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

Identify the like terms in the expression: 5x + 3y - 2x + 4y.

Back

The like terms are 5x and -2x, and 3y and 4y.

Front

What is the result of combining the like terms in the expression: 8a + 3b - 2a + 5b?

Back

The result is 6a + 8b.

Front

How do you simplify the expression: 4m + 7 - 2m + 3?

Back

Combine like terms to get 2m + 10.

Front

What are the coefficients in the expression: 6x + 4y - 2z?

Back

The coefficients are 6 (for x), 4 (for y), and -2 (for z).

Front

What is the simplified form of the expression: 10p - 3p + 5?

Back

The simplified form is 7p + 5.

Front

Explain why 3x^2 and 4x are not like terms.

Back

They are not like terms because they have different variable parts; 3x^2 has x raised to the power of 2, while 4x has x raised to the power of 1.

Front

What is the first step in simplifying the expression: 9y + 2 - 4y + 6?

Back

The first step is to identify and combine the like terms, which are 9y and -4y.

Front

If you have the expression: 5a + 3b - 2a + 4b, what is the simplified result?

Back

The simplified result is 3a + 7b.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms is important because it simplifies expressions, making them easier to work with and understand.