Distributive Property and 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: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Tags

CCSS.7.EE.A.1

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Tags

CCSS.6.EE.A.2B

Front

Simplify: 3 + 5x + 8 - 2x

Back

11 + 3x

Tags

CCSS.7.EE.A.1

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of terms that have the same variable. For example, 2x + 3x = 5x.

Tags

CCSS.7.EE.A.1

Front

Simplify: -2(3x + 5) + 6x

Back

-10

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CCSS.6.EE.A.3

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

The first step is to distribute the multiplication across the terms inside the parentheses.

Tags

CCSS.6.EE.A.3

Front

Simplify: 3 - (5x - 7)

Back

-5x + 10

Tags

CCSS.6.EE.A.3

Front

What is the result of distributing ½ to (4x - 10)?

Back

2x - 5

Tags

CCSS.7.EE.A.1

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