GRE Subject Test: Math

The GRE Subject Test in Math assesses knowledge and skills in undergraduate-level mathematics, including calculus, algebra, and geometry.

Algebra FundamentalsCalculus ConceptsGeometry Essentials
Abstract AlgebraReal AnalysisComplex Numbers and Functions
Mathematics in EngineeringFinance and EconomicsTechnology and Computer Science
Time Management for GRE MathProcess of Elimination
Algebra FundamentalsCalculus ConceptsGeometry EssentialsAbstract AlgebraReal AnalysisComplex Numbers and ...Mathematics in Engin...Finance and Economic...Technology and Compu...Time Management for ...Process of Eliminati...
Basic Concepts

Algebra Fundamentals

Understanding the Language of Algebra

Algebra is all about using symbols and letters to represent numbers and relationships. You'll work with variables, expressions, equations, and inequalities to solve everyday mathematical problems.

Core Concepts

  • Variables and Constants: Letters like \(x\) and \(y\) represent unknowns, while numbers are constants.
  • Operations: You add, subtract, multiply, and divide variables just like numbers.
  • Equations: An equation states that two things are equal; your job is to find the value of the variable that makes it true.

Why It Matters

Algebra forms the backbone of all higher mathematics and is essential in science, finance, engineering, and more.

Tips for Mastery

  • Practice simplifying expressions.
  • Learn to factor and expand polynomials.
  • Solve for unknowns efficiently.

Quick Practice Problems

  • Solve \(2x + 5 = 13\).
  • Simplify \((x + 3)(x - 2)\).

Examples

  • Solving for \(x\) in \(3x + 4 = 10\) gives \(x = 2\).

  • Factoring \(x^2 - 9\) as \((x + 3)(x - 3)\).

In a Nutshell

Algebra uses variables and symbols to solve equations and represent real-life relationships.

Key Terms

Variable
A symbol that represents an unknown number.
Equation
A statement that two expressions are equal.
Next
Calculus Concepts