Distributive Property and Expansion

The video tutorial covers multiplication models, equivalent expressions, and the use of factored and expanded forms. It includes examples and exercises to demonstrate the distributive property and combining terms. Students learn to create models for expressions and find equivalent expressions, focusing on doubling and expanding expressions.

What does the expression 2 times 5 represent in terms of groups?

• 1 group of 10

• 2 groups of 5

• 5 groups of 2

• 10 groups of 1

How can you express 2 times (a + b) using the distributive property?

• 2a + b

• a + 2b

• 2a + 2b

• a + b

What is the expanded form of 2 times (3x + 4y)?

• 3x + 4y

• 6x + 8y

• 2x + 8y

• 6x + 4y

In the expression y(4x + 5), what is the expanded form?

• 4x + 5

• 4xy + 5y

• 4xy + 5

• 4x + 5y

What is the expanded form of 3(7d + e)?

• 21d + 3e

• 7d + 3e

• 21d + e

• 3d + 7e

How many groups are created in the expression 3x + y when modeled?

• 1 group

• 2 groups

• 3 groups

• 4 groups

What is the result of applying the distributive property to 4(2h + g)?

• 8h + 4g

• 2h + 4g

• h + 4g

• 8h + g

What is the expanded form of 5(3x + 9y)?

• 15x + 45y

• 3x + 45y

• 5x + 9y

• 15x + 9y

How do you express 7k + 12m times j in expanded form?

• 7kj + 12mj

• 7k + 12mj

• 7kj + 12m

• k + mj

What is the expanded form of a(9b + 13)?

• a + 9b + 13

• 9ab + 13a

• 9b + 13a

• 9ab + 13