Group
CMAT Algebra Formulas PDF
The CMAT Algebra Formulas PDF is a useful revision material for students preparing for the Quantitative Techniques and Data Interpretation section of the CMAT exam. Algebra is one of the most important topics in the CMAT syllabus, and questions are frequently asked from linear equations, quadratic equations, inequalities, algebraic identities, surds, and indices. Students who are familiar with these concepts and formulas can solve questions more quickly and accurately. Regular revision of Algebra formulas, along with consistent practice of mock tests and previous year questions, can significantly improve problem-solving speed and overall performance in the CMAT exam.
Importance of CMAT Algebra Formulas
A CMAT Algebra Formula PDF is an essential resource for effective preparation and last-minute revision.
Quick Revision
A single PDF contains all important Algebra formulas and concepts in one place, making revision easier and more structured.
Improves Speed
Mastering algebraic identities, quadratic equations, inequalities, and exponent rules helps candidates solve questions faster during the exam.
Better Accuracy
Regular practice of Algebra formulas reduces calculation mistakes and improves overall accuracy.
Strengthens Fundamentals
Consistent revision helps build a strong foundation in equations, inequalities, algebraic expressions, surds, and indices.
Enhances Problem-Solving Skills
A solid understanding of Algebra formulas enables candidates to solve a wide variety of CMAT questions confidently and efficiently.
Read Also, CMAT Formulas PDF, Download Quant Important Formulas
Complete CMAT Algebra Formula List
Below is a complete list of important CMAT Algebra formulas for quick revision.
Linear and Quadratic Equations
Solution of a Linear Equation
For a linear equation:
ax + b = 0
x = -b/a
Two Linear Equations in Two Variables
For:
a₁x + b₁y = c₁
a₂x + b₂y = c₂
x = (b₁c₂ - b₂c₁)/(a₁b₂ - a₂b₁)
y = (a₂c₁ - a₁c₂)/(a₁b₂ - a₂b₁)
Quadratic Formula
For:
ax² + bx + c = 0
x = [-b ± √(b² - 4ac)]/2a
Discriminant
D = b² - 4ac
- D > 0 → Two distinct real roots
- D = 0 → Equal real roots
- D < 0 → Complex roots
Sum and Product of Roots
For quadratic equation:
ax² + bx + c = 0
Sum of roots = -b/a
Product of roots = c/a
Quadratic Equation from Given Roots
If roots are r₁ and r₂:
x² - (r₁ + r₂)x + r₁r₂ = 0
Inequalities
Linear Inequality
For:
ax + b < c
If a > 0,
x < (c - b)/a
Sign Change Rule
When multiplying or dividing an inequality by a negative number, the inequality sign reverses.
Three-Part Inequality
For:
a < bx + c ≤ d
(a - c)/b < x ≤ (d - c)/b
Modulus Inequality
|x - a| < k
a - k < x < a + k
Quadratic Inequality
For:
ax² + bx + c = a(x - r₁)(x - r₂)
The sign of the expression changes only at its roots.
AM-GM Inequality
For non-negative numbers p and q:
(p + q)/2 ≥ √pq
Equality holds when p = q.
Algebraic Expressions
Square of a Sum
(a + b)² = a² + 2ab + b²
Square of a Difference
(a - b)² = a² - 2ab + b²
Difference of Squares
(a + b)(a - b) = a² - b²
Cube of a Sum
(a + b)³ = a³ + 3a²b + 3ab² + b³
Sum of Cubes
a³ + b³ = (a + b)(a² - ab + b²)
Difference of Cubes
a³ - b³ = (a - b)(a² + ab + b²)
Square of Three Terms
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Surds and Indices
Multiplication of Powers
aᵐ × aⁿ = aᵐ⁺ⁿ
Division of Powers
aᵐ/aⁿ = aᵐ⁻ⁿ
Power Raised to a Power
(aᵐ)ⁿ = aᵐⁿ
Negative Exponents
a⁻ⁿ = 1/aⁿ
Fractional Exponents
a¹⁄ⁿ = ⁿ√a
Product of Square Roots
√p × √q = √pq
Scientific Notation
N × 10ᵏ
where 1 ≤ N < 10
CMAT Algebra Question Distribution Over the Years
Algebra is one of the most frequently tested topics in the CMAT Quantitative Techniques section. Questions are generally asked from equations, inequalities, algebraic identities, and surds.
| CMAT Exam Year | Algebra Questions |
|---|---|
| CMAT 2025 | 3-4 |
| CMAT 2024 | 3-5 |
| CMAT 2023 | 3-4 |
| CMAT 2022 | 2-4 |
The number of questions may vary slightly from year to year.
Read Also, CMAT Syllabus 2027, Section-Wise Important Topics
Tips to Master Important Algebra Formulas for CMAT
CMAT Algebra Formula PDF can be used effectively to improve speed, accuracy, and conceptual clarity. Instead of memorising formulas alone, candidates should focus on understanding their applications through regular practice.
The following tips can help candidates master important Algebra formulas:
Prepare a one-page formula sheet containing all important Algebra formulas for quick revision before the exam.
Revise Algebra formulas daily and allocate dedicated weekly revision sessions to improve retention.
Practice questions immediately after revising formulas to strengthen conceptual understanding.
Solve timed quizzes and mock tests to improve speed and identify weak areas.
If you find any formula difficult to remember, write it down multiple times and apply it in different question types.
Focus on understanding the logic behind formulas rather than memorising them mechanically.
Read Also, CMAT Score vs Percentile 2027, Check Previous Year Analysis
Download Cracku's Free CMAT Algebra Formulas PDF
Cracku has compiled all the important CMAT Algebra formulas into a single PDF to simplify your preparation. Download this free CMAT Algebra Formulas PDF to revise important concepts quickly, improve calculation speed, strengthen conceptual understanding, and score higher in the CMAT Quantitative Techniques and Data Interpretation section.
Read Also, CMAT Percentile-wise Colleges 2027, Cut-off, Fees, Placements
CMAT Algebra Formulas PDF: Conclusion
The CMAT Algebra Formulas PDF is an essential study resource for candidates aiming to strengthen their Quantitative Techniques preparation. Since Algebra forms a significant part of the CMAT syllabus, having all important formulas related to equations, inequalities, algebraic identities, surds, and indices in one place makes revision faster and more efficient. Regular revision of these formulas helps candidates solve questions with greater confidence and accuracy.
To maximize your CMAT performance, combine formula revision with consistent practice of mock tests and previous year questions. The CMAT Algebra Formulas PDF serves as a reliable companion for last-minute revision, helping aspirants improve calculation speed, enhance problem-solving skills, and achieve a higher score in the examination.
