Algebraic Properties Warm Up

What is the Transitive property of Equality

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

• a(b+c)=ab+ac

• If a=b, and b=c, then a=c

• If a=b, then b=a

What is the Reflexive property of Equality

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

• a(b+c)=ab+ac

• For any real number a, a=a .

• If a=b, then b=a

What is the Symmetric property of Equality

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

• a(b+c)=ab+ac

• For any real number a, a=a .

• If a=b, then b=a

What is the Substitution property of Equality

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

• a(b+c)=ab+ac

• For any real number a, a=a .

• If a=b, then b=a

Which algebraic property will help you get to the next step:

15x + 3 = 23

• Multiplication POE

• Subtraction POE

• Distributive POE

• Division POE

Which algebraic property will help you get to the next step:

-3 + 2x = 5

• Multiplication POE

• Subtraction POE

• Distributive POE

• Division POE

• Addition POE

Which algebraic property will help you get to the next step:

 $\frac{x}{7}$  = 2

• Multiplication POE

• Subtraction POE

• Distributive POE

• Division POE

Which algebraic property will help you get to the next step:

2x = 28

• Multiplication POE

• Subtraction POE

• Distributive POE

• Division POE

• Addition POE

Which algebraic property has been used to get from step 1 to step 2

step 1: 5 ( 2x + 1) = 25

step 2: 10x + 5 = 25

• Multiplication POE

• Subtraction POE

• Distributive POE

• Division POE

Which algebraic property has been used to get from step 1 to step 2

step 1: 25 = x

step 2: x = 25

• Reflexive POE

• Symmetric POE

• Distributive POE

• Transitive POE