Intro to Proofs - Properties of Equality

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.

Tags

CCSS.HSA.REI.A.1

Front

What is the Division Property of Equality?

Back

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

Tags

CCSS.HSA.REI.A.1

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 is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself, expressed as 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.

Tags

CCSS.HSA.REI.A.1

Front

How does the Addition Property of Equality apply in solving equations?

Back

It allows you to isolate a variable by adding the same value to both sides of the equation.

Tags

CCSS.6.EE.B.7

Front

Can you give an example of the Division Property of Equality?

Back

If 4x = 20, then by applying the Division Property, x = 20/4, which simplifies to x = 5.

Tags

CCSS.HSA.REI.A.1

Front

What is an example of the Substitution Property in use?

Back

If x = 2 and you have the expression 3x + 1, you can substitute 2 for x to get 3(2) + 1 = 7.

Tags

CCSS.6.EE.A.2C

Front

What is the significance of the Reflexive Property in proofs?

Back

It is often used to establish equality in geometric proofs and algebraic manipulations.

Front

How can the Subtraction Property of Equality be used in problem-solving?

Back

It can be used to eliminate terms from one side of an equation to isolate the variable.

Tags

CCSS.6.EE.B.7