Greatest Common Factors and Expressions

Mr. Lacombe introduces a lesson on modeling and writing equivalent expressions using the distributive property. The video covers the concept of the greatest common factor, using tape diagrams to model expressions, and applying the distributive property to variables. Students are guided through practice problems and exercises to reinforce their understanding. The lesson concludes with a summary and instructions for future assignments.

What is the greatest common factor of 10 and 50?

• 20

• 15

• 10

• 5

Which number is the greatest common factor of 5 and 35?

• 1

• 7

• 35

• 5

What is the greatest common factor of 12 and 28?

• 6

• 4

• 3

• 2

How many groups of five are in the model shown in the tape diagram?

• 1

• 2

• 3

• 4

What expression represents two groups of the sum of five and three?

• 5x3

• 2(5+3)

• 5+3

• 2x5+3

What does the variable 'a' represent in the expression 2a + 2b?

• A number

• An operation

• A constant

• A letter

What is the greatest common factor of 6 and 9?

• 3

• 1

• 6

• 2

In the expression 3c + 11c, what is used as the greatest common factor?

• c

• 11

• 1

• 3

What is the greatest common factor of 24 and 8?

• 2

• 6

• 4

• 8

How can you use the distributive property to rewrite 7x + 7y?

• x-y

• 7x+7y

• x+y

• 7(x+y)