Distributive Property with Variables

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: -8(2x - 3)

Back

-16x + 24

Front

Simplify: 3(3x + 1)

Back

9x + 3

Front

Simplify: 2x²(2x + 9)

Back

4x³ + 18x²

Front

Simplify: -7(w - 4) + 3w - 27

Back

-4w + 1

Front

Simplify: 3x(x - 7)

Back

3x² - 21x

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.