GRE Quantitative Reasoning

The GRE Quantitative Reasoning section assesses your ability to understand, interpret, and analyze quantitative information, as well as to solve problems using mathematical concepts.

Arithmetic FoundationsAlgebraic ExpressionsData Interpretation
Advanced GeometryWord Problems and Quantitative ReasoningProbability and Combinatorics
Personal Finance MathData Analysis in the WorkplaceTravel and Logistics Planning
Time Management on the GREGuessing StrategicallyChecking Your Work Efficiently
Arithmetic Foundatio...Algebraic Expression...Data InterpretationAdvanced GeometryWord Problems and Qu...Probability and Comb...Personal Finance Mat...Data Analysis in the...Travel and Logistics...Time Management on t...Guessing Strategical...Checking Your Work E...
Basic Concepts

Algebraic Expressions

Manipulating Variables and Solving Equations

Algebra helps you generalize and solve problems using variables. You'll encounter expressions, equations, and inequalities.

Key Concepts

  • Simplifying algebraic expressions
  • Solving linear equations and inequalities
  • Substitution and factoring

Why It Matters

Algebra is used in budgeting, predicting trends, and even figuring out how long it will take to reach a savings goal.

Problem-Solving Approach

  • Isolate the variable using inverse operations.
  • Check your solutions by plugging them back into the original equation.
  • Watch for extraneous solutions in inequalities.

GRE Focus

On the GRE, you may need to interpret word problems and write equations that model real situations.

Examples

  • Solve for \( x \): \( 2x - 5 = 9 \).

  • If \( y = 3x + 2 \) and \( x = 4 \), what is \( y \)?

In a Nutshell

Algebra is about representing and solving problems with variables.

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Data Interpretation