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

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

Back

22x - 11

Front

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

Back

-8x - 20

Front

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

Back

-21x - 5

Front

What is a coefficient in an expression?

Back

A coefficient is the number in front of a variable that tells how much to multiply the variable by.

Front

What does it mean to simplify an expression?

Back

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

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

What is a constant in an expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, the number 5 is a constant.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 2x = 5x.