Math 191 - Chapter 1

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Section 1.1 – Linear Equations
- Read pp. 64 – 69
- (One method to solve expression₁ = expression₂ is to graph y = expression₁ and y = expression₂ and find the
  intersection(s). The first two sites listed below are on-line graphing utilities.)
- online resources:
  1. GCalc Free Online Graphing Calculator - http://www.nsci.plu.edu/~jkim/GCalc/
    This site provides a java applet in which more than one equation can be graphed.
  2. Plotting Functions on the same Graph - http://mss.math.vanderbilt.edu/~pscrooke/MSS/plotseveral.html
    This site provides a java applet in which more than one equation can be graphed.
  3. Interactive Algebra - http://www.accessone.com/~bbunge/Algebra/Algebra.html
    Lessons 1 & 2 of Unit One on this site provides links to practice problems with hints for solving linear equations.
  4. Interactive Algebra - http://www.accessone.com/~bbunge/Algebra/Algebra1-5.html
    This site provides practice problems with hints for solving |x| = c.
Section 1.2 – Applications
- Read pp. 71 – 80
- online resources:
  1. Word Problems That Involve Mixing - http://mathcsjava.emporia.edu/~greenlar/MoneyProblems/MoneyProblems.html
    This site provides a java applet for practice in solving word problems that involve money and mixing.
  2. Word Problems That Involve Distance, Rate, and Time - http://mathcsjava.emporia.edu/~greenlar/DistanceRateTime/DistanceRateTime.html
    This site provides a java applet for practice in solving word problems that involve distance, rate, and time.
Section 1.3 – Quadratic Equations
- Read pp. 83 – 95
- online resources:
  1. Complex Numbers I - http://www.uncwil.edu/courses/mat111hb/Izs/complex/complex.html
    This site provides an introduction to complex numbers, operations on complex numbers, and the graphical representation of complex numbers.
  2. Complex Numbers II - http://www.clarku.edu/~djoyce/complex/
    This site is an introduction to complex numbers. It includes the mathematics and a little bit of history as well. It is intended for a general audience. The necessary background in a familiarity with ordinary real numbers (all positive and negative numbers and zero) and algebra.
  3. Solving Quadratic Equations - http://www.vcsun.org/~mtippens/quadratic1.html
    This site provides a description and several examples on solving quadratic equations using: 1. Factoring and the Zero Product Property; 2. Square Root Theorem; 3. The Quadratic Formula.
  4. Completing the Square I - http://school.discovery.com/homeworkhelp/webmath/polycs.html
    This site provides a solver to complete the square of polynomials. The solver shows all steps in completing the square.
  5. Completing the Square II - http://www.csm.astate.edu/algebra/csq.html
    This site provides practice problems for completing the square of polynomials. The applet shows all steps in completing the square.
  6. Quadratic Equation Solver - http://216.247.77.187/algebra/quad_explorer/quadratic.html
    This site provides a quadratic equation solver. The solver provides other information about the quadratic equation.
  7. Interactive Algebra - http://www.accessone.com/~bbunge/Algebra/Algebra.html
    Unit Two on this site provides links to practice problems with hints for solving quadratic equations.
Section 1.4 – Other Types of Equations
- Read pp. 99 – 104
- (One method to solve expression₁ = expression₂ is to graph y = expression₁ and y = expression₂ and find the
  intersection(s). The first two sites listed below are on-line graphing utilities.)
- online resources:
  1. GCalc Free Online Graphing Calculator - http://www.nsci.plu.edu/~jkim/GCalc/
    This site provides a java applet in which more than one equation can be graphed.
  2. Plotting Functions on the same Graph - http://mss.math.vanderbilt.edu/~pscrooke/MSS/plotseveral.html
    This site provides a java applet in which more than one equation can be graphed.
  3. Solving Radical Equations - http://www.purplemath.com/modules/solvrad.htm
    This site provides a description of how to find the solution to radical equations using algebraic manipulation and by graphing.
Section 1.5 – Inequalities
- Read pp. 108 – 116
- online resources:
  1. Absolute Value Inequalities I - http://mathcsjava.emporia.edu/~greenlar/AbsoluteValues/AbsoluteValues.html
    This site provides a java applet the dynamically shows the solution for absoute value inequalities of the forms |x - c| > b
    and |x - c| < b.
  2. Quadratic inequalities - http://www.exploremath.com/activities/Activity_page.cfm?ActivityID=35
    This site provides a flash applet to allow the user to manipulate and visualize the solution sets of quadratic inequalities in polynomial form.
  3. Basic Rules for Solving Inequalities - http://www.sosmath.com/algebra/inequalities/ineq01/ineq01.html
    This site provides a description on how to so solve inequalities.
  4. The Real Number Line, Interval Notation and Set Notation - http://www.sosmath.com/algebra/inequalities/ineq02/ineq02.html
    This site provides a description about three different ways in which to write down sets of solutions for inequalities.
  5. Absolute Value Inequalities II - http://www.sosmath.com/algebra/inequalities/ineq03/ineq03.html
    This site provides a description on how to so solve absolute value inequalities.
  6. Solving Polynomial Inequalities by Graphing - http://www.sosmath.com/algebra/inequalities/ineq04/ineq04.html
    Unit Two on this site provides a description on how to so solve polynomial inequalities using graphing techniques.
  7. Solving Polynomial Inequalities Analytically - http://www.sosmath.com/algebra/inequalities/ineq05/ineq05.html
    This site provides a description on how to so solve polynomial absolute value inequalities.
  8. Solving Rational Inequalities Analytically - http://www.sosmath.com/algebra/inequalities/ineq06/ineq06.html
    Unit Two on this site provides a description on how to so solve rational inequalities.
Section 1.6 – Variation and Applications
- Read pp. 120 – 124
- online resources:
  1. Wisc-Online – Variation - http://www.wisc-online.com/lrnobj/TechMath/TMTH901/index.html
    (Flash plug-in is required). This site is the Wisconsin Online Resource Center. This site provides a flash applet outline the various types of variation problems.
  2. Variation Lessons - http://www.purplemath.com/modules/variatn.htm
    This site provides a description and examples of solved direct and inverse variation problems.

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