Combining Like Terms and Distributive Property

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(2x + 4)

Back

6x + 12

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

Simplify: 5x + 3x

Back

8x

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions or equations.

Front

Identify the like terms in the expression: 2x + 3y + 4x - 5y

Back

The like terms are 2x and 4x, and 3y and -5y.

Front

Simplify: 7y - 2y + 3y

Back

8y

Front

What is the result of applying the Distributive Property to -2(3x + 4)?

Back

-6x - 8

Front

Simplify: 4(3x - 2) + 2(5x + 1)

Back

26x - 6

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7.