Unit: Linear Equation in two variables Chapter: Solving Using Algebraic Method Reference: – Definition of Linear Equations in Two Variables, Standard Form of Linear Equations, Solution of a Linear Equation in Two Variables, Concept of Simultaneous Linear Equations, Graphical Interpretation of Solutions, Substitution Method, Elimination Method (Addition or Subtraction Method), Cross Multiplication Method, Conditions for […]
Unit: Understanding Structure of Expressions Chapter: Introduction, structure and rewriting Reference: – Definition of Algebraic Expressions, Terms, Factors, and Coefficients, Types of Expressions (Monomial, Binomial, Polynomial, etc.), Like Terms and Unlike Terms, Simplifying Expressions, Use of Parentheses and Brackets, Distributive Property, Factoring Expressions, Expanding Expressions, Rewriting Expressions Using Identities, Translating Verbal Phrases into Algebraic Expressions, […]
Unit: Simple Equations & Inequalities Chapter: Rational and Radical Equations Reference: – Definition of Rational Equations, Restrictions on Variables (Domain Constraints), Clearing Denominators (Multiplying by LCD), Solving Rational Equations, Extraneous Solutions in Rational Equations, Definition of Radical Equations, Isolating the Radical Expression, Squaring Both Sides of an Equation, Checking for Extraneous Solutions in Radical Equations, […]
Unit: Simple Equations & Inequalities Chapter: Single-Variable Linear Equations & Inequalities, and Their Properties Reference: – Definition of Linear Equations in One Variable, Solution of Linear Equations, Properties of Equality, Transposition Method, Application of Distributive Property, Equations with Variables on Both Sides, Linear Equations Involving Fractions and Decimals, Introduction to Linear Inequalities in One Variable, […]
Unit: Quadratic Equations Chapter: Quadratic Formula and Nature Of Roots Reference: – Concept of completing the square, rewriting quadratic expressions in perfect square form, using algebra tiles or geometric visualization, solving quadratic equations by completing the square, converting standard form to vertex form, Application in finding vertex of a parabola, Role of square completion in […]
Unit: Quadratic Equations Chapter: Solving Quadratic Equation by completing the square Reference: – Understanding the standard form of a quadratic equation, Derivation of the quadratic formula, identifying coefficients from standard form, Applying the quadratic formula to solve equations, Discriminant and nature of roots, solving equations with real and complex solutions, Simplifying square roots in the […]
Unit: Quadratic Equations Chapter: Solving Quadratic Equation by factorization Reference: – Solving Quadratic Equations Using Square Roots, Understanding Perfect Square Trinomials, Applying the Principle of Square Roots, Working with Non-Perfect Square Roots, Interpreting the Discriminant, Classifying the Nature of Roots (Real, Imaginary, Rational, Irrational), Graphical Meaning of Roots, Real-life Applications of Square Root Method, Solving […]
Unit: Quadratic Equations Chapter: Solving Quadratic Equations, Use of Quadratic Formulae Reference: – Recognizing Factorable Quadratic Expressions, Structure of a Quadratic Equation, Greatest Common Factor (GCF) Method, Factoring Trinomials with Leading Coefficient One, Factoring Trinomials with Leading Coefficient Not One, Difference of Squares, Perfect Square Trinomials, Solving by Factoring and Using Zero Product Property, Checking […]
Unit: Linear Equation in two variables Chapter: Combining Quadratic and Linear Equations Reference: – Definition of Linear Equations, Definition of Quadratic Equations, Graphical Representation of Linear Equations, Graphical Representation of Quadratic Equations, Intersection Points Between Line and Parabola, Solving Systems of Linear and Quadratic Equations Algebraically, Substitution Method for Solving Systems, Discriminant in Quadratic Equations, […]
Unit: Linear Equation in two variables Chapter: Solving Using Graphical Method Reference: – Definition of Linear Equations in Two Variables, Standard Form of Linear Equations, Cartesian Coordinate Plane, Plotting Points on the Cartesian Plane, Graph of a Linear Equation, Finding X-intercept and Y-intercept, Slope of a Line, Slope-Intercept Form, Point-Slope Form, Graphing Linear Equations Using […]