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(s) raised to the same power. For example, 3x and 5x are like terms, while 3x and 3y are not.

Front

How do you identify the coefficient of a term?

Back

The coefficient of a term is the numerical factor in front of the variable. For example, in the term 4x, 4 is the coefficient.

Front

What is the coefficient of the term 7x in the expression 2x + 7x + 5?

Back

The coefficient of the term 7x is 7.

Front

Simplify the expression: 5x + 3x.

Back

The simplified expression is 8x.

Front

What is the result of combining the like terms 2x and -5x?

Back

The result is -3x.

Front

How do you combine the like terms in the expression 4x^2 + 2x - 3 + 5x - 7?

Back

Combine the like terms to get 4x^2 + 7x - 10.

Front

What is the simplified form of the expression 3x + 2x + 4y - 3y?

Back

The simplified form is 5x + y.

Front

If an expression has no like terms, what should you do?

Back

If an expression has no like terms, it is already in its simplest form and cannot be simplified further.

Front

What is the simplified result of the expression 6x - 2x + 3?

Back

The simplified result is 4x + 3.