Distributing and Isolating Variables

Arlene from Silent Math presents a video tutorial on solving equations involving the distributive property. The video covers five examples, each increasing in complexity, demonstrating how to solve for variables using distribution and simplification techniques. The tutorial includes a special problem requested by a follower, emphasizing the importance of understanding each step in the process. Arlene encourages viewers to engage with the content and reach out with questions or requests for future videos.

What is the main focus of the video tutorial?

• Learning about geometry

• Solving quadratic equations

• Understanding the distributive property

• Exploring calculus concepts

In the first example, what operation is performed with the negative 3?

• Addition

• Division

• Subtraction

• Multiplication

What is the result of distributing negative 3 to x in the first example?

• -x

• x

• -3x

• 3x

How do you isolate x in the equation -3x = 21?

• Add 3

• Subtract 3

• Divide by -3

• Multiply by -3

What is the final value of x in the first example?

• 7

• -7

• 21

• -21

In the second example, what is the first step to solve the equation?

• Add terms

• Distribute the 4

• Subtract terms

• Divide by 4

What is the result of distributing 4 to 6x in the second example?

• 10x

• 24x

• 20x

• 16x

How do you move 20x to the left side in the second example?

• Divide by 20x

• Multiply by 20x

• Subtract 20x

• Add 20x

What is the final value of x in the second example?

• 10

• -10

• 5

• -5

In the third example, what is unique about the distribution?

• It involves fractions

• It uses subtraction

• It is done on both sides of the equation

• It uses addition