Factoring and Distributive Property Review

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

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you factor an expression?

Back

To factor an expression means to break it down into simpler expressions that can be multiplied together to get the original expression.

Front

What is the factored form of 30 + 12?

Back

6(5 + 2) is the factored form of 30 + 12.

Front

What is the result of applying the Distributive Property to 2(c - 8)?

Back

The result is 2c - 16.

Front

How do you factor 8x - 10?

Back

The factored form is 2(4x - 5).

Front

What is the factored form of 3x + 27?

Back

The factored form is 3(x + 9).

Front

What does it mean to 'factor' in mathematics?

Back

To factor means to express a number or an algebraic expression as a product of its factors.

Front

What is an example of using the Distributive Property?

Back

An example is: 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What is the first step in factoring an expression?

Back

The first step is to identify the GCF of the terms in the expression.