Multi-Step Equations Worksheets Grade 7

1. A rectangular garden is drawn on a coordinate plane with corners at (2, 1), (15, 1), (15, 8), and (2, 8). A triangular flower bed is placed inside the garden with vertices at (2, 1), (15, 1), and (8, 8). What is the area of the remaining garden space after removing the flower bed?
2. 3(2x - 5) + 7 = 4x + 13
3. Sophia is organizing a community food drive. She has already collected 42 cans of food. She plans to collect more cans over the next several days. Each day, she will collect the same number of cans from local donors. After collecting for 8 days, she will donate 18 cans to a local shelter. If Sophia wants to have exactly 216 cans left to distribute to families in need, how many cans must she collect each day?

…and 4 more problems

1. Liam is saving money to buy a new video game that costs $65. He already has $28 saved from his allowance. For the next 4 weeks, he plans to save the same amount each week from his part-time job. How much money does Liam need to save each week to have exactly enough for the video game after 4 weeks?
2. Mason is building a rectangular treehouse platform in his backyard. The length of the platform is 8 feet more than four times its width. If the perimeter of the platform is 116 feet, what is the width of the platform?
3. 3(x + 5) - 2(2x - 1) = 4

…and 5 more problems

1. Emma is designing a rectangular mural for her school's art project. The length of the mural is 3 meters more than twice its width. If the perimeter of the mural is 54 meters, what is the width of the mural?
2. 3(2x - 7) + 5 = 4(x + 3) - 11
3. Emma is planning a school fundraiser and needs to order custom t-shirts. The printing company charges a flat setup fee of $85 plus $12 per shirt. If Emma's budget for the t-shirts is $625, how many shirts can she order without exceeding her budget?

…and 4 more problems