Solving Word Problems with Equations: Finding the Cost Equilibrium

The video tutorial teaches how to solve word problems by using equations with one variable. It begins with an example of choosing a cell phone plan and progresses to solving equations by isolating variables. The tutorial then presents a field trip cost problem, demonstrating how to set up and solve equations to find when two bus companies' costs are equal. The lesson concludes with a reminder to check solutions and avoid common mistakes.

What is the main goal when solving equations with one variable?

• To eliminate all variables from the equation

• To find the value of the variable that makes the equation true

• To find the largest possible value for the variable

• To make both sides of the equation equal zero

In the example of solving 4x = 24 - 2x, what is the first step?

• Subtract 24 from both sides

• Add 2x to both sides

• Multiply both sides by 6

• Divide both sides by 4

What is the rental fee for Bus A in the field trip problem?

• $4 per student

• $100

• $2 per student

• $40

How many students are needed for the bus costs to be equal?

• 20 students

• 25 students

• 30 students

• 35 students

Why is it important to check your solution in word problems?

• To change the variables used

• To ensure the solution is logical and makes sense

• To make the problem more complex

• To find a different solution