Family Age Relationships and Equations

The video tutorial revises a practice problem from a lesson on linear equations. It involves solving a puzzle about the ages of family members using algebraic equations. The problem is broken down by defining variables for each family member's age, setting up equations based on given relationships, and simplifying these equations to solve for Andre's age. The solution is verified by checking the sum of all ages.

What is the main objective of the age puzzle problem introduced in the video?

• To determine the ages of Andre, his brother, sister, and mother

• To compare the ages of Andre and his sister

• To calculate the average age of the family

• To find the sum of all ages

How is Andre's age related to his brother's age?

• Andre is twice as old as his brother

• Andre is three years younger than his brother

• Andre is the same age as his brother

• Andre is three years older than his brother

What is the relationship between Andre's age and his sister's age?

• Andre is two years older than his sister

• Andre is twice as old as his sister

• Andre is two years younger than his sister

• Andre is the same age as his sister

How is the mother's age related to the brother's age?

• The mother is three years older than the brother

• The mother is the same age as the brother

• The mother is twice the brother's age

• The mother is one year less than three times the brother's age

What is the equation set up for the sum of all ages?

• X + B + S + M = 100

• X + (X + 3) + (X - 2) + (3(X + 3) - 1) = 87

• X + (X - 3) + (X + 2) + (3(X - 3) + 1) = 87

• X + (X + 2) + (X - 3) + (3(X + 2) - 1) = 87

What is the first step in simplifying the equation?

• Divide all terms by 3

• Remove all the parentheses

• Multiply all terms by 2

• Add all the numbers together

What property is used to collect all the numbers on one side of the equation?

• Commutative Property

• Distributive Property

• Identity Property

• Associative Property

What is the simplified form of the equation before solving for X?

• 7X + 11 = 87

• 6X + 9 = 87

• 4X + 8 = 87

• 5X + 10 = 87

What is Andre's age after solving the equation?

• 12 years

• 14 years

• 15 years

• 13 years

What is the mother's age after solving the equation?

• 45 years

• 47 years

• 49 years

• 50 years