Master the fundamentals of algebraic thinking
Algebra is the language of mathematics. This section covers key algebraic concepts including algebraic expressions, exponents, surds, linear equations, quadratic equations, simultaneous equations, and linear inequalities. Each topic includes interactive games and quizzes to test your understanding.
Select a topic below to begin your studies.
Variables, terms, coefficients, simplifying expressions, and basic algebraic manipulation
Explore ExpressionsLaws of exponents, simplifying expressions, solving exponential equations, and working with surds
Explore ExponentsSolving linear equations, balancing both sides, and applying linear methods to algebra problems
Explore LinearStandard form, factorization, completing square, quadratic formula, and discriminant
Explore QuadraticsSubstitution, elimination, graphical interpretation, and word problems
Explore SimultaneousSolving and interpreting inequalities, interval notation, and representing solutions on number lines
Explore InequalitiesTest your understanding of algebra before diving into the topics.
Hint: Think about what exponents represent.
Algebra is the language used across many Grade 10 Mathematics topics, so practise small steps carefully. Start with simplifying expressions, then substitution, factorising, equations, inequalities, exponents, and word problems. Each skill depends on the one before it.
When you make a mistake, label the type of mistake: sign error, exponent error, bracket error, like terms mixed incorrectly, or equation step skipped. This helps you fix the habit instead of only correcting one answer.
Use this Algebra section to strengthen the skills that appear across the rest of Mathematics. Focus on simplifying correctly, handling signs and brackets, solving equations step by step, and explaining word problems with algebraic statements.
When revising, keep a short list of rules for negatives, exponents, fractions, and brackets. Most algebra errors come from one of those four places.
Check each line of working before moving to the next line; one small sign error can change the whole answer.
A useful path from this page is to begin with Algebraic Expressions, continue with Exponents and Surds, and then test your understanding with Linear Equations. Do not rush through the links; spend time on the examples and make sure you can explain the main idea without looking at the notes.
Use this page to build definitions, worked examples, formulas, diagrams, and problem-solving methods. Write down key terms, formulas, diagrams, or steps that appear often so that revision becomes active instead of just rereading.
Keep a correction book for sign errors, formula mistakes, geometry reasons, and questions that need more practice. After each lesson, close the page and try a short self-test from memory before checking your notes again.
If you are stuck, start with algebra basics and number skills, because many later topics depend on accurate manipulation and clear working. If a topic feels too difficult, return to the previous link, revise the basics, and then try the examples again before using past papers.
