Algebra
Math 037 Quiz 3 Summer 2017 Professor: Dr. Kri Watson Name________________________________ Instructions:
● The quiz is worth 100 points. There are 10 problems, each worth 10 points. Your score on the quiz will be converted to a percentage and posted in your assignment folder with comments.
● This quiz allows 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 should show all of your work to receive full credit. If you do not show work, you may earn only partial or no credit.
● 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 (kriesta.watson@faculty.umuc.edu) or [email protected] or LEO’s Instant Message.
Please remember to show ALL of your work on every problem. Read the basic rules for showing work below BEFORE you start working on the quiz. 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 037 Quiz 3 Page 2 of 11 Did you read the rules for showing work on page 1 of the quiz? If not, please go back to page 1 now and read them. If you do not show work correctly, you will not earn full credit. 1) Graph the linear equation by finding and plotting the intercepts. Show all work and write each intercept as an ordered pair. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. NOTE: You can use desmos.com to graph your response digitally. This is the only ONLINE calculator that will be allowed.
2x - 4y = 12 x-intercept = y-intercept =
Math 037 Quiz 3 Page 3 of 11
2) Given the line with equation: 3x + 4y = 24 NOTE: You can use desmos.com to graph your response digitally. This is the only ONLINE calculator that will be allowed. a) Convert the equation to slope-intercept form. b) State the slope of the line.
Math 037 Quiz 3 Page 4 of 11 c) State the y-intercept of the line as an ordered pair. d) Use slope-intercept form to graph the line. See following page for graphing grid. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. NOTE: You can use desmos.com to graph your response digitally. This is the only ONLINE calculator that will be allowed.
Math 037 Quiz 3 Page 5 of 11
3) Given the points (4, 6) and (8, 9). a) Find the slope of the line through the points (4, 6) and (8, 9).
b) Write the equation of the line through the points in point-slope form, .
c) Convert the equation that you wrote in part (b) to slope-intercept form, .
d) Convert the equation that you wrote in part (b) to standard form, , where A, B, and C are integers and A > 0.
Math 037 Quiz 3 Page 6 of 11 e) Graph the line through the two given points. See following page for graphing grid. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. NOTE: You can use desmos.com to graph your response digitally. This is the only ONLINE calculator that will be allowed.
Math 037 Quiz 3 Page 7 of 11
4) Given a line with equation . Write an equation in point-slope form of the line parallel to the given line through the point (2, -3).
5) Graph both lines from Question #4 on one coordinate system. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. NOTE: You can use desmos.com to graph your response digitally. This is the only ONLINE calculator that will be allowed.
Math 037 Quiz 3 Page 8 of 11 6 – 10) In 1964, the United States Surgeon General released a first report warning of the harms caused by smoking. As a health care professional, you are working on a smoking-cessation program, and you are studying the table in the table below:
Year x
Years since 1965
y Percentage of
American adults who smoke
1965 0 42.4
1970 5 37.4
1980 15 33.2
1985 20 30.1
1990 25 25.5
1995 30 24.7
1999 34 23.5
2001 36 22.8
2005 40 20.9
2007 42 19.8
2011 44 19
2014 49 16.8 Source: https://www.cdc.gov/tobacco/data_statistics/tables/trends/cig_smoking/index.htm
Math 037 Quiz 3 Page 9 of 11 6) Using the data for 1980 and 2001, write the two data points as ordered pairs, plot them on a clearly labeled and scaled coordinate grid, and draw the line through them. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. NOTE: You can use desmos.com to graph your response digitally. This is the only ONLINE calculator that will be allowed.
Math 037 Quiz 3 Page 10 of 11 7) Determine the slope of the line through the two points you graphed in #6. Write your answer in decimal form, rounded to the nearest hundredth of a percent (if necessary) 8) Explain in a sentence or two the meaning of the slope in the context of the problem.
9A) Write an equation in point-slope form of the line through the two points.
9B) Convert the equation to slope-intercept form.
Math 037 Quiz 3 Page 11 of 11
Question 10: You will be expected to work your KA track in order to receive part of your quiz grade using the following tracks:
● https://www.khanacademy.org/math/algebr a-basics/alg-basics-linear-equations-and-ine qualities https://www.khanacademy.org/math/pre-al gebra/pre-algebra-ratios-rates?t=practice
● https://www.khanacademy.org/math/algebr a-basics/alg-basics-systems-of-equations
● https://www.khanacademy.org/math/algebr a-basics/alg-basics-graphing-lines-and-slope
● You must complete at least 120 minutes
within KA to receive a 'A" or 100% for Question 10. Your grade will be based on the number of minutes completed in KA divide by 120 indicated on the KA Report. So, the percent will be constructed in this manner. NOTE: Failure to do so means that your quiz grade cannot be more than a 90% for the other part of the assignment. I strongly suggest you start your track today!
End of quiz: please do not forget to write and sign (or type) the required statement explained in the box on page 1 of the quiz.