Multiplication and Distributive Property

In this lesson, Mr. Hulk explains the concept of distributing expressions in mathematics. The video covers several examples, starting with a model exercise to demonstrate the distribution of numbers and variables. It progresses through examples that illustrate expression equivalence, doubling expressions, and converting expressions to expanded form. The lesson concludes with exercises on applying the distributive property to various expressions, reinforcing the concept through models and diagrams.

What is the result of 2 multiplied by 5 using a model representation?

• 5

• 10

• 15

• 20

How can you represent the expression 2 * (A + B) using models?

• Two models of A + B

• A model of A and two models of B

• Two separate models of A and B

• A single model of A + B

If A equals 3 and B equals 4, what is the result of doubling A + B?

• 28

• 21

• 14

• 7

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

• 6x + 8y

• 9x + 12y

• 3x + 4y

• 12x + 16y

Which of the following is a factored expression?

• 4x + 5

• 4x * y + 5

• 4x * (y + 5)

• 4x + 5y

How do you rewrite 3 * (7D + 4) using the distributive property?

• 21D + 12

• 3D + 12

• 21D + 4

• 7D + 12

What is the equivalent expression for 4 * (2H + G) using the distributive property?

• 2H + 4G

• 8H + 4G

• 8H + G

• 2H + G

In the expression 5 * (3x + 9), what is the expanded form?

• 5x + 9

• 15x + 9

• 3x + 45

• 15x + 45

What is the expanded form of J * (7k + 12M)?

• 7Jk + 12JM

• 7k + 12M

• Jk + JM

• 7J + 12M

How do you express 8a * (9B + 13) in expanded form?

• 72aB + 13a

• 72aB + 104a

• 8aB + 13

• 9aB + 13a