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.

Front

What is a like term?

Back

Like terms are terms 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.

Front

How do you simplify the expression 2x + 3 + 9x + 2?

Back

You combine like terms: 2x + 9x = 11x and 3 + 2 = 5, resulting in 11x + 5.

Front

What is the result of simplifying -2x + 8y + 10x?

Back

Combine like terms: -2x + 10x = 8x, so the result is 8x + 8y.

Front

How do you simplify the expression y^2 + 4xy + 4x + 5y^2 - 2xy - 2x?

Back

Combine like terms: y^2 + 5y^2 = 6y^2, 4xy - 2xy = 2xy, and 4x - 2x = 2x, resulting in 6y^2 + 2xy + 2x.

Front

What is the simplified form of n + 10 + 9n - 3?

Back

Combine like terms: n + 9n = 10n and 10 - 3 = 7, resulting in 10n + 7.

Front

How do you simplify the expression 7v + 2 + 12 + 2v?

Back

Combine like terms: 7v + 2v = 9v and 2 + 12 = 14, resulting in 9v + 14.

Front

What is the first step in combining like terms?

Back

Identify and group all like terms in the expression.

Front

Why is it important to combine like terms?

Back

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

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms; they are considered different types of terms.