Combining Like Terms & Distributive Property

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

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.

Tags

CCSS.6.EE.A.3

Front

Simplify the expression: -10x + 15 - 3x + 2

Back

-13x + 17

Tags

CCSS.7.EE.A.1

Front

Use the distributive property to simplify: -3(2x - 5)

Back

-6x + 15

Tags

CCSS.6.EE.A.3

Front

Use the distributive property to simplify: 4(-x - 6)

Back

-4x - 24

Tags

CCSS.6.EE.A.3

Front

Simplify the expression: -2y + 8 + 7y + 5

Back

5y + 13

Tags

CCSS.7.EE.A.1

Front

Simplify: -2x - 4(4x - 8)

Back

-18x + 32

Tags

CCSS.6.EE.A.3

Front

What are like terms?

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

What is the first step in simplifying an expression with like terms?

Back

Identify and group the like terms together.

Tags

CCSS.7.EE.A.1

Front

How do you apply the distributive property to a negative factor?

Back

Distribute the negative factor to each term inside the parentheses, changing their signs.

Tags

CCSS.7.NS.A.2C