Systems by Graphing Worksheets Grade 8

1. Emma is graphing two linear equations on the same coordinate plane. The first equation is y = -2x + 10, and the second equation is y = (1/2)x - 5. What is the intersection point of these two lines?
2. A scientist is studying two bacterial cultures. Culture A starts with 800 bacteria and grows at a rate of 50 bacteria per hour. Culture B starts with 200 bacteria and grows at a rate of 100 bacteria per hour. After how many hours will both cultures have the same number of bacteria?
3. y = 4x - 7 and y = -2x + 11

…and 4 more problems

1. 2x + y = 10 and y = 3x - 5
2. y = 3x - 5 and y = -2x + 8
3. y = 4x - 9 and y = -2x + 3

…and 5 more problems

1. y = 3x - 4 and y = -2x + 6
2. y = 3x - 7 and y = -2x + 8
3. Liam is comparing two options for renting a bike for the weekend. Bike Shop A charges a flat fee of $25 plus $10 per hour. Bike Shop B charges a flat fee of $15 plus $15 per hour. Liam wants to graph both cost equations to find out after how many hours the total cost from both shops will be the same. Let x represent the number of hours and y represent the total cost in dollars. What is the point of intersection (x, y) where the two lines cross?

…and 4 more problems