Factoring Expressions Explained

The video tutorial covers the process of factoring expressions, using examples like 12 + 9q and 20h - 6. It begins with an introduction to factoring and the use of Fish Math for visual representation. The tutorial explains how to find the greatest common factor (GCF) and use it to factor expressions into groups. The first example, 12 + 9q, is demonstrated with visual aids, while the second example, 20h - 6, is solved algebraically without visuals. The tutorial emphasizes checking work using the distributive property and understanding the commutative property.

What tool is the teacher using to demonstrate factoring?

• Fish Math

• Factor Finder

• Math Blocks

• Algebra Solver

What is the first step in factoring the expression 12 + 9q?

• Using the distributive property

• Grouping the terms

• Drawing the pieces

• Finding the GCF

How many groups can be made from the expression 12 + 9q?

• 2

• 6

• 3

• 4

What is the GCF of 12 and 9?

• 1

• 2

• 3

• 4

What property allows us to add terms in any order?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

What is the GCF of 20 and -6?

• 3

• 2

• 1

• 6

What is the factored form of 20h - 6?

• 2(10h - 3)

• 2(10h + 3)

• 4(5h + 1.5)

• 4(5h - 1.5)

What should you do to verify your factored expression?

• Use the associative property

• Use the commutative property

• Check the original expression

• Re-multiply using the distributive property

What method is used to factor expressions without a picture?

• Using algebraic equations

• Finding the GCF and grouping

• Using the distributive property

• Using blocks

What pages in the packet will you practice factoring both visually and algebraically?

• 30 and 31

• 32 and 33

• 34 and 35

• 36 and 37