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 is a like term?

Back

Like terms are terms that have the same variable(s) raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you identify the constant in an algebraic expression?

Back

A constant is a term in an expression that does not contain any variables. It is a fixed value, such as 7 in the expression 3x + 2y + 7.

Front

What is the result of combining the like terms 4x^2 - 3x - 2x?

Back

The result is 4x^2 - 5x.

Front

How do you simplify the expression m + m + m + m?

Back

You combine the like terms to get 4m.

Front

What is the first step in simplifying an expression with multiple like terms?

Back

The first step is to group the like terms together.

Front

What is the simplified form of the expression 5a + 2b - 3a + 4?

Back

The simplified form is 2a + 2b + 4.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to rewrite it as a product of its factors. For example, 5x + 15 can be factored as 5(x + 3).

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

How do you combine the terms 2x^2 + 3x^2?

Back

You add the coefficients of the like terms to get 5x^2.