Understanding the Distributive Property

In this video tutorial, the teacher guides students through Activity 4 of Lesson 5, focusing on solving linear equations. Noah attempts to verify his solution of x = 14/5 but makes a mistake in his calculations. The teacher explains the error, emphasizing the importance of correctly applying the distributive property. By multiplying each term correctly, the teacher demonstrates how to arrive at the correct solution, reinforcing the concept of distributing factors across terms in an equation.

What was Noah trying to verify in the activity?

• The value of x as 5

• The value of x as 14

• The value of x as 5/14

• The value of x as 14/5

What was the main issue Noah faced when checking his answer?

• He used the wrong equation

• He didn't replace x with 14/5

• He got different answers on each side of the equation

• He forgot to multiply by 2

What was Noah's initial step to simplify the equation?

• Adding 2

• Multiplying by 2

• Subtracting 2

• Dividing by 2

Where did Noah make a mistake with the distributive property?

• He multiplied both terms by 5

• He divided both terms by 5

• He forgot to multiply the second term by 5

• He added 5 to both terms

What is the correct way to apply the distributive property?

• Multiply only the second term by the factor

• Add the factor to each term inside the parentheses

• Multiply only the first term by the factor

• Multiply each term inside the parentheses by the factor

What was the final correct solution for x?

• x = 14

• x = 5

• x = 5/14

• x = 14/5

Why is it important to distribute the factor to each term?

• To ensure each term is multiplied correctly

• To add the factor to each term

• To divide each term by the factor

• To subtract the factor from each term

What analogy is used to explain the distributive property?

• Boxes of red and pink squares

• Bags of apples and oranges

• Baskets of fruits

• Containers of marbles

What happens if you forget to distribute the factor to all terms?

• The equation becomes easier

• The equation simplifies correctly

• The equation becomes incorrect

• The equation remains balanced

What is the key takeaway from the lesson on the distributive property?

• Always divide each term by the factor

• Always add the factor to each term

• Always distribute the factor to each term

• Always subtract the factor from each term