Quiz Algebraic Proofs

Name the Property that this statement illustrates:

If x = y, then 3x = 3y.

• Multiplication Property Of Equality

• Addition Property Of Equality

• Symmetric Property Of Equality

• Reflexive Property of Equality

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

For any numbers a, b, and c, if a = b and b = c, then a = c.

• Transitive Property         
• Symmetric Property
• Reflexive Property
• Substitution Property

Step 2 is what

• Substitution property (simplify)
• Multiplication property of equality
• Division property of equality
• Distributive Property

What is step 4

• Substitution property (simplify)
• Addition property of equality
• Subtraction property of equality

What is step 6

• Subtraction property of equality
• Addition property of equality
• Division property of equality

Step 1 is what

• addition property of equality

• given

• subtraction property of equality

• prove

Identify the property of equality.
If 9=x, then x=9

• Reflexive
• Symmetric
• Transitive
• Substitution

Identify the property used here:

AB=AB

• Reflexive

• Symmetric

• Transitive

• Substitution

What is reason 2?

• Given
• Addition Property of Equality
• Subtraction Property of Equality
• Substitution Property of Equality