Algebra Projects

Solution: Section Number: - #80161

IP Unit 3

Name:

Section Number:

Instructions:

Identify the document by typing your full name and section number next to the yellow text.
Rename the file by adding your last name to current file name (e.g., "u3ip_lastname.doc").
Type your answers next to the yellow text.
To show your work, you will need to include

o the formula with substituted values.

o the final calculated answer with units.

· To utilize the scientific calculator on your computer, do the following:

o Open the calculator (if it is not in the accessories folder, then select Run from the Start menu)

o Select View from the drop down menu

o Select Scientific to utilize the calculator.

o Note that x^y computes any number to any power (integer, fraction, decimal).

Please submit your assignment.

1) Solve the following equations.

a) $\sqrt{x}-1=3$

b) $\sqrt{{{x}^{3}}}=8$ .

c) $\sqrt[3]{{{x}^{2}}}=4$ .

2) Is $\sqrt{{{x}^{2}}}=x$ an identity (true for all values of x)?

3) For the equation $x-\sqrt{x}=0$ , perform the following:

a) Solve for all values of x that satisfies the equation.

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.

c) How does the graph relate to part a?

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.