# Algebraic Equations - solving for x

1) Solve the following equations algebraically. You must show all your work.

2) Solve algebraically and check your potential solutions: sqrt(x +2) - x = 0

3) The volume of a cube is given by V = s^3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 cm3. Round the answer to three decimal places.

4) a) Show the steps that you would take to solve the following

b) What potential solution did you obtain? Explain why this is not a solution.

5) For the following function, C computes the cost in millions of dollars of implementing a city recycling project when x percent of the citizens

a) Using this model, approximately what is the cost if 60% of the citizens participate?

b) Using this model, estimate the percentage of participation that can be excepted if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.

6) a) If y = x^0.5 +2 , fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary.

b) Explain why no negative values are chosen as values to substitute in for x.

c) Graph in MS Excel and paste your graph here.

7) Suppose that N= x^0.5 + 2 models the number of cases of an infection, in millions, of a disease x years from now.

a) Approximately how many cases of the infection will there be 16 years from now?

b) In approximately how many years will there be 7 million cases?

#### Solution Preview

Please see the attached file for graphs and detailed solution.

4) b) the potential solution is x = 6.

When ...

#### Solution Summary

The solution is comprised of detailed step-by-step explanations of solving various basic algegra problems in MTH 133 (math 133), unit 3 of individual project A.