Algebra for CUET UG GAT 2026: Concepts, Formulas, Important Questions, Short Tricks & Complete Guide

Introduction to Algebra for CUET UG GAT 2026

Algebra is one of the most important and scoring sections in the CUET UG GAT 2026 exam. It tests your ability to work with numbers, variables, equations, and patterns. Most questions are formula-based and can be solved quickly using the right approach.

In CUET, Algebra questions usually come from:

• Linear Equations
• Quadratic Equations
• Identities
• Simplification
• Polynomials
• Ratio and Proportion
• Number System

If your basics are clear, you can easily score 90–100% accuracy in this topic.

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What is Algebra?

Algebra is a branch of mathematics that uses letters (variables) and numbers to represent relationships and solve equations.

In simple words:

Algebra = Numbers + Variables + Operations

Example:

x + 5 = 10
Find x

Solution:

x = 5

Algebra helps us:

• Solve unknown values
• Simplify expressions
• Model real-life problems
• Improve logical thinking

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Important Algebra Formulas for CUET 2026

Algebraic Identities

1. (a + b)² = a² + 2ab + b²
2. (a − b)² = a² − 2ab + b²
3. (a + b)(a − b) = a² − b²
4. (a + b)³ = a³ + b³ + 3ab(a + b)
5. (a − b)³ = a³ − b³ − 3ab(a − b)

Quadratic Formula

x = [-b ± √(b² − 4ac)] / 2a

Linear Equation Formula

ax + b = 0
x = −b / a

Exponent Rules

a^m × a^n = a^(m+n)
a^m / a^n = a^(m−n)
(a^m)^n = a^(mn)

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Why Algebra is Important for CUET UG GAT 2026

1. High Weightage Topic
   Usually 2–3 questions appear in CUET.
2. Scoring Section
   Most questions are formula-based.
3. Foundation for Other Topics
   Helps in Arithmetic, Geometry, and Data Interpretation.
4. Time Saving
   With tricks, questions can be solved in seconds.
5. Predictable Pattern
   Questions follow standard formats.

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Common Patterns of Algebra Questions in CUET

Most questions are asked from:

1. Simplification
2. Algebraic Identities
3. Linear Equations
4. Quadratic Equations
5. Factorization
6. Exponents
7. Word Problems

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Short Tricks to Solve Algebra Questions Fast

Trick 1: Use Identity for Squares

Instead of multiplying:

49²

Use:

(50 − 1)²

= 50² − 2×50×1 + 1
= 2500 − 100 + 1
= 2401

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Trick 2: Difference of Squares

a² − b²

= (a + b)(a − b)

Example:

64 − 36

= (8 + 6)(8 − 6)
= 14 × 2
= 28

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Trick 3: Cross Multiplication

For equations:

a/b = c/d

Then:

ad = bc

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Trick 4: Factor Common Terms

6x + 12

Take common:

6(x + 2)

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Important Algebra Questions for CUET UG 2026 With Step-by-Step Solutions

Question 4497)

Solve:

x + 5 = 12

Options:
A) 5
B) 6
C) 7
D) 8

Answer:
C) 7

Solution:

x = 12 − 5
x = 7

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Question 4498)

Find value of:

2x = 16

Options:
A) 6
B) 7
C) 8
D) 9

Answer:
C) 8

Solution:

x = 16 / 2
x = 8

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Question 4499)

Find:

(3 + 2)²

Options:
A) 10
B) 15
C) 20
D) 25

Answer:
D) 25

Solution:

(3 + 2)²
= 5²
= 25

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Question 4500)

Simplify:

a² − b²

Answer:

(a + b)(a − b)

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Question 4501)

If:

x − 4 = 6

Find x

Answer:

x = 10

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Question 4502)

Find value of:

5²

Answer:

25

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Question 4503)

Solve:

3x = 21

Answer:

x = 7

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Question 4504)

Find:

√49

Answer:

7

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Question 4505)

Simplify:

10x − 5x

Answer:

5x

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Question 4506)

Find:

(7 − 2)²

Answer:

25

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Question 4507)

Solve:

x / 2 = 6

Answer:

x = 12

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Question 4508)

Find:

8²

Answer:

64

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Question 4509)

Simplify:

3a + 2a

Answer:

5a

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Question 4510)

Solve:

x + 9 = 15

Answer:

x = 6

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Question 4511)

Find:

(10 − 3)²

Answer:

49

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Question 4512)

Simplify:

4x + 6x

Answer:

10x

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Question 4513)

Solve:

x − 8 = 4

Answer:

x = 12

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Question 4514)

Find:

6²

Answer:

36

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Question 4515)

Simplify:

9x − 3x

Answer:

6x

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Question 4516)

Solve:

2x + 4 = 10

Answer:

x = 3

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Question 4517)

Find:

(9 + 1)²

Answer:

100

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Question 4518)

Solve:

x / 4 = 5

Answer:

x = 20

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Question 4519)

Simplify:

7a + 3a

Answer:

10a

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Question 4520)

Find:

11²

Answer:

121

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Question 4521)

Solve:

5x = 45

Answer:

x = 9

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Quick Revision Notes for Algebra

• Algebra uses variables and numbers
• Identities help solve questions fast
• Always simplify expressions
• Practice factorization
• Learn formulas properly

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Frequently Asked Questions (FAQs)

Q1. Is Algebra important for CUET UG 2026?

Yes. Algebra is one of the most important and scoring topics in CUET.

Q2. How many questions come from Algebra in CUET?

Usually:

2 to 3 questions

Q3. Is Algebra easy to score?

Yes. With formulas and practice, it becomes very easy.

Q4. What should I study first in Algebra?

Start with:

• Basic equations
• Identities
• Simplification

Q5. How to prepare Algebra quickly for CUET?

Follow:

• Learn formulas
• Practice MCQs daily
• Use short tricks
• Revise regularly

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Conclusion

Algebra is a high-scoring and essential topic for CUET UG GAT 2026. Most questions are formula-based and follow predictable patterns. With regular practice, strong fundamentals, and the right shortcuts, students can solve questions quickly and accurately.

Focus on:

• Algebraic identities for CUET GAT 2026
• Linear equations for CUET GAT 2026
• Simplification Algebra for CUET GAT 2026
• Practice MCQs Algebra for CUET GAT 2026
• Revision Algebra for CUET GAT 2026
• Algebra Formulas for CUET GAT 2026
• Algebra Practice Questions for CUET GAT 2026
• Algebra Short Tricks for CUET GAT 2026
• Algebra Previous Year Questions for CUET GAT 2026
• Algebra Important Questions for CUET GAT 2026

Mastering Algebra can significantly boost your CUET score and overall performance.

Internal links

Trigonometry for CUET UG GAT

Mensuration for CUET GAT 2026

Probability for CUET GAT 2026

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