Distributive Property and Its Applications

The video tutorial explains the application of the negative sign in expressions using the Distributive Property. It begins by introducing the concept of applying a negative sign to both terms in an expression. The tutorial then describes how subtraction can be viewed as adding the negative of a number. It further demonstrates the Distributive Property by showing how to distribute a negative sign through multiplication. The video generalizes the Distributive Property, explaining its application to variables and terms within parentheses. Finally, it applies the property to simplify expressions, illustrating the process with examples.

What is the broader property being applied when a negative sign is distributed across terms?

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

How can subtraction be reinterpreted in terms of addition?

• As adding the positive of a number

• As adding the negative of a number

• As subtracting the positive of a number

• As subtracting the negative of a number

What operation is equivalent to taking the negative of a number?

• Multiplying by 0

• Dividing by 2

• Multiplying by -1

• Adding 1

When distributing a negative sign, what is the invisible operation between the coefficient and the parentheses?

• Addition

• Subtraction

• Division

• Multiplication

In the expression -1(x + 9), what is the result of distributing the -1?

• -x + 9

• x - 9

• -x - 9

• x + 9

What does the Distributive Property allow you to do with terms inside parentheses?

• Multiply each term by a factor outside the parentheses

• Subtract them from each other

• Add them together

• Divide them by a common factor

If a = 2, b = 3, and c = 4, what is the result of applying the Distributive Property to a(b + c)?

• 10

• 24

• 20

• 14

What is the result of distributing -1 across the expression (x - 9)?

• -x + 9

• x + 9

• x - 9

• -x - 9

How does the Distributive Property affect the terms inside the parentheses?

• It multiplies each term by the factor outside

• It adds them together

• It divides them by the factor outside

• It subtracts them from each other

What is the simplified form of 4 - (x + 9) using the Distributive Property?

• 4 - x - 9

• 4 + x + 9

• 4 + x - 9

• 4 - x + 9