## Resources for Math 9: Linear Mathematics

Note: Different sections of Math 9 may cover different topics selected from the following list, and not necessarily in the order given. Choose your topic and then select the resource you want.

Topic 1: Linear and Quadratic Functions & Graphs
Coordinates, Graphs and Functions, Intervals and Domains, Linear Functions and Applications, Quadratic Functions and Applications, Best Fit Lines (Regression)

 Topic Summary: Click Here True-False Quiz: Click Here Review Exercises: Click Here On-Line Tools & Mac Software: On-Line Graphing & Evaluation of Functions(Creates a table of values and graph for any function you specify) On-Line Graphing Utility(an advanced Java graphing utility with trace, zoom and many other features) On-Line Regression(equations of exact and best-fit lines, parabolas and cubics) Download Graphing Software for your Mac

Topic 2: Systems of Linear Equations and Matrices
Systems of Two Linear Equations in Two Unknowns, Using Matrices to Solve Systems with Two or More Unknowns, Applications of Systems of Linear Equations

On-Line Graphing & Evaluation of Functions
(Creates a table of values and graph for any function you specify)
On-Line Regression
(equations of exact and best-fit lines, parabolas and cubics)
On-Line Matrix Pivot Program
(Can be used for Gauss Jordan row reduction; works in fraction, integer, and decimal mode)
TI-82 & 83 Pivoting Program
(for your graphing calculator)
 Topic Summary: Click Here On-Line Tutorials: Using Matrices for Systems with Two Unknowns Using Matrices for Systems with Three or More Unknowns Extra Help: How To Pivot or "Clear a Column" True-False Quiz: Click Here Review Exercises: Click Here On-Line Tools & Mac Software:

Topic 3: Linear Programming
Graphing Linear Inequalities, Solving Linear Programming Problems Graphically, Solving Standard Linear Programming Problems using the Simplex Method, Solving Nonstandard Linear Programming Problems

 Topic Summary: Click Here On-Line Tutorials: Simplex Method for Standard LP Problems Simplex Method for Non-Standard LP Problems Extra Help: How To Pivot or "Clear a Column" Steps in the Simplex Method for Standard LP Problems True-False Quiz: Click Here Review Exercises: Click Here On-Line Tools & Mac Software: On-Line Matrix Pivot Program(Can be used for the simplex method;works in fraction, integer, and decimal mode) Linear Programming Grapher(Shows feasible region and corner points for two-variable problems) Simplex Method Tool(Solves all linear programming problems using the simplex method) TI-82 & 83 Pivoting Program(for your graphing calculator) Download Simplex Method Software

Topic 4: Matrix Algebra
Matrix Addition and Scalar Multiplication, Matrix Multiplication, Matrix Inversion, Input-Output Models

 Topic Summary: Click Here True-False Quiz: Click Here On-Line Tools & Mac Software: Matrix Algebra Tool(Calculates products, powers, and inverses of matrices) On-Line Matrix Pivot Program(Can be used for the simplex method;works in fraction, integer, and decimal mode) TI-82 & 83 Pivoting Program(for your graphing calculator) Download Matrix Algebra and Gauss Jordan Software

Topic 5: Markov Systems
Markov Systems, Distribution Vectors and Powers of the Transition Matrix, Long Range Behavior of Regular Markov Systems, Absorbing Markov Systems

 Topic Summary: Click Here True-False Quiz: Click Here Review Exercises: Click Here On-Line Tools & Mac Software: Matrix Algebra Tool(Calculates products, powers, and inverses of matrices) On-Line Markov Utility (computes powers of the transition matrix and the n-step distribution vector) Graphic Simulator (an animation showing a Markov system going from state to state) On-Line Matrix Pivot Program(Can be used for the simplex method;works in fraction, integer, and decimal mode) Download Matrix Algebra and Gauss Jordan Software

Topic 6: Math of Finance
Simple Interest, Compound Interest, Annuities and Loans