Combining Like Terms and Distributive Property

Front

What is the process of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. This simplifies the expression.

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

Simplify the expression: 3d - 12 + d - 17 - 15x

Back

4d - 15x - 29

Front

Which terms can be combined in the expression: 3x + 7 - 9x + 24y + 2x²?

Back

3x and -9x can be combined.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

Simplify the expression using the Distributive Property: 3(2c - 5)

Back

6c - 15

Front

Simplify the expression: -9(x - 3)

Back

-9x + 27

Front

What is the result of simplifying: 4 - (x + 7) + 11x?

Back

10x - 3

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as concise as possible.

Front

What is the first step in combining like terms?

Back

Identify and group the like terms in the expression.