  Math Help for the GRE General Test

WTAMU > Virtual Math Lab > GRE Math Introduction

HOW TO EFFECTIVELY USE THIS WEBPAGE:

 Under the arithmetic, geometry and data analysis areas, you need to go to all the links that are under each topic to get the full benefit.  Under the algebra area, there is a lot of overlapping between the different levels (beginning, intermediate, and college) of tutorials.  Find the algebra level that agrees with you most and do all of the tutorials under that level.  If you start below college level algebra, make sure that you make your way up through college algebra before you take the GRE general test. When you are done with a tutorial, you can come back to this webpage by clicking on the back arrow link marked GRE Math Help Page found on the top left corner of the tutorial page OR clicking on the back arrow on the top left of your Internet window until you are back to this page. Arithmetic

 The first area that we will be looking at is arithmetic.  You know, fun things like making sure you have the negative in the right place and remembering when you have to find the common denominator of your fractions.  Don't worry, I have the utmost confidence that you will do much better with arithmetic than Calvin. SPECIAL NOTE:  You need to go to all the links that are under each topic for arithmetic to get the full benefit.   The arithmetic area covers:

 Integers, Ordering and the Real Number Line, Absolute Value, Fractions, and Decimals Beginning Algebra Tutorial 2: Symbols and Sets of Numbers

 This tutorial covers: sets elements equal and inequality signs various sets of numbers including integers and real numbers Order Property for Real Numbers absolute value of a number Intermediate Algebra Tutorial 3: Sets of Numbers

 This tutorial covers: graphing a point on a real number line knowing what a set and an element are indicating if something is an element or is not an element of a set subsets roster set builder forms of sets the empty set and how to notate it identifying what numbers belong to the set of: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers finding the absolute value of a number finding the opposite of a number Beginning Algebra Tutorial 3: Fractions

 This tutorial covers: numerators and denominators of a fraction the prime factorization of a number simplifying a fraction finding the least common denominator of given fractions multiplying, dividing, adding and subtracting fractions Beginning Algebra Tutorial 5: Adding Real Numbers

 This tutorial covers: adding real numbers finding the additive inverse or the opposite of a number Keep in mind that real numbers include integers, fractions and decimals as well as other types of numbers. Beginning Algebra Tutorial 6: Subtracting Real Numbers

 This tutorial covers: subtracting real numbers Keep in mind that real numbers include integers, fractions and decimals as well as other types of numbers. Beginning Algebra Tutorial 7: Multiplying and Dividing Real Numbers

 This tutorial covers: finding the reciprocal of a number multiplying and dividing real numbers multiplying by zero the fact that dividing by zero is undefined Keep in mind that real numbers include integers, fractions and decimals as well as other types of numbers.

 Exponents and Square Roots Intermediate Algebra Tutorial 4: Operations on Real Numbers

 This tutorial covers: adding, subtracting, multiplying, and dividing real numbers evaluating a numeric exponential expression evaluating a numeric radical expression using the order of operations appropriately This is a good tutorial to review the topics covered above as well as teaching you about exponents and square roots.

 Percent Beginning Algebra Tutorial 16: Percent and Problem Solving

 This tutorial covers: converting percents into decimal numbers converting decimal numbers into percents solving word problems involving percents  pie charts with percents tables with percents Algebra

 It's back!!!!!!   Just when you thought it was safe to come back to school, POW, another math test with ALGEBRA!!!  I'm hoping that with this section of tutorials, I will convert some of you who are math atheists (you know who you are). SPECIAL NOTE: You need to go to all the links that are under each topic for Algebra to get the full benefit. Note that most of the topics under Algebra contain tutorials from three levels (lowest to highest): beginning, intermediate, and college. Ideally, for the Algebra section, you want to be able to work the college level by the time you take the GRE test.  There will be some overlapping between the levels.  If a topic has tutorials in more than one level, try going under the highest level first.  If that is too hard for you, go to the tutorials of the next level down, if available.  If that is too hard for you, go to the tutorials of the next level down, if available.  Once you find a level to start with, make sure that if it is below college level, in the end you work your way up to college algebra.  The beauty of this is it is individualized.  You can go at your own pace at the comfort of your own computer.  You know better than anyone else what your algebra skills are.    The algebra area covers:

 Operations with Algebraic Expressions Beginning Algebra Tutorial 11: Simplifying Algebraic Expressions

 This tutorial covers: combining like terms simplifying an expression using distributive property Beginning Algebra Tutorial 27: Adding and Subtracting Polynomials

 This tutorial covers: identifying a term, coefficient, constant term, and polynomial telling the difference between a monomial, binomial, and trinomial finding the degree of a term and polynomial combining like terms adding and subtracting polynomials Beginning Algebra Tutorial 28: Multiplying Polynomials

 This tutorial covers: multiplying any polynomial times any other polynomial using the FOIL method to multiply a binomial times a binomial Intermediate Algebra Tutorial 25: Polynomials and Polynomial Functions

 This tutorial covers: identifying a term, coefficient, constant term, and polynomial telling the difference between a monomial, binomial, and trinomial finding the degree of a term and polynomial evaluating a polynomial function combine like terms adding and subtracting polynomials Intermediate Algebra Tutorial 26: Multiplying Polynomials

 This tutorial covers: multiplying any polynomial times any other polynomial using the FOIL method to multiply a binomial times a binomial using special product rules to multiply a binomial squared and a product of a sum and difference of two terms College Algebra Tutorial 6: Polynomials

 This tutorial covers: identifying a term, coefficient, constant term, and polynomial telling the difference between a monomial, binomial, and trinomial finding the degree of a term and polynomial evaluating a polynomial function combining like terms adding and subtract polynomials multiplying any polynomial times any other polynomial using the FOIL method to multiply a binomial times a binomial using special product rules to multiply a binomial squared and a product of a sum and difference of two terms

 Factoring Intermediate Algebra Tutorial 27: The GCF and Factoring by Grouping

 This tutorial covers: finding the Greatest Common Factor (GCF) of a polynomial factoring out the GCF of a polynomial factoring a polynomial with four terms by grouping Intermediate Algebra Tutorial 28: Factoring Trinomials

 This tutorial covers: factoring trinomials factoring using substitution indicating if a polynomial is a prime polynomial Intermediate Algebra Tutorial 29: Factoring Special Products

 This tutorial covers: factoring a perfect square trinomial factoring a difference of squares factoring a sum or difference of cubes applying the factoring strategy to factor a polynomial completely College Algebra Tutorial 7: Factoring Polynomials

 This tutorial covers: finding the Greatest Common Factor (GCF) of a polynomial factoring out the GCF of a polynomial factoring a polynomial with four terms by grouping factoring a trinomial indicating if a polynomial is a prime polynomial factoring a perfect square trinomial factoring a difference of squares factoring a sum or difference of cubes applying the factoring strategy to factor a polynomial completely

 Solving Linear Equations Beginning Algebra Tutorial 12: Addition Property of Equality

 This tutorial covers: knowing what a linear equation is knowing if a value is a solution or not using the addition and subtraction properties of equalities to solve linear equations Beginning Algebra Tutorial 13: Multiplication Property of Equality

 This tutorial covers: using the multiplication and division properties of equalities to solve linear equations solving an equation using more than one property knowing how to express consecutive integers in terms of x, if the first integer is x knowing how to express even consecutive integers in terms of x, if the first even integer is x knowing how to express odd consecutive integers in terms of x, if the first odd integer is x Beginning Algebra Tutorial 14: Solving Linear Equations

 This tutorial covers: solving linear equations by using a combination of simplifying and various properties of equality Intermediate Algebra Tutorial 7: Linear Equations in One Variable

 This tutorial covers: knowing what a linear equation is knowing if a value is a solution or not using the addition, subtraction, multiplication, and division properties of equalities to solve linear equations knowing when an equation has no solution knowing when an equation has all real numbers as a solution College Algebra Tutorial 14: Linear Equations in One Variable

 This tutorial covers: knowing what a linear equation is knowing if a value is a solution or not using the addition, subtraction, multiplication, and division properties of equalities to solve linear equations knowing when an equation has no solution knowing when an equation has all real numbers as a solution

 Translating Words into Algebraic Expressions and Applications Beginning Algebra Tutorial 15: Introduction to Problem Solving

 This tutorial covers: using Polya's four step process to solve word problems involving numbers, rectangles, supplementary angles, and complementary angles Beginning Algebra Tutorial 17: Further Problem Solving

 This tutorial covers: using Polya's four step process to solve word problems involving geometry concepts, distance, mixtures and interest Intermediate Algebra Tutorial 2: Algebraic Expressions

 This tutorial covers: knowing what a variable is knowing what an algebraic expression is evaluating an algebraic expression given a value for a variable translating an English phrase into an algebraic expression Intermediate Algebra Tutorial 8: Introduction to Problem Solving

 This tutorial covers: using Polya's four step process to solve word problems involving numbers, percents, rectangles, supplementary angles, complementary angles, consecutive integers, and breaking even Intermediate Algebra Tutorial 9: Formulas and Problem Solving

 This tutorial covers: solving a formula for a given variable using Polya's four step process to solve word problems involving formulas College Algebra Tutorial 16: Formulas and Applications

 This tutorial covers: translating an English phrase into an algebraic expression using Polya's four step process to solve word problems solving a formula for a given variable

 Inequalities Beginning Algebra Tutorial 18: Solving Linear Inequalities

 This tutorial covers: using the addition, subtraction, multiplication, and division properties of inequalities to solve linear inequalities drawing a graph to give a visual answer to an inequality problem Intermediate Algebra Tutorial 10: Linear Inequalities

 This tutorial covers: using the addition, subtraction, multiplication, and division properties of inequalities to solve linear inequalities writing the answer to an inequality using interval notation drawing a graph to give a visual answer to an inequality problem College Algebra Tutorial 22: Linear Inequalities

 This tutorial covers: using the addition, subtraction, multiplication, and division properties of inequalities to solve linear inequalities solving linear inequalities involving absolute values writing the answer to an inequality using interval notation drawing a graph to give a visual answer to an inequality problem

 Coordinate Geometry Beginning Algebra Tutorial 20: The Rectangular Coordinate System

 This tutorial covers: plotting points on a rectangular coordinate system identifying what quadrant or axis a point lies on telling if an ordered pair is a solution of an equation in two variables or not completing an ordered pair that has one missing value Beginning Algebra Tutorial 21: Graphing Linear Equations

 This tutorial covers: recognizing when an equation in two variables is a linear equation graphing a linear equation Beginning Algebra Tutorial 22: Intercepts

 This tutorial covers: finding the x- and y-intercepts of a linear function graphing a linear function using the x- andy-intercepts graphing vertical and horizontal lines Beginning Algebra Tutorial 23: Slope

 This tutorial covers: finding the slope given a graph or two points knowing the relationship between slopes of parallel lines as well as slopes of perpendicular lines Intermediate Algebra Tutorial 12: Graphing Equations

 This tutorial covers: plotting points on a rectangular coordinate system identifying what quadrant or axis a point lies on knowing if an equation is a linear equation telling if an ordered pair is a solution of an equation in two variables or not graphing an equation by plotting points Intermediate Algebra Tutorial 14: Graphing Linear Equations

 This tutorial covers: finding the x- and y-intercepts of a linear function graphing a linear function using the x- and y-intercepts graphing vertical and horizontal lines Intermediate Algebra Tutorial 15: The Slope of a Line

 This tutorial covers: finding the slope given a graph, two points or an equation writing a linear equation in slope/intercept form determining if two lines are parallel, perpendicular, or neither College Algebra Tutorial 25: Slope of a Line

 This tutorial covers: knowing when a line rises, falls, is horizontal or is vertical finding the slope given two points on the line College Algebra Tutorial 27: Graphing Lines

 This tutorial covers: graphing a straight line using the y-intercept and slope graphing vertical and horizontal lines

 Rules of Exponents Beginning Algebra Tutorial 26: Exponents

 This tutorial covers: using the definition of exponents simplifying exponential expressions involving multiplying like bases, zero as an exponent, dividing like bases, raising a base to two exponents, raising a product to an exponent and raising a quotient to an exponent Intermediate Algebra Tutorial 23: Exponents and Scientific Notation Part I

 This tutorial covers: using the definition of exponents, simplifying exponential expressions involving multiplying like bases, zero as an exponent, dividing like bases, and negative exponents writing a number in scientific notation writing a number in standard notation, without exponents Intermediate Algebra Tutorial 24: Exponents and Scientific Notation Part II

 This tutorial covers: simplifying exponential expressions involving raising a base to two exponents, raising a product to an exponent and raising a quotient to an exponent multiplying and dividing numbers written in scientific notation College Algebra Tutorial 2: Integer Exponents

 This tutorial covers: using the definition of exponents simplifying exponential expressions involving multiplying like bases, zero as an exponent, dividing like bases, negative exponents, raising a base to two exponents, raising a product to an exponent and raising a quotient to an exponent College Algebra Tutorial 17: Quadratic Equations

 This tutorial covers: solving quadratic equations by factoring solving quadratic equations by the square root method solving quadratic equations by completing the square solving quadratic equations by using the quadratic formula finding the discriminant of a quadratic equation and use it to tell how many and what type of solutions the equation has Geometry

 Ahhhhh, a relief from algebra. This section covers the basics of geometry. You do not need to know how to do geometry proofs for the test - YEAH!!! After completing this section, you will be able to write funny little cartoons like this one (ha, ha - I just couldn't resist). SPECIAL NOTE: You need to go to all the links that are under each topic for Geometry to get the full benefit.   The geometry area covers:

 Lines, Angles, Polygons, Triangles, Quadrilaterals, and Circles Beginning Algebra Tutorial 33: Basic Geometry

 This tutorial covers: knowing what a line is identifying the different types of angles finding a complimentary angle to a given angle finding a supplementary angle to a given angle knowing what a polygon is knowing what a quadrilateral is identifying types of triangles finding the value of a corresponding angle or side given congruent figures finding the value of a corresponding angle or side given similar figures knowing the relationship of the angles formed when a transversal cuts through two parallel lines identifying parts of a circle

 Formulas for Two - and Three - Dimensional Figures Beginning Algebra Tutorial 32: Formulas

 This tutorial covers: solving a formula for a given variable solving problems involving formulas for two- and three- dimensional figures Data Analysis

 This is a very important area to know when going into graduate school. Most of you will be working on a thesis or a dissertation. No matter what field you are in you, chances are you will have to do data analysis on that work. I'm sure you will have better luck with probabilities than Frank and Ernest. SPECIAL NOTE: You need to go to all the links that are under each topic for Data Analysis to get the full benefit.   The data analysis area covers:

 Measures of Central Location, Measures of Dispersion, and Frequency Distributions Beginning Algebra Tutorial 34: Central Tendencies

 This tutorial covers: finding the mean, median, mode, range, standard deviation and frequency distribution of a list of values

 Counting, Permutations, and Combinations College Algebra Tutorial 55: The Fundamental Counting Principle

 This tutorial covers: using the Fundamental Counting Principle to determine the number of outcomes in a problem College Algebra Tutorial 56: Permutations

 This tutorial covers: using permutations to solve a counting problem involving order College Algebra Tutorial 57: Combinations

 This tutorial covers: using combinations to solve a counting problem involving groups

 Probability College Algebra Tutorial 58: Probability

 This tutorial covers: finding the probability of an empirical event finding a theoretical probability knowing when two events are mutually exclusive using basic properties of probability to find various probabilities knowing when two events are independent of each other knowing how to find the probability of the intersection of two independent events

 Data Representation and Interpretation Beginning Algebra Tutorial 9: Reading Graphs Beginning Algebra Tutorial 16: Percent and Problem Solving