7.EE.4 — Equations & Inequalities in the Real World

Read each word problem carefully, write the equation, and solve for the unknown variable.

1. 1.Maya is saving money to buy a book that costs $12.75. She already has $4.50 saved. She writes the equation x + 4.50 = 12.75, where x is the amount she still needs to save. How much more money does Maya need?
2. 2.A bag of apples weighs 3.6 pounds. After eating some apples, the bag weighs 1.9 pounds. Using the equation x + 1.9 = 3.6, where x is the weight eaten, how many pounds of apples were eaten?
3. 3.Carlos earns $8.50 per hour at his part-time job. He wants to find out how many hours he must work to earn $59.50. He sets up 8.5h = 59.50. How many hours must Carlos work?
4. 4.A recipe calls for 2/3 cup of sugar. Leah has already measured 1/4 cup. She writes x + 1/4 = 2/3 to find how much more sugar she needs. How much more sugar does Leah need?
5. 5.A plumber charges a flat fee of $35 plus $25 per hour. The total bill was $110. The equation 25h + 35 = 110 represents this situation, where h is the number of hours worked. How many hours did the plumber work?
6. 6.Jordan bought several notebooks at $1.75 each and spent a total of $10.50. Using the equation 1.75n = 10.50, where n is the number of notebooks, how many notebooks did Jordan buy?
7. 7.A temperature drops by 4.5 degrees and reaches –2.3°F. The equation t – 4.5 = –2.3 models this situation, where t is the starting temperature. What was the starting temperature?
8. 8.Three friends split a restaurant bill equally, and each person paid $14.60. Using the equation 3x = 43.80 to find the total bill, what was the total restaurant bill?
9. 9.A school fundraiser raised a total of $276. Each student collected the same amount, and 12 students participated. Using 12x = 276, where x is the amount each student raised, how much did each student raise?
10. 10.A rectangular garden has a length that is 5.2 meters more than its width. The length is 9.8 meters. Using the equation w + 5.2 = 9.8, where w is the width, find the width of the garden.
11. 11.Sophia ran 1/2 mile in the morning and some more miles in the afternoon. She ran 2 3/4 miles total. The equation 1/2 + x = 2 3/4 represents this. How far did Sophia run in the afternoon?
12. 12.A store is selling packs of trading cards for $3.25 each. Damon spent $19.50 on trading cards. Using 3.25p = 19.50, where p is the number of packs, how many packs did Damon buy?
13. 13.Mia is thinking of a number. When she multiplies it by 6 and adds 4, she gets 34. The equation 6x + 4 = 34 represents this. What is the number Mia is thinking of?
14. 14.A group of students each donated $2.50 to a charity jar. The jar now contains $17.50. Using 2.50s = 17.50, where s is the number of students, how many students donated?
15. 15.A picture frame has a perimeter of 54 inches. The width is 11 inches. Using the equation 2(l + 11) = 54, where l is the length, find the length of the frame.
16. 16.Tyler has some money. After spending $6.75 on lunch and $3.50 on a snack, he has $5.25 left. The equation x – 6.75 – 3.50 = 5.25 models this. How much money did Tyler start with?
17. 17.A worker packs 1/3 of a crate of oranges per hour. After several hours, she has packed 4 crates. Using (1/3)h = 4, where h is the number of hours, how many hours did she work?
18. 18.Four times a number, decreased by 7, equals 13. The equation 4n – 7 = 13 models this situation. What is the number?
19. 19.A school bus can carry 48 passengers. After some students get off at the first stop, 31 students remain. Using the equation 48 – x = 31, where x is the number of students who got off, how many students got off at the first stop?
20. 20.Elena buys 5 equally priced notebooks and a pen that costs $1.20. She pays $8.70 in total. Using the equation 5n + 1.20 = 8.70, where n is the cost of one notebook, find the cost of each notebook.
21. 21.A swimming pool holds 12,000 gallons of water. It is being drained at a rate of 450 gallons per hour. Using 12000 – 450t = 7500, where t is time in hours, find after how many hours the pool will have 7,500 gallons remaining.
22. 22.A cell phone plan charges a flat monthly fee of $15 plus $0.10 per text message. Last month's bill was $23.40. Using 0.10m + 15 = 23.40, where m is the number of texts sent, how many text messages were sent?