Write and Solve an Equation for Each Problem

Write and solve an equation for each problem

Writing an equation from word problems

Look at the “story”  What is the unknown?  Where do you start? This might be the variable, or it might be a number.  What happened (+, -, x, or /) a number or variable.  Where are you? This is the total, final answer, not the variable.

1. At the end of a long day of shoe shopping, Sofia has $12.50 left. After tabulating her receipts, she realized she spent $123.73 in one day! How much did Sofia have before her shoe-shopping extravaganza?

2. One-third of the class votes to postpone the test indefinitely. If 8 people voted to postpone the test, how many people were present for the vote?

3. Sam is planning to buy a iPhone which costs $780.00. In addition to the $41.30 he has in his savings account, Sam receives $45.60 for work he has done for his father’s business. How much more money does Sam need in order to buy the new phone? 1 4. Jack’s 12.75 ounce ice cream sundae is 3 ice cream, the remaining amount is toppings. How many ounces of ice cream does his sundae contain?

5. Jess, Morgan, and Mrs. Keller are sharing a snack at TIEE time (shhhh!). 1 1 Jess ate 4 of the chocolate cream pie and Morgan ate 3 of it. How much pie is left over for Mrs. Keller?

6. Mrs. Simon’s science class needs to collect $52 to purchase a hamster, food and bedding. In addition to this, the class will need $57.46 for the hamster’s cage and supplies. If there are 26 students in the class, what is the average amount each student needs to collect?

7. At Jeremy’s Nifty gift-store, he used 18 rolls of wrapping paper to wrap his customer’s gifts last week. Each roll was 5 and a-half feet long. How many gifts did he wrap if a 9 in. long piece of wrapping paper was used to wrap each gift? Write and solve an equation for each problem

8. Last Friday Adam had $22.33. Over the weekend he received some money for cleaning the attic. He now has $32. How much money did he receive?

9. A recipe for cookies calls for and a quarter cups ofsugar. Amy has already put in 3. How many more cups does she need to put in?

10. Katherine is very interested in cryogenics (the science of very low temperatures). With the help of her science teacher she is doing an experiment on the affect of low temperatures on bacteria. She cools one sample of bacteria to a temperature of -51°C and another to -76°C. What was the temperature difference in the two experiments?

11. A diver swims along a reef that is 25 ft below sea level. She swims up 6 feet to check out a barracuda and then floats down to 13 feet to check out a piece of corral. What is the divers depth?

12. You owe $225. on your credit card. You make a $55 payment and then purchase $87 worth of clothes at Dillards. What is the integer that represents the balance owed on the credit card?

13. If it is -25F in Rantoul and it is 75F in Honolulu, what is the temperature difference between the two cities?

14. During the football game, Justin caught three passes. One was for a touchdown and went 52 yards. The other was for a first down and was for 17 yards. The other was on a screen pass that did not work so well and ended up a loss of 10 yards. What was the total yardage gained by Justin on the pass plays?

15. In 2008, Bob’s 401(k) fund lost $9000. In 2009, it lost another $10,000, and in 2010, it lost twice as much as the year before. In 2011, it gained $16,000, and in 2012 it gained $12,000. How much more does it have to gain to be worth what it was at the start of 2013?

16. In golf, the average score a good player should be able to achieve is called "par." Par for a whole course is calculated by adding up the par scores for each hole. Scores in golf are often expressed at some number either greater than or less than par. Mr. Iasellio is having a pretty good day at the Ridgewood Country Club. His score so far after 15 holes is 3 below par. If par for 15 holes is 63, what is his score? Write and solve an equation for each problem

17. Linda’s grocery store stocks cans of soda in 6-packs, 12-packs, and 24-packs. There are x 6-packs, y 12-packs, and z 24-packs. Write an expression to represent the total amount of packs. Write an expression to represent the total amount of cans.

18. When I joined Fitness 19 in the summer, I had two membership options. The first charged me more up front, $100, but less per month, $15. The second charged me less up front, $50, but more per month, $20. If I only join for 3 months, what is the better deal? If I join for 1 year, what is the better deal? Write and solve an equation for “break even point”, where either plan would cost me the same for that amount of time.

19. Sam takes a taxi in NYC. The rate is $5 for the first mile and $1.50 for each additional mile. Tara takes a cab in Hoboken, which is $10 for the first mile and $1 for each additional mile. If they paid the same amount and traveled the same distance, how much did they each travel?

20. Faith spent $78 at Century 21. She bought 2 shirts for $17 each and a pair of jeans. What did the jeans cost?

21. Beth leaves home on her bike, riding at a steady rate of 8mph. Her brother leaves home on his bike half an hour later, traveling on the same route, at a steady rate of 12 mph. How long until her brother catches up to Beth?

22. At the car rental place, one car travels 50mpg heading to Newark Airport. An hour later, another car travels the same route at the speed of 60 mph. How much time until the second car catches up?

23. Five added to twice Erik’s age is the same as three times his age minus two. How old is Erik?

24. Sal eats 2,200 calories in a day. He eats 450 calories at breakfast, twice that at lunch, and then dinner. If he has no snacks, which meal was the most in calories? Write an solve an equation to get your answer.

25. Last week, Carlie had several rice cakes and 3 granola bars as snacks. The snacks contained a total of 800 calories. If the granola bars were 120 cal each and each rice cake was 40 cal, how many rice cakes did she have? Write and solve an equation for each problem

26. Brandon follows a strict 2,800 calorie-per-day diet. Yesterday, he had 11 servings of breaks and cereals, which average 140 calories each. He also had 9 combined servings of fruits and vegetables, averaging 60 calories each. Assuming he eats nothing else but dairy and protein, how many 180-calorie servings of dairy and protein did he have to complete his diet?

27. Three friends each pay $4.15 to buy a pizza. A basic pizza pie costs $9.45 and additional toppings cost $1. How many toppings were on the pizza?

28. The sum of three consecutive integers is 42. Find the three numbers.

29. Jacob worked 68 hours this week. He worked 4 hours less than three times the hours he worked last week. How many hours did he work last week? If he main $500 last week, how much will he earn this week?

30. Tickets for an adult and three children to attend a game cost $40. An adult ticket cost $2 more than the child’s. Find the cost of each ticket.

31. A rectangular deck has a perimeter of 42 feet. The length is 3 feet longer than the width. What is the length and width of the deck?

32. On a family trip, the DeLoughry family drove 842 miles in days. On the second day they drove 24 more miles than the first day. How many miles did they drive each day?

33. On the third day of the school’s charity project, the school sold 14 tickets. That was twice as many as the second day. If 45 tickets were solve in the three days, how many were on the first day?

34. The cost to enter the party is $15.50. Each snack is $0.75. If you spent $22.25, how many snacks did you buy? Write and solve an equation for each problem

1. You run the 60-yard dash in 7.45 seconds while your friend runs it in 6.95. How much faster was your friend?

2. Fifteen people volunteer for park cleanup. The number of volunteers increases by 7 people each month. After how many months will there be 50 volunteers?

3. You have $100 gift card to spend at a store. You buy a purse for $45. Socks are on sale for $2.50. How many socks can you buy with your remaining money?

4. A group of 4 friends are playing golf. The total cost of the round of golf is $108, however the group buys the round on Groupon for $76. How much is the coupon worth?

5. A school makes $715 from ticket sales at the school musical. From the ticket sales, $448 is from adult tickets. Student tickets were $3. How many students attended the play?

6. You are rock climbing and descending a cliff at a rate of about 9ft per minute. The cliff is 360 feet high. How long until you are halfway down the cliff?

7. You are buying flowers to hand out at a school dance. Roses cost $30 for a dozen but cost more if bought individually. With the money you have, you can buy 7 dozen and 4 single roses- 64 roses total. If you spend $226, how much is one rose?

8. A baby weights 7 pounds, 9 ounces at birth. After four months, the baby weighs 22 pounds, 3 ounces. How many pounds did the baby gain? Write and solve an equation for each problem

1 74 9. An ice sculpture originally has a height of 4 inches. It melts through the 7 68 night and after several 5 hours has a height of 8 inches. How much of the sculpture melted? About how much ice melts per hour?

2 3 10. In a bag of candy, 5 of the candy collected is chocolate and 7 of it is sugar. The rest of the bag is your least favorite, things like pretzels and loose lifesavers. What fraction of the bag is your least favorite? If the bag weighs 29 ounces, how much does your least favorite candy weigh?

11. Fifteen people volunteer to “Beautify Wyckoff parks.” The number of volunteers increases by 3 people each month for several months. After how many months will there be three dozen volunteers?

12. You have a piece of wood that is 7 ¾ feet long. You want to cut one piece that is 3 and 7/12 ft long and one piece that is 4 and 1/12 ft long. Do you have enough wood?

13. You’ve been tracking an interesting population change in 2 towns. In Town A, the population is currently 25,500 and is steadily increasing by 2000 people each year. In Town B, the population is 22,400 more than Town A, however it is decreasing by 800 people each year. Assuming this trend continues, in how many years will the populations be the same? Write and solve an equation for each problem

14. Three puppies are born. One weighs 1 pound, 1 ounce and another weighs 1 pound, 3 ounces. If the combined weight of the puppies is 3 pounds, 8 ounces, how much does the other puppy weigh?