Algebra

Print modules
These files are in Portable Document Format (PDF) which require  the use of Adobe Acrobat Reader. A free copy of Acrobat Reader may be obtained from Adobe. Users who are unable to access information in PDF should contact LTSU, telephone +61 7 4631 2751 to obtain this information in an alternative format.

Module A5-Representing relationships (PDF*717kb)

This document includes:

  • Writing relationships in words
  • Writing relationships as formulas
  • Representing relationships as graphs and
  • Describing relationships

A more detailed list of topics is also available: Representing relationships - contents.

Module A7-Generalizing numbers - algebra (PDF*443kb) 

This document includes:

  • Simplifying expressions
  • Rearranging equations
  • Solving equations
  • Equations involving powers and roots including Pythagoras’ Theorem and
  • Simultaneous equations 31

A more detailed list of topics is also available: Generalizing numbers:  algebra - contents.

Module B3 -Algebra tools for change (PDF*822kb)

This document includes:

  • Describing relationships
  • Manipulating relationships (including grouping like terms, factors and factorization, algebraic fractions and working with powers)
  • Special relationships (including equations, solving equations, rearranging formulas, inequations, absolute value, quadratic equations, factorization of quadratic equations, the quadratic formula, quadratic equations in the real world, solving simultaneous equations using substitution and elimination

A more detailed list of topics is also available: Algebra tools for change - contents.   

Module C3-Relations and Functions (PDF*934kb)

This document includes:

  • What are functions
  • Function toolbox (including functional notation, zero conditions of a function, average rate of change of a function, continuity and the inverse of a function)
  • Families of functions (including polynomial functions (which include the constant function, the linear function, the quadratic function, and other polynomial functions), exponential and logarithmic functions, rational functions and functions over an integral domain (including arithmetic and geometric sequences)

A more detailed list of topics is also available: relations and functions - contents.

Module D2-Algebra, functions and geometry  (PDF*1.26mb)

This document includes:

  • Inequalities and the real number line (including operations on inequalities, and linear inequalities of two variables)
  • Quadratic Equations and Completing the Square
  • Functions (including polynomials, rational functions, other important non-linear functions, solving simultaneous equations algebraically and graphically inverse Functions and continuity)

 A more detailed list of topics is also available: algebra, functions and geometry - contents.

Animated activities (videos, Breeze presentations, online tutorials)
Files may be in Macromedia format which require the use of Macromedia Flash Player. A free copy of Macromedia Flash Player may be obtained from Adobe.

 

Web links

Purplemath - lessons on basic algebra topics and techniques, study tips, calculator advice, worksheets, and more

College Algebra from the Virtual Math Lab - tutorials, examples and video clips

SOS Mathematics (algebra) - short explanations and examples