Linear Expression Operations Worksheets Grade 7

1. Mere is organizing the bookshelves in her classroom. The fiction section has (8x + 24) books, and the non-fiction section has (6x - 12) books. During a book drive, the class adds (4x + 18) more fiction books, but then removes (2x - 6) non-fiction books to make space for a new display. What simplified expression represents the total number of books on the shelves after these changes?
2. Maya is designing a community mural project that will cover two adjacent walls. The first wall has a length of (5x + 12) feet, and the second wall has a length of (3x - 7) feet. She needs to calculate the total length of trim needed to frame both walls. What is the simplified expression for the total length of trim Maya needs?
3. (12x - 7) - (8x + 5) = ?

…and 4 more problems

1. Mason draws a rectangular garden on a coordinate plane with vertices at (17, 12), (37, 12), (37, 27), and (17, 27). Inside the garden, he marks a triangular flower bed with vertices at (17, 12), (37, 12), and (27, 22). He wants to plant grass in the remaining area of the garden. What is the area of the grassy region?
2. (24x - 18) - (10x + 14) = ?
3. Noah is tracking the total points his basketball team has scored this season. In the first game, they scored (9x + 17) points. In the second game, they scored (13x - 8) points. In the third game, they scored (2x + 25) points, but the coach realized that the score from the third game actually included a 5-point penalty that should be subtracted from their total. What is the simplified expression for the team's total points after removing the penalty from the third game?

…and 4 more problems

1. A rectangular swimming pool is drawn on a coordinate plane with vertices at (15, 10), (45, 10), (45, 30), and (15, 30). A triangular shallow section for children is marked inside the pool with vertices at (15, 10), (45, 10), and (30, 20). What is the area of the deep swimming section of the pool?
2. Maria is designing a community mural project. The rectangular mural will have a length represented by (5x + 12) feet and a width represented by (3x - 7) feet. The city council wants to add a protective frame around the entire mural. What simplified expression represents the total length of framing needed for the perimeter of Maria's mural?
3. Noah is designing a rectangular mural on a coordinate grid, with vertices at (11, 16), (51, 16), (51, 36), and (11, 36). He plans to paint a triangular section with vertices at (11, 16), (51, 16), and (31, 26) in a different color. What is the area of the remaining rectangular section of the mural after the triangle is painted?

…and 4 more problems