Understanding Distributive Property: Expanding and Factoring

This video tutorial covers the concepts of expanding and factoring expressions using the distributive property. It explains how to organize work when using the distributive property, and how to rewrite expressions with positive and negative numbers. The video provides examples of expanding expressions by converting a product into a sum and factoring expressions by identifying common factors to rewrite a sum as a product. The tutorial emphasizes understanding the vocabulary and applying these techniques to write equivalent expressions.

What is one of the main goals of the lesson?

• To understand the distributive property for expanding and factoring

• To memorize multiplication tables

• To practice addition and subtraction

• To learn how to solve quadratic equations

When expanding the expression -4(x + 6), what is the result?

• 4x + 24

• 4x - 24

• -4x - 24

• -4x + 24

Which property is used to write a product as a sum?

• Associative Property

• Identity Property

• Commutative Property

• Distributive Property

What is the result of expanding -4(x + 6) using the distributive property?

• 4x + 24

• 4x - 24

• -4x - 24

• -4x + 24

What does it mean to factor an expression?

• To simplify the expression by combining like terms

• To write a sum as a product using the distributive property

• To add all terms together

• To divide the expression by a constant

In the example of factoring 12x - 8, what is the greatest common factor used?

• 3

• 2

• 6

• 4

What is the result of factoring 12x - 8 using the distributive property?

• 4(3x - 2)

• 4(3x + 2)

• 2(6x - 4)

• 3(4x - 2)

What is the purpose of using a diagram in factoring?

• To visualize the multiplication process

• To identify the greatest common factor

• To simplify the expression

• To check the accuracy of the result

How can the expression 4(3x - 2) be rewritten?

• 8x - 6

• 12x - 8

• 8x + 6

• 12x + 8

What is emphasized in the review of the lesson's goals?

• The need to practice more problems

• The application of the lesson in real-life scenarios

• The importance of memorizing formulas

• The use of the distributive property for both expanding and factoring