Factor an Expression & Distribute to Check | 7.EE.A.1

The video tutorial covers the concept of factoring and its inverse operation, distribution. It begins with a problem statement, asking viewers to factor the expression 55m + 30. The teacher introduces the area model as a graphic organizer to help visualize the factoring process. The video explains how to identify common factors, specifically focusing on the number 5 as a common factor between 55m and 30. The tutorial concludes by verifying the factored expression using the distributive property, ensuring the solution is correct. The video emphasizes understanding the relationship between factoring and distribution.

What is the expression that needs to be factored in this lesson?

• 75m + 50

• 65m + 40

• 55m + 30

• 45m + 20

What is the purpose of using the area model in factoring?

• To solve equations

• To organize thoughts and find common factors

• To divide expressions

• To multiply expressions

Which of the following is a common factor of 55 and 30?

• 11

• 6

• 5

• 3

What is the factored form of the expression 55m + 30?

• 5(11m + 6)

• 6(11m + 5)

• 11(5m + 6)

• 5(11m + 5)

How do you verify the factored expression using the distributive property?

• By multiplying the common factor with each term inside the parentheses

• By subtracting the terms

• By adding the terms

• By dividing the terms

What is the result of distributing 5 over the expression (11m + 6)?

• 11m + 5

• 55m + 30

• 11m + 30

• 55m + 6

What mathematical concept is demonstrated by factoring and distributing?

• Factoring and distributive property

• Exponentiation and roots

• Addition and subtraction

• Multiplication and division