Algebraic Relationships and Problem Solving

Professor Dave introduces algebraic word problems, demonstrating how to construct and solve equations. He provides examples involving ages and spots, showing how to assign variables and solve equations to find solutions. The video emphasizes the importance of constructing equations for complex problems.

What is the main purpose of using algebra in word problems?

• To avoid using numbers

• To make math more complicated

• To memorize equations

• To apply math in abstract ways to solve real-world problems

If Gabby is 12 years old, how do we express Sally's age in terms of Gabby's age?

• S = G - 3

• S = 2G + 3

• S = G + 3

• S = 2G - 3

What is Sally's age if Gabby is 12 years old?

• 15

• 18

• 21

• 24

What is the relationship between the ages of the three brothers?

• They are consecutive even numbers

• They are consecutive multiples of three

• They are consecutive odd numbers

• They are consecutive prime numbers

If the youngest brother's age is X, what are the ages of the other two brothers?

• X + 1 and X + 2

• X + 2 and X + 4

• X + 4 and X + 8

• X + 3 and X + 6

What is the sum of the ages of the three brothers?

• 42

• 48

• 36

• 30

What is the age of the youngest brother if the sum of their ages is 36?

• 6

• 9

• 12

• 15

How do you express the age of the second brother if the youngest is X?

• X + 2

• X + 1

• X + 4

• X + 3

What is the equation to find the ages of the three brothers?

• X + X + 4 + X + 8 = 36

• X + X + 2 + X + 4 = 36

• X + X + 3 + X + 6 = 36

• X + X + 1 + X + 2 = 36

How many spots does Jasper have if Rover has R spots?

• J = R + 6

• J = 2R + 6

• J = 3R - 6

• J = R - 6