Distributive and Factoring Expressions

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

Factor the expression: 12x - 20

Back

4(3x - 5)

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

Which expression is equivalent to 5(2x + 6)?

Back

10x + 30

Front

Simplify the expression: 8(5 + w)

Back

40 + 8w

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

Simplify: 5(a + 6)

Back

5a + 30

Front

What is the result of applying the Distributive Property to 3(2c - 5)?

Back

6c - 15

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.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating parentheses.