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Algebraic Proofs Flashcards
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Algebraic Proofs Flashcards

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Questions and Answers

Qual es le Proprietate de Addition de Equalitate?

  • Si a=b, tunc a x c = b x c
  • Si a=b, tunc a-c=b-c
  • Si a=b e c non pote esser zero, tunc a/c=b/c
  • Si a=b, tunc a+c=b+c (correct)
  • Explica le Proprietate de Subtraction de Equalitate.

    Si a=b, tunc a-c=b-c

    Qual es le Proprietate de Multiplication de Equalitate?

    Si a=b, tunc a x c = b x c

    Describe le Proprietate de Division de Equalitate.

    <p>Si a=b e c non pote esser zero, tunc a/c=b/c</p> Signup and view all the answers

    Le Proprietate Reflexive de Equalitate es a=a.

    <p>True</p> Signup and view all the answers

    Qual es le Proprietate Symmetrica de Equalitate?

    <p>Si a=b, tunc b=a</p> Signup and view all the answers

    Define le Proprietate Transitiva de Equalitate.

    <p>Si a=b e b=c, tunc a=c</p> Signup and view all the answers

    Explica le Proprietate de Substitution de Equalitate.

    <p>Si a=b, tunc a pote esser substitute per b in cualquier equation o expression</p> Signup and view all the answers

    Qual es le formula del Proprietate Distributive?

    <p>a(b+c) = ab + ac</p> Signup and view all the answers

    Study Notes

    Proprietates de Equalitate

    • Addition Property of Equality: Si a=b, tunc a+c=b+c. Permitte additar le mesmo valore al ambos lateres de un equatio.

    • Subtraction Property of Equality: Si a=b, tunc a-c=b-c. Permitte subtraher le stesso valore al ambos lateres de un equatio.

    • Multiplication Property of Equality: Si a=b, tunc a x c = b x c. Permitte multiplicar le mismo valore al ambos lateres de un equatio.

    • Division Property of Equality: Si a=b e c non pote esser zero, tunc a/c=b/c. Permitte divider le mesmo valore al ambos lateres de un equatio, in conditiones que c non sia zero.

    Proprietates Reflexive, Symmetrice e Transitive

    • Reflexive Property of Equality: a=a. Un valore es sempre equal a se ipse.

    • Symmetric Property of Equality: Si a=b, tunc b=a. Inversione del relation de equalitate.

    • Transitive Property of Equality: Si a=b e b=c, tunc a=c. Establece un relation de equalitate transitive inter tres valores.

    Proprietate de Substitution

    • Substitution Property of Equality: Si a=b, tunc a pote esser substitute per b in omne equatio o expressa. Permitte usus de valori equivalentes in calculos.

    Proprietate Distributive

    • Distributive Property: a(b+c) = ab + ac. Permitte distribuir un valore multiplicative supra un somma, simplificando le expressiones.

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    Description

    Este quiz include varias propriedades de igualtat in algebra, como la Propriedade de Addition e la Propriedade de Subtraction. Aprende como estas regras fundamentales se aplicano in equacoes. Cada carta presenta un concepto clave e sua definition.

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