1. Solve the following equations.
   1. \(\sqrt{x}-1=3\)
      
      Answer:
      
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   2. \(\sqrt{{{x}^{3}}}=8\).
      
      Answer:
      
      
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   3. \(\sqrt[3]{{{x}^{2}}}=4\)
      
      Answer:
      
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2. Is \(\sqrt{{{x}^{2}}}=x\)  an identity (true for all values of x )?
   Answer:
   
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   3)         For the equation \(x-\sqrt{x}=0\), perform the following:
   1. Solve for all values of x that satisfies the equation.

Answer:

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b)   Graph the functions \[y=x\]  and \[y=\sqrt{x}\]  on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.

Graph

c)   How does the graph relate to part a?
Answer:

4)   A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, \({{c}^{2}}={{a}^{2}}+{{b}^{2}}\) where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.

Answer:

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5)   Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point?  North and east can be considered the directions of the y- and x-axis respectively.

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6)         The volume of a cube is given by V = s ³ . Find the length of a side of a cube if the

Volume is 729 cm ³ .

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Solution: The downloadable solution consists of 5 pages, 305 words and 1 charts.
Deliverable: Word Document