GMAT Quantitative

A comprehensive introduction to the quantitative reasoning skills tested on the GMAT, covering arithmetic, algebra, geometry, and data analysis.

Arithmetic EssentialsAlgebra FundamentalsGeometry Basics
Word Problems and Translating ScenariosData Analysis and InterpretationAdvanced Algebra and Functions
Quantitative Reasoning in BusinessPersonal Finance and Everyday MathAnalyzing Trends and Making Predictions
Time Management on the GMATGuessing and Elimination Techniques
Arithmetic Essential...Algebra FundamentalsGeometry BasicsWord Problems and Tr...Data Analysis and In...Advanced Algebra and...Quantitative Reasoni...Personal Finance and...Analyzing Trends and...Time Management on t...Guessing and Elimina...
Advanced Topics

Advanced Algebra and Functions

Leveling Up Algebra

The GMAT tests advanced algebra concepts, including functions, exponents, radicals, and quadratic equations. Understanding how to manipulate these is crucial for higher-level problem solving.

What's Covered

  • Exponents and roots
  • Quadratic equations (\( ax^2 + bx + c = 0 \))
  • Functions and their notation (\( f(x) \))
  • Systems of equations

Real-World Applications

Advanced algebra underpins finance (compound interest), science (growth models), and technology (algorithms).

Advice

  • Factor quadratics when possible to find solutions quickly.
  • Practice function notation to avoid confusion.

Takeaway

Mastering these topics gives you the flexibility to tackle the toughest GMAT questions.

Key Formula

\[ax^2 + bx + c = 0\]

Examples

  • If \( x^2 - 5x + 6 = 0 \), then \( (x-2)(x-3) = 0 \), so \( x = 2 \) or \( x = 3 \).

  • For \( f(x) = 2x + 3 \), if \( x = 4 \), then \( f(4) = 2×4 + 3 = 11 \).

In a Nutshell

Advanced algebra covers complex equations, functions, exponents, and radicals for high-level problem solving.

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Quantitative Reasoning in Business