Distributive Property and Simplification

The video tutorial explains the distributive property, which involves multiplying a single term by each term inside parentheses. It provides examples of simplifying expressions, including trinomials and expressions with negative coefficients. The tutorial emphasizes the importance of understanding the rules for multiplying signed numbers and demonstrates how to simplify complex expressions using the distributive property.

What is the distributive property formula?

• a / (b + c) = a / b + a / c

• a * (b + c) = a * b + a * c

• a + (b * c) = a + b * c

• a - (b + c) = a - b + c

How do you apply the distributive property to 3 * (r + 2s - 4)?

• 3r + 6s + 12

• 3r + 2s - 12

• 3r + 2s - 4

• 3r + 6s - 12

What is the simplified expression for 3 * (r + 2s - 4)?

• 3r + 6s - 12

• 3r + 2s - 4

• 3r + 6s + 12

• 3r + 2s + 12

What is the result of applying the distributive property to -9p * (p + 2)?

• 9p^2 - 18p

• -9p^2 + 18p

• 9p^2 + 18p

• -9p^2 - 18p

What happens when you multiply a negative number by a positive number?

• The result is negative

• The result is positive

• The result is zero

• The result is undefined

In the expression -9p * (p + 2), what is the term for p^2?

• -9p^2

• 9p^2

• 18p^2

• -18p^2

When simplifying -5b * (2a + 8b - 1), what is the coefficient of b^2?

• -10

• -40

• 40

• 10

What is the simplified form of -5b * (2a + 8b - 1)?

• -10ab - 40b^2 + 5b

• -10ab + 40b^2 - 5b

• 10ab - 40b^2 + 5b

• 10ab + 40b^2 - 5b

How do you express -5b * -1 using the distributive property?

• 0

• -5b

• 5b

• 1

What is the result of -5b * (2a + 8b - 1) in terms of a?

• -5ab

• -10ab

• 10ab

• 5ab