Factoring Expressions and Evaluating Functions

This video tutorial covers module four, lesson 11 on factoring expressions. It introduces the learning targets, which include modeling and writing equivalent expressions using the distributive property and transitioning from expanded to factored form. The lesson uses models to demonstrate expressions and their equivalence, explains the distributive property, and provides practice problems. It also covers using the greatest common factor (GCF) to factor expressions and convert between expanded and factored forms. The video concludes with a lightning round of practice problems and evaluates expressions to check for equivalence.

What is the main focus of the lesson on factoring expressions?

• Exploring linear functions

• Studying geometric shapes

• Understanding the distributive property

• Learning about quadratic equations

How can the expression 'two groups of five and two groups of three' be written using numbers and symbols?

• 2 × 5 + 2 × 3

• 5 × 3

• 2(5 + 3)

• 5 + 3

What is the greatest common factor (GCF) of 3f and 3g?

• f

• 3

• 1

• g

Which of the following is a factored form of 6x + 9y?

• 3(2x + 3y)

• 6(x + y)

• 2(3x + 4.5y)

• 9(2x + y)

What should you do if the GCF is a variable, as in the expression 3c + 11c?

• Use the number 1 as the GCF

• Use the number 3 as the GCF

• Use the variable c as the GCF

• Use the number 11 as the GCF

What is the factored form of 24b + 8?

• 12(2b + 1)

• 4(6b + 2)

• 8(3b + 1)

• 24(b + 1/3)

In the lightning round, what is the factored form of 7x + 7y?

• 7(x + y)

• x + 7y

• 7x + y

• x + y

When evaluating 6x + 21y with x = 3 and y = 4, what is the result?

• 126

• 84

• 90

• 102

What is the equivalent expression for 5g + 7g when g = 6?

• 78

• 66

• 72

• 60

What is the result of evaluating 14x + 2 with x = 10?

• 140

• 142

• 148

• 144