Greatest Common Factor and Factoring

Miss Dietrich explains factoring expressions using the distributive property. She introduces the concept of expanding terms and finding the greatest common factor (GCF) to simplify expressions. The lesson includes examples of applying these concepts to different expressions, helping students understand how to rewrite expressions using the distributive property.

What is the main focus of lesson 11 in the video?

• Solving equations

• Factoring expressions

• Graphing functions

• Simplifying fractions

What is the purpose of expanding a term in the context of this lesson?

• To graph the function

• To simplify the expression

• To identify the greatest common factor

• To solve the equation

Which property is used to rewrite the expression 6x + 9y?

• Commutative Property

• Associative Property

• Identity Property

• Distributive Property

What is the greatest common factor (GCF) of the expression 6x + 9y?

• 9

• 6

• 3

• 2

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

• 3

• c

• 11

• 1

How do you determine the GCF of 24b and 8?

• By adding the coefficients

• By subtracting the coefficients

• By finding the prime factors

• By dividing the coefficients

What is the GCF of 24b and 8?

• 6

• 4

• 8

• 2

What is the result of factoring 24b + 8 using the GCF?

• 8(3b + 1)

• 8(3b + 2)

• 8(2b + 1)

• 8(2b + 2)

What is the prime factorization of 24?

• 2 x 2 x 2 x 3

• 2 x 3 x 4

• 2 x 2 x 3

• 3 x 3 x 2

What should you do if the expression has a subtraction sign instead of an addition sign?

• Multiply by -1

• Change it to an addition sign

• Ignore the sign

• Keep it as a subtraction sign