Factor Linear Expressions Worksheets Grade 7

1. A community center is planning a mural project that requires rectangular panels. The total area needed for the mural can be expressed as 42x + 56 square feet, where x represents the length of each panel in feet. The project manager needs to factor this expression to determine the standard width that will work for all panels. What is the factored form of the expression 42x + 56 using the greatest common factor?
2. A rectangular garden is being designed with length (8x + 12) feet and width (6x + 9) feet. The landscape architect needs to factor both expressions to determine the greatest common side length for square paving stones that will fit evenly along both dimensions. What is the greatest common factor of the length and width expressions?
3. Factor: 150x + 225 = ?

…and 3 more problems

1. Factor: 105x + 63 = ?
2. Factor: 91x + 26 = ?
3. A community center is planning a mural project that requires rectangular panels. The total area needed for the panels can be expressed as 42x + 56 square feet, where x represents the length of each panel in feet. The project manager needs to factor this expression to determine the standard width that will work for all panels. What is the factored form of the expression 42x + 56 using the greatest common factor?

…and 4 more problems

1. Isabella is helping her school organize a book donation drive. The total number of books collected can be expressed as 144x + 192, where x represents the number of classrooms that participated. The school wants to package the books into identical boxes for distribution, with each box containing the same number of books from each classroom. What is the greatest common factor of the terms in the expression 144x + 192?
2. Factor the expression: 18x + 24 = ?
3. A construction company is ordering materials for a large project. They need to calculate the total area of flooring required, which is expressed as 24000x + 36000 square feet, where x represents the length of one section in feet. Factor this expression completely to find the greatest common factor that represents the width of the flooring sections.

…and 4 more problems