can replace the other in any equation Transitive property f two espressions equal the same expression, then they equal each other Symmetric property Exchanging the left and rght hand sades af an equation yiekis an euivalent nuation (fa then - Like terms It twe termis are "like then they can be addedsuracted

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

D Present
ds ago
BIUA
21
三|三▼=▼三E
Given:
2x =g
x= 2y
This was given!
Addition property of equality
If the same value is added to both sides of an equation, an
equivalent equation results
Prove:
4y f
Subtraction property of equality
If the same value is subtracted fnrom both sides ofan equotion,
an cquvalent equation results.
Multiplication property of equality
r beth sides of an equation are multiplied by the saDE value, an
qvalent egaation results.
Division property of equality
Ir both sides f an equation are divided by the same value, an
equvalent equatton results
Distributive property
a(b +c) - ab + ac
Substitution propertyi
If two expressions are equivalent, then one can repilace the
other in any equation
Transitive property:
two espressions equal the same expression, then they equal
each other
Symmetric pruperty
Exchanging the left and rght hand sides af an equation yiekis an
Like terms:
we terms are like then they can be added subtracted

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