# PowerScore GRE Forum

# Algebra Topics and Exercise Examples

RyanBornPowerScore
PowerScore Staff

Straight from ETS, maker of the GRE, here are the topics to know with example
exercises from POWERPREP,
the official practice tests.

Sources:
Official GRE Math Review [PDF} and
Official Introduction to the Quantitative Reasoning Measure.

**Operations with Algebraic Expressions***Example Problems*- Medium — If x > 0, then (√4x +…

- Medium — If x > 0, then (√4x +…

**Rules of Exponents***Example Problems*- Hard — x > 1…

- Hard — x > 1…

**Solving Linear Equations**- Solving for One Variable
- Solving for Two Variables (System of Equations)
*Example Problems*

**Solving Quadratic Equations**- FOILing and Factoring
*Example Problems*- Easy — (x – 2y)(x + 2y) = 4…
- Medium — If (2x + 1)(x – 5) =…

**Solving Linear Inequalities***Example Problems*- Easy — If 4x + 3 > …
- Medium — How many ordered pairs of positive integers (x, y)…

**Functions***Example Problems*

**Applications (Word Problems)**- Rates and other topics
*Example Problems*

**Coordinate Geometry**- Graphs of Linear Equations
- Slope and Intercepts

- Graphs of Functions
- Transformations

- Polygons and Circles in the Coordinate Plane
*Example Problems*

- Graphs of Linear Equations

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