2. Algebra
The chapter covers fundamental concepts in algebra, including linear inequations, quadratic equations, factorization of polynomials, ratios, proportions, matrices, and progressions. Each section explains the principles, provides examples, and demonstrates methods for solving problems associated with each topic. The chapter concludes with exercises and group activities that reinforce the learned concepts.
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Sections
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What we have learnt
- An inequation expresses the inequality between two expressions.
- Quadratic equations can be solved using factorization or the quadratic formula.
- Factorization of polynomials involves writing them as a product of their factors through various methods.
Key Concepts
- -- Inequation
- A mathematical sentence that expresses the inequality between two expressions.
- -- Quadratic Equation
- An equation in the form ax² + bx + c = 0, where a ≠ 0, which can be solved using factorization or the quadratic formula.
- -- Factorization
- The process of writing a polynomial as a product of its factors.
- -- Ratio
- A comparison between two quantities expressed as a fraction a:b = a/b.
- -- Matrix
- A rectangular array of numbers that can be added, subtracted, or multiplied under certain conditions.
- -- Arithmetic Progression (A.P.)
- A sequence where the difference between consecutive terms is constant.
- -- Geometric Progression (G.P.)
- A sequence where each term is obtained by multiplying the previous term by a constant (common ratio).
Additional Learning Materials
Supplementary resources to enhance your learning experience.