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Parameters of the program
Name of program:  EMSolution_Algebra 
Number of problems:  70698 
Number of similar variants:  12 
Languages of interface:  English 
Languages of translation:  English 
Bookish equivalent :  729 volumes, 300 pages each 
Price:  459 EUR 
Size of archive:  5035 kb 
Date:  30.2.03 
70698 algebraic problems with problemsolving lessons. Algebra 1 and Algebra 2 levels. Linear, quadratic, cubic, reciprocal, highdegree and complex fractional expressions. Transformation, simplification and evaluation of expressions. Proofs of identities. Solutions of equations and inequalities. Related definitions, formulations and formulas proofs. Option of translation enabling learning mathematics lexicon in a foreign language. Authoring options allowing sorting of problems by complexity levels, types of tasks and solution methods. Option enabling fast creation of problem solving lesson plans and didactic materials. Options enabling easy development of tests, quizzes and exams. Automatic generation of (similar) variants of tests on the basis of a created examplary test. Dozens of ready tests. Viewing and storing solutions in MathML format. If you are a math student – observe problem solution step by step by step, learn related concepts, study solution methods and in parallel, learn math lexicon in a foreign language! If you are a math teacher – shorten your preparation for the lessons and save your time for better purposes!
Characteristics of similar programs
Name of program  Main functions  Number of problems  Size of archive  Price EUR  Order 
EMTask_Algebra EMTask_Algebra_short  Problembook with answers, MathML solutions and test authoring tools  70698 35254  4350 kb 3355 kb  158 112  Order now Order now 
EMSolution_Algebra EMSolution_Algebra_short  Problemsolving lessons with handson tutorials and test authoring tools  70698 35254  5035 kb 4039 kb  459 275  Order now Order now 
EMMentor_Algebra EMMentor_Algebra_short  Problemsolving lessons with handson tutorials, interactive training techniques, lexical functions and test authoring tools  28939 9440  0 kb 0 kb  507 253  In preparation In preparation 
Rational expressions. Computational problems 
Chapters  Sections 
Evaluation of linear expressions and expressions reduced to them   Elementary linear expressions. Evaluation
 Elementary linear expressions containing fractions. Evaluation
 Linear expressions. Distributive law. Evaluation
 Linear expressions. Formulas of short multiplication. Evaluation
 Linear expressions. Formulas of short multiplication. Cubes. Evaluation
 Linear expressions. Properties of powers. Evaluation
 Expressions reduced to linear expressions. Evaluation
 Fractional expressions reduced to linear expressions. Evaluation
 Fractional expressions. Properties of fractions. Rational coefficients. Evaluation
 Fractional expressions. Properties of fractions. Integer coefficients. Evaluation
 Fractional expressions. Method of substitution. Integer coefficients. Evaluation
 Fractional expressions. Method of substitution. Rational coefficients. Evaluation
 Linear expressions. Factorization of quadratic trinomial. Evaluation
 Linear expressions. Method of substitution. Distributive law. Evaluation
 Linear expressions. Method of substitution. Formulas of short multiplication. Evaluation
 Linear expressions. Properties of fractions. Distributive law. Evaluation
 Linear expressions. Properties of fractions. Formulas of short multiplication. Evaluation

Evaluation of quadratic expressions and expressions reduced to them   Elementary quadratic expressions. Evaluation
 Quadratic expressions containing fractions. Evaluation
 Expressions reduced to quadratic. Distributive law. Integer coefficients. Evaluation
 Expressions reduced to quadratic. Formulas of short multiplication. Evaluation
 Expressions reduced to quadratic. Distributive law. Rational coefficients. Evaluation
 Expressions reduced to quadratic. Factorization of quadratic trinomial. Evaluation
 Expressions reduced to quadratic. Properties of powers. Evaluation
 Expressions reduced to quadratic. Grouping method. Evaluation
 Expressions reduced to quadratic. Method of substitution. Distributive law. Integer coefficients. Evaluation
 Expressions reduced to quadratic. Method of substitution. Distributive law. Rational coefficients. Evaluation
 Expressions reduced to quadratic. Method of substitution. Formulas of short multiplication. Integer coefficients. Evaluation
 Expressions reduced to quadratic. Method of substitution. Formulas of short multiplication. Rational coefficients. Evaluation
 Expressions reduced to quadratic. Method of substitution. Factorization of quadratic trinomial. Evaluation

Evaluation of algebraic highdegree expressions   Algebraic highdegree expressions. Bezout theorem. Integer roots. Evaluation
 Algebraic highdegree expressions. Bezout theorem. Irrational roots. Evaluation
 Algebraic highdegree expressions. Bezout theorem. Integer roots. Evaluation
 Algebraic highdegree expressions. Grouping method. Evaluation
 Algebraic highdegree expressions. Perfect square. Evaluation
 Algebraic highdegree expressions. Bezout theorem. Irrational roots. Evaluation
 Algebraic highdegree expressions. Formulas of short multiplication. Evaluation
 Algebraic highdegree expressions. Difference of squares. Evaluation
 Algebraic highdegree expressions. Factorization of quadratic trinomial. Evaluation
 Algebraic highdegree expressions. Properties of fractions. Evaluation
 Algebraic highdegree expressions. Difference and sum of cubes. Evaluation

Evaluation of fractional algebraic expressions   Elementary fractional algebraic expressions. Evaluation
 Fractional algebraic expressions reduced to a fraction with linear expression in numerator. Evaluation
 Fractional algebraic expressions reduced to a fraction with quadratic expression in numerator. Evaluation
 Fractional algebraic expressions reduced to a fraction with cubic expression in numerator. Evaluation
 Fractional algebraic expressions reduced to a fraction with biquadratic expression in numerator. Evaluation
 Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator. Evaluation

Comparison of values of linear expressions and expressions reduced to them   Elementary linear inequalities
 Elementary linear inequalities containing fractions
 Linear inequalities. Distributive law
 Linear inequalities. Formulas of short multiplication
 Linear inequalities. Formulas of short multiplication. Cubes. Comparison of values
 Linear inequalities. Properties of powers. Comparison of values
 Inequalities reduced to linear inequalities. Comparison of values
 Fractional inequalities. Properties of fractions. Rational coefficients. Comparison of values
 Fractional inequalities. Properties of fractions. Integer coefficients. Comparison of values
 Fractional inequalities. Method of substitution. Integer coefficients. Comparison of values
 Fractional inequalities. Method of substitution. Rational coefficients. Comparison of values
 Linear inequalities. Factorization of quadratic trinomial. Comparison of values
 Linear inequalities. Method of substitution. Distributive law. Comparison of values
 Linear inequalities. Method of substitution. Formulas of short multiplication. Comparison of values
 Linear inequalities. Properties of fractions. Distributive law. Comparison of values
 Linear inequalities. Properties of fractions. Formulas of short multiplication. Comparison of values

Comparison of values of quadratic expressions and expressions reduced to them   Elementary quadratic expressions. Comparison
 Compare quadratic expressions containing fractions
 Compare expressions reduced to quadratic. Distributive law. Integer coefficients
 Compare expressions reduced to quadratic. Formulas of short multiplication
 Compare expressions reduced to quadratic. Distributive law. Rational coefficients
 Compare expressions reduced to quadratic. Factorization of quadratic trinomial
 Compare expressions reduced to quadratic. Properties of powers
 Compare expressions reduced to quadratic. Grouping method
 Compare expressions reduced to quadratic. Method of substitution. Distributive law. Integer coefficients
 Compare expressions reduced to quadratic. Method of substitution. Distributive law. Rational coefficients
 Compare expressions reduced to quadratic. Method of substitution. Formulas of short multiplication. Integer coefficients
 Compare expressions reduced to quadratic. Method of substitution. Formulas of short multiplication. Rational coefficients
 Compare expressions reduced to quadratic. Method of substitution. Factorization of quadratic trinomial

Comparison of values of algebraic highdegree expressions   Compare algebraic highdegree expressions. Bezout theorem. Irrational roots
 Compare algebraic highdegree expressions. Bezout theorem. Integer roots
 Compare algebraic highdegree expressions. Grouping method
 Compare algebraic highdegree expressions. Perfect square
 Compare algebraic highdegree expressions. Formulas of short multiplication
 Compare algebraic highdegree expressions. Difference of squares
 Compare algebraic highdegree expressions. Factorization of quadratic trinomial
 Compare algebraic highdegree expressions. Properties of fractions
 Compare algebraic highdegree expressions. Difference and sum of cubes

Comparison of values of fractional algebraic expressions   Compare fractional algebraic expressions reduced to a fraction with linear expression in numerator
 Compare fractional algebraic expressions reduced to a fraction with quadratic expression in numerator
 Compare fractional algebraic expressions reduced to a fraction with cubic expression in numerator
 Compare fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator

Rational expressions. Proofs of inequalities 
Chapters  Sections 
Proof of strict inequalities. Linear expressions and expressions reduced to them   Elementary linear inequalities
 Elementary linear inequalities containing fractions
 Linear inequalities. Distributive law
 Linear inequalities. Formulas of short multiplication
 Linear inequalities. Formulas of short multiplication. Cubes
 Linear inequalities. Properties of powers
 Inequalities reduced to linear inequalities
 Fractional inequalities. Properties of fractions. Rational coefficients
 Fractional inequalities. Properties of fractions. Integer coefficients
 Fractional inequalities. Method of substitution. Integer coefficients
 Fractional inequalities. Method of substitution. Rational coefficients
 Linear inequalities. Factorization of quadratic trinomial
 Linear inequalities. Method of substitution. Distributive law
 Linear inequalities. Method of substitution. Formulas of short multiplication
 Linear inequalities. Method of substitution. Properties of powers

Proof of strict inequalities. Quadratic expressions   Elementary quadratic inequalities
 Quadratic inequalities containing fractions
 Quadratic inequalities. Distributive law. Integer coefficients
 Quadratic inequalities. Grouping method
 Quadratic inequalities. Method of substitution. Distributive law. Integer coefficients
 Quadratic inequalities. Method of substitution. Distributive law. Rational coefficients
 Quadratic inequalities. Method of substitution. Formulas of short multiplication. Integer coefficients
 Quadratic inequalities. Method of substitution. Formulas of short multiplication. Rational coefficients
 Quadratic inequalities. Method of substitution. Grouping method
 Quadratic inequalities. Method of substitution. Factorization of quadratic trinomial
 Fractional inequalities. Method of substitution. Distributive law. Integer coefficients

Proof of strict inequalities. Algebraic highdegree expressions   High degrees. Bezout theorem. Standard problems. Integer roots
 High degrees. Bezout theorem. Reducible problems

Proof of strict inequalities. Fractional algebraic expressions   Fractional algebraic expressions reduced to a fraction with linear expression in numerator. To prove inequality
 Fractional algebraic expressions reduced to a fraction with quadratic expression in numerator. To prove inequality

Rational equations 
Chapters  Sections 
Linear equations   Elementary linear equations
 Linear equations containing fractions
 Linear equations. Distributive law
 Equations reduced to linear equations. Formulas of short multiplication
 Linear equations. Formulas of short multiplication. Cubes
 Linear equations. Properties of powers
 Equations reduced to linear equations
 Homographic equations with rational coefficients. Properties of fractions
 Homographic equations with integer coefficients. Properties of fractions
 Homographic equations with integer coefficients. Method of substitution
 Homographic equations with rational coefficients. Method of substitution
 Linear equations. Factorization of quadratic trinomial
 Equations reduced to linear. Method of substitution. Distributive law
 Equations reduced to linear. Method of substitution. Distributive law. Formulas of short multiplication

Quadratic equations   Elementary quadratic equations
 Quadratic equations containing fractions
 Equations with integer coefficients. Distributive law
 Quadratic equations. Formulas of short multiplication
 Quadratic equations with rational coefficients. Distributive law
 Equations reduced to quadratic. Factorization of quadratic trinomial
 Equations reduced to quadratic. Properties of powers
 Fractional algebraic equations reduced to quadratic equations. Distributive law
 Equations. Grouping method
 Equations. Method of substitution. Distributive law. Integer coefficients
 Equations. Method of substitution. Distributive law. Rational coefficients
 Equations. Method of substitution. Formulas of short multiplication
 Equations. Method of substitution. Properties of fractions
 Equations. Method of substitution. Grouping method
 Equations. Method of substitution. Factorization of quadratic trinomial
 Fractional equations. Method of substitution. Distributive law
 Fractional equations reduced to quadratic equations. Method of substitution
 Fractional equations. Method of substitution. Formulas of short multiplication
 Fractional algebraic equations reduced to quadratic equations. Formulas of short multiplication

Cubic equations   Cubic equations in reduced form
 Cubic equations in general form

Algebraic equations. Method of substitution   Elementary biquadratic equations
 Algebraic equations reduced to biquadratic equations
 Algebraic equations. Linear substitution
 Algebraic equations. Quadratic substitution
 Algebraic equations. Homographic substitution
 Reciprocal equations
 Algebraic equations reduced to reciprocal

Algebraic highpower equations   Highdegree equations. Bezout theorem. Integer roots
 Highdegree equations. Bezout theorem. Irrational roots
 Highdegree equations reduced to the form allowing application of the Bezout theorem. Integer roots
 Highdegree equations. Grouping method
 Highdegree equations. Perfect square
 Highdegree equations reduced to the form allowing application of the Bezout theorem. Irrational roots
 Highdegree equations. Formulas of short multiplication
 Highdegree equations. Difference of squares
 Highdegree equations. Factorization of quadratic trinomial
 Highdegree equations. Properties of fractions
 Highdegree equations. Difference and sum of cubes
 Highdegree equations. Method of substitution

Fractional algebraic equations   Elementary fractional algebraic equations
 Fractional algebraic equations reduced to linear equations
 Fractional algebraic equations reduced to quadratic equations
 Fractional algebraic equations reduced to cubic equations
 Fractional algebraic equations reduced to biquadratic equations
 Fractional algebraic equations reduced to reciprocal equations
 Fractional algebraic equations reduced to quadratic equations. Method of substitution
 Fractional algebraic equations. Method of substitution
