Solving Word Problems with Equations

This video tutorial covers solving systems of equations and applying them to real-world modeling problems. It begins with an introduction to systems of equations and the methods of solving them, such as graphing, substitution, and elimination. The tutorial then focuses on using these systems to model real-world problems, providing step-by-step guidance on identifying variables and setting up equations. Several example problems are solved, including ticket sales, coin counting, field trips, and sum and difference problems, demonstrating the application of systems of equations in various contexts.

Which of the following is NOT a method to solve systems of equations?

• Graphing

• Elimination

• Substitution

• Integration

What is the first step in solving a modeling problem using systems of equations?

• Solve the system

• Graph the equations

• Identify the variables

• Write the equations

In the ticket sales problem, what do the variables 's' and 'c' represent?

• Price of senior citizen tickets and child tickets

• Number of senior citizen tickets and child tickets

• Number of tickets sold on the first and second day

• Total sales from senior citizen tickets and child tickets

How many equations are needed if there are two variables in a problem?

• One

• Four

• Two

• Three

In the coin problem, what does the equation 'n + d = 28' represent?

• The total value of the coins

• The number of nickels

• The total number of coins

• The number of dimes

What is the value of each nickel in the coin problem?

• 10 cents

• 25 cents

• 1 cent

• 5 cents

In the problem involving students in vans and buses, what do the variables 'V' and 'B' represent?

• Total number of students

• Total number of vehicles

• Number of students in a van and a bus

• Number of vans and buses

How many students fit in a van according to the problem involving vans and buses?

• 28

• 26

• 14

• 10

In the final problem, what is the sum of the two numbers?

• 28

• 4

• 10

• 24

What is the difference between the two numbers in the final problem?

• 14

• 10

• 24

• 4