Factoring Techniques and Concepts

Factoring Techniques and Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

In Mathcast Edition 8, the session focuses on using the area model to illustrate common factoring with constants and binomials. The video reviews algebra tiles, emphasizing their rules and the zero principle. It covers the greatest common factor and demonstrates factoring through examples, such as 2x + 6 and -3x - 12, using algebra tiles to visualize the process. The session highlights the importance of understanding the relationship between factoring and expanding, and how to work backwards from the area to find dimensions.

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31 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of Mathcast Edition 8?

Understanding complex numbers

Graphing linear equations

Solving quadratic equations

Using the area model to illustrate common factoring

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What color represents positive algebra tiles?

Yellow

Green

Blue

Red

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using algebra tiles in factoring?

To visualize the multiplication process

To graph linear equations

To simplify complex numbers

To solve quadratic equations

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What principle states that a pair of x^2 and -x^2 will cancel each other out?

Addition Principle

Zero Principle

Multiplication Principle

Subtraction Principle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't a 'one' tile touch an 'x^2' tile?

They have different colors

They are both negative

They don't share the same side length

They are both positive

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the zero principle in algebra tiles?

It helps in solving equations

It cancels out equal positive and negative tiles

It is used for graphing

It determines the color of tiles

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key difference between factoring and expanding?

Factoring starts with dimensions, expanding starts with area

Factoring starts with area, expanding starts with dimensions

Factoring and expanding are the same

Factoring is only used for binomials

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