Expand Linear Expressions Worksheets Grade 7

1. Matiu is organizing a school fundraiser where he sells rectangular tiles decorated by students. Each tile has a length that is 4 centimeters more than twice its width. The width of each tile is represented by w centimeters. Matiu wants to create a special display by placing a uniform frame around each tile that adds 6 centimeters to both the length and the width. Write a simplified expression in expanded form for the total area of the framed tile, including the frame.
2. 5(10x - 15) + 3(20 - 5x) = ?
3. Emma is designing a rectangular mural for her school's art project. The mural's length is 5 meters more than three times its width. She needs to calculate the total area to determine how much paint to purchase. If the width of the mural is represented by w meters, write a simplified expression for the total area of the mural in expanded form.

…and 4 more problems

1. 2(3x + 4) - 5(x - 2) = ?
2. Mere is helping to organize the school's charity fun run. Each participant pays a registration fee of $15. Additionally, the school receives a fixed donation of $250 from a local sponsor, regardless of the number of participants. If p represents the number of participants, write a simplified expression using the distributive property to show the total amount of money the school receives from the fun run.
3. A rectangular community garden is being expanded. The original garden has a length of (4x + 7) meters and a width of (3x - 2) meters. The city wants to add a walking path around the entire garden that increases both dimensions by 5 meters. Write a simplified expression for the total area of the expanded garden including the walking path.

…and 4 more problems

1. A rectangular prism is drawn on a coordinate plane with vertices at (0, 0, 0), (6, 0, 0), (6, 4, 0), (0, 4, 0), (0, 0, 3), (6, 0, 3), (6, 4, 3), and (0, 4, 3). What is the total surface area of this rectangular prism?
2. 4(3x - 7) + 2(5x + 6) = ?
3. Mere is organizing the school's book fair in the library. She has a rectangular display table. The length of the table is (8x + 12) centimeters and the width is (6x - 10) centimeters. To fit all the books, she needs to cover the entire table with a special cloth. Write a simplified expanded expression for the area of the table in square centimeters.

…and 5 more problems