Search

Search this site Search

52 results for Algebra.

1. Course Algebraic Expressions and Their Uses Middle Years

   Algebraic expressions from the ground up: what they are, the five types, how to find the degree of a term, how to put numbers back in place of the letters, and how to add, subtract…

2. Course Algebraic Identities Middle Years
3. Course Introduction to Algebra Early Years

   A first course in algebra: what a letter stands for, how to write a sentence in words as symbols, how to name terms, factors and co-efficients, and how to add and take away like te…

4. Course Vector Algebra Intermediate 2nd Year Mathematics

   Vector algebra for AP Intermediate 2nd year: vectors and components, section formula, scalar and vector products, projections and areas.

5. Lesson What an algebraic expression is Algebraic Expressions and Their Uses

   What an algebraic expression is: terms joined by the fundamental operations, and how to sort expressions into monomials, binomials, trinomials, polynomials and multinomials by coun…

6. Course Factorization Middle Years

   Factorisation of algebraic expressions: the H.C.F of monomials, factorising with identities, splitting the middle term, and dividing expressions.

7. Programme Middle Years Classes 9–12

   Mathematics for Classes 9 to 12, including Intermediate: algebra, trigonometry, coordinate geometry, functions and proof.

8. Programme Early Years Classes 2–5

   Mathematics for Classes 2 to 5: the four operations, number systems, integers, first algebra and fractions.

9. Lesson Highest Common Factor (H.C.F) of Monomials Factorization

   How to find the highest common factor of algebraic monomials: take the H.C.F of the coefficients and the smallest power of each letter found in every term, with worked examples.

10. Lesson Writing words as symbols Introduction to Algebra

    How to turn sentences into algebra: the key words for add, take away, multiply and divide, which number to write first, and how to test your symbols by putting in a number.

11. Lesson Adding and subtracting expressions Algebraic Expressions and Their Uses

    How to add and subtract algebraic expressions by gathering like terms, using the horizontal and vertical methods, and why every sign inside a bracket changes when the whole bracket…

12. Lesson Multiplying expressions Algebraic Expressions and Their Uses

    Multiplying algebraic expressions: monomial by monomial with the power rule, monomial by binomial with the distributive law, binomial by binomial with a grid, then simplifying by c…

13. Article Factorization in Maths: Methods, Identities and Solved Examples April 2026

    …examples of each, splitting the middle term, and dividing algebraic expressions…

14. Course Matrices Intermediate 2nd Year Mathematics

    Matrices for AP Intermediate 2nd year: types of matrices, matrix operations, transpose, symmetric and skew-symmetric matrices, and inverses by row operations.

15. Lesson Letters that stand for numbers Introduction to Number Systems

    A letter can stand for a number you have not been told yet. Learn variables and constants, how to add and subtract counts of a letter, how powers like a squared work, and how to wr…

16. Lesson Prime factorisation and the standard form of a number Introduction to Number Systems

    Break any composite number into primes by repeated division or a factor tree, see why there is only one way to do it, and write the result in standard form with indices.

17. Lesson Letters that stand for numbers Introduction to Algebra

    Meet variables and constants: letters that stand for numbers which can change, and symbols with a fixed value, shown with boxes of sweets, prices of pens and simple expressions.

18. Lesson Terms, factors and co-efficients Introduction to Algebra

    A letter can stand for a number you do not know yet. Learn to split an expression into terms, a term into factors, and to name the co-efficient, including its sign.

19. Lesson Like and unlike terms Introduction to Algebra

    Tell like terms from unlike terms by looking only at the literal part, with fruit and box examples, terms with two letters, and a practice set with answers.

20. Lesson Adding and taking away like terms Introduction to Algebra

    Add and take away like terms by working with the numbers in front and keeping the letter part, including answers of zero, answers below zero and answers that keep two terms.

21. Lesson The number system Real Numbers and Their Properties

    The six sets of numbers: natural, whole, integers, rational, irrational and real. How five of them sit one inside the next, where the irrational numbers belong, and how to use the…

22. Lesson Closure and the commutative property Real Numbers and Their Properties

    Two questions about real numbers: does adding, subtracting, multiplying or dividing keep you inside the real numbers (closure), and may you swap the two numbers round (the commutat…

23. Lesson Grouping, identities and inverses Real Numbers and Their Properties

    Learn why grouping does not change a sum or product but does change a difference or quotient, meet the identities 0 and 1, and find the additive and multiplicative inverses of a nu…

24. Lesson The degree of an expression Algebraic Expressions and Their Uses

    Find the degree of a monomial by adding the powers of its letters, see why a plain number has degree zero and zero has none, and find the degree of a polynomial.

25. Lesson Putting numbers back in Algebraic Expressions and Their Uses

    Substitution: replacing each letter in an expression with its value and simplifying in the right order. One letter, two letters, squares, negative values, formulas, and a safe five…

26. Lesson Special Forms, Partial Fractions and Integration by Parts Integrals

    Standard forms with x squared plus or minus a squared, partial fractions, integration by parts and the e to the x form.

27. Lesson Special Forms, Partial Fractions and Integration by Parts — Worked Solutions Integrals

    Step-by-step solutions to every practice question in the lesson “Special Forms, Partial Fractions and Integration by Parts”, with each answer checked.

28. Article Best Maths Tuition Point as per the Latest Survey: Reading Ratings and Reviews March 2026

    How to read public ratings and listings when choosing a Maths tuition point, with what Expresswala Academy's website and Justdial profile (4.7 from 45 reviews) state.

29. Article Maths Tuition Point in Vijayawada with 25 Years' Experienced Faculty March 2026

    What teaching experience changes in a Maths class, how Expresswala Academy's 25+ years experienced faculty support school and intermediate students, and how to check experience you…

30. Article Top 10 Best Maths Tuition Points in Vijayawada March 2026

    Ten Maths tuition points in Vijayawada from an editorial roundup, with Expresswala Academy's branches and contact details, a comparison table and a method for shortlisting by level…

31. Article Maths Tuition Point in Poranki: A Stage-by-Stage Guide March 2026

    A stage-by-stage guide to maths tuition in Poranki: Expresswala Academy's courses from Class 2 to intermediate and competitive exams, how to match tuition to your child's level, an…

32. Article Top Tutorials in Poranki, Vijayawada March 2026

    A long-view guide to top tutorials in Poranki, Vijayawada: how maths topics build over the years, balancing school and competitive exams, and what Expresswala Academy offers from C…

33. Article Tuition Point in Poranki, Vijayawada March 2026

    Making tuition work in Poranki: Expresswala Academy's classes, weekly tests and courses, plus an example weekly routine, how to use tests and worksheets, and the parent's role at h…

34. Article Where Can I Find the Best Maths Tutor in Poranki? March 2026

    A step-by-step guide to finding a maths tutor in Poranki: what makes a tutor good, Expresswala Academy's classes from 2nd to 12th standard, questions to ask and mistakes to avoid.

35. Article Latest NCERT Maths Textbook Class 10 PDF: Free Download March 2026

    Free NCERT Class 10 Maths PDF links for the full book and each chapter, plus a method for studying each chapter, a sample weekly routine, and common mistakes to avoid before the bo…

36. Article Laws of Exponents: Exponent Rules and Formulas with Examples March 2026

    Learn the laws of exponents, from the product, quotient and power rules to zero, negative and fractional powers, with the reason behind each rule, six worked examples and the mista…

37. Article CBSE Maths Tutors in Vijayawada April 2026

    A guide for CBSE families in Vijayawada: what CBSE Maths expects, how to check a tutor teaches to NCERT and the board pattern, and Expresswala Academy's stated CBSE programmes, tim…

38. Article Maths Tuition in Vijayawada April 2026

    Why students fall behind in Maths and how good tuition closes the gaps: Expresswala Academy's concept-based approach, an improvement loop, a first-term plan for parents and ways to…

39. Article Tuition Point in Vijayawada May 2026

    Choosing a Maths tuition point in Vijayawada by track: school, CBSE, State Board and AP SSC, Intermediate, IIT-JEE Foundation and online classes at Expresswala Academy, with enrolm…

40. Article Online Maths Tutor in Hyderabad June 2026

    Online maths tuition for Hyderabad students from Expresswala Academy: contact details, the concept-first approach, courses by level, digital tools, a sample week and how parents ca…

41. Article Best Intermediate Colleges for MPC in Hyderabad June 2026

    Hyderabad MPC junior colleges grouped into personalised, large-network and national-brand models, with a comparison table, a way to match the student to a model and checks before e…

42. Article How to Prove √2 and √3 Are Irrational, Class 10 Maths September 2026

    Step-by-step proofs by contradiction that root 2 and root 3 are irrational, the prime-divides-square theorem they rest on, and how to show numbers like 5 minus root 3 and 3 root 2…

43. Article NCERT Class 10 Exercise 1.2 Solutions: Irrational Numbers September 2026

    Step-by-step NCERT Class 10 Exercise 1.2 solutions proving that root 5, 3 + 2 root 5, 1 over root 2, 7 root 5 and 6 + root 2 are irrational, using proof by contradiction and the pr…

44. Article Graphical Method for Pair of Linear Equations, Class 10 September 2026

    Learn to solve a pair of linear equations in two variables by drawing graphs, tell intersecting, parallel and coincident lines apart with the coefficient ratio test, and practise w…

45. Article NCERT Class 10 Exercise 3.1 Solutions: Graphical Method September 2026

    Complete NCERT Class 10 Exercise 3.1 solutions: forming equations from word problems, solving them graphically, the coefficient ratio test for consistency, building equations to or…

46. Article Substitution Method for Pair of Linear Equations, Class 10 September 2026

    Learn the substitution method for a pair of linear equations: why it works, the steps, five worked examples including Aftab's age puzzle, and how to spot one, none or infinitely ma…

47. Article Elimination Method for Pair of Linear Equations, Class 10 September 2026

    Learn the elimination method for pairs of linear equations: why adding or subtracting equations works, the steps, worked examples on incomes and digits, and how to spot no solution…

48. Article NCERT Class 10 Exercise 3.3 Solutions: Elimination Method September 2026

    Complete NCERT Class 10 Exercise 3.3 solutions: four pairs solved by both elimination and substitution, plus five word problems on a fraction, Nuri and Sonu's ages, a two-digit num…

49. Article What Is a Quadratic Equation? Standard Form and Examples September 2026

    Learn what makes an equation quadratic, how to write it in standard form, how to test untidy equations by expanding them, and how to turn word problems about a prayer hall, marbles…

50. Article Solving Quadratic Equations by Factorisation, Class 10 October 2026

    Solve quadratic equations by splitting the middle term: what a root is, why the zero-product rule works, a numbered method, and worked examples including a repeated surd root, the…

51. Article NCERT Class 10 Exercise 4.2 Solutions: Factorisation October 2026

    Step-by-step solutions to all six questions of NCERT Class 10 Exercise 4.2: five quadratic equations solved by splitting the middle term, the marbles and toys problems, and four wo…

52. Article Quadratic Formula and Nature of Roots (Discriminant), Class 10 October 2026

    The quadratic formula, why it is true, and how the discriminant tells you whether a quadratic has two distinct, two equal or no real roots, with worked examples including the circu…