Distribute and Combine Like Terms

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: x + 4 - 7(x - 5)

Back

-6x + 39

Tags

CCSS.6.EE.A.3

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

Simplify: 5a + 2a + 2a

Back

9a

Tags

CCSS.7.EE.A.1

Front

What is the first step in simplifying an expression 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 the expression: -2x - 4(4x - 8)

Back

-18x + 32

Tags

CCSS.6.EE.A.3

Front

What is the result of distributing -4 in the expression -4(8r + 3)?

Back

-32r - 12

Tags

CCSS.6.EE.A.3

Front

Simplify the expression: 7 + 3(1 - 2x)

Back

10 - 6x

Tags

CCSS.6.EE.A.3

Front

What is the purpose of simplifying expressions in algebra?

Back

The purpose is to make expressions easier to work with and to solve equations more efficiently.

Tags

CCSS.7.EE.A.1