Understanding Sticker Price Calculations

This video tutorial demonstrates how to solve an application problem using a linear equation in one variable. It outlines a problem-solving strategy involving reading the problem, identifying and naming the unknown, translating the problem into an equation, solving it, and verifying the solution. The example problem involves determining the sticker price of a car given the amount paid and the discount. The video walks through each step, from setting up the equation to verifying the solution, and concludes with writing the answer in a complete sentence.

What is the first step in the problem-solving strategy outlined in the video?

• Translate into an equation

• Solve the equation

• Identify what you are looking for

• Read the problem and understand it

Why is it important to understand all the words and ideas in the problem?

• To check the answer

• To solve the equation faster

• To accurately translate the problem into an equation

• To ensure the correct variable is chosen

What was the amount Marissa paid for her new car?

• $1,095

• $20,000

• $18,750

• $19,845

Which variable is used to represent the sticker price of the car?

• p

• c

• s

• x

How is the equation set up to find the sticker price?

• s = 18,750 * 1,095

• s = 18,750 - 1,095

• s = 18,750 + 1,095

• s = 18,750 / 1,095

What does the equation 18,750 = s - 1,095 represent in the context of the problem?

• The total cost of the car

• The amount Marissa paid

• The variable s

• The sticker price minus the discount

What operation is performed to isolate the variable s in the equation?

• Division

• Addition

• Multiplication

• Subtraction

What is the sticker price of the car after solving the equation?

• $19,845

• $18,750

• $1,095

• $20,000

What is the purpose of substituting the solution back into the original equation?

• To change the variable

• To verify the solution is correct

• To find a new solution

• To simplify the equation

What is the final step in the problem-solving strategy?

• Translate into an equation

• Write the answer as a complete sentence

• Check the answer

• Solve the equation