Factor Linear Expressions Worksheets Grade 7

1. Factor the expression: 54x + 72y = ?
2. A community center is planning a mural project that requires rectangular panels. The total area needed for all panels can be expressed as 42x + 56 square feet, where x represents the length of each panel in feet. To determine the standard width that will work for all panels, the director needs to factor this expression using the greatest common factor. What is the factored form of 42x + 56?
3. Factor the expression: 18x + 24y = ?

…and 4 more problems

1. 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?
2. Factor the expression: 42x + 56y = ?
3. A rectangular garden is designed with a length of 24 meters and a width of 18 meters. The gardener wants to divide the entire garden into identical square plots for different vegetables. What is the largest possible side length (in meters) for each square plot so that no space is wasted?

…and 3 more problems

1. A community center is planning a mural project and needs to purchase paint supplies. The total cost for the project can be expressed as 42x + 63 dollars, where x represents the number of paint cans needed. The project manager wants to factor this expression to determine the cost per paint can after accounting for fixed expenses. What is the greatest common factor of the terms 42x and 63?
2. A community center is planning to create rectangular activity zones for their summer program. The total area needed for all zones can be expressed as 42x + 63 square meters, where x represents the length of each zone in meters. The director needs to factor this expression to determine the standard width that will work for all zones. What is the factored form of the expression 42x + 63 using the greatest common factor?
3. Emma is designing a community mural project that requires rectangular panels. The total area needed for all panels can be expressed as 45x + 75 square feet, where x represents the length of each panel in feet. To optimize material usage, she needs to factor this expression using the greatest common factor. What is the factored form of 45x + 75?

…and 3 more problems