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 is the result of simplifying the expression: 2x + 1 + 7x?

Back

The result is 9x + 1.

Front

How do you simplify the expression 2f + f?

Back

You combine the like terms to get 3f.

Front

What is the distributive property and how is it applied in the expression 5(2x + 3)?

Back

The distributive property states that a(b + c) = ab + ac. Applying it to 5(2x + 3) gives 10x + 15.

Front

In the expression 2x + 3y + 5x = 75, what are the like terms?

Back

The like terms are 2x and 5x.

Front

What is the simplified form of the expression 4y + 8d - 2y + 3d?

Back

The simplified form is 2y + 11d.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

How do you identify like terms in an expression?

Back

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

Front

What is the first step in combining like terms?

Back

The first step is to group the like terms together.

Front

Can constants be combined with variable terms?

Back

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