Properties of Equality

Front

What is the Addition Property of Equality?

Back

If you add the same number to both sides of an equation, the two sides remain equal. For example, if a = b, then a + c = b + c.

Front

What is the Subtraction Property of Equality?

Back

If you subtract the same number from both sides of an equation, the two sides remain equal. For example, if a = b, then a - c = b - c.

Front

What is the Multiplication Property of Equality?

Back

If you multiply both sides of an equation by the same non-zero number, the two sides remain equal. For example, if a = b, then ac = bc.

Front

What is the Division Property of Equality?

Back

If you divide both sides of an equation by the same non-zero number, the two sides remain equal. For example, if a = b, then a/c = b/c.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 3x + 4x = 7x.

Front

If 3x + 4x - 5 = 10, what is the first step to solve for x?

Back

Combine like terms to simplify the equation to 7x - 5 = 10.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c. This property allows you to substitute one equal value for another.

Front

How do you apply the Addition Property of Equality to the equation y - 12 = 30?

Back

Add 12 to both sides to get y = 42.

Front

How do you apply the Subtraction Property of Equality to the equation 25 + d = 36?

Back

Subtract 25 from both sides to get d = 11.

Front

How do you apply the Division Property of Equality to the equation 7n = 28?

Back

Divide both sides by 7 to get n = 4.