4-2: Apply Properties of Equality

Front

What is the Property of Equality?

Back

The Property of Equality states that if two expressions are equal to each other, then they can be manipulated in the same way without changing their equality.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

If 5 + n = 10, what is the value of n?

Back

n = 5.

Front

Which operation can be performed on both sides of an equation without changing its equality?

Back

You can add, subtract, multiply, or divide both sides of an equation by the same number.

Front

What is the result of applying the Subtraction Property of Equality to the equation 5 + n = 10?

Back

Subtracting 5 from both sides gives n = 5.

Front

What is an equivalent equation?

Back

An equivalent equation is an equation that has the same solution as another equation.

Front

If 5 + n = 10, which of the following is NOT equivalent? 5 + n - n = 10 - n, 5 + n - 5 = 10 - 10, 5 + n - 5 = 10 - 5, 5 + n + 3 = 10 + 3.

Back

5 + n - 5 = 10 - 10 is NOT equivalent.

Front

What is 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 Multiplication Property of Equality?

Back

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

Front

How can you check if two equations are equivalent?

Back

You can check if two equations are equivalent by solving both equations and comparing their solutions.