Linear Expression Operations Worksheets Grade 7

1. (47x - 29) + (38x + 16) = ?
2. (12x - 7) - (8x + 5) + (3x - 2) = ?
3. (3x + 7) + (2x - 5) = ?

…and 5 more problems

1. Liam is designing a rectangular garden for his school. The length of the garden is represented by the expression (3x + 7) meters, and the width is (2x - 4) meters. To determine the amount of fencing he needs, he must calculate the perimeter. What is the simplified expression for the perimeter of Liam's garden?
2. A rectangular skatepark is drawn on a coordinate plane with vertices at (3, 1), (15, 1), (15, 9), and (3, 9). A triangular ramp section inside the park is marked with vertices at (3, 1), (15, 1), and (9, 5). Tane wants to find the area of the remaining flat skating area after removing the ramp section. What is that area?
3. Maria is designing a community mural project that requires two different colored borders. The top border length is represented by (5x + 12) feet, while the bottom border is (3x - 8) feet. She also needs side borders: the left side is (2x + 5) feet and the right side is (4x - 3) feet. What is the simplified expression for the total length of all borders combined?

…and 3 more problems

1. Liam is designing a rectangular garden with a length of (3x + 5) meters and a width of (2x - 1) meters. He wants to install a decorative border around the entire garden. Write a simplified expression that represents the total length of border Liam needs to purchase.
2. Noah is designing a rectangular patio on a coordinate grid. The patio has vertices at (6, 11), (46, 11), (46, 31), and (6, 31). Inside the patio, he wants to build a triangular garden bed with vertices at (6, 11), (46, 11), and (26, 21). What is the area of the remaining patio space after the triangular garden bed is built?
3. Kaia is helping to organize the school's art supplies. She has a box of colored pencils that originally contains (9x + 14) pencils. She takes out (4x - 8) pencils to give to a group of students. Later, she finds another box with (6x + 10) pencils and adds them to the first box. What is the simplified expression for the total number of colored pencils Kaia has now?

…and 4 more problems