Solving Coin Value Problems

This video tutorial demonstrates solving an application problem using a linear equation in one variable. It begins with a problem statement involving quarters and nickels, identifies variables, and forms expressions to represent the total value of coins. The tutorial then forms and solves an equation to find the number of each type of coin, verifies the solution, and concludes with a summary of the findings.

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

• Identify the variables

• Solve the equation

• Verify the solution

• Read the problem

How is the number of nickels related to the number of quarters in Jesse's pocket?

• The number of nickels is equal to the number of quarters

• The number of nickels is twice the number of quarters

• The number of nickels is five less than twice the number of quarters

• The number of nickels is five more than twice the number of quarters

Which variable is used to represent the number of quarters?

• n

• q

• p

• x

What is the total value of all the coins in Jesse's pocket?

• $6.75

• $5.65

• $7.55

• $6.55

What is the expression used to represent the total value of the quarters?

• 0.10q

• 0.05q

• 0.50q

• 0.25q

What is the first step in solving the equation with decimals?

• Divide both sides by 0.35

• Clear the parentheses and combine like terms

• Add 0.25 to both sides

• Multiply both sides by 100

What is the value of q after solving the equation with decimals?

• 16

• 18

• 20

• 22

How many quarters does Jesse have?

• 22

• 16

• 18

• 20

How many nickels does Jesse have?

• 39

• 42

• 40

• 41

What is the purpose of verifying the solution?

• To determine the value of q

• To check if the equation is set up correctly

• To ensure the solution satisfies the original problem

• To find the number of nickels