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# Algebra Topics and Exercise Examples

RyanBornPowerScore
PowerScore StaffJoined: 04/27/2016Posts:

**490**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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