Distributive Property and Area Model

The video tutorial covers distributing expressions, starting with a review of factoring expressions from a previous lesson. It explains how to model the distributive property using tape diagrams and demonstrates creating equivalent expressions. The tutorial uses substitution to prove equivalence and discusses expanded and factored forms. An area model approach is introduced to further understand the distributive property. The session concludes with a preview of upcoming class exercises.

What was the focus of lesson 11 that contrasts with the current lesson on distributing expressions?

• Graphing linear equations

• Solving quadratic equations

• Using the least common multiple

• Factoring expressions using the greatest common factor

How can you model the expression 2(a + b) using a tape diagram?

• By showing two groups of (a + b)

• By using a pie chart

• By creating a single diagram with a and b combined

• By drawing two separate diagrams for a and b

If a = 3 and b = 4, what is the value of 2(a + b)?

• 12

• 10

• 14

• 16

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

• 12x + 16y

• 2x + 2y

• 6x + 8y

• 3x + 4y

Which form has the greatest common factor outside the parentheses?

• Expanded form

• Neither form

• Both forms

• Factored form

How do you find the area of a rectangle using the distributive property?

• By adding the length and width

• By multiplying the length by the width

• By subtracting the width from the length

• By dividing the length by the width

What is the equivalent expression for 3(7d + 4e) using the distributive property?

• 3d + 3e

• 7d + 4e

• 21d + 12e

• 28d + 16e

In the area model, what do the length and width represent?

• The sum of the terms

• The coefficients of the terms

• The factors of the expression

• The difference of the terms

What is the purpose of using the area model in the context of the distributive property?

• To visualize the distribution process

• To factor expressions

• To simplify expressions

• To solve equations

What will the class focus on in the next session according to the video?

• Watching another video

• Taking a test

• Reviewing notes

• Doing exercises