Completing the Square with Algebra Tiles

The video tutorial introduces the concept of completing the square, a technique used in solving quadratic equations and converting them into the standard form of a parabola. The instructor uses visual aids to demonstrate how to rearrange components to form a complete square. The tutorial then explains the mathematical steps involved in completing the square and provides a practice problem for viewers to try on their own.

What is the primary purpose of completing the square?

• To solve cubic equations

• To solve exponential equations

• To solve quadratic equations

• To solve linear equations

In the problem x^2 + 6x + blank, what does the blank represent?

• A missing exponent

• A missing coefficient

• A missing constant

• A missing variable

What shape are we trying to form by completing the square?

• Triangle

• Rectangle

• Square

• Circle

What is the length of each green rectangle in the visual representation?

• 1

• x + 1

• x^2

• x

How many units are needed to complete the square for x^2 + 6x?

• 6

• 9

• 12

• 3

What is the first step in the mathematical process to complete the square for x^2 + 6x?

• Subtract 6

• Add 6

• Divide by 2

• Multiply by 2

After dividing by 2, what is the next step in completing the square for x^2 + 6x?

• Multiply by 3

• Subtract 3

• Square the result

• Add 3

What is the completed form of x^2 + 6x + 9?

• (x + 2)^2

• (x + 9)^2

• (x + 6)^2

• (x + 3)^2

In the practice problem x^2 + 12x + blank, what number should fill the blank?

• 36

• 24

• 6

• 12

What is the completed form of x^2 + 12x + 36?

• (x + 9)^2

• (x + 3)^2

• (x + 12)^2

• (x + 6)^2