P. 4 Combine Like Terms and Distributive Property 2024

Front

What are like terms?

Back

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

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = (3 + 5)x = 8x.

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: 3t + 7y + t + 3y

Back

4t + 10y

Front

Simplify: 3 + 5x + 8 - 2x

Back

11 + 3x

Front

Use the distributive property to simplify: 5(4x - 7)

Back

20x - 35

Front

Use the distributive property to simplify: -2(3x - 8)

Back

-6x + 16

Front

Simplify: 9xy + 3x - 6xy + 2x

Back

3xy + 5x

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.

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.