Isolating Variables and Age Relationships

The video tutorial explains how to solve an age-related problem involving four children. The oldest child is twice as old as the youngest, and the two middle children are 13 and 15 years old. The average age of the children is given as 14.5 years. The tutorial guides viewers through setting up an equation using variables, simplifying the equation, and solving it to find the age of the youngest child, which is determined to be 10 years old.

What is the relationship between the oldest and youngest child in terms of age?

• The oldest is half the age of the youngest.

• The oldest is twice the youngest.

• The oldest is three times the youngest.

• The oldest is the same age as the youngest.

Tags

CCSS.7.EE.B.3

If the two middle children are 13 and 15 years old, what is the average age of all four children?

• 14.5 years

• 15 years

• 14 years

• 13.5 years

Tags

CCSS.6.EE.B.6

What variable is used to represent the age of the youngest child?

• X

• A

• Z

• Y

Tags

CCSS.6.EE.B.6

How is the age of the oldest child expressed in terms of the youngest child's age?

• X - 2

• 3X

• X + 2

• 2X

Tags

CCSS.7.EE.B.4A

What is the first step in simplifying the equation for the average age?

• Subtracting 28 from both sides

• Dividing by 3

• Combining like terms

• Multiplying by 4

Tags

CCSS.7.EE.A.1

What is the result of combining the terms X and 2X?

• 4X

• 3X

• 2X

• X

Tags

CCSS.8.EE.C.7B

What operation is performed to clear the fraction in the equation?

• Division

• Multiplication

• Subtraction

• Addition

Tags

CCSS.7.EE.B.4A

After clearing the fraction, what is the next step to isolate the variable term?

• Add 28 to both sides

• Subtract 28 from both sides

• Divide by 4

• Multiply by 3

Tags

CCSS.6.EE.B.7

What is the final value of X, representing the age of the youngest child?

• 12

• 15

• 8

• 10

Tags

CCSS.RI.5.3

CCSS.RI.5.5

CCSS.RI.6.5

CCSS.RI.7.5

CCSS.RI.8.3

How is the final answer presented in the conclusion?

• As a list of numbers

• As a complete sentence

• As a mathematical equation

• As a graph

Tags

CCSS.RI.5.3

CCSS.RI.6.5

CCSS.RI.7.3

CCSS.RI.8.3

CCSS.RI.8.5