Understanding the Distributive Property

This video tutorial introduces the distributive property, explaining it as multiplication across addition or subtraction. It verifies the property using examples and demonstrates how it holds true for both addition and subtraction. The tutorial provides multiple examples, including those with more than two terms, and explains how to handle negative terms. It concludes with advanced examples and simplification techniques, ensuring a comprehensive understanding of the distributive property.

What is the distributive property often referred to as?

• Addition across multiplication

• Division across subtraction

• Subtraction across multiplication

• Multiplication across addition or subtraction

In the expression a * (b + c), what does the distributive property allow you to do?

• Multiply a by b and c separately

• Add a to b and c

• Subtract b from c

• Divide a by b and c

When verifying the distributive property with a = 2, b = 3, and c = 4, what is the result of 2 * (3 + 4)?

• 12

• 16

• 14

• 18

How can subtraction be handled in the distributive property?

• By ignoring the subtraction

• By treating the subtracted term as negative

• By multiplying the terms

• By adding the terms

What happens when there are more than two terms inside the parentheses in the distributive property?

• The property does not apply

• Only the first two terms are considered

• Additional products are created

• The terms are divided

In the expression 5 * (2x + 4), what is the expanded form using the distributive property?

• 10x + 4

• 2x + 20

• 5x + 20

• 10x + 20

How is the expression -3 * (x^2 - 2x + 7) expanded using the distributive property?

• 3x^2 + 6x - 21

• -3x^2 - 6x + 21

• -3x^2 + 6x - 21

• 3x^2 - 6x + 21

What is the result of distributing -1 in the expression -1 * (5x - 8)?

• -5x + 8

• 5x - 8

• -5x - 8

• 5x + 8

In the expression 2/5 * (x/4 - 13), what is the simplified form of the first product?

• x/5

• 2x/5

• x/20

• x/10

What is the equivalent expression for 2/5 * (x/4 - 13) after distribution?

• x/5 + 26/5

• x/5 - 26/5

• x/10 + 26/5

• x/10 - 26/5