Understanding the Distributive Property

This video tutorial explains the distributive property, which involves multiplying a factor by each term within a sum or difference. It provides examples of how to apply this property to simplify expressions, both numerically and algebraically. The tutorial also includes a geometric interpretation using rectangles to visually demonstrate the property. The video concludes with additional examples to reinforce understanding.

What is the main idea of the distributive property?

• Adding a factor to a sum or difference

• Multiplying a factor by each term in a sum or difference

• Dividing a factor by each term in a sum or difference

• Subtracting a factor from a sum or difference

How do you apply the distributive property to 5 * (6 + 2)?

• 5 + 6 * 2

• 5 * 6 + 2

• 5 * (6 * 2)

• 5 * 6 + 5 * 2

What is the result of simplifying 5 * (6 + 2) using the distributive property?

• 60

• 50

• 40

• 30

How would you express 2 * (x - 4) using the distributive property?

• 2x - 4

• 2x - 8

• 2x + 4

• 2x + 8

What is the geometric representation of the distributive property?

• Area of a square

• Area of a triangle

• Area of a circle

• Area of a rectangle

If a rectangle is divided into two smaller rectangles, how can the distributive property be applied?

• By adding the lengths of the smaller rectangles

• By multiplying the lengths of the smaller rectangles

• By adding the areas of the smaller rectangles

• By subtracting the areas of the smaller rectangles

How do you apply the distributive property to 9 * (2x + 7)?

• 9 * 2x + 9 * 7

• 9 * 2x + 7

• 9 * (2x * 7)

• 9 + 2x * 7

What is the simplified form of 9 * (2x + 7) using the distributive property?

• 18x + 63

• 18x + 7

• 9x + 63

• 9x + 7

How would you express 3x * (x - 4) using the distributive property?

• 3x + 4x

• 3x - 4x

• 3x^2 + 12x

• 3x^2 - 12x

What is the result of simplifying 3x * (x - 4) using the distributive property?

• 3x^2 - 4x

• 3x^2 - 12x

• 3x^2 + 4x

• 3x^2 + 12x