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Herbert J. Bernstein Professor of Mathematics and Computer Science
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90092 MTH 1002 A -- Fundamentals of Mathematics -- Fall 2012
Online Course
Quiz 9

This web page is http://www.bernstein-plus-sons.com/.dowling/MTH1002F12/MTH1002_Quiz_9.html
Copyright © 2010, 2012 Herbert J. Bernstein and other parties. All rights reserved.

This is the one of two weekly quizzes for 27 November 2012 for the MTH 1002 course. Please do this quiz after you have completed the rest of assignment 9. If you do not want delayed grading past the end of the semester, you will also have to do the prior as well at the same time.. It should take between one half hour and 2 1/2 hours to complete if you are well prepared, longer if not.

In answer to questions on this page, when you need to show an exponent as in xa show the raised part using ^ and (), as in x^(a). For division, use / and (), as in (x^3-1)/(x-1).

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  1. Using just words, no drawings, explain how to solve a system of 2 linear equations on 2 variables by graphing.

  2. Solve algebraically.
    x + y = 3
    x - y = 3

  3. Solve algebraically.
    3*x + y = 9
    x - 3*y = 18

  4. Solve the following systems of simultaneous linear equations in pairs algrebraically, with exact answers given as proper fractions or as decimal fractions to at least 4 decimal places. Be sure to solve all the indicated pairs.

    R1: x = 3
    R2: y = 3
    R3: 5*x + 7*y = 35
    R4: 7*x + 5*y = 35
    R5: x + y = 6

    List all solutions as (x,y) coordinate pairs solving R1 and R2, R1 and R3, R1 and R4, R1 and R5, R2 and R3, R2 and R4, R2 and R5, R3 and R4, R3 and R5, R4 and R5:

  5. Solve the following systems of simultaneous linear equations in pairs algrebraically, with exact answers given as proper fractions or as decimal fractions to at least 4 decimal places. Be sure to solve all the indicated pairs.

    R1: -10*x + y = 0
    R2: -x + 10*y = 0
    R3: x + y = 1
    R4: x + 5*y = 6
    R5: 5*x + y = 6

      List all solutions as (x,y) coordinate pairs solving R1 and R2, R1 and R3, R1 and R4, R1 and R5, R2 and R3, R2 and R4, R2 and R5, R3 and R4, R3 and R5, R4 and R5

  6. Log into Khan Academy and do http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_with_substitution Report here your status in that practice set.

  7. Log into Khan Academy and do http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations Report here your status in that practice set.

  8. Log into Khan Academy and do http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/systems_of_equations_word_problems Report here your status in that practice set.

  <==== Do this AFTER you've answered all the questions

You probably DON'T want to do this ===>  

Updated 24 November 2012.