Factoring Linear Expressions and GCF

The video tutorial teaches how to factor linear expressions with rational coefficients using the distributive property. It begins with an introduction to factoring and a review of key vocabulary, including linear expressions, rational coefficients, constants, and the greatest common factor (GCF). The tutorial explains the concept of GCF with examples and demonstrates factoring using an area model. It then shows how to factor using the distributive property, providing examples such as factoring 24x - 32. The lesson concludes with a summary of the key points covered.

What is the main method used in this lesson to factor linear expressions?

• Distributive property

• Quadratic formula

• Binomial expansion

• Pythagorean theorem

Which term describes a number that multiplies a variable in a linear expression?

• Rational coefficient

• Constant

• Exponent

• Variable

What is the greatest common factor of 24 and 32?

• 8

• 12

• 6

• 4

In the area model, what does the height of the rectangle represent when factoring 4x + 8?

• The variable x

• The length of the rectangle

• The constant term

• The greatest common factor

When using the distributive property, how is 4x + 8 rewritten?

• 8(x + 1)

• 4(x + 4)

• 4(x + 2)

• 2(2x + 4)

What is the first step in using the distributive property to factor 24x - 32?

• Multiply by 8

• Subtract 8 from both terms

• Divide by 2

• List the factors of 24 and 32

What is the greatest common factor of 24x and 32?

• 4

• 6

• 8

• 12

How is 24x - 32 expressed using the distributive property?

• 6(4x - 5)

• 4(6x - 8)

• 8(3x - 4)

• 12(2x - 3)

What is the result of factoring 24x - 32 using the distributive property?

• 4(6x - 8)

• 12(2x - 3)

• 8(3x - 4)

• 6(4x - 5)

What is the purpose of using the distributive property in factoring?

• To find the greatest common factor

• To solve quadratic equations

• To expand polynomials

• To simplify expressions