Bank Exam Practice Material Series Page 17 | Algebra Basics Practice Set with Answers & Shortcut Tricks

 

 Bank Exam Practice Material Series – Page 17

Algebra Basics Practice Set with Answers & Shortcut Tricks

Shaktimatha Learning – Bank Exam Practice Hub
Learn Algebra shortcut tricks, equation solving methods, algebraic identities, and fast aptitude solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Algebra in Bank Exams

Algebra is one of the most important quantitative aptitude topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams

This section tests:

• Equation solving
• Mathematical reasoning
• Logical calculations
• Problem-solving ability

🎯 Important Algebra Concepts

Questions are mainly based on:

• Linear equations
• Variable values
• Algebraic identities
• Simplification
• Factorization
• Expression solving

 Linear Equation Formula

0

 Algebraic Identity

1

 Shortcut Tricks

Concept	Shortcut
Variable shifting	Change sign
Square identity	Memorize formulas
Equation solving	Keep variable one side
Simplification	Combine like terms
Factorization	Find common factors

 Practice Questions

Q1. Solve: x + 5 = 12

Solution:

x = 12 − 5

✅ Answer = 7

Q2. Solve: 2x = 20

Solution:

x = 20 ÷ 2

✅ Answer = 10

Q3. Find value of x if 3x + 6 = 21

Solution:

3x = 21 − 6

3x = 15

x = 5

✅ Answer = 5

Q4. Simplify: (a + b)²

Solution:

2

✅ Answer = a² + 2ab + b²

Q5. Solve: x − 8 = 15

Solution:

x = 15 + 8

✅ Answer = 23

Q6. Find value of y if 5y = 45

Solution:

y = 45 ÷ 5

✅ Answer = 9

Q7. Simplify: 2a + 3a

Solution:

5a

✅ Answer = 5a

Q8. Solve: 4x + 8 = 24

Solution:

4x = 24 − 8

4x = 16

x = 4

✅ Answer = 4

Q9. Find square of (x − y).

Solution:

3

✅ Answer = x² − 2xy + y²

Q10. Simplify: 7m − 2m

Solution:

5m

✅ Answer = 5m

 Observation Tricks

• Shift terms carefully
• Memorize algebraic identities
• Combine like terms quickly
• Practice equation solving daily

 Important Algebra Formulas

Topic	Formula
Linear Equation	ax+b=c
(a+b)²	a²+2ab+b²
(a−b)²	a²−2ab+b²
Difference of Squares	a²−b²
Like Terms	Combine coefficients

🎯 Daily Practice Strategy

• Practice equation solving
• Revise identity formulas
• Practice simplification questions
• Practice factorization methods
• Practice variable calculations

This improves:

• Mathematical reasoning
• Calculation speed
• Competitive exam confidence

“Strong Algebra Basics Build Powerful Aptitude Solving Skills.”

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Bank Exam Practice Material Series