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

Tags

CCSS.6.EE.A.3

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

• 3r + 6s + 12

• 3r + 2s - 12

• 3r + 2s - 4

• 3r + 6s - 12

Tags

CCSS.6.EE.A.3

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

• 3r + 6s - 12

• 3r + 2s - 4

• 3r + 6s + 12

• 3r + 2s + 12

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

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

Tags

CCSS.6.EE.A.3

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

• -9p^2

• 9p^2

• 18p^2

• -18p^2

Tags

CCSS.6.EE.A.3

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

• -10

• -40

• 40

• 10

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.6.EE.A.3

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

• 0

• -5b

• 5b

• 1

Tags

CCSS.6.EE.A.3

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

• -5ab

• -10ab

• 10ab

• 5ab

Tags

CCSS.6.EE.A.3