Bank Exam Algebra, Equations & Factorization – Page 5 (Premium Guide)
Linear Equations • Factorization • Fast Solving Techniques • Exam Strategy
Core Concepts
Linear Equation: ax + b = 0
Quadratic Form: ax² + bx + c = 0
x = (−b ± √(b² − 4ac)) / 2a
Linear Equation Practice
Q1. 2x + 6 = 0
2x = −6
x = −3
Q2. 3x − 9 = 0
x = 3
Q3. 5x + 10 = 0
x = −2
Q4. 4x − 20 = 0
x = 5
Q5. 7x + 14 = 0
x = −2
Quadratic Factorization
Q6. x² − 5x + 6 = 0
(x − 2)(x − 3)
x = 2, 3
Q7. x² − 7x + 10 = 0
(x − 5)(x − 2)
x = 5, 2
Q8. x² − 9x + 20 = 0
(x − 5)(x − 4)
x = 5, 4
Q9. x² − 11x + 30 = 0
(x − 6)(x − 5)
x = 6, 5
Q10. x² − 13x + 42 = 0
(x − 6)(x − 7)
x = 6, 7
Advanced Algebra
Q11. x² − 4x − 12 = 0
(x − 6)(x + 2)
x = 6, −2
Q12. x² + 5x + 6 = 0
(x + 2)(x + 3)
x = −2, −3
Q13. x² − x − 6 = 0
(x − 3)(x + 2)
x = 3, −2
Q14. x² + 7x + 12 = 0
(x + 3)(x + 4)
x = −3, −4
Q15. x² − 6x + 9 = 0
(x − 3)²
x = 3, 3
Topper Tips
- Find two numbers: sum = b, product = c
- Check signs carefully
- Use factorization instead of formula
- Memorize common patterns
Exam Strategy
- Solve linear equations in 5–10 seconds
- Use factorization for quadratics
- Avoid using full formula unless necessary
Final Tip
Break Equation → Factorize → Solve Quickly
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