Area Model and Algebra Concepts

The video tutorial explains how Avril factors the expression 6x squared minus 18x plus 12 using an area model. It begins by identifying the greatest common factor, which is 6, and setting up a rectangle to represent the expression. The area is divided into three sections corresponding to each term of the expression. The video then calculates the width of each section, leading to the total width of x squared minus 3x plus 2. Finally, it verifies the factorization by distributing the 6 to ensure the original expression is obtained.

What is the greatest common factor of the terms in the expression 6x^2 - 18x + 12?

• 18

• 12

• 6

• 3

In the area model, what is the height of the rectangle used by Avril?

• x

• 12

• 3

• 6

How many sections is the area divided into in Avril's model?

• 2

• 3

• 4

• 5

What is the width of the section representing 6x^2 in the area model?

• x

• x^2

• 3x

• 6x

What is the width of the section representing -18x in the area model?

• -6x

• -3

• -18

• -3x

What is the width of the section representing 12 in the area model?

• 6

• 3

• 2

• 1

What is the total width of Avril's area model?

• x^2 + 3x + 2

• x^2 - 3x + 2

• x^2 - 3x - 2

• x^2 + 3x - 2

If you distribute the factor 6 across the total width, what expression do you get?

• 6x^2 + 18x - 12

• 6x^2 - 18x - 12

• 6x^2 + 18x + 12

• 6x^2 - 18x + 12

What is the purpose of using an area model in this context?

• To find the perimeter

• To visualize factoring

• To calculate volume

• To solve equations

Which of the following is NOT a section in Avril's area model?

• 12

• -18x

• x^3

• 6x^2