Exploring Factor Expressions in Depth

The video tutorial explains the concept of factoring expressions using the distributive property. It uses an ice cream cone analogy to illustrate how the distributive property works by multiplying a number outside the parentheses with terms inside. The tutorial then introduces factoring as the reverse process, where common factors are identified and extracted. Several examples are provided, demonstrating the ladder method to find the greatest common factor (GCF) and factor expressions effectively.

What property is used when multiplying a number outside the parentheses by terms inside the parentheses?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

In the ice cream cone analogy, what does the cone represent?

• The common factor

• The difference of the terms

• The sum of the terms

• The product of the terms

What is the main goal when factoring an expression?

• Taking apart the expression to find common factors

• Finding the product of terms

• Combining like terms

• Simplifying the expression

What method can be used to find the greatest common factor (GCF) of two numbers?

• Cross Multiplication

• Long Division

• Ladder Method

• Prime Factorization

Using the ladder method, what is the GCF of 16 and 44?

• 2

• 11

• 4

• 8

What is the factored form of 16 + 44k?

• 2(8 + 22k)

• 4(4 + 11k)

• 8(2 + 5.5k)

• 16(1 + 2.75k)

What is the GCF of 48 and 84 using the ladder method?

• 8

• 12

• 6

• 24

What is the factored form of 48 + 84c?

• 6(8 + 14c)

• 12(4 + 7c)

• 8(6 + 10.5c)

• 24(2 + 3.5c)

What is the GCF of 45k and 10?

• 2

• 5

• 10

• 15

What is the factored form of 45k + 10?

• 10(4.5k + 1)

• 5(9k + 2)

• 20(2.25k + 0.5)

• 15(3k + 0.67)