What this topic covers
Algebra has 22 subtopics, including:
- The basic processes of algebra
- Definition of a function
- Domain and range of a function
- Composite functions
- Inverse functions
- Expanding brackets and collecting like terms
GCSE AQA Higher Further Maths
Algebra – GCSE AQA Higher Further Maths revision notes
Revise Algebra for GCSE AQA Higher Further Maths, including The basic processes of algebra, Definition of a function, and Domain and range of a function.
Algebra covers The basic processes of algebra, Definition of a function, Domain and range of a function, and Composite functions in GCSE AQA Higher Further Maths. 24 lessons in 22 subtopics.
24
Lessons
22
Subtopics
Algebra lessons by subtopic
24 lessons, grouped by subtopic.
The basic processes of algebra
Definition of a function
Domain and range of a function
Composite functions
Inverse functions
Expanding brackets and collecting like terms
Expand (a + b)^n for positive integer n
Factorising
Manipulation of rational expressions
Use and manipulation of formulae and expressions
Use of the factor theorem for rational values of the variable for polynomials
Completing the square
Drawing and sketching of functions; interpretation of graphs
Solution of linear and quadratic equations
Algebraic and graphical solution of simultaneous equations in two unknowns
Algebraic solution of linear equations in three unknowns
Solution of linear and quadratic inequalities
Index laws, including fractional and negative indices and the solution of equations
Algebraic proof
Using nth terms of sequences; limiting value of a sequence as n tends to infinity
nth terms of linear sequences
nth terms of quadratic sequences
More in this course
Go back to the full GCSE AQA Higher Further Maths topic list, or practise this topic with past-paper questions.
Frequently asked questions
Is this the right Algebra page for my course?
These notes are for GCSE AQA Higher Further Maths. If you are on a different exam board or tier, choose your course from the Further Maths page instead, because the content is not always the same.
What should I do after reading the lessons?
Test yourself without the notes open, then try past-paper questions on the same topic. The questions you get wrong tell you which lesson to go back to.