Word Problems

Fixed Cost + Variable Cost

1. Danica is trying to encourage her classmates to donate books for the fund-raiser and book-drive for the local library. Danica will donate $35.00, plus $0.07 for each book donated by her classmates. Which of the following equations gives Danica's donation, d dollars, if b books are donated by her classmates?

2014 April(71H) Math Question 1

2019 April(Z15) Math Question 2

2009 April(66F) Math Question 2

2019 December(C03) Math Question 4

2011 June(69F) Math Question 4

4. The text message component of each of Juan’s monthly phone bills consists of $10.00 for the first 300 text messages sent that month, plus $0.10 for each additional text message sent that month. On Juan’s most recent phone bill he was charged a total of $16.50 for text messages. For how many text messages in total was Juan charged on this bill?

2018 June(A11) Math Question 4

6. The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?

2017 April(74F) Math Question 6

2012 June(70C) Math Question 6

2019 April(Z15) Math Question 7

7. The shipping rate for customers of Ship Quick consists of a fee per box and a price per pound for each box. The table below gives the fee and the price per pound for customers shipping boxes of various weights.

2014 June(72C) Math Question 7

7. Sienna will be paid $75, plus 25% of her total weekly sales, for the hours she is scheduled to work next week. Let w represent Sienna's total weekly sales, in dollars, for next week. Which of the following expressions gives Sienna's pay, in dollars, for the hours she is scheduled to work next week?

2016 April(73E) Math Question 7

8. As a motivational speaker, Bree speaks at school assemblies, charging a school district for her travel costs and a fixed amount per assembly. Bree used the equation C = 50a + 1,500 to determine the charge of C dollars to speak at a assemblies in the Escambia City School District. Bree charged the district $4,250 to speak at school assemblies, How many assemblies did Bree Speak at in this district?

2013 June(71C) Math Question 8

8. The cost of a long-distance call to a certain city is $1.05 for the first minute and $0.15 for each additional minute or part thereof. What is the cost of a 15-minute call to this city’?

2016 December(74H) Math Question 8

10. Diego purchased a car that had a purchase price of $13,400, which included all other costs and tax. He paid $400 as a down payment and got a loan for the rest of the purchase price. Diego paid off the loan by making 48 payments of $300 each. The total of all his payments, including the down payment, was how much more than the car’s purchase price?

2018 June(A11) Math Question 10

10. Joseph will have a 200-foot-long fence installed around his yard. The A+ Fence Company charges a $500.00 fee, plus a set amount per foot of fence. The A+ Fence Company has given Joseph an estimate of $2,200.00 to install the fence around his yard. What is the set amount per foot of fence?

2015 June(73C) Math Question 10

11. To produce aluminum softball bats, it costs the
Recreation Equipment Supply Company $3,500 for
overhead, plus $2 per softball bat produced. What is
the maximum number of bats that can be produced by
the company for $15,000 ?

2019 June(B02) Math Question 11

2010 December(69A) Math Question 12

2013 December(71E) Math Question 13

15. The theater group had to pay each school a facility charge. For use of its facility, School C charged the theater group 10% of the ticket sales and a fixed fee of $200. How much money did School C charge the theater group for use of its facility?

2018 April(A09) Math Question 15

2018 December(B05) Math Question 15

2009 April(66F) Math Question 19

2010 December(69A) Math Question 20

24. Armin is trying to decide whether to buy a season pass to his college basketball team's 20 home games this season. The cost of an individual ticket is $14, and the cost of a season pass is 8175. The season pass will admit Armin to any home basketball game at no additional cost. What is the minimum number of home basketball games Armin must attend this season in order for the cost of a season pass to be less than the total cost of buying an individual ticket for each game he attends?

2017 April(74F) Math Question 24

2020 June(C02) Math Question 27

2020 June(C02) Math Question 28

2012 April(70G) Math Question 29

2012 June(70C) Math Question 35

2012 April(70G) Math Question 36

37. Suzanne and Chad are going to bake and deliver cookies to college students during final exam week. They estimate it will cost $4 for the ingredients to make each batch of cookies and $50 to buy the mixer, bowls, and other utensils they will need. They decide to sell the cookies for $5 per batch. Assume they have no other expenses. Which of the following equations represents the profit, P dollars, they will make on b batches of cookies?

2016 December(74H) Math Question 37

39. CC Installations' estimate consists of a $650.00 charge for labor, plus a fixed charge per cabinet. The labor charge and the charge per cabinet remain the same for any number of cabinets built and installed. CC Installations would give Gianna what estimate if the craft room were to have twice as many cabinets as Gianna is planning to have?

2014 June(72C) Math Question 39

39. On Monday, Jan and Diego opened separate bank accounts with initial deposits of $28.00 and $161.00, respectively. Every Monday after opening the accounts, Jan will add $18.25 to her account and Diego will withdraw $15.00 from his account. Which of the following equations, when solved, gives the number of weeks (w) after opening the accounts that Jan and Diego will have the same amount of money in their respective accounts? (Note: They make no other deposits or withdrawals, and no interest is applied to the money in the accounts.)

2015 April(73G) Math Question 39

43. After visiting Florida State University during spring break, Francisco rents a car for 2 days to travel around Florida. He has $255 to spend on car rental for the 2 days. Sea Horse Car Rental charges $50 per day and $0.25 per mile. Ocean Blue Car Rental charges $60 per day and $0.20 per mile. Which company, if either, allows him to travel more miles for the 2 days, and how many miles more? (Note: Taxes are already included in the rental charges.)

Fixed Cost + Variable CostWord ProblemsACT math questions

2014 April(71H) Math Question 1

2019 April(Z15) Math Question 2