Quiz-Tree

Medium - Quiz 1

Practice solving quadratic, radical, and rational equations that show up in everyday scenarios like projectile motion, pricing, and geometry.

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Question 1
What are the solutions to the equation \(x^2 - 5x - 14 = 0\)?
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A store owner models daily profit with the equation \(p^2 - 12p + 32 = 0\), where \(p\) is the price in dollars of a particular item. What are the values of \(p\) that result in zero profit?
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If \(\sqrt{3x + 7} = 5\), what is the value of \(x\)?
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A ball is launched upward from a platform. Its height in feet after \(t\) seconds is modeled by \(h = -16t^2 + 48t + 64\). At what time does the ball hit the ground?
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What is the positive solution to the equation \(\dfrac{2}{x} + \dfrac{3}{x + 1} = 2\)?
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