Equation Word Problems Worksheets Grade 7

1. Emma is planning a road trip from her home in Chicago to visit her grandparents in Denver, a distance of 1,008 miles. Her car can travel 32 miles per gallon of gas, and gas costs $3.50 per gallon. If she also needs to pay $45 for tolls during the trip, how much will Emma spend in total on gas and tolls for the entire round trip?
2. Aroha is selling handmade scarves at a market. She has 135 meters of yarn. Each scarf requires 9 meters of yarn. She also needs to set aside 27 meters of yarn for a special order. After making as many scarves as possible with the remaining yarn, how many scarves can Aroha make?
3. Liam is designing a rectangular garden with a length-to-width ratio of 5:3. He wants the garden to have an area of 1,215 square meters. What are the actual dimensions of Liam's garden?

…and 4 more problems

1. Mason is drawing a rectangular garden on a coordinate grid. One corner of the garden is at (2, 3). The garden has a length of 9 units horizontally and a width of 7 units vertically. What is the area of the garden in square units?
2. Olivia is saving money to buy a new bicycle that costs $255. She already has $75 saved. She plans to save $15 each week from her allowance. How many weeks will it take Olivia to save enough money to buy the bicycle?
3. A rectangular prism is drawn on a coordinate plane with vertices at (0, 0, 0), (8, 0, 0), (8, 5, 0), (0, 5, 0), (0, 0, 6), (8, 0, 6), (8, 5, 6), and (0, 5, 6). A smaller cube with side length 2 units is removed from one corner, positioned with its vertices at (0, 0, 0), (2, 0, 0), (2, 2, 0), (0, 2, 0), (0, 0, 2), (2, 0, 2), (2, 2, 2), and (0, 2, 2). What is the volume of the remaining solid?

…and 2 more problems

1. A rectangular prism is drawn with dimensions 12 cm by 8 cm by 5 cm. A smaller rectangular prism measuring 4 cm by 3 cm by 2 cm is cut out from one corner of the larger prism. What is the volume of the remaining solid?
2. A factory produces two types of electronic components. Type A components sell for $12,500 each and Type B components sell for $8,750 each. Last month, the factory sold 3 times as many Type A components as Type B components. If the total revenue from both types was $1,156,250, how many Type B components were sold?
3. Kaia is saving money to buy a new laptop that costs $1,215. She already has $347 saved. She plans to save an equal amount each week for the next 14 weeks. How much money must Kaia save each week to reach her goal?

…and 4 more problems