Solving Systems of Equations with Money and Coins

What is the first step in solving a word problem involving systems of equations?

• Using a calculator

• Drawing a diagram

• Identifying the variables

• Guessing the answer

If you have 23 coins in total, which equation represents the relationship between nickels (N) and dimes (D)?

• N * D = 23

• N - D = 23

• N + D = 23

• N / D = 23

How much is a dime worth in dollars?

• 0.01 dollars

• 0.05 dollars

• 0.10 dollars

• 0.25 dollars

What is the equation for the total value of the coins if N is the number of nickels and D is the number of dimes?

• 0.10N + 0.05D = 2.55

• 0.05N + 0.10D = 2.55

• 0.10N + 0.05D = 1.55

• 0.05N + 0.10D = 1.55

What can you do to simplify the equation 0.05N + 0.10D = 1.55?

• Divide by 10

• Divide by 100

• Multiply by 10

• Multiply by 100

Which method is used to solve the system of equations in the video?

• Trial and Error

• Graphing

• Substitution

• Elimination

What is the value of N after solving the system of equations?

• 8

• 15

• 10

• 23

How many dimes are there if there are 15 nickels?

• 5

• 15

• 10

• 8

What is the total value of 15 nickels?

• 1.50 dollars

• 1.25 dollars

• 1.00 dollars

• 0.75 dollars

What should you do after solving the equations to ensure your solution is correct?

• Check the solution by substituting back into the original equations

• Move on to the next problem

• Ask a friend

• Guess the answer