Distributive Property Applications

The video tutorial introduces the distributive property, also known as the breaking apart property, and explains how it can be used in algebraic expressions. It provides examples using both numbers and variables to demonstrate the property. The tutorial also covers how to apply the distributive property in reverse to break down expressions. The key takeaway is that the distributive property allows for the multiplication of a single term across a sum or difference, and it can be applied in both directions to simplify or expand expressions.

What is the distributive property also known as?

• The breaking apart property

• The combining property

• The commutative property

• The associative property

In the expression a(B + C), what does the parenthesis indicate?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of applying the distributive property to 9(3 + 2)?

• 27

• 45

• 18

• 36

How do you apply the distributive property to 9(3 + 2)?

• 9 * 3 + 2

• 9 + 3 * 2

• 9 + 3 + 2

• 9 * 3 + 9 * 2

What is the result of 9 times 3 using the distributive property?

• 27

• 45

• 18

• 36

What is the result of 9 times 2 using the distributive property?

• 36

• 18

• 45

• 27

What is the sum of 9 times 3 and 9 times 2?

• 36

• 45

• 54

• 63

What is the first step in using the distributive property on 6(Y - 3)?

• Divide 6 by Y

• Multiply 6 by Y

• Subtract 3 from Y

• Add Y and 3

In the expression 6(Y - 3), what does the distributive property allow you to do?

• Add 6 to Y and 3

• Multiply 6 by both Y and -3

• Subtract 6 from Y and 3

• Divide 6 by Y and 3

What is the result of applying the distributive property to 6(Y - 3)?

• 6Y - 18

• 6Y + 18

• 6Y + 3

• 6Y - 3