Math 012 - Fall 2016 Quiz 2 Name________________________________ Instructions: The quiz is worth 100 points. Each problem is worth 10 points. 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. If you have any questions, please contact me by e-mail (eric.nardo@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. If there is no work to show, then include a sentence or two explaining your answer. Here are the basic rules of showing work: a) Each step should show the complete expression or equation rather than a piece of it. b) Each new step should follow logically from the previous step, following rules of algebra. c) Each new step should be beneath the previous step. d) The equal sign, =, should only connect equal numbers or expressions. If you have questions about showing work, please ask. Math 012 - Fall 2016 Quiz 2 Page 2 1) Sketch the graph of the following line. Label the y-intercept and slope. Show your work 5 x+ 3 and/or explain what you did to graph the line. y= 2 2) Calculate the slope of the line through the following points: a) (5,3 ) , (3, 2 ) b) ( 1,1 ) , (2, 5 ) 3) Given the following linear equation, find the slope and y-intercept of the line. Write the slope in simplest form and the y-intercept as an ordered pair. Show all work below. 10 x+ 4 y=4 Math 012 - Fall 2016 Quiz 2 Page 3 4) Write the slope-intercept form of the equation of the line through the point ( 2,3 ) and 1 having a slope of 2 5) Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion clearly. 3 x2 y=2 5 x+3 y =4 Note: Questions #6 through #10 each have 3 parts: a) Solve the inequality b) Graph the solution on a number line c) Write the solution in interval notation 6) Solve the following inequality. Graph the solution on a number line and write the solution in interval notation. x5 2 ( 3 x1 ) Math 012 - Fall 2016 Quiz 2 Page 4 Math 012 - Fall 2016 Quiz 2 Page 5 7) Solve the following inequality. Graph the solution on a number line and write the solution in interval notation. 43 x<5 x +3 8) solve the following compound inequality. graph solution on a number line and write in interval notation. 8<4 16 9) 5 1x>4 Math 012 - Fall 2016 Quiz 2 Page 6 10) Solve the following compound inequality. Graph the solution on a number line and write the solution in interval notation. 2 4 < x3 x +9 15 5 Math 012 - Fall 2016 Quiz 2 Page 7 End of quiz: please remember to sign and date the honor statement in the box on the first page of the quiz