Linear Equations Worksheets Grade 8

1. Mason is comparing two different job offers for the summer. At the first job, he will earn $27 per hour and receive a $42 signing bonus. At the second job, he will earn $22 per hour and receive a $72 signing bonus. For how many hours of work will the total earnings from both jobs be equal?
2. Liam is designing a rectangular garden. The length of the garden is 3 meters more than twice its width. If the perimeter of the garden is 36 meters, what is the width of the garden in meters?
3. 3(2x - 5) + 7 = 4(x + 3) - 2 = ?

…and 5 more problems

1. 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?
2. A right triangle is drawn on a coordinate plane with vertices at (0,0), (6,0), and (0,8). A line is drawn from the vertex at (0,8) to a point on the hypotenuse that divides the triangle into two regions of equal area. What is the equation of this line in slope-intercept form?
3. A rectangular garden is drawn on a coordinate plane with vertices at (2, 1), (8, 1), (8, 5), and (2, 5). If you need to place a fence along the entire perimeter of this garden, how many units of fencing are required?

…and 5 more problems

1. 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 is the width of Liam's garden?
2. Kaia is planning a rectangular garden in her backyard. The length of the garden is 7 feet more than three times its width. If the perimeter of the garden is 78 feet, what is the width of the garden in feet?
3. Maya is planning a road trip and needs to calculate her total driving time. She will drive 240 miles at an average speed of 60 miles per hour, then stop for a 45-minute lunch break. After lunch, she will drive another 150 miles at 50 miles per hour. If she starts her trip at 8:00 AM, at what time will she reach her destination?

…and 5 more problems