Simplifying Expressions with 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 the expression: 2(4x + 3) - 3(2x - 1)

Back

2x + 9

Front

What does it mean to simplify an expression?

Back

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

Front

Simplify the expression: -3(2x + 5) - 5(3x - 2)

Back

-21x - 5

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.

Front

Simplify the expression: 2(3x - 4)

Back

6x - 8

Front

What is a variable in an expression?

Back

A variable is a symbol, usually a letter, that represents an unknown value in an expression or equation.

Front

Simplify the expression: 3(2x + 1) + 2(3x - 2)

Back

12x - 1

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an expression. For example, in 4x, 4 is the coefficient.

Front

Simplify the expression: 3(x + 2)

Back

3x + 6