Distributive Property and Combining Like Terms Practice

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What are like terms?

Back

Like terms are terms that have the same variable(s) raised to the same power, such as 2x and 3x.

Front

What is an example of using the Distributive Property?

Back

An example is 3(2 + 4) = 3*2 + 3*4 = 6 + 12 = 18.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and applying the Distributive Property.

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

The first step is to identify any terms that can be distributed and apply the Distributive Property.

Front

Can you give an example of combining like terms?

Back

Yes, in the expression 4x + 5x - 2, you combine 4x and 5x to get 9x, resulting in 9x - 2.

Front

What is the difference between like terms and unlike terms?

Back

Like terms have the same variable and exponent, while unlike terms do not.

Front

How do you identify like terms in an expression?

Back

You identify like terms by looking for terms that have the same variable(s) and the same exponent.

Front

What is the result of simplifying the expression 2x + 3y + 4x - 5y?

Back

The result is (2x + 4x) + (3y - 5y) = 6x - 2y.