Distributive Property and Combining Like Terms

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Tags

CCSS.6.EE.A.3

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Tags

CCSS.7.EE.A.1

Front

Simplify the expression: 4(x + 2) + 3x.

Back

7x + 8.

Tags

CCSS.6.EE.A.3

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and applying the Distributive Property.

Tags

CCSS.7.EE.A.1

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Tags

CCSS.6.EE.A.2B

Front

How do you apply the Distributive Property to the expression 5(2x + 3)?

Back

5(2x + 3) = 10x + 15.

Tags

CCSS.6.EE.A.3

Front

What is the result of simplifying the expression: 8y - 3y + 2?

Back

5y + 2.

Tags

CCSS.7.EE.A.1

Front

Explain how to simplify the expression: 2(x + 4) - 3(x - 1).

Back

2(x + 4) - 3(x - 1) = 2x + 8 - 3x + 3 = -x + 11.

Tags

CCSS.6.EE.A.3

Front

What is the first step in simplifying the expression 6(x - 3 + 5y)?

Back

The first step is to distribute the 6 to each term inside the parentheses: 6x - 18 + 30y.

Tags

CCSS.6.EE.A.3

Front

What is the simplified form of the expression: 9x + 5(x + 3)?

Back

14x + 15.

Tags

CCSS.6.EE.A.3