Front

What is the Substitution Property?

Back

The Substitution Property states that if two values are equal, one can be substituted for the other in any expression.

Front

What does the Distributive Property state?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Explain the Addition Property of Equality.

Back

The Addition Property of Equality states that if you add the same number to both sides of an equation, the two sides remain equal.

Front

What is the Symmetric Property?

Back

The Symmetric Property states that if a = b, then b = a, meaning equality can be reversed.

Front

Define the Reflexive Property.

Back

The Reflexive Property states that any quantity is equal to itself, i.e., a = a.

Front

What is the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

Front

What does the Transitive Property state?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

Provide an example of the Distributive Property.

Back

Example: -7(x - 4) = -7x + 28.

Front

How does the Addition Property of Equality apply to equations?

Back

If -5x - 1 = 11, then adding 1 to both sides gives -5x = 12.

Front

What is an example of the Symmetric Property?

Back

If k = 3, then it can also be stated that 3 = k.