Understanding Distributive Property in Algebra

The video tutorial explains how parentheses indicate groups in mathematical expressions and demonstrates the distributive property. It shows how to model expressions like 2(2x-3) and 4(3x+2) by visualizing groups and simplifying them using multiplication. The tutorial also covers how to apply the distributive property to simplify expressions such as 5(2x-5), emphasizing the importance of maintaining the correct signs between terms.

What do parentheses in algebra typically represent?

• A single number

• An operation

• A variable

• A group of terms

In the expression 2(2x - 3), what does the '2' outside the parentheses indicate?

• The number to be added

• The number of groups

• The number of terms inside

• The number to be subtracted

How do you calculate the total number of x's in 2(2x - 3)?

• 6x

• 4x

• 2x

• 8x

When modeling 4(3x + 2), how many groups of 3x + 2 are needed?

• Five

• Four

• Three

• Two

What is the total number of x's in 4(3x + 2) when modeled visually?

• 6x

• 12x

• 10x

• 8x

What is the simplified result of distributing 4 across 3x in 4(3x + 2)?

• 10x

• 8x

• 6x

• 12x

In the expression 4(3x + 2), what is the result of distributing 4 across 2?

• 10

• 8

• 6

• 4

What is the result of distributing 5 across 2x in 5(2x - 5)?

• 5x

• 20x

• 10x

• 15x

What is the result of distributing 5 across -5 in 5(2x - 5)?

• -30

• -15

• -20

• -25

What is the final expression after distributing in 5(2x - 5)?

• 10x + 25

• 15x + 25

• 10x - 25

• 15x - 25