Systems of Linear Equations in Two Variables- 8th Grade

The first 4 questions are shown here.

1. Two spaceships are charting their flight paths across a coordinate grid. Their navigation systems show that their flight paths form a system of linear equations with exactly one intersection point (one solution). To prevent a collision, the pilot needs to know: What must be true about the slopes…

   Typed answer

2. A programmer is setting up a drone light show over a football stadium grid. One drone is programmed to fly strictly along the vertical path x = 4, and a second drone is programmed to fly strictly along the horizontal path y = 6. Can you identify the exact coordinates where the paths of the two…

   Typed answer

3. You are testing a new dual-track roller coaster in a theme park simulation game. The build preview window shows two tracks that do not touch within your current camera view. Your co-designer says, "Perfect, since they don't cross in this window, the two coaster cars will never collide." Do you…

   Typed answer

4. A rogue hacker is escaping on a stolen hover-bike traveling at a steady speed of 150 meters per minute. The hacker already has a 750-meter head start when a security drone launches to chase them down. The security drone speeds along at 300 meters per minute. Let d represent the distance from the…

   Typed answer