Self Studies

Quadratic Equat...

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  • Question 1
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    Which of the following is a quadratic equation?

  • Question 2
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    $$h = -16t^{2} + vt + k$$
    The equation above gives the height $$h$$, in feet, of a ball $$t$$ seconds after it is thrown straight up with an initial speed of $$v$$ feet per second from a height of $$k$$ feet. Which of the following gives $$v$$ in terms of $$h, t$$ and $$k$$?

  • Question 3
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    $$\sqrt{2k^2+17}-x=0$$
    If $$k > 0$$ and $$x = 7$$ in the equation above, what is the value of $$k$$?

  • Question 4
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    If $$f(x) = x^{2} - 4x + 1, f(x)$$, the $$x$$-intercept of $$f(x)$$ is closest to which of the following?

  • Question 5
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    Find the value of $$x$$ which satisfies $$x^{2} - 8x + 13 = 0$$

  • Question 6
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    If A and B are whole numbers such that $$9A^{2} = 12A + 96$$ and $$B^{2} = 2B + 3$$, find the value of $$5A + 7B$$.

  • Question 7
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    What are the solutions to $$3x^{2} + 12x + 6 = 0$$?

  • Question 8
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    $$\displaystyle x^2-\frac{k}{2} x= 2p$$
    In the quadratic equation above, k and p are constants. What are the solutions for x?

  • Question 9
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    Which of the following is a possible solution for $$x$$ in terms of $$k$$ for the equation $$x = \dfrac {2k}{x + 2}$$?

  • Question 10
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    Which of the following is a possible value of $$x$$, if $$5x^{2}-  10x + 4 = 0$$?

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