1. Central School is hosting a “Central Has Talent” show. They will award various prizes for the best 3 acts in the show. First place wins the most money, and each subsequent place after 1st wins $50 less than the previous place.

Question

Let x equal the amount of money first place wins.

Which of the following expressions represents the total amount of prize money? Select all that apply.

x + (x - 50) + (x - 50)

x + (x - 50) + (x - 100)

x - 150

x - 100

3x - 100

3x - 150

Answer 1

x + (x - 50) + (x - 50) can be simplified to 3x - 150. However, the other expressions do not correctly represent the total amount of prize money. Therefore, the correct expressions are:

x + (x - 50) + (x - 50)
3x - 150