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 are like terms?

Back

Like terms are terms in an expression that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you simplify the expression 3 + 5x + 8 - 2x?

Back

You combine like terms to get 11 + 3x.

Front

What is the result of combining the terms 4y + 8d - 2y + 3d?

Back

The result is 2y + 11d.

Front

What is the simplified form of the expression 3b + b - 2b?

Back

The simplified form is 2b.

Front

How do you simplify the expression 5a + 2b - 3a + 4?

Back

You combine like terms to get 2a + 2b + 4.

Front

What is the result of combining the terms -4x and -10x?

Back

The result is -14x.

Front

What is the first step in combining like terms?

Back

The first step is to identify and group all like terms together.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. They can only be combined with other constants.

Front

What is the importance of combining like terms in algebra?

Back

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