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 by distributing the multiplication over each addend.

Front

Calculate: 4(8n + 2)

Back

32n + 8

Front

Calculate: 3(4 + 3r)

Back

12 + 9r

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

Factor: 3x + 27

Back

3(x + 9)

Front

Factor: 6x + 20

Back

2(3x + 10)

Front

Factor: 8x - 10

Back

2(4x - 5)

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)?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in all lists.

Front

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

Back

5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.