Complete the following questions to practice the skills you have learned in this lesson.
- Mai and Jada are solving the equation using the quadratic formula.
Answer the following questions about the values of , , and if this equation is written in standard form, .
- Enter the value of ?
- Enter the value of ?
- Enter the value of ?
- Mai and Jada are solving the equation using the quadratic formula but found different solutions.
Mai's Method | Jada's Method |
---|---|
|
|
Who has the correct solution?
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Neither one
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Both of them
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Jada
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Mai
- The equation represents the height, in feet, of a potato seconds after it was launched from a mechanical device.
- Choose the equation that would allow us to find the time the potato hits the ground.
- Solve the equation without graphing and write it down. Enter your solution for the approximate time the potato hits the ground rounded to one decimal place.
- Priya found and as solutions to .
- If you check Priya's answer by substitution, is the answer correct?
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No
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Yes
- If you check Priya's answer by graphing, is the answer correct?
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No
-
Yes
- If you check Priya's answer by using the quadratic formula, is the answer correct?
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No
-
Yes
- A frog jumps in the air. The height, in inches, of the frog is modeled by the function , where is the time after it jumped, measured in seconds.
- Select two solutions to the equation .
- What do the solutions tell us about the jumping frog? Select two that apply.
- The frog landed 1 seconds after it jumped and was on the ground again.
- The frog landed seconds after it jumped and was on the ground again.
- The height of the frog was 5 inches before it jumped.
- The negative solution shows how far down the frog was before it jumped.
- The height of the frog was 0 inches before it jumped.
- A tennis ball is hit straight up in the air, and its height, in feet above the ground, is modeled by the equation , where is measured in seconds since the ball was thrown.
- Select two solutions to the equation .
- What do the solutions tell us about the tennis ball? Select two that apply.
- The ball hits the ground second after it is hit.
- The negative solution does not have meaning because a negative value for time does not make sense.
- The ball hits the ground 1 second after it is hit.
- The negative solution is a result of the bounce of the ball.
- The ball hits the ground second after it is hit.