Distributive Property/Combine Like Terms

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 raised to the same power, such as 3x and -9x.

Front

What is the result of applying the Distributive Property to 3(x + 4)?

Back

The result is 3x + 12.

Front

How do you simplify the expression 8y + 5 - 2y?

Back

Combine like terms to get 6y + 5.

Front

What is the first step in simplifying the expression -(8 - m)?

Back

The first step is to distribute the negative sign, resulting in -8 + m or m - 8.

Front

What is the simplified form of 5x + 3x - 9?

Back

The simplified form is 8x - 9.

Front

How do you identify like terms in the expression 3x + 7 - 9x + 24y + 2x^2?

Back

The like terms are 3x and -9x, as they both contain the variable x.

Front

What is the result of distributing 3 in the expression 3(9 + 2y - 3z)?

Back

The result is 27 + 6y - 9z.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.