Distributive Property and Factoring

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum or difference.

Front

Factor the expression: 8x - 10

Back

2(4x - 5)

Front

Factor the expression: 6x + 20

Back

2(3x + 10)

Front

Simplify the expression: 8(5 + w)

Back

40 + 8w

Front

Simplify the expression: 11(9 + d)

Back

99 + 11d

Front

Which of the following is equivalent to 5(2x + 6)?

Back

10x + 30

Front

What does it mean to factor an expression?

Back

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

Front

What is a common factor?

Back

A common factor is a number that divides two or more numbers without leaving a remainder.

Front

How do you identify the greatest common factor (GCF) of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

What is the result of applying the Distributive Property to 3(4 + 5)?

Back

27 (3*4 + 3*5 = 12 + 15 = 27)