Quadratic Word Problems
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general form of a quadratic equation?
Back
The general form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does the variable 'h' represent in the context of height equations?
Back
In the context of height equations, 'h' represents the height of an object above a reference point, typically the ground.
3.
FLASHCARD QUESTION
Front
What is the significance of the coefficient of t² in a quadratic height equation?
Back
The coefficient of t² determines the direction of the parabola; if it is negative, the parabola opens downward, indicating that the object reaches a maximum height.
4.
FLASHCARD QUESTION
Front
How do you find the maximum height of a projectile modeled by a quadratic equation?
Back
The maximum height can be found using the formula t = -b/(2a), where a and b are the coefficients from the quadratic equation h = at² + bt + c.
5.
FLASHCARD QUESTION
Front
What does the vertex of a parabola represent in a height equation?
Back
The vertex of a parabola represents the maximum or minimum height of the object, depending on the direction the parabola opens.
6.
FLASHCARD QUESTION
Front
In the equation h = -16t² + vt + s, what do v and s represent?
Back
In the equation, v represents the initial upward velocity, and s represents the initial height from which the object is launched.
7.
FLASHCARD QUESTION
Front
How can you determine when an object reaches the ground using a height equation?
Back
To determine when an object reaches the ground, set the height equation h = 0 and solve for t.
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