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GRE Quantitative

Algebraic Expressions

Learn Algebraic Expressions in GRE Quantitative from the production AIPH study guide.

Study guide topics

Arithmetic FoundationsAlgebraic ExpressionsData InterpretationAdvanced GeometryWord Problems and Quantitative ReasoningProbability and CombinatoricsPersonal Finance MathData Analysis in the WorkplaceTravel and Logistics PlanningTime Management on the GREGuessing StrategicallyChecking Your Work Efficiently

Basic Concepts

In a nutshell: Algebra is about representing and solving problems with variables.

## 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 \( y \)?
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