Algebra
View Questions of Algebra
Quantitative Aptitude - Algebra
Build foundational and advanced algebraic skills including operations, identities, equations, and factorization.
1. Basic Concepts
- Constants, variables, expressions
- Operations: addition, subtraction, multiplication, division
2. Standard Identities
- (a + b)² = a² + 2ab + b²
- (a − b)² = a² − 2ab + b²
- a² − b² = (a − b)(a + b)
- (x + a)(x + b) = x² + (a + b)x + ab
3. Factorization Techniques
- Common factor
- Grouping
- Using identities
- Quadratic equations: ax² + bx + c = 0 → factor or use formula
4. Equations
- Linear: ax + b = 0 → x = −b/a
- Quadratic: x = [−b ± √(b²−4ac)] / 2a
5. Word Problems
- Translate statements into algebraic equations
- Solve using simplification or substitution
6. Strategy
- Memorize identities and practice factorization
- Always simplify equations before solving
Summary: Algebra is a symbolic math system requiring identity mastery and logical manipulation. Focus on structure and simplification.
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