Distributive Property and Factoring

Front

The number before a variable is the _____

Back

coefficient

Front

In the expression 3(x + 4), what is the distributive property used for?

Back

To multiply 3 by both x and 4, resulting in 3x + 12.

Front

What is the result of applying the distributive property to 5(2 + 3)?

Back

25.

Front

The process of breaking down an expression into simpler factors is called _____

Back

factoring.

Front

What is the factored form of the expression x^2 + 5x + 6?

Back

(x + 2)(x + 3).

Front

In the expression 4x + 8, what can be factored out?

Back

4.

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.

Front

If a = 2 and b = 3, what is the value of 2(a + b)?

Back

10.

Front

What is the distributive property formula?

Back

a(b + c) = ab + ac.

Front

In the expression 6(x - 2), what is the result of applying the distributive property?

Back

6x - 12.