Unit 7 Test

• 2 Real Solutions

• 2 Imaginary Solutions

• 1 Real Solution

• 1 Imaginary Slution

Solve the following.

• No Solution

The height of a ball falling from the top of a building can be modeled by a quadratic function. The ball fell from an initial height of 80 feet, reached a height of 64 feet after 1 second, and reached a height of 16 feet after 2 seconds.

A drone was used to film the falling object. The drone’s controlled descent can be modeled by a linear function. The drone was at a height of 96 feet when it began its descent and a height of 56 feet after 1 second.

Which system of equations could be solved to determine when the ball and the drone will be at the same height above the ground?

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The height of a ball falling from the top of a building can be modeled by a quadratic function. The ball fell from an initial height of 80 feet, reached a height of 64 feet after 1 second, and reached a height of 16 feet after 2 seconds.

A drone was used to film the falling object. The drone’s controlled descent can be modeled by a linear function. The drone was at a height of 96 feet when it began its descent and a height of 56 feet after 1 second.

Using the system of equations from the previous question, solve the system of equations to determine which statement is true.

• The drone and the ball will reach the same height at 1 second.

• The drone and the ball will reach the same height at 0.5 seconds and again at 1.5 seconds.

• The drone and ball will reach the same height at 0.5 seconds and again at 2 seconds.

• There is not a time when the drone and the ball are the same height above the ground.

Which of the following responses could never be the solution to a system of equations consisting of one linear equation and one quadratic equation?

• No Solution