Understanding the Distributive Property

The video tutorial explains the distributive property, a fundamental algebraic concept used to simplify expressions. It demonstrates how to distribute a number across terms within parentheses, using both positive and negative coefficients. The tutorial provides multiple examples, highlighting the importance of careful handling of negative signs during distribution. By the end, viewers should understand how to apply the distributive property to simplify expressions involving addition and subtraction.

What is the result of applying the distributive property to 5(x + 2)?

• 5x + 2x

• 10x + 5

• 5x + 10

• 5x + 2

What is the first step in applying the distributive property to 5(x + 2)?

• Multiply 5 by x

• Multiply 5 by 2

• Subtract 5 from x

• Add 5 to x

When distributing 3 over (x - 9), what is the correct expression?

• 3x + 27

• 3x + 9

• 3x - 27

• 3x - 9

In the expression 3(x - 9), what operation is performed after distribution?

• Addition

• Subtraction

• Division

• Multiplication

How do you simplify 2(3y + 7) using the distributive property?

• 3y + 14

• 6y + 14

• 6y + 7

• 2y + 21

What is the simplified form of 2(3y + 7)?

• 2y + 21

• 3y + 14

• 6y + 7

• 6y + 14

What is the result of distributing -3 over (n - 4)?

• 3n + 12

• 3n - 12

• -3n - 12

• -3n + 12

Why is it important to be careful when distributing a negative number?

• It can result in a negative product

• It can result in a positive product

• It changes subtraction to addition

• It changes addition to subtraction