Equations and Costs Analysis

This video tutorial teaches how to solve equations with variables on both sides using word problems. It covers three examples: comparing costs of a personal trainer and a fitness club, comparing two cruise options, and comparing DVD store membership plans. The video emphasizes the importance of using inverse operations and provides tips for solving such problems effectively.

What is the main focus of this video tutorial?

• Solving equations with variables on both sides

• Solving quadratic equations

• Solving linear equations

• Solving equations with variables on one side

In the first example, what is the one-time fee charged by the personal trainer?

• $25

• $60

• $450

• $10

How much does the fitness club charge per session?

• $25

• $10

• $60

• $450

What is the equation used to find the number of sessions where costs are equal in the first example?

• 60 + 25s = 450 + 10s

• 60 + 10s = 450 + 25s

• 60 = 450 + 10s

• 25s = 10s + 450

What is the solution to the equation in the first example?

• 20 sessions

• 26 sessions

• 30 sessions

• 15 sessions

In the second example, what is the daily charge for Redbird Cruises?

• $30

• $75

• $100

• $85

What is the one-time fee charged by King Cruises?

• $30

• $75

• $100

• $85

What is the equation used to find the number of days where costs are equal in the second example?

• 85d = 100d + 30

• 75 + 85d = 30 + 100d

• 100d + 30 = 85d + 75

• 85d + 75 = 100d + 30

What is the solution to the equation in the second example?

• 2 days

• 3 days

• 5 days

• 4 days

In the third example, what is the yearly membership cost for Plan A?

• $3

• $12

• $30

• $1.50