Laws of Math

Properties of Algebraic Operations

Symbolic Transformations

• Factoring

  • 4n + 2 = 2(n + 1)

• Multiplicative Identity

  • 1x =X

  • 3(1) = 3

• Commutative Property of Addition and Multiplication

  • 8 + 5 = 5 + 8

  • 3(4) = 4 (3)

• Multiplicative Property of Equality

    6x = 30

    6x = 30

    6       6

        X=5

• Reflective Property

  • If a=b,then b=a

• Combining Like Terms

  • 3x + 2x + x + 5

  • =6x + 5

• Distributive Property

  • 7(9 + 4) = 7(9) + 7(4)

• Additive Identity

  • a + 0 = a

• Associative Property of Addition and Multiplication

  • (9 + 4) + 7 = 9 + (4 + 7 )

  • ( 8 x 3 ) x 6 = 9 x ( 3 x 6)

• Additive Property of Equality

    a + 5 =7