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(s) and exponent(s). For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you identify like terms in an expression?

Back

To identify like terms, look for terms that have the same variable(s) and exponent(s). Group these terms together to simplify the expression.

Front

What is the first step in simplifying an expression by combining like terms?

Back

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

Front

Simplify the expression: 4x + 3y - 2x + 5y.

Back

2x + 8y.

Front

What is the result of combining the like terms 7a - 2a + 4?

Back

5a + 4.

Front

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

Back

If there are no like terms, the expression is already in its simplest form and cannot be simplified further.

Front

How do you combine coefficients of like terms?

Back

To combine coefficients of like terms, simply add or subtract the numerical coefficients while keeping the variable part the same.

Front

What is the simplified form of the expression: 6m + 4n - 2m + 3n?

Back

4m + 7n.

Front

What is the simplified form of the expression: 5x + 3 - 2x + 7?

Back

3x + 10.