Linear Equations Worksheets Grade 8

1. Noah is comparing two different gym membership plans. Plan A charges a flat fee of $35 per month plus $8 per visit. Plan B charges a flat fee of $15 per month plus $13 per visit. After how many visits in a month will the total cost of both plans be the same?
2. Liam is designing a rectangular garden for his school project. The length of the garden is 5 feet more than twice its width. If the perimeter of the garden is 82 feet, what is the width of the garden in feet?
3. Liam is designing a rectangular garden with a length that is 5 meters more than twice its width. The perimeter of the garden is 46 meters. What are the dimensions of Liam's garden?

…and 5 more problems

1. Liam is saving money to buy a new video game that costs $65. He already has $20 saved from his allowance. Each week, he earns an additional $15 by doing chores. Write and solve an equation to determine how many weeks it will take for Liam to have enough money to buy the video game.
2. 3(2x - 5) + 7 = 4(x + 3) - 2
3. Kaia is comparing two different savings accounts. Account A earns $9 in interest per month plus a one-time bonus of $35. Account B earns $7 in interest per month plus a one-time bonus of $55. After how many months will the total amount in both accounts be equal?

…and 5 more problems

1. Liam is saving money to buy a new video game that costs $65. He already has some money saved and earns $12 per week from his part-time job. After 4 weeks of saving, he has exactly enough to buy the game. Write and solve an equation to find how much money Liam had saved initially.
2. Aisha is designing a rectangular banner for the school science fair. The length of the banner is 3 feet less than three times its width. If the perimeter of the banner is 50 feet, what is the width of the banner in feet?
3. Isabella is comparing two different tutoring service plans. Plan A charges a flat registration fee of $42 and then $27 per hour of tutoring. Plan B charges a flat registration fee of $72 and then $22 per hour of tutoring. How many hours of tutoring would Isabella need to take for the total cost of both plans to be the same?

…and 4 more problems