Combine 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, 2x and 3x are like terms, while 2x and 3y are not.

Front

How do you combine the terms 2f and f?

Back

You add the coefficients of the like terms: 2f + f = 3f.

Front

What is the result of combining the terms 6x, 2x, 1, and 4?

Back

The result is 8x + 5, as you combine the like terms 6x and 2x to get 8x, and combine the constants 1 and 4 to get 5.

Front

What is the simplified form of the expression 3x + 2x?

Back

The simplified form is 5x, as you combine the like terms.

Front

How do you simplify the expression 3x + 2x + 3y - 7y?

Back

You combine like terms: 3x + 2x = 5x and 3y - 7y = -4y, resulting in 5x - 4y.

Front

What is the simplified expression for 2x + 1 + 7x?

Back

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

Front

What is the coefficient in the term 5x?

Back

The coefficient is 5, which is the number multiplying the variable x.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms as they are not like terms.

Front

What is the first step in combining like terms?

Back

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