Algebra 1 Properties

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

What is the Multiplicative Identity?

Back

The Multiplicative Identity states that any number multiplied by 1 remains unchanged. For example, 1 * 8 = 8.

Tags

CCSS.3.OA.B.5

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of addition or multiplication does not change the result. For example, a + b = b + a or ab = ba.

Tags

CCSS.6.EE.A.3

Front

What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number 'a' is 1/a, such that a * (1/a) = 1. For example, the multiplicative inverse of 7 is 1/7.

Front

What is the Associative Property?

Back

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

Tags

CCSS.7.NS.A.1D

Front

Example of Distributive Property: Simplify 4(x + 5).

Back

4(x + 5) = 4x + 20.

Tags

CCSS.6.EE.A.3

Front

Example of Multiplicative Identity: Simplify 5 * 1.

Back

5 * 1 = 5.

Tags

CCSS.3.OA.B.5

Front

Example of Commutative Property: Simplify 3 + 7.

Back

3 + 7 = 7 + 3.

Tags

CCSS.1.OA.B.3

Front

Example of Multiplicative Inverse: Simplify 8 * (1/8).

Back

8 * (1/8) = 1.

Tags

CCSS.7.NS.A.1B

Front

Example of Associative Property: Simplify (2 + 3) + 4.

Back

(2 + 3) + 4 = 2 + (3 + 4) = 9.

Tags

CCSS.1.OA.B.3