Distributing and Simplifying Expressions

The video tutorial covers the distributive property in mathematics, explaining how to distribute a factor across terms within parentheses. It provides examples using both numbers and variables, demonstrating the process of distributing and simplifying expressions. The tutorial emphasizes the importance of using different colors to highlight steps and ensure clarity in understanding the distributive process.

What is the result of distributing a term over an addition inside parentheses?

• The term is subtracted from each element inside the parentheses.

• The term is multiplied by each element inside the parentheses.

• The term is added to each element inside the parentheses.

• The term is divided by each element inside the parentheses.

When distributing a term over a subtraction, what operation is performed?

• The term is divided by each element inside the parentheses.

• The term is subtracted from each element inside the parentheses.

• The term is multiplied by each element inside the parentheses.

• The term is added to each element inside the parentheses.

In the example of distributing 6 over (8 + 10), what is the first step?

• Multiply 6 by 8 and 6 by 10 separately.

• Add 8 and 10 first.

• Divide 6 by 8 and 10.

• Subtract 8 from 10.

What is the result of 6 * 8 + 6 * 10?

• 108

• 96

• 60

• 48

What is the final result of distributing 6 over (8 + 10)?

• 48

• 60

• 108

• 18

When distributing -2 over (3x² + 5x + 1), what is the first term calculated?

• 3x² + 5x + 1

• -2 * 1

• -2 * 5x

• -2 * 3x²

What is the result of -2 * 3x²?

• -6x²

• -5x²

• -2x²

• -3x²

What is the result of -2 * 5x?

• -10x

• -7x

• -5x

• -2x

What is the result of -2 * 1?

• 0

• -1

• -2

• 1

What is the final simplified expression after distributing -2 over (3x² + 5x + 1)?

• -6x² + 10x + 2

• -6x² - 10x - 2

• 6x² + 10x - 2

• 6x² - 10x + 2