Factoring and Distributing Expressions

The video tutorial introduces the first online lesson of the week, focusing on reviewing previously covered material. The teacher explains the concepts of expanding and factoring, relating them to the distributive property. The lesson covers the order of operations (PEMDAS) and demonstrates solving arithmetic problems. It progresses to more advanced factoring and expanding techniques, emphasizing the importance of understanding common terms and variables. The session concludes with instructions for homework, which will be completed in a PowerPoint format and submitted via Google Classroom.

What is the main topic of this week's lessons?

• History of mathematics

• New mathematical concepts

• Review of previous topics

• Introduction to calculus

In the expression 2 + 3 * 4, which operation should be performed first according to PEMDAS?

• Addition

• Subtraction

• Division

• Multiplication

When simplifying 2 + (3 + 4), what should be calculated first?

• 2 + 3 + 4

• 2 + 4

• 3 + 4

• 2 + 3

What is the result of distributing -3 across (5 - 2y)?

• 15 + 6y

• -15 + 6y

• 15 - 6y

• -15 - 6y

How do you factor the expression 6a - 2b?

• 6(a - b)

• a(6 - 2b)

• 2(3a - b)

• 3(2a - b)

What is the expanded form of -4(2w - 5z)?

• -8w + 20z

• 8w - 20z

• -8w - 20z

• 8w + 20z

Which term can be factored out from the expression 10a - 13a?

• None

• a

• 13

• 10

What is the result of distributing a negative sign across (2x - 3y)?

• -2x - 3y

• 2x + 3y

• -2x + 3y

• 2x - 3y

What is the least common multiple that can be factored out of 5(4x - 2y + 3z)?

• 5

• 2

• 3

• 4

How should you submit your homework according to the teacher's instructions?

• Upload a video

• Share a PowerPoint file

• Submit a printed copy

• Email the answers