Learn Algebra Step by Step — Without the Confusion
Algebra becomes much easier when every idea is introduced in the right order.
Algebra for Beginners by SB Luwang is a comprehensive, beginner-friendly mathematics book that explains algebra from the foundations and gradually develops the reader’s skills toward more advanced topics.
Instead of presenting algebra as a collection of rules to memorise, the book explains why the rules work, how different ideas connect, and how algebra can be used to solve real problems.
The lessons use simple explanations, carefully worked examples, practice exercises, review questions, and progressively more challenging problems.
What You Will Learn
The book covers:
- Variables, constants, coefficients, terms, and expressions
- Positive and negative numbers
- Simplifying algebraic expressions
- Algebra with fractions
- Powers and exponents
- One-step and multi-step equations
- Equations containing fractions and decimals
- Formulas and changing the subject
- Inequalities
- Absolute value
- Ratios and proportions
- Percentages
- Translating word problems into equations
- Coordinate planes
- Linear equations and graphs
- Slope and straight-line equations
- Simultaneous linear equations
- Polynomials
- Addition, subtraction, and multiplication of polynomials
- Algebraic identities
- Factorisation
- Quadratic expressions and equations
- Completing the square
- The quadratic formula
- Quadratic graphs
- Square roots and radicals
- Algebraic fractions
- Functions
- Linear and quadratic functions
- Patterns and sequences
- Algebra in business
- Algebra in geometry
- Algebra in science
- Mathematical modelling
- Common algebra mistakes
- Problem-solving strategies
50 Structured Chapters
The book is organised into 50 progressive chapters across 14 major parts, beginning with the language of algebra and progressing through equations, graphs, polynomials, quadratics, functions, and real-world modelling.
Each topic builds naturally on the previous one so learners can develop confidence without large jumps in difficulty.
Designed for Practice
Throughout the book you will find:
- Step-by-step worked examples
- Guided explanations
- Practice sets
- Chapter review exercises
- Word problems
- Real-world applications
- Common mistake warnings
- Formula summaries
- Final mixed algebra challenges
- Answer sections for checking progress
Real-World Algebra
Algebra is connected to situations involving:
- Cost
- Revenue
- Profit
- Break-even calculations
- Discounts
- Percentages
- Production
- Distance and speed
- Geometry
- Scientific formulas
- Mathematical modelling
This helps learners understand that algebra is not simply a school subject—it is a practical language for describing relationships and solving problems.
Who Is This Book For?
Suitable for:
- Middle-school students
- Secondary-school students
- Classes 6–10
- Students rebuilding weak algebra fundamentals
- Competitive-exam beginners
- Homeschool learners
- Adult learners
- Parents helping children with mathematics
- Teachers looking for supplementary exercises
- Independent learners studying mathematics from the beginning
No advanced mathematics background is required.
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