Converting Expanded Form to Factored Form

The video tutorial explains how to convert expressions from expanded form to factored form. It begins with an introduction to the concept and proceeds with examples, demonstrating the process of identifying common factors, including numbers and variables. The tutorial covers three examples: factoring 6a - 2b, 3a + 6b, and 12y - 42z, highlighting the use of greatest common factors and factor trees. The session concludes with a practice prompt for students.

What is the main topic discussed in the video?

• Graphing linear equations

• Converting expanded form to factored form

• Solving quadratic equations

• Simplifying fractions

What is the common factor in the expression 6a - 2b?

• 2

• 1

• 3

• 6

What is the factored form of 6a - 2b?

• 2(a - 3b)

• 2(3a - b)

• 3(2a - b)

• 6(a - 2b)

What is the greatest common factor of 3 and 6?

• 1

• 2

• 3

• 6

What is the factored form of 3a + 6b?

• 3(a + 2b)

• 6(a + b)

• 3(a + b)

• 2(a + 3b)

What can be a common factor other than a number?

• A variable

• A constant

• A fraction

• A coefficient

What is the result of dividing a variable by itself?

• The coefficient

• One

• Zero

• The variable

What is the greatest common factor of 12 and 42?

• 6

• 3

• 12

• 2

What is the factored form of 12y - 42z?

• 6(y - 7z)

• 6(2y - 6z)

• 12(y - 3.5z)

• 6(2y - 7z)

What is the next step after finding the greatest common factor?

• Adding the terms

• Dividing each term by the common factor

• Multiplying the terms

• Subtracting the terms