07 Jan 14) Given the linear equation:

Midterm

Math 012 Midterm Exam

Professor: Dr. John Uccellini

Name________________________________

Instructions:

The exam is worth 75 points. There are 15 questions, each worth 5 points. Your score on the exam will be converted to a percentage and posted in your assignment folder with comments.

This exam is open book and open notes, and you may take as long as you like on it provided that you submit the exam no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone.

You must show all of your work to receive full credit. If a problem does not seem to require work, write a sentence or two to justify your answer.

Please type your work in your copy of the exam, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in the document. Review instructions for submitting your exam in the Exams Module.

If you have any questions, please contact me by e-mail ([email protected]).

Please remember to show all work on every problem.

Solve the equation using the methods discussed in Chapter 2 of our text. If the equation has a unique solution, please show the complete check of your answer. (5 pts)

Solve the equation using the methods discussed in Chapter 2 of our text. If the equation has a unique solution, please show the complete check of your answer. (5 pts)

3x/2-2x/3=(5x-4)/6

3) The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 330 vibrations per second and a wavelength of 3.2 feet. Find the wavelength of another tone that has a pitch of 550 vibrations per second.

4) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer in interval notation and graph the solution set on a number line. (5 pts)

5) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer in interval notation and graph the solution set on a number line. (5 pts)

6) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer in interval notation and graph the solution set on a number line. (5 pts)

7) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer in interval notation and graph the solution set on a number line. (5 pts)

8) The average life expectancy for an elephant is 24 years longer than the life expectancy for a chimpanzee. If the total of these life expectancies is 130 years, find the life expectancy of each animal. Show all work. (5 pts)

9) Alpha phone company charges a monthly access fee of $58 plus an additional $0.03 per minute fee on the total minutes used each month. What is the maximum number of minutes of usage a customer can have to keep their monthly bill under $100? Show all work. (5 pts)

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10) In 2008 there were approximately 314,000 hybrid vehicles sold in the United States. In 2012, there were approximately 434,000 hybrid cars sold. Let y be the number of hybrid cars sold in the year x, where x = 0 represents the year 2008.

a) Write a linear equation that models the growth in number of hybrid vehicles sold in the US in terms of the year x. (3 pts)

b) Use this equation to predict the number of hybrid vehicles sold in the US in the year 2020.

(1 pt)

c) Explain what the slope of this line means in the context of the problem. (1 pt)

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11) Given the linear equation: :

Find both intercepts of the equation. Show all work and state intercepts as ordered pairs.

(4 pts)

x-intercept =

y-intercept =

b) Use the intercepts to find the slope of the line. Show all work. (1 pt)

12) Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show the work that leads to your conclusion. (5 pts)

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13) Write an equation of a line through the point (3, -4) that is parallel to the x-axis. Graph the line on the grid below or create your own graph. State the slope of the line. (5 pts)

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14) Given the linear equation: , answer the following questions, showing all work:

a) Find the slope of a line perpendicular to the given line. (2 pts)

b) Write an equation in slope-intercept form of the line perpendicular to the given line through the point (-3, 4). (2 pts)

d) Convert the equation found in part (b) to standard form. (1 pt)

15) The formula for the area of a Trapezoid is given by A=1/2 h(a+b) where A is the total area, h is the height of the trapezoid and a and b are the lengths of the bases. Solve the equation for the base b. (5 pts)

End of exam: please do not forget to write and sign (or type) the required statement explained on Page 1 of theexam.