How to Use the Distributive Property to Simplify an Algebraic Expression

The video tutorial covers the use of the distributive property to simplify algebraic expressions. It begins with an introduction to the concept and its importance in algebra, followed by a detailed explanation of how to apply the distributive property using examples. The tutorial also introduces the area model as an alternative method for organizing work. Advanced techniques for simplifying expressions are discussed, and the lesson concludes with a call to practice the learned skills.

What does the distributive property allow you to do with a sum?

• Multiply each term separately, then add the products.

• Divide each term separately, then add the quotients.

• Add the terms first, then multiply.

• Subtract the terms first, then multiply.

In the expression 2(x + 4), what is the result of applying the distributive property?

• 8x + 2

• 2 + 4x

• 2x + 8

• 2x + 4

How would you express 3(x + 7) using the distributive property?

• 3 + 21x

• 21x + 3

• 3x + 21

• 3x + 7

What is the result of distributing 2/3 over (x - 1)?

• 2/3x + 2/3

• 2/3x - 2/3

• x - 2/3

• 2/3x + 1

What is the purpose of the area model in distribution?

• To add terms visually.

• To subtract terms visually.

• To organize multiplication and addition.

• To divide terms into smaller parts.

Using the area model, what is the simplest form of 1.2(x + 3)?

• 3.6x + 1.2

• 1.2x + 3.6

• 1.2 + 3x

• 1.2x + 3

When simplifying 7(x + 5) + 6, what should you do first?

• Add 5 and 6.

• Subtract 5 from 6.

• Distribute 7 over (x + 5).

• Multiply 7 by 6.

What is the simplest form of 7x + 35 + 6?

• 7x + 6

• 7x + 29

• 7x + 35

• 7x + 41

How do you combine like terms in the expression -3.7x - 7.4 - 17.1?

• -3.7x - 17.1

• -3.7x - 7.4

• -3.7x - 10.3

• -3.7x - 24.5

What is the simplest form of 1/2(2x - 8) + 11x?

• x + 4

• 12x - 4

• x - 4

• 12x + 4