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