Reasoning in Algebra

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

• 6x + 3

• 6x + 18

• x + 3

• 9x

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

If a = b, then a may be replaced by b in any expression.

• Transitive Property         

• Reflexive Property             

• Symmetric Property 

• Substitution Property

Which property of multiplication is shown below:
6c + 8b = 2(3c + 4b)

• Associative

• Commutative

• Identity

• Distributive

What property was used here?

6(x + 3) = 6x + 18

• Transitive Property

• Distributive Property

• Reflexive Property

• Symmetric Property

What is reason 2?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

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

• Transitive Property         

• Symmetric Property

• Reflexive Property

• Substitution Property

What is reason 5?

• Transitive Property

• Reflexive Property

• Symmetric Property

• Reverse Property

What is the property of equality of the following:

If AB=CD, then CD=AB.

• Transitive

• Addition

• Multiplication

• Reflexive

• Symmetric