Combining 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 are like terms?

Back

Like terms are terms in an expression that have the same variable(s) 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

How do you simplify the expression 4k + 6k - 3k + 3s - s?

Back

You combine the like terms: (4k + 6k - 3k) + (3s - s) = 7k + 2s.

Tags

CCSS.7.EE.A.1

Front

What is the result of simplifying the expression 12b + 4b^2 - 10b?

Back

The result is 4b^2 + 2b after combining like terms.

Tags

CCSS.7.EE.A.1

Front

Can the expression 4f^2 + 3h - g + f be simplified?

Back

No, it cannot be simplified further because there are no like terms to combine.

Tags

CCSS.7.EE.A.1

Front

How do you collect like terms in the expression 4y + 8d - 2y + 3d?

Back

You combine the like terms: (4y - 2y) + (8d + 3d) = 2y + 11d.

Tags

CCSS.7.EE.A.1

Front

What is the equivalent expression for d + d + d + 3 + 2?

Back

The equivalent expression is 3d + 5.

Tags

CCSS.6.EE.A.4

Front

What is the first step in combining like terms?

Back

The first step is to identify and group all the like terms in the expression.

Tags

CCSS.7.EE.A.1

Front

Why is it important to combine like terms?

Back

Combining like terms simplifies expressions, making them easier to work with and understand.

Tags

CCSS.7.EE.A.1

Front

What is the difference between like terms and unlike terms?

Back

Like terms have the same variable(s) and exponent(s), while unlike terms do not.

Tags

CCSS.6.EE.A.2B