Factoring Linear Expressions

This video tutorial teaches how to factor linear expressions with rational coefficients using the distributive property. It covers key vocabulary such as linear expressions, rational coefficients, and constants. The lesson explains the concept of the greatest common factor (GCF) and demonstrates factoring using an area model and the distributive property. Examples include factoring 4x plus 8 and 24x minus 32, emphasizing the importance of using the GCF for accurate factoring.

What is a linear expression?

• A collection of variable terms raised to the second power.

• A collection of variable terms and constant terms joined by addition or subtraction.

• A collection of constant terms only.

• A collection of variable terms and constant terms joined by multiplication.

Which of the following is the greatest common factor of 30 and 40?

• 15

• 10

• 5

• 2

In the area model for factoring 4x + 8, what is the height of the rearranged rectangle?

• 2

• 1

• 4

• 8

Using the distributive property, how can 4x + 8 be rewritten?

• 4(x + 8)

• 4(x + 2)

• 2(2x + 4)

• 8(x + 1)

What is the greatest common factor of 24 and 32?

• 8

• 6

• 4

• 12

How can 24x - 32 be factored using the distributive property?

• 8(3x - 4)

• 8(3x + 4)

• 4(6x - 8)

• 4(6x + 8)

What is the result of applying the distributive property to 8 times the quantity 3x - 4?

• 16x + 8

• 16x - 8

• 24x + 32

• 24x - 32