Combining Like Terms

Front

What is a constant in algebra?

Back

A constant is a number by itself with no variable attached.

Front

How do you combine like terms in the expression x + 3x + 6x + x?

Back

You add the coefficients of the like terms: 1x + 3x + 6x + 1x = 11x.

Front

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

Back

The simplified form is 8r + 4.

Front

How do you simplify the expression 4q + 4t + 3q + t?

Back

Combine like terms: (4q + 3q) + (4t + t) = 7q + 5t.

Front

What is the result of simplifying 5p + 7y + 2t + 3p + 4y?

Back

The result is 8p + 11y + 2t.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Why is it important to combine like terms?

Back

Combining like terms simplifies expressions, making them easier to work with and understand.

Front

What is the coefficient in the term 7x?

Back

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

Front

Can constants be combined with variables?

Back

No, constants cannot be combined with variables; they are different types of terms.

Front

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

Back

Identify and group the like terms together.