Chapter 1

Algebra review

The algebra skills every Year 11 Maths Advanced topic depends on: expanding, factoring, algebraic fractions, quadratic equations and simultaneous equations.

Sections

  1. 1A Expanding brackets Like terms, the distributive law, expanding binomial products and the three special expansions: perfect squares and the difference of squares.
  2. 1B Factoring Factor any expression using the four methods in order: highest common factor, difference of squares, quadratic trinomials (monic and non-monic) and grouping.
  3. 1C Algebraic fractions Simplify, add, subtract, multiply and divide algebraic fractions, and simplify compound fractions, by factoring first.
  4. 1D Solving quadratic equations Three ways to solve a quadratic equation (factoring, completing the square and the quadratic formula) and how to choose between them.
  5. 1E Simultaneous equations Solve pairs of equations by substitution and elimination, including a line meeting a parabola, and see each solution as an intersection point.

Formula sheet