Combine Like Terms

Front

What does it mean to combine like terms in an algebraic 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 algebraic 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 8y + 5 - 2y?

Back

To simplify 8y + 5 - 2y, combine the like terms 8y and -2y to get 6y + 5.

Front

What is the result of simplifying the expression 2x + 1 + 7x?

Back

The result is 9x + 1, as you combine the like terms 2x and 7x.

Front

What is the simplified form of 5a + 2a + 2a?

Back

The simplified form is 9a, as you combine the like terms 5a, 2a, and 2a.

Front

How do you simplify the expression 5x + 3x - 9?

Back

To simplify 5x + 3x - 9, combine the like terms 5x and 3x to get 8x - 9.

Front

What is the simplified expression for 7v + 2 + 12 + 2v?

Back

The simplified expression is 9v + 14, as you combine the like terms 7v and 2v, and add the constants 2 and 12.

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.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. Only like terms can be combined.

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.