Math 012 Quiz 2 Professor: John Roou 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 (john.roou@faculty.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 of your work on every problem. 1) Solve the inequality below. Write the solution set using interval notation and graph the solution set on a number line. If you are typing the quiz, you can review instructions for creating a number line from your keyboard attached in the Week 3 LEO News. 8 y 4 15 y 10 Math 012 Quiz 2 Page 2 2) Solve the compound inequality below. Write the solution set using interval notation and graph the solution set on a number line. If you are typing the quiz, you can review instructions for creating a number line from your keyboard attached in the Week 3 LEO News. 21 6 x 3 15 3) 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. x 4 y 16 8 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 y x 1 2 3 4 5 6 7 8 Math 012 Quiz 2 Page 3 4) 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. x 2y 8 8 7 6 5 4 3 2 1 y x -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 1 2 3 4 5 6 7 8 5) Draw the line through the point (4, 5) that is parallel to the y-axis. Write the equation of this line and state its slope. 8 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 y x 1 2 3 4 5 6 7 8 Math 012 Quiz 2 Page 4 6) Draw the line through the point (-4, 3) that is parallel to the x-axis. Write the equation of this line and state its slope. 8 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 7) Given the linear equation y x 1 2 3 4 5 6 7 8 , find the slope and y-intercept of the line. Write the 7 x 5 y 15 slope in simplest form and the y-intercept as an ordered pair. Show all work below. Math 012 Quiz 2 Page 5 8) Given the points (-3, 5) 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, Ax + By = C, where A, B, and C are integers. e) Graph the equation. You may use the axes provided, or create your own graph. Math 012 Quiz 2 Page 6 8 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 y x 1 2 3 4 5 6 7 8 9) Write an equation in point-slope form of the line through the point (-5, 2) perpendicular to the line with equation 4x + 3y = 7. 10) The number of Starbucks stores in the US in 2005 was 8896. In 2014, there were 11,965 Starbucks stores in the US. Let y be the number of Starbucks stores in the US in the year x, where x = 0 represents the year 2005. a) Write a linear equation in slope-intercept form that models the growth in the number of Starbucks stores in the US in terms of x. [Hint: the line must pass through the points (0, 8896) and (9, 11965)]. b) Use this equation to predict the number of Starbucks stores in the US in the year 2020. Math 012 Quiz 2 Page 7 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