Distributive Property and Simplification

The video tutorial explains the distributive property in algebra, demonstrating how to simplify expressions by multiplying each term inside parentheses by a factor outside. Two examples are provided: one with positive terms and another with negative terms, illustrating the process of simplification and the handling of negative signs. The tutorial emphasizes understanding the concept to reduce the amount of work shown in calculations.

What is the distributive property formula?

• a + b + c = a * b * c

• a * (b - c) = a * b - c

• a + (b * c) = a + b * c

• a * (b + c) = a * b + a * c

How do you apply the distributive property to 8 * (x + 2y)?

• 8x + 2

• 8x + 16y

• 8x + 2y

• 8 + x + 2y

What is the result of multiplying 8 by 2y?

• 2y

• 10y

• 16y

• 8y

Why can't the terms 8x and 16y be combined?

• They are constants

• They are both x terms

• They are both y terms

• They are not like terms

What is the result of applying the distributive property to -2 * (3a - 7b)?

• 6a + 14b

• -6a - 14b

• -6a + 14b

• 6a - 14b

What is the simplified form of -2 * (3a - 7b)?

• -6a - 14b

• -6a + 14b

• 6a - 14b

• 6a + 14b

What is the result of multiplying -2 by 3a?

• 3a

• -3a

• -6a

• 6a

What is the benefit of using a simplified approach to the distributive property?

• It requires more steps

• It is more complex

• It avoids showing unnecessary work

• It is less accurate

How can you think of the expression -2 * -7b in a simplified way?

• As 7b

• As -14b

• As 14b

• As -7b