It's back!!!!!! Just when you thought itwas safe to comeback to school, POW, another math test with ALGEBRA!!! I'm hopingthat with this section of tutorials, **Iwill convert some of you who are math atheists (you know who you are).** **SPECIALNOTE: ** Note that most of the topics under Algebra contain tutorials from threelevels (lowest to highest): beginning, intermediate, and college. **Ideally, for the Algebra section, you want to be ableto work thecollege level by the time you take the GRE test. ** There will be some overlapping between the levels. If a topichas tutorials in more than one level, try going under the highest levelfirst. If that is too hard for you, go to the tutorials of thenextlevel down, if available. If that is too hard for you, go to thetutorials of the next level down, if available. **Once you find a level to start with, make sure thatif it is belowcollege level, in the end you work your way up to college algebra. ** The beauty of this is it is **individualized**. You can **goat your own pace** at the comfort of your own computer. Youknowbetter than anyone else what your algebra skills are. **The algebra area covers:** | **Operations with ** **Algebraic Expressions** | **BeginningAlgebra Tutorial 11:** **SimplifyingAlgebraic Expressions** This tutorial covers: - combining like terms
- simplifying an expression using distributive property
| **BeginningAlgebra Tutorial 27: Addingand 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
| **BeginningAlgebra Tutorial 28: MultiplyingPolynomials** This tutorial covers: - multiplying any polynomial times any other polynomial
- using the FOIL method to multiply a binomial times a binomial
| **IntermediateAlgebra Tutorial 25: Polynomialsand 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
| **IntermediateAlgebra Tutorial 26: MultiplyingPolynomials** 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 aproductof a sum and difference of two terms
| **College AlgebraTutorial 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 aproductof a sum and difference of two terms
| **IntermediateAlgebra Tutorial 27: TheGCF 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
| **IntermediateAlgebra Tutorial 28: FactoringTrinomials** This tutorial covers: - factoring trinomials
- factoring using substitution
- indicating if a polynomial is a prime polynomial
| **IntermediateAlgebra Tutorial 29: FactoringSpecial 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
| **CollegeAlgebraTutorial 7: FactoringPolynomials** 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
| **BeginningAlgebra Tutorial 12: AdditionProperty 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 solvelinear equations | **BeginningAlgebra Tutorial 13: MultiplicationProperty of Equality** This tutorial covers: - using the multiplication and division properties of equalities to solvelinear 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* | **BeginningAlgebra Tutorial 14: SolvingLinear Equations** This tutorial covers: - solving linear equations by using a combination of simplifying andvariousproperties of equality
| **IntermediateAlgebra Tutorial 7: LinearEquations 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 divisionpropertiesof equalities to solve linear equations
- knowing when an equation has no solution
- knowing when an equation has all real numbers as a solution
| **College AlgebraTutorial 14: LinearEquations 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 divisionpropertiesof 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 AlgebraicExpressions andApplications** | **BeginningAlgebra Tutorial 15: Introductionto Problem Solving** This tutorial covers: - using Polya's four step process to solve word problems involvingnumbers,rectangles, supplementary angles, and complementary angles
| **BeginningAlgebra Tutorial 17: FurtherProblem Solving** This tutorial covers: - using Polya's four step process to solve word problems involvinggeometryconcepts, distance, mixtures and interest
| **IntermediateAlgebra Tutorial 2: AlgebraicExpressions** 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
| **IntermediateAlgebra Tutorial 8: Introductionto Problem Solving** This tutorial covers: - using Polya's four step process to solve word problems involvingnumbers,percents, rectangles, supplementary angles, complementary angles,consecutiveintegers, and breaking even
| **IntermediateAlgebra Tutorial 9: Formulasand Problem Solving** This tutorial covers: - solving a formula for a given variable
- using Polya's four step process to solve word problems involvingformulas
| **College AlgebraTutorial 16: FormulasandApplications** 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
| **BeginningAlgebra Tutorial 18: SolvingLinear Inequalities** This tutorial covers: - using the addition, subtraction, multiplication, and divisionpropertiesof inequalities to solve linear inequalities
- drawing a graph to give a visual answer to an inequality problem
| **IntermediateAlgebra Tutorial 10: LinearInequalities** This tutorial covers: - using the addition, subtraction, multiplication, and divisionpropertiesof 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 AlgebraTutorial 22: LinearInequalities** This tutorial covers: - using the addition, subtraction, multiplication, and divisionpropertiesof 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
| **BeginningAlgebra Tutorial 20: TheRectangular 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 twovariablesor not
- completing an ordered pair that has one missing value
| **BeginningAlgebra Tutorial 21: GraphingLinear Equations** This tutorial covers: - recognizing when an equation in two variables is a linear equation
- graphing a linear equation
| **BeginningAlgebra Tutorial 22: Intercepts** This tutorial covers: - finding the
*x*- and *y*-interceptsof a linear function - graphing a linear function using the
*x*-and *y*-intercepts - graphing vertical and horizontal lines
| **BeginningAlgebra 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 asslopesof perpendicular lines
| **IntermediateAlgebra Tutorial 12: GraphingEquations** 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 twovariablesor not
- graphing an equation by plotting points
| **IntermediateAlgebra Tutorial 14: GraphingLinear Equations** This tutorial covers: - finding the
*x*- and *y*-interceptsof a linear function - graphing a linear function using the
*x*-and *y*-intercepts - graphing vertical and horizontal lines
| **IntermediateAlgebra Tutorial 15: TheSlope 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 AlgebraTutorial 25: Slope ofa 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 AlgebraTutorial 27: GraphingLines** This tutorial covers: - graphing a straight line using the
*y*-interceptand slope - graphing vertical and horizontal lines
| **BeginningAlgebra Tutorial 26: Exponents** This tutorial covers: - using the definition of exponents
- simplifying exponential expressions involving multiplying like bases,zeroas an exponent, dividing like bases, raising a base to two exponents,raisinga product to an exponent and raising a quotient to an exponent
| **IntermediateAlgebra Tutorial 23: Exponentsand Scientific Notation Part I** This tutorial covers: - using the definition of exponents, simplifying exponential expressionsinvolving multiplying like bases, zero as an exponent, dividing likebases,and negative exponents
- writing a number in scientific notation
- writing a number in standard notation, without exponents
| **IntermediateAlgebra Tutorial 24: Exponentsand Scientific Notation Part II** This tutorial covers: - simplifying exponential expressions involving raising a base to twoexponents,raising a product to an exponent and raising a quotient to an exponent
- multiplying and dividing numbers written in scientific notation
| **College AlgebraTutorial 2: IntegerExponents** This tutorial covers: - using the definition of exponents
- simplifying exponential expressions involving multiplying like bases,zeroas an exponent, dividing like bases, negative exponents, raising a baseto two exponents, raising a product to an exponent and raising aquotientto an exponent
| **Solving Quadratic Equations** | **College AlgebraTutorial 17: QuadraticEquations** 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 howmany and what type of solutions the equation has
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