Algebraic Proofs

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

• Reflexive
• Symmetric
• Transitive
• Substitution

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

• Reflexive
• Symmetric
• Transitive
• Substitution

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

Identify the property used here:
39=39

• Reflexive
• Symmetric
• Transitive
• Substitution

Simplify the expression with the distributive property
6(x + 3)

• 6x + 3
• 6x + 18
• x + 3
• 9x

What is always the 1st statement in reason column of a proof?

• Prove
• Given
• Reason
• Statement

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