Properties of Equality

Front

What is the Division Property of Equality?

Back

The Division Property of Equality states that if two expressions are equal, then dividing both sides of the equation by the same non-zero number will maintain the equality.

Front

Provide an example of the Division Property of Equality.

Back

If 7n = 28, then dividing both sides by 7 gives n = 4.

Front

What is the Multiplication Property of Equality?

Back

The Multiplication Property of Equality states that if two expressions are equal, then multiplying both sides of the equation by the same non-zero number will maintain the equality.

Front

Provide an example of the Multiplication Property of Equality.

Back

If m = -2, then multiplying both sides by 8 gives 8m = -16.

Front

What is the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if two expressions are equal, then subtracting the same number from both sides of the equation will maintain the equality.

Front

Provide an example of the Subtraction Property of Equality.

Back

If 5m + 4 = 19, then subtracting 4 from both sides gives 5m = 15.

Front

What is the Addition Property of Equality?

Back

The Addition Property of Equality states that if two expressions are equal, then adding the same number to both sides of the equation will maintain the equality.

Front

Provide an example of the Addition Property of Equality.

Back

If x - 3 = 5, then adding 3 to both sides gives x = 8.

Front

What is the purpose of the Properties of Equality in solving equations?

Back

The Properties of Equality are used to manipulate equations in order to isolate variables and solve for unknowns.

Front

How does the Division Property of Equality help in solving for a variable?

Back

It allows you to simplify an equation by dividing both sides by a common factor, making it easier to isolate the variable.