Distributive Property with Combining Like Terms

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

Simplify: 12(4x + 5) + 10x

Back

58x + 60

Tags

CCSS.6.EE.A.3

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

Simplify: 9x + 5(x + 3)

Back

14x + 15

Tags

CCSS.6.EE.A.3

Front

What is a like term?

Back

Like terms are terms that have the same variable and exponent. For example, 3x and 5x are like terms.

Tags

CCSS.6.EE.A.2B

Front

Simplify: 3(9 + 2d) + 4d

Back

27 + 10d

Tags

CCSS.6.EE.A.3

Front

What is the first step in using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Tags

CCSS.6.EE.A.3

Front

Simplify: 8(5f - 7) + 3f

Back

43f - 56

Tags

CCSS.6.EE.A.3

Front

What is the result of 2(3x + 4) + 5x?

Back

11x + 8

Tags

CCSS.6.EE.A.3

Front

What is the purpose of the Distributive Property in algebra?

Back

The Distributive Property helps simplify expressions and solve equations by allowing you to eliminate parentheses.

Tags

CCSS.6.EE.A.3