Multi-Step Equations Worksheets Grade 7

1. A rectangular mural is painted on a wall with corners at (0, 0), (36, 0), (36, 20), and (0, 20). A triangular abstract design is painted inside the mural with vertices at (0, 0), (36, 0), and (18, 14). What is the area of the mural that is NOT covered by the triangular design?
2. Emma is planning a school fundraiser and needs to order custom t-shirts. The printing company charges a $150 setup fee plus $8 per shirt. If Emma's budget for the shirts is $1,230, how many t-shirts can she order?
3. A factory produces 15,000 units of a product. After quality control inspection, 12% of the units are rejected. The remaining units are packaged into boxes that can hold 48 units each. How many full boxes can be packaged from the acceptable units?

…and 5 more problems

1. A school is organizing a field trip and needs to rent buses. Each bus can hold 42 students. There are 315 students going on the trip. The bus company charges a flat fee of $150 plus $85 per bus rented. How many buses does the school need to rent, and what will be the total cost?
2. A rectangular playground is drawn on a coordinate plane with corners at (2, 3), (2, 15), (10, 15), and (10, 3). A triangular sandbox is placed inside the playground with vertices at (2, 3), (10, 3), and (6, 11). The playground area that is not the sandbox needs to be covered with rubber mats. What is the area that needs mats?
3. Emma is organizing a school bake sale. She bakes 3 batches of cookies, each batch containing the same number of cookies. After selling 17 cookies, she has 43 cookies left. How many cookies were in each batch?

…and 5 more problems

1. Noah is saving up to buy a new bicycle that costs $316. He already has $76 saved from his birthday money. For the next 6 weeks, he plans to save the same amount each week from his allowance. How much money does Noah need to save each week to have exactly enough for the bicycle?
2. Mere is saving money to buy a new laptop that costs $1,024. She already has $256 saved. For each of the next 8 weeks, she plans to save the same amount from her part-time job. After those 8 weeks, she will also receive a $48 birthday gift from her grandmother. How much does Mere need to save each week to have exactly enough for the laptop?
3. 3(2x - 7) + 5 = 4(x + 2) - 3

…and 5 more problems