Age Relationships and Expressions

The video tutorial explains how to derive and simplify expressions for the ages of George, Raina, their father, and Uncle Ramon. Starting with George's age as 'y', it builds expressions for Raina, who is four years older, and their father, who is twice Raina's age. Finally, it formulates and simplifies the expression for Uncle Ramon's age, who is 'y' years older than their father, resulting in the expression 3y + 8.

If George is y years old, how much older is Raina than George?

• y + 4 years

• 4 years

• 2y years

• y years

What expression represents Raina's age if George is y years old?

• 2y

• y - 4

• y

• y + 4

How is the father's age related to Raina's age?

• The same as Raina's age

• Twice Raina's age

• Half of Raina's age

• Four times Raina's age

What is the correct expression for the father's age if Raina is y + 4 years old?

• y + 4

• 2 * (y + 4)

• 2y + 4

• y + 8

How much older is Uncle Ramon than the father?

• y years

• y + 4 years

• 4 years

• 2y years

What expression represents Uncle Ramon's age?

• 2y + 4

• 3y + 8

• y + 4

• 2 * (y + 4) + y

What is the first step in simplifying the expression for Uncle Ramon's age?

• Subtract y

• Add y

• Distribute the two

• Combine like terms

What is the simplified expression for Uncle Ramon's age?

• 2y + 8

• 3y + 8

• y + 8

• 4y + 8

What is the coefficient of y in the simplified expression for Uncle Ramon's age?

• 1

• 2

• 3

• 4

What is the constant term in the simplified expression for Uncle Ramon's age?

• 12

• 16

• 8

• 4