Exploring the 4-4-2 Formation in Soccer

This video tutorial covers lesson 442, focusing on the distributive property and combining like terms. The instructor uses multiple examples to demonstrate how to apply the distributive property using area models. The lesson includes examples with variables, fractions, and negative numbers, emphasizing the importance of combining like terms and maintaining standard form. Each example is broken down step-by-step, with calculations shown and explained. The video concludes with a final example and a summary of the key concepts covered.

What is the result of distributing 9 over (2 + 3y)?

• 9 + 6y

• 27 + 9y

• 18 + 27y

• 11 + 12y

How do you simplify the expression after combining like terms from 18 + 27y - 8y - 40?

• 35y - 40

• 27y - 48

• 19y - 22

• 10y - 22

What does the area model help in understanding when multiplying polynomials?

• Finding the derivatives

• Solving quadratic equations

• Calculating the highest common factor

• Visualizing the distribution process

What is the simplified form of 18 - 9g + (-2g) + 14?

• 7g + 32

• -11g + 32

• 18g + 12

• -11g - 32

After distributing 4 over (2x + 3y) and adding 17, what is the result?

• 8x + 12y + 17

• 8x + 15y + 17

• 4x + 6y + 17

• 6x + 9y + 17

What does multiplying 4 by one-half x plus 3y yield?

• 8x + 12y

• 4x + 12y

• 2x + 12y

• 2x + 6y

How do you simplify 2x + 12y + 6y?

• 2x + 6y

• 8x + 18y

• 14x + 12y

• 2x + 18y

What is the result of distributing 2 over (3x - 4y) and then subtracting 15y + 24?

• 6x - 8y - 24

• 5x - 19y - 24

• 6x - 8y - 39

• 6x - 23y - 24

After distributing 1/4 over 8x + 12 and adding the result to 8 - 12x, what is the simplified expression?

• 2x + 15

• -10x + 11

• -10x - 1

• 8x + 3

What is the simplified form of the expression after combining like terms from 2x - 12x + 3 + 8?

• -14x + 11

• -10x + 11

• 10x + 11

• -10x - 5