Algebra 1 Properties

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c).

Tags

CCSS.7.NS.A.1D

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change their sum or product. For example, a + b = b + a.

Tags

CCSS.6.EE.A.3

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

Tags

CCSS.3.OA.B.5

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the value of that number. For example, a + 0 = a.

Tags

CCSS.1.OA.B.3

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the value of that number. For example, a × 1 = a.

Tags

CCSS.3.OA.B.5

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. For example, if a = b, then a + c = b + c.

Tags

CCSS.HSA.REI.A.1

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 number, the two sides remain equal. For example, if a = b, then ac = bc.

Tags

CCSS.HSA.REI.A.1

Front

What is an example of the Associative Property of Addition?

Back

An example is 8 + (5 + 2) = (8 + 5) + 2.

Tags

CCSS.1.OA.B.3

Front

What is an example of the Commutative Property of Multiplication?

Back

An example is 6 × 7 = 7 × 6.

Tags

CCSS.3.OA.B.5

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

Tags

CCSS.6.EE.A.4