Math 012 Quiz 2 Fall 2015 Professor Rochelle Harley Due Tuesday, November 10, 2015 by 11:59 pm Name________________________________________________________ Instructions: The quiz is worth 70 points. There are 14 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 (rochelle.harley@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. 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. 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. Math 012_Harley Quiz 2 1. Page 2 Which of the following is a solution of 5 x 3 y 11 ? State yes or no next to each letter. Work must be shown for full credit. A ( -1, 2 ) _____ B ( 2, -1 ) _____ C ( 2, 1 ) _____ D ( 1, 2 ) _____ E 1 3 , ______ 5 5 Math 012_Harley Quiz 2 2. Page 3 Graph and label each equation on a separate x-y plane. Label three points as ordered pairs. x 3y 9 Math 012_Harley Quiz 2 3. Page 4 Graph the line through point P having slope m. Find the coordinates of two additional points on the line. P (3, -1); m 3 2 Math 012_Harley Quiz 2 Page 5 4. Graph the line through point P having slope m. Find the coordinates of two additional points on the line. P (-2, -2 ), m 0 Math 012_Harley Quiz 2 Page 6 5. Find the slope of the line containing the given points. If the line has no slope, write vertical. If the line has a zero slope, write horizontal. a) ( 2, 3 ) , ( 5 , -2 ) m=_____________ b) ( -2, -4 ) , ( -2 , 4 ) m=_____________ 6. Find the slope and y-intercept of the line having the given equation. x y 2 0 ; m= _____________; b= ______________ a) b) 1 x 3 1 y 2 1 ; m= _____________; b= _____________ Math 012_Harley Quiz 2 Page 7 Find an equation for each line described. Write each equation in the slope intercept form y mx b 7. 8. Find an equation of a line containing the points Find an equation of a line having slope m 1 3 , 4 2 and 3 ,1 4 3 and y-intercept 2 1 2 Math 012_Harley Quiz 2 Page 8 Find an equation in standard form for each line. Write each equation in the form Ax + By = C 9. 10. Find the line through P ( 3, -2 ) and parallel to 4x y Find the line through P (4, 1) and perpendicular to 3x 5 y 5 Math 012_Harley Quiz 2 11. Page 9 Solve the following inequality. A final inequality statement and corresponding line graph using interval notation is required to receive full credit: 5 2x 3 9 12. Solve the following inequality. A final inequality statement and corresponding line graph using 6x 8 2(3x 4) interval notation is required to receive full credit: Math 012_Harley Quiz 2 Page 10 13. Solve the following inequality. A final inequality statement and corresponding line graph using interval notation is required to receive full credit: 4 3z 1 7 and 2(z 1) 14. Solve the following inequality. A final inequality statement and corresponding line graph using interval notation is required to receive full credit: 5x 2 8 or 4 x 5 End of quiz: please remember to sign and date the honor statement in the box on the first page of the quiz