Solving Systems of Equations in Real-World Scenarios

The video tutorial covers the use of linear systems to solve real-life problems, introducing the CUBES framework for problem-solving. It includes examples such as comparing costs of streaming services, lawn care services, and determining costs in fundraisers. The tutorial also explores calculating the number of cars washed and ticket sales using linear equations and elimination methods.

What does the 'C' in the CUBES framework stand for?

• Compare

• Check

• Calculate

• Circle

In the CUBES framework, what should you do after underlining the question?

• Circle the numbers

• Eliminate the extra information

• Solve the problem

• Box the units

If Atomic Stream charges $10 for membership and $1 per movie, and Stream charges $15 for membership and $0.50 per movie, how many movies need to be downloaded for the costs to be identical?

• 5 movies

• 20 movies

• 10 movies

• 15 movies

What is the total cost when 10 movies are downloaded from both Atomic Stream and Stream?

• $20

• $15

• $25

• $10

Green Lawn charges a $49 startup fee and $29 per month. Yard Guard charges a $25 startup fee and $37 per month. After how many months will the costs be the same?

• 5 months

• 2 months

• 3 months

• 4 months

What will be the cost after 3 months for both Green Lawn and Yard Guard?

• $120

• $100

• $150

• $136

If the math club spent $135 on 6 cases of juice and 1 case of bottled water, and the science club spent $110 on 4 cases of juice and 2 cases of bottled water, how much does one case of juice cost?

• $20

• $10

• $15

• $25

How much does one case of bottled water cost in the fundraiser problem?

• $25

• $20

• $15

• $10

In the car wash fundraiser, if they charged $3 per car and $5 per pickup/SUV, and earned $275 by washing 75 vehicles, how many cars did they wash?

• 40 cars

• 25 cars

• 50 cars

• 30 cars

How many pickup trucks or SUVs were washed in the car wash fundraiser problem?

• 40

• 35

• 30

• 25