Bank Exam Practice Material Series Page 17 | Algebra Basics Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 17

Algebra Basics Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Algebra shortcut tricks, equation solving methods, identities, factorization concepts, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Algebra Basics

Algebra is one of the core mathematical foundations in competitive exams. This topic helps students improve:

• Logical thinking ability
• Equation solving speed
• Analytical reasoning
• Calculation accuracy
• Problem-solving efficiency

Important Algebra Concepts

• Linear Equations
• Algebraic Identities
• Factorization
• Value Substitution
• Quadratic Basics
• Simplification of Expressions

Basic Algebra Identity

0

Difference of Squares Formula

1

Speed Tricks for Algebra

Identity Shortcut Trick

Find:

(10 + 2)²

Using identity:

10² + 2 × 10 × 2 + 2²

100 + 40 + 4

Answer = 144

Equation Solving Trick

Solve:

x + 15 = 30

Move 15 to other side:

x = 30 − 15

Answer = 15

Difference of Squares Trick

Find:

25² − 15²

Using formula:

(25 − 15)(25 + 15)

10 × 40

Answer = 400

Important Algebra Identities

Identity	Formula
Square of Sum	(a + b)² = a² + 2ab + b²
Square of Difference	(a − b)² = a² − 2ab + b²
Difference of Squares	a² − b² = (a − b)(a + b)
Cube of Sum	(a + b)³
Cube of Difference	(a − b)³

Practice Questions

Question 1

Solve:

x + 12 = 20

x = 20 − 12

Answer = 8

Question 2

Find:

(15 + 5)²

20²

Answer = 400

Question 3

Solve:

2x = 18

x = 18 ÷ 2

Answer = 9

Question 4

Find:

30² − 20²

(30 − 20)(30 + 20)

10 × 50

Answer = 500

Question 5

Solve:

x − 7 = 15

x = 15 + 7

Answer = 22

Important Exam Tips

• Memorize algebraic identities carefully
• Practice equation solving daily
• Improve multiplication speed
• Use shortcut factorization methods
• Focus equally on speed and accuracy

Fast Formula Revision

Topic	Formula
Square of Sum	a² + 2ab + b²
Square of Difference	a² − 2ab + b²
Difference of Squares	(a − b)(a + b)
Linear Equation	Variable Isolation Method
Factorization	Common Factor Method

Daily Practice Strategy

• Practice 20 Algebra questions daily
• Revise identities regularly
• Improve equation-solving speed
• Practice shortcut solving methods
• Focus equally on speed and accuracy

Strong concepts and consistent practice improve competitive exam success.

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Bank Exam Practice Material Series