Exploring Properties of Equality

What is the reflexive property of equality?

• For any number a, a = b.

• For any number a, a = a.

• For any number a, a + b = a.

• For any number a, a - a = 0.

If a = b, what can we say about b in relation to a?

• b is not related to a.

• b is greater than a.

• b is equal to a.

• b is less than a.

Which property states that if a = b and b = c, then a = c?

• Transitive Property of Equality

• Symmetric Property of Equality

• Reflexive Property of Equality

• Distributive Property of Equality

Identify the property: If a = a, then a is equal to itself.

• Transitive property of equality

• Symmetric property of equality

• Associative property of equality

• Reflexive property of equality

If x = 5, what is the value of x according to the reflexive property?

• 5

• 10

• 4

• 6

Which property allows us to add the same number to both sides of an equation?

• Division Property of Equality

• Multiplication Property of Equality

• Subtraction Property of Equality

• Addition Property of Equality

If a = b, what can we conclude about b = a?

• a = b

• b ≠ a

• b = a

• a ≠ b

What is the property that states if a = b, then a - c = b - c?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Identify the property: If a = b, then a + c = b + c.

• Multiplication Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Addition Property of Equality

What does the symmetric property of equality state?

• If a = b, then b = a.

• If a = b, then a ≠ b.

• If a = b, then a × b = 0.

• If a = b, then a + c = b + c.