Distributive Property and Combining Like Terms

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 two or more terms inside a set of parentheses.

Front

Simplify: 3(2 + 4)

Back

18

Front

What does it mean to combine like terms?

Back

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

Front

Combine like terms: 5x + 3x - 2y + 4y

Back

8x + 2y

Front

What is a constant in an expression?

Back

A constant is a term that does not contain any variables. It is a fixed value.

Front

Identify the constant in the expression: 4x + 7 - 2y

Back

7

Front

Simplify: 4(3x - 2) + 2x

Back

14x - 8

Front

What is the result of applying the Distributive Property to 5(2x + 3)?

Back

10x + 15

Front

Combine like terms: 2a + 3b - 4a + 5b

Back

-2a + 8b

Front

What is the first step in simplifying the expression: 2x + 3(4 - x)?

Back

Distribute 3 to both terms inside the parentheses: 2x + 12 - 3x.