Algebra Class: Proprietates Algebraic

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Questions and Answers

Qual es le propertate de addition assi que $x + 8 = 8 + x$?

  • Propertate Distributive
  • Propertate Associative de Addition
  • Propertate Commutative de Addition (correct)
  • Propertate Inverse de Addition

Qual es le resultatate de $7 + -7$?

0

Qual es le propertate que dice $3(2x + 5) = 6x + 15$?

Propertate Distributive

Qual es le resultado de $3 x (4 x 8)$?

<p>96</p> Signup and view all the answers

Qual es le propertate que dice $3 imes -5 = -5 imes 3$?

<p>Propertate Commutative de Multiplication</p> Signup and view all the answers

Le qual es le propertate de addition assi que $0 + 9$?

<p>Propertate Identitate de Addition (B)</p> Signup and view all the answers

Qual es le propertate que dice que $4 + 0 = 4$?

<p>Propertate Identitate de Addition</p> Signup and view all the answers

Qual es le propertate que dice $0 = -5 + 5$?

<p>Propertate Inverse de Addition (B)</p> Signup and view all the answers

Qual es le valore de $10 = 1(10)$?

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

Qual es le propertate que dice que si $x = 5$, tunc $5 = x$?

<p>Propertate Symmetrica</p> Signup and view all the answers

Qual es le resulta de $4 x (0)$?

<p>0</p> Signup and view all the answers

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Study Notes

Proprietates Algebraic

  • Proprieta Commutativa de Addition: x + 8 = 8 + x; permette cambiar l'ordine de addendos.
  • Proprieta Inversa de Addition: 7 + (-7) = 0; un numero e su opposito summate a zero.

Proprieta Distribution

  • Proprieta Distributiva: 3(2x + 5) = 6x + 15; distributio de multiplication super addition.

Proprieta Associativa

  • Proprieta Associativa de Multiplication: 3 x (4 x 8) = (3 x 4) x 8; permette cambiar l'ordine de multiplicos.

Proprieta Commutativa de Multiplication

  • Proprieta Commutativa: 7(-5) = -5(7); l'ordine de factores non afecta productos.

Proprieta Associativa de Addition

  • Proprieta Associativa: 3 + (12 + 1) = (3 + 12) + 1; permite regruppar termes.

Proprieta Inversa de Multiplication

  • Proprieta Inversa: 6(1/6) = 1; un numero multiplicate per su inverso da 1.

Proprieta Identitaria

  • Proprieta Identitaria de Addition: 0 + 9 = 9; addition de zero non cambia valore.
  • Proprieta Identitaria de Multiplication: 6(1) = 6; multiplication per uno non cambia valore.

Proprieta Zero

  • Proprieta Zero de Product: 4(0) = 0; multiplication per zero da sempre zero.

Proprieta de Reflexion

  • Proprieta Reflexive: 7 = 7; un numero es equal a se stesso.

Proprieta Symmetrica

  • Proprieta Symmetrica: si x = 5, tunc 5 = x; permite inversion de relationes.

Proprieta Transitiva

  • Proprieta Transitiva: si x = y e y = 7, tunc x = 7; linkage de relationes.

Proprieta de Addition e Multiplication de Equalitate

  • Addition Proprieta de Equalitate: x = 3, x + 7 = 3 + 7; addendo le mesmo numero a un equale mantiene equalitate.
  • Multiplication Proprieta de Equalitate: x = 10, 7x = 10(7); multiplicando le mesmo numero a un equale mantiene equalitate.

Altere Notation

  • Definitio de Subtraction: 4 - 5 = 4 + (-5); subtraction es equal a addition de un numero negativo.
  • Definitio de Division: 8/2 = 8(1/2); division per un numero es equal a multiplication per su inverso.
  • Proprieta Identitaria: -20(1) = -20; multiplication per uno non altera le valore.

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