Need some free GRE Math help?
This is a series of free lessons that will cover the mathematics
topics required for the Quantitative Reasoning Measure of the GRE
revised General Test. It is based on the
Math Review text from ETS - the organization
that conducts the examinations.
The topics covered are arithmetic, algebra, coordinate geometry,
geometry, data analysis and tips for the GRE Examinations.
GRE Math Practice Test Questions and Solutions
These videos will give you a quick revision for some common GRE exam style questions. Scroll down the page if you need more in-depth explanations and examples.
Arithmetic
|
Integers
Adding, Subtracting, Multiplying and Dividing Integers, Even
and Odd Integers, Factors and Multiples, Least Common
Multiple, Greatest Common Factor, Prime Numbers, Prime
Factorization |
Fractions
Equivalent Fractions, Reducing Fractions, Mixed Numbers,
Adding and Subtracting Fractions, Multiplying and Dividing
Fractions |
|
Exponents
and Roots Exponents, Zero and Negative Exponents,
Square Roots, Rules for Square Roots, Roots of Higher Order
|
Decimals
Decimals, Decimal Place Value, Expanding Decimals, Convert
Decimals to Fractions, Convert Fractions to Decimals,
Repeating Decimals, Rational and Irrational Numbers |
|
Real Numbers
Rational and Irrational Numbers, Real Numbers, Inequalities,
Absolute Value,Properties of Real Numbers |
Ratio
Ratios and Proportions |
|
Percent
Percent, Percents, Fractions, and Decimals, Percent
Problems, Using Percent Equation, Using Percent Proportion,
Percent Application Problems, Percent Change |
|
Algebra
|
Operations with
Algebraic Expressions Algebraic Expressions,
Simplifying Algebraic Expressions, Combine Like Terms,
Distributive Property, Factor out the GCF, Multiplying
Expressions, Expanding, Perfect Square Trinomials,
Difference of Two Squares, Simplifying Rational Expressions
|
Rules
of Exponents Rules of Exponent, Zero Exponents,
Product Rule, Quotient Rule, Power Rule, Negative Exponent,
Same Exponent |
|
Solving
Linear Equations Equivalent Equations, Solving Linear
Equations, Isolate the Variables, Examples with Single Step,
Examples with Multiple Steps, Examples using Combining Like
Terms, Examples using Distributive Property |
Solving
Linear Equations in Two Variables Linear Equations in
Two Variables, Solving Simultaneous Equations, Using the
Substitution Method, Using the Elimination Method |
|
Solving
Quadratic Equations Quadratic Equations, Solve
Quadratic Equations using the Quadratic Formula, Using the
Discriminant to find the number of Solutions, Solve
Quadratic Equations by Factoring |
Solving
Linear Inequalities Examples on how to solve linear
inequalities. |
|
FunctionsFunctions
as equations, Domain of Functions |
Applications
Applications of Algebra, Translating Words to Algebra,
Examples of using Algebra to solve Word Problems, Average
Word Problems, Mixture Word Problems, Distance, Rate, Time
Word Problems, Work Word Problems, Word Problems that
involve Simultaneous Equations, Word Problems that involve
Inequalities |
|
Interest
Applications Simple Interest Word Problems, Compound
Interest Word Problems
|
|
Coordinate Geometry
|
Coordinate
Plane xy-coordinate system, four quadrants, ordered
pair, plot points on the coordinate plane, reflection of
points about the x-axis, y-axis and
origin |
Distance
Formula |
|
Equations
of Lines
|
Equations of
Parallel Lines and Perpendicular Lines |
|
Solving
Systems of Equations using the Graphical Method |
Solving Stems of Inequalities using the
Graphical Method |
|
Quadratic Graphs |
Equations
of Circles |
|
Graphs
of Functions how to graph some basic functions, how to
graph piece-wise defined functions, reflection of graphs in
the x-axis or y-axis, horizontal and
vertical graph transformations, vertical stretching and
shrinking graphs, graphs of inverse functions, how to find
the inverse function using algebra |
|
Geometry
|
Lines and
Angles points, lines and planes, angles, parallel
lines and angles |
Polygons
polygons, interior and exterior angles of regular polygons |
|
Triangles
angles and sides of triangles, types of triangles,
Pythagorean Theorem, special right triangles, area of a
triangle, congruent triangles, similar triangles |
Quadrilaterals
quadrilaterals; squares, rectangles, parallelograms,
trapezoids, area of quadrilaterals |
|
Circles circumference of a circle,
arc length, area of a circle, area of sector, tangent of a
circle, inscribed and circumscribed polygons |
Three-Dimensional Figures rectangular
solids and right circular cylinders.
|
Data Analysis
The goal of data analysis is to understand data well enough to
describe past and present trends, predict future events with some
certainty, and thereby make better decisions. In this limited review
of data analysis, we begin with tools for describing data; follow
with tools for understanding counting and probability; review the
concepts of distributions of data, random variables, and probability
distributions; and end with examples of interpreting data.
Tips for the GRE exam
Learn all about the structure of the test and the new question
types, get resources for additional practice and information on the
new GRE, and hear advice on how to study and prepare for the exam.
The following video provides an overview of the GRE and explains
how to make the most of your study time.
The following video gives a GRE test review. It explains what you
should know about the GRE before you get going with GRE prep.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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