Mathematics
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Tutorials | Assessment | Resources
Tutorials
- Animated functions demonstration (absolute value)
Three pages from an animated slide show presentation on functions. - Difference of two squares expansion (concrete)
Part of a series on understanding factoring through a concrete geometric approach. - Inequalities
A synopsis of the topic that includes the basic rules and links to graded exercises, with answers provided. - Perfect square expansion (concrete)
Part of a series on understanding factoring through a concrete geometric approach. - Square of binomial difference (concrete)
Part of a series on understanding factoring through a concrete geometric approach. - Squares and link to square roots (beware reference to
Annotated examples, exercises and answers to perform squaring on a calculator and links to square root operations.
Assessment
- A set of HSC past papers & advice on the examination
Hints and answers from past exam papers (formerly '2 Unit'), and past articles from Sydney Morning Herald advice to students. - Absolute value
A series of questions on solving equations and evaluating expressions, with answers provided. - Basic algebra practice
A series of mixed questions on symbol manipulation, with answers provided. - Challenging absloute value questions
A series of questions on solving quadratic equations and evaluating expressions, with provided. - Challenging inequalities
A series of questions on solving polynomial inequations and inequations with a variable in the denominator, with links to answers. - Fraction/decimal conversions
Three questions on rational number representation, with answers provided. - Harder absolute value questions
A series of questions on solving linear and quadratic equations with links to answers and tutorial. - Harder algebra practice
A series of mixed questions on symbol manipulation of algebraic fractions, with answers provided. - Inequalites on the number line (see solutions)
An investigation into the domain of a function that is above or below the x-axis, with links to answers. - Inequalities including absolute value
A series of questions on solving algebraic fraction (including a variable in the denominator) inequations, with answers provided. - Solving inequalities
A series of questions on solving linear and quadratic inequations, with answers provided. - Surds test
A series of mixed questions on simplifying, expanding, factorising and rationalising expressions, with answers provided.
Resources
- 'FOIL' (binomial) expansion: concrete examples
Part of a series on understanding factoring through a concrete geometric approach. - Distance and absolute value
A synopsis of topic with links to examples and graded exercises. - Graphs: absolute value family
A graphical illustration of the appearance of a family of absolute value graphs. - Linear and quadratic functions and their applications
A synopsis with reference to applications in the real world. - Number tricks (how algebra works!)
An investigation of how algebra works with number tricks.