Algebraic Language
Understand variables, constants, terms and coefficients.
O LEVEL MATHEMATICS
Algebra
Learn how letters, numbers and operations work together to describe patterns, relationships and unknown values with precision.
What Will You Learn?
Build your understanding one clear idea at a time.
Simplifying Expressions
Collect like terms, expand brackets and factorise expressions.
Equations
Solve linear, simultaneous and quadratic equations accurately.
Inequalities
Represent and solve ranges of possible values.
Formulae
Substitute values and rearrange formulae to change the subject.
Quadratics and Fractions
Work with quadratic expressions, quadratic equations and algebraic fractions.
Why Does This Topic Matter?
Algebra helps us describe change, solve unknowns and model real situations.
Equations help us find unknown values fairly.
Algebra describes relationships and changing quantities.
Unknown costs and quantities can be represented with letters.
Patterns become easier to describe using algebra.
CENTRAL IDEA
Algebra turns relationships into symbols we can reason with.
When we use letters and expressions carefully, we can describe patterns and solve problems that would be hard to tackle with arithmetic alone.
Keep the equation balanced at every step.
YOUR LEARNING JOURNEY
Work Through the Lessons Step by Step
Each lesson builds on the ideas introduced before it.
01Available
What Is Algebra?
Understand why algebra uses letters to represent numbers.
Open Lesson →02Available
Variables, Constants and Terms
Recognise the basic building blocks of algebraic expressions.
Open Lesson →03Available
Algebraic Expressions
Read, write and interpret algebraic expressions.
Open Lesson →04Available
Collecting Like Terms
Simplify expressions by combining matching terms.
Open Lesson →05Available
Substitution
Replace letters with values and calculate accurately.
Open Lesson →06Available
Formulae
Use formulae to calculate unknown quantities.
Open Lesson →07Available
Expanding Brackets
Use the distributive property to remove brackets.
Open Lesson →08Available
Factorisation
Rewrite expressions as products of factors.
Open Lesson →09Available
Linear Equations
Solve equations while keeping both sides balanced.
Open Lesson →10Available
Algebraic Word Problems
Translate real situations into equations and solve them.
Open Lesson →11Available
Changing the Subject
Rearrange formulae to isolate a chosen variable.
Open Lesson →12Available
Simultaneous Equations
Solve two equations containing two unknowns.
Open Lesson →13Available
Inequalities
Solve and represent ranges of possible values.
Open Lesson →14Available
Quadratic Expressions
Understand and manipulate expressions containing squared terms.
Open Lesson →15Available
Quadratic Equations
Solve equations containing squared terms.
Open Lesson →16Available
Algebraic Fractions
Simplify and calculate with fractions containing algebra.
Open Lesson →17Available
HCF and LCM of Algebraic Expressions
Find shared factors and common multiples using algebraic factorisation.
Open Lesson →18Available
Completing the Square
Reveal the perfect square hidden inside a quadratic expression.
Open Lesson →19Available
The Quadratic Formula
Solve quadratic equations systematically, including non-factorisable cases.
Open Lesson →20Available
Simultaneous Inequalities
Find ranges that satisfy several inequalities at once.
Open Lesson →21Available
Graphical Inequalities
Represent boundaries and solution regions on coordinate grids.
Open Lesson →22Available
Linear Programming
Optimise real decisions within a set of constraints.
Open Lesson →23Checkpoint
Algebra Revision Worksheet
Review the complete Algebra topic through mixed questions.
Open Lesson →THE STUDYNEST METHOD
How We Will Approach Algebra
Understand the idea before applying the procedure.
Translate
Turn words into algebraic language.
Simplify
Organise the expression carefully.
Balance
Apply the same operation where necessary.
Check
Substitute the answer back into the problem.
Letters Are Simply Numbers We Do Not Know Yet
Algebra becomes less intimidating when every symbol is connected to a clear meaning.
Keep the equation balanced at every step.
YOUR PROGRESS
Algebra Journey
Begin with Lesson 1 and build your understanding step by step.
Algebra Progress0%
Begin Lesson 1 →