Exploring Applications of Systems of Equations

The video tutorial covers solving word problems using systems of equations. It begins with an introduction to the topic and outlines three main steps: defining variables, setting up equations, and solving the system using substitution or elimination. Three examples are provided: calculating the number of books and notebooks purchased, determining the number of pennies and nickels, and finding the calories in cheeseburgers and fries. Each example demonstrates the application of the outlined steps, using either substitution or elimination to find the solution.

What is the first step in solving word problems using systems of equations?

• Translate the problem into another language

• Solve the equations

• Write the conclusion

• Define the variables

What method was used to solve the system of equations in the books and notebooks problem?

• Graphing

• Matrix methods

• Substitution

• Elimination

How many books did Marcy buy?

• 7 books

• 20 books

• 13 books

• None of the above

In the pennies and nickels problem, what does 'P' stand for?

• Total value of coins

• Number of nickels

• Price of a penny

• Number of pennies

What was the total value of the pennies and nickels?

• $1.98

• $2.03

• $2.98

• $0.98

How many nickels did Kent have?

• None of the above

• 58 nickels

• 53 nickels

• 29 nickels

What is the first equation in the cheeseburgers and fries problem?

• 3C + 2F = 1330

• 4C + 5F = 310

• 12C + 8F = 5320

• 12C + 15F = 6930

How many calories does one order of fries contain?

• 230 calories

• 290 calories

• 310 calories

• 330 calories

What technique was used to solve the equations in the cheeseburgers and fries problem?

• Substitution

• Matrix methods

• Graphing

• Elimination

How many cheeseburgers are equivalent to the calories of two orders of fries in the problem?

• Three cheeseburgers

• Four cheeseburgers

• Five cheeseburgers

• None of the above