3.3 HW Algebraic Proofs

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

• Reflexive
• Symmetric
• Transitive
• Substitution

Identify the property used here:
39=39

• Reflexive
• Symmetric
• Transitive
• Substitution

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

• Prove

• Given

• Reason

• Statement

1. 1. ​ (a)  

2. 2. ​ ​ (b)  

3. 3. ​ (c)  

4. 4. ​ (d)  

5. 5. ​ (e)  

• Multiplication Property
• Subtraction Property
• Distributive Property
• Combine Like Terms (CLT)
• Addition Property
• Division Property
• Given

Reasons

1.​ (a)  

2. 2. ​ (b)  

3. 3. ​ (c)  

• Addition Property
• Multiplication Property
• Given
• Subtraction Property
• Division Property

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

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

Reasons

1. 1. (a)  

2. 2.​ (b)  

3. 3. ​ (c)  

4. 4. ​ (d)  

5. 5. ​ (e)  

• Transitive Property
• Given
• Prove
• Subtraction Property
• Addition Property
• Division Property
• Symmetric Property

1.​ (a)  

2. ​ (b)  

2. 3. ​ (c)  

• Given
• Subtraction Property
• Division Property
• Distributive Property
• Prove
• Transitive Property