Math 012

Quiz 2 Page 8

Spring 2016

Professor: Dr. Mary Dereshiwsky

Name________________________________

**Instructions**:

· The quiz is worth 50 points. There are 10 problems, each worth 5 points. Your score on the quiz will be converted to a percentage and posted in your assignment folder with comments.

· This quiz is **open book** and **open notes**, and you may take as long as you like on it provided that you submit the quiz 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 quiz, 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 quiz in the Quizzes Module.

· If you have any questions, please contact me by e-mail (mary.dereshiwsky@umuc.edu).

**At the end of your quiz you must include the following dated statement with your name typed in lieu of a signature. Without this signed statement you will receive a zero.**

I have completed this quiz myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz.

Name: Date:

*Please remember to show all work on every problem.*

1) Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid provided or create your own graph. Show all work.

2) Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid provided or create your own graph. Show all work.

3) Find at least five ordered pairs that satisfy the following equation and graph the function through them. You may use the grid provided or create your own graph. Show all work.

4) Write an equation of a line through the point (2, 4) that is perpendicular to the x-axis. Graph the line on the grid below or create your own graph. State the slope of this line.

5) Given the linear equation , find the slope and y-intercept of the line. Show all work below.

6) State the domain and the range of the relation graphed below. Determine whether or not the relation is a function and explain your reasoning.

7) Given find each of the following, showing all work:

a)

b)

c)

d)

e)

8) Given the points (4, -2) and (-6, 2):

a) Find the slope of the line through the points.

b) Write an equation in point-slope form of the line through the points.

c) Convert the equation to slope-intercept form.

d) Convert the equation to standard form.

e) Graph the equation. You may use the axes provided, or create your own graph.

9)

a) Write an equation of a vertical line through the point (-3, 5).

b) Write an equation of a horizontal line through the point (-7, -2).

c) Find the slope of a line parallel to the line with equation 3*x* – 7*y* = 21.

d) Find the slope of a line perpendicular to the line with equation 2*x* + 3*y* = 5.

e) Write an equation in point-slope for of the line through the point (-3, 2) perpendicular to the line with equation 2*x* + 3*y* = 5.

10) The number of Burger King restaurants worldwide in 2012 was 35,752. In 2007, there were 34,561 Burger King restaurants worldwide. Let y be the number of Burger King restaurants in the year x, where x = 0 represents the year 2007.

a) Write a linear equation that models the growth in the number of Burger King restaurants worldwide in terms of x. [Hint: the line must pass through the points (0, 34561) and (5, 35752)].

b) Use this equation to predict the number of Burger King restaurants worldwide in the year 2014.

c) Explain what the slope for this line means in the context of the problem.

*End of quiz: please remember to sign and date the statement in the box on the first page of the quiz.*

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