ALGEBRA 2 STORY PROBLEMS
NAME: ______
DATE: ______HOUR: ______
1. Luke decides to market his own custom computer software. He must invest $4305 on computer hardware, and spend $2.75 to buy and package each disk. If each program sells for $13.00, how many copies must Luke sell to break even?
2. Ben has a farm in western Michigan. To keep his operating costs down, he buys many products in bulk and transfers them to smaller containers for use on the farm. Often the bulk products are not the correct concentration and need to be custom mixed before Ben can use them. One day he wants to apply fertilizer to a large field. A solution of 67% fertilizer is to be mixed with a solution of 46% fertilizer to form 42 liters of a 47% solution. How much of the 67% solution must he use?
3. Bella operates a soybean farm in Vail, Colorado. To keep her operating costs down, she buys many products in bulk and transfers them to smaller containers for use on the farm. Often the bulk products are not the correct concentration and need to be custom mixed before Bella can use them. One day she wants to apply herbicide to a large field. A solution of 56% herbicide is to be mixed with a solution of 46% herbicide to form 30 liters of a 51% solution. How much of the 56% solution must she use?
4. Shane runs an ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. Kyle paid the admission fees for his six nephews and rented five pairs of ice skates. He was charged $28.00. Charlotte paid the admission fees for her five grandchildren and rented three pairs of ice skates. She was charged $21.00. What is the admission fee? What is the rental fee for a pair of skates?
5. Cameron has a motorboat that can go 16 miles downstream on a river in 20 minutes. It takes 30 minutes for his boat to go back upstream the same 16 miles. Find the speed of Cameron’s boat in still water.
6. Mr. C has a GIGANTIC rectangular University of Michigan flag hanging outside of his house where the length of flag is 3feetless than 2 times the width. If the perimeter of the rectangle is 42feet, what are the dimensions of the flag?
7. Holly has a jar containing only nickels and dimes and it has a total of 60 coins. The value of all the coins in her jar is $4.45. Solve by elimination to find the number of nickels and dimes she has in the jar.
8. Tickets to a Seaholm girls’ swim meet were sold at $6.00 for adults and $4.50 for students. There were 240 tickets sold for a total of $1155.00. Solve by elimination to find the number of adult tickets sold and the number of student tickets sold.
11. On a drive to up north for vacation, Mia’s car traveled at a rate of at least 55 mph on the highway and no more than 70 mph. What compound inequality and graph represent the rate at whichMia drove her car on the highway?
12. A zucchini plant in Justin's garden was 15 centimeters tall when he first planted it. Since then, Jason noticed that the plant has grown approximately 1.9 centimeters per day.
a. Write a rule to describe the function.
b. Estimate the zucchini plant's height after 10 days.
c. After how many days will the zucchini plant be 43.5 centimeters tall?
13. Maggieand Grace leave their homes traveling in opposite directions on a straight road. Maggie drives 30 miles per hour faster than Grace. After 4 hours they are 440 miles apart. Calculate how fast Maggie and Grace were each driving.
14. Aliyah and Sarah are 220 kilometers apart at noon and are headed toward each other along a straight road. They meet at 5:30 P.M., and Aliyah traveled 20 kilometers per hour faster than Sarah. Calculate how fast Aliyah and Sarah were each traveling.
15. Molly’s train leaves a station traveling at 48 kilometers per hour. Four hours later, Courtney train leaves the same station traveling in the same direction at 68 kilometers per hour. How long did it take Courtney’s train to catch up with Molly’s?
16.Andrew has a rectangular table where the length of it is one inch less than three times the width. The perimeter of the table is 62 inches. What are the length and width ofAndrew’s table?