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

Back

22x - 11

Front

Simplify the expression: -4(2x + 5)

Back

-8x - 20

Front

What are Like Terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

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

Back

-21x - 5

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Front

Simplify the expression: -2(3x - 4) - 4(2x + 1)

Back

-14x + 4

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is the first step in using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify the expression: 3(4x + 2) - 2(5x - 3)

Back

-x + 12