Algebra 1 Last Test

A faucet can fill a tank in 6 hours, and a drain can empty the tank in 9 hours. If both are open, how long will it take to fill the tank?

• 18 hours

• 3.6 hours

• 5 hours

• 2 hours

A boat travels 24 km downstream in 2 hours and the same distance upstream in 3 hours. Let x be the speed of the boat in still water and y be the speed of the current. Which of the following systems of equations correctly represents this situation, and what are the values of x and y?

• x + y = 8, x - y = 12; x = 10, y = -2

• x + y = 12, x - y = 8; x = 10, y = 2

• x + y = 8, x - y = 12; x = 12, y = 8

• x + y = 12, x - y = 8; x = 12, y = 8

A plane flies 600 km with the wind in 2 hours and returns against the wind in 3 hours. Let x be the speed of the plane in still air and y be the speed of the wind. What are the values of x and y?

• x = 200 km/h, y = 100 km/h

• x = 250 km/h, y = 50 km/h

• x = 300 km/h, y = 100 km/h

• x = 150 km/h, y = 50 km/h

• 5 seconds

• 6 seconds

• 8 seconds

• 10 seconds

How long did it take for Jason to reach his maximum height?

• 2 seconds

• 0.5 seconds

• 1 second

• 0.2 seconds

What was the highest point that Jason reached?

• 484 feet

• 320 feet

• 600 feet

• 250 feet

• 8 seconds

• 4 seconds

• 12 seconds

• 16 seconds

After how many seconds will the rocket be 112 feet above the ground?

• There are two answers: 4 seconds and 8 seconds.

• There are two answers: 3 seconds and 5 seconds.

• There are two answers: 1 second and 7 seconds.

• There are two answers: 2 seconds and 6 seconds.

• 8 seconds

• 4 seconds

• 16 seconds

• 2 seconds

• 128 feet

• 256 feet

• 64 feet

• 512 feet