F1.1: Algebraic Techniques

Indices

• Multiplying indices

• Dividing indices

• Dividing indices - part 2

• Raising powers to a power

• The zero index

• Negative index - part 1

• Negative index - part 2

• Fractional indices

Simplifying and expanding algebraic expressions

• Adding and simplifying algebraic expressions

• Adding and simplifying algebraic fractions part 1

• Multiplying and dividing algebraic fractions - part 2

• Dividing algebraic expressions - part 1

• Dividing Algebraic expressions - part 2

• Dividing Algebraic expressions - part 3

• Expanding Algebraic expressions

• Binomial products - part 1

• Binomial products - part 2

• Removing brackets involving perfect squares

Factorising

• Factorising involving common factors

• Factorising in pairs

• Factorising monic trinomial - part 1

• Factorising monic trinomial - part 2

• Factorising non-monic trinomials

• Difference of two squares

• Difference of cubes

Simplifying algebraic fractions

• Factorise and simplify - part 1

• Factorise and simplify - part 2

• Factorise and simplify - part 3

• Factorise and simplify - part 4

Simultaneous Equations

• The substitution method - part 1

• The substitution method - part 2

• The elimination method - part 1

• The elimination method - part 2

• Problems solving - part 1

• Problems solving - part 2

• Application of simultaneous equations (HSC questions)

• Non-linear simultaneous equations part 1

• Non-linear simultaneous equations part 2

• simultaneous equations with three variables

Quadratic Equations

• Simple quadratic equations

• Quadratic equation with common factors

• Quadratic equations with the difference of two squares

• Quadratic equations with factorising - part 1

• Quadratic equations with factorising - part 2

• Quadratic equations with factorising - part 3

• Quadratic equations with completing the squares - part 1

• Quadratic equations with completing the squares - part 2

• Quadratic equations with completing the squares - part 3

• Quadratic equations with completing the squares - part 4

• The quadratic formula

• Quadratic equations using the quadratic formula part 1

• Quadratic equations using the quadratic formula part 2

Substitutions (coming soon)

Surds

• Simplifying surds

• Adding and Subtracting Surds

• Multiplying Surds

• Dividing surds

• Binomial products with surds

• Rationalising the denominator