Intro to Algebraic Properties

 x + 0 = ?

• 0

• x

• 0x

• π

What is the Properties of equality for "If a=b, then a+c=b+c"

• Subtraction

• Multiplication

• Addition

• Division

What is the Distributive property of equality?

• If a=b, then a can be substituted for b in any equation or expression

• For any real number a, a=a .

• a(b+c)=ab+ac

• If a=b, then b=a

What is the Property of Equality for "If a=b, then b=a"?

• Reflexive

• Subsitution

• Symmetric

• Transitive

What is the Property of Equality for "If a=b, then ac=bc"

• Multiplication

• Division

• Subsititution

• Symmetric

for all real numbers x,y and z, If x=y and y=z, then x=z

• Substition

• Reflexive

• Symmetric

• Transitive

If x=y, then x be replaced by y in any equation or expression.

• Substitution Property

• Transitive Property

• Reflexive Property

• Symmetric Property

If xy=0, then x=0 or y=0

• Reflexive

• Multiplicative Property of Zero

• Multiplication

• Zero Product

What is Addition property of equality

• a.   If a=b, then a+c=b+c

• b.  If a=b, then a-c=b-c

• c.  If a=b, then ac=bc

• d.  If a=b, then a/c=b/c

What is multiplication property of equality

• a.   If a=b, then a+c=b+c

• b.  If a=b, then a-c=b-c

• c.  If a=b, then ac=bc

• d.  If a=b, then a/c=b/c