EMSolution: Algebra

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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 problem-solving lessons. Algebra 1 and Algebra 2 levels. Linear, quadratic, cubic, reciprocal, high-degree 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!

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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 high-degree expressions
  • Algebraic high-degree expressions. Bezout theorem. Integer roots. Evaluation
  • Algebraic high-degree expressions. Bezout theorem. Irrational roots. Evaluation
  • Algebraic high-degree expressions. Bezout theorem. Integer roots. Evaluation
  • Algebraic high-degree expressions. Grouping method. Evaluation
  • Algebraic high-degree expressions. Perfect square. Evaluation
  • Algebraic high-degree expressions. Bezout theorem. Irrational roots. Evaluation
  • Algebraic high-degree expressions. Formulas of short multiplication. Evaluation
  • Algebraic high-degree expressions. Difference of squares. Evaluation
  • Algebraic high-degree expressions. Factorization of quadratic trinomial. Evaluation
  • Algebraic high-degree expressions. Properties of fractions. Evaluation
  • Algebraic high-degree 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 high-degree expressions
  • Compare algebraic high-degree expressions. Bezout theorem. Irrational roots
  • Compare algebraic high-degree expressions. Bezout theorem. Integer roots
  • Compare algebraic high-degree expressions. Grouping method
  • Compare algebraic high-degree expressions. Perfect square
  • Compare algebraic high-degree expressions. Formulas of short multiplication
  • Compare algebraic high-degree expressions. Difference of squares
  • Compare algebraic high-degree expressions. Factorization of quadratic trinomial
  • Compare algebraic high-degree expressions. Properties of fractions
  • Compare algebraic high-degree 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. Transformations and proofs
Chapters
Sections
Transformation of linear expressions and expressions reduced to them
  • Elementary linear expressions
  • Elementary linear expressions containing fractions
  • Linear expressions. Distributive law
  • Linear expressions. Formulas of short multiplication
  • Linear expressions. Formulas of short multiplication. Cubes
  • Linear expressions. Properties of powers
  • Expressions reduced to linear expressions
  • Fractional expressions. Properties of fractions. Rational coefficients
  • Fractional expressions. Properties of fractions. Integer coefficients
  • Fractional expressions. Method of substitution. Integer coefficients
  • Fractional expressions. Method of substitution. Rational coefficients
  • Linear expressions. Factorization of quadratic trinomial
  • Linear expressions. Method of substitution. Distributive law
  • Linear expressions. Method of substitution. Formulas of short multiplication
Transformation of quadratic algebraic expressions and expressions reduced to them
  • Elementary quadratic expressions
  • Quadratic expressions containing fractions
  • Quadratic expressions. Distributive law. Integer coefficients
  • Quadratic expressions. Formulas of short multiplication
  • Quadratic expressions. Distributive law. Rational coefficients
  • Quadratic expressions. Decomposition of quadratic trinomial
  • Quadratic expressions. Properties of powers
  • Quadratic expressions. Grouping method
  • Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
  • Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
  • Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients
  • Quadratic expressions. Method of substitution. Factorization of quadratic trinomial
  • Fractional expressions. Method of substitution. Distributive law. Integer coefficients
Transformation of algebraic high-degree expressions
  • High degrees. Bezout theorem. Standard problems. Integer roots
  • High degrees. Bezout theorem. Irrational roots
  • High degrees. Bezout theorem. Reducible problems. Integer roots
  • High degrees. Grouping method
  • High degrees. Perfect square
  • High degrees. Bezout theorem. Reducible problems. Irrational roots
  • High degrees. Formulas of short multiplication
  • High degrees. Difference of squares
  • High degrees. Factorization of quadratic trinomial
  • High degrees. Properties of fractions
  • High degrees. Difference and sum of cubes
Transformation of fractional algebraic expressions
  • Elementary fractional algebraic expressions
  • Fractional algebraic expressions reduced to a fraction with linear expression in numerator
  • Fractional algebraic expressions reduced to a fraction with quadratic expression in numerator
  • Fractional algebraic expressions reduced to a fraction with cubic expression in numerator
  • Fractional algebraic expressions reduced to a fraction with biquadratic expression in numerator
  • Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator
  • Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator. Method of substitution
Factorization of linear expressions and expressions reduced to them
  • Elementary linear expressions
  • Elementary linear expressions containing fractions
  • Linear expressions. Distributive law
  • Linear expressions. Formulas of short multiplication
  • Linear expressions. Formulas of short multiplication. Cubes
  • Linear expressions. Properties of powers
  • Expressions reduced to linear expressions
  • Fractional expressions. Properties of fractions. Rational coefficients
  • Fractional expressions. Properties of fractions. Integer coefficients
  • Fractional expressions. Method of substitution. Integer coefficients
  • Fractional expressions. Method of substitution. Rational coefficients
  • Linear expressions. Factorization of quadratic trinomial
  • Linear expressions. Method of substitution. Distributive law
  • Linear expressions. Method of substitution. Formulas of short multiplication
Factorization of quadratic expressions and expressions reduced to them
  • Elementary quadratic expressions
  • Quadratic expressions containing fractions
  • Quadratic expressions. Distributive law. Integer coefficients
  • Quadratic expressions. Formulas of short multiplication
  • Quadratic expressions. Distributive law. Rational coefficients
  • Quadratic expressions. Factorization of quadratic trinomial
  • Quadratic expressions. Properties of powers
  • Quadratic expressions. Grouping method
  • Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
  • Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
  • Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients
Factorization of algebraic high-degree expressions
  • High degrees. Grouping method
  • High degrees. Perfect square
  • High degrees. Formulas of short multiplication
  • High degrees. Difference of squares
  • High degrees. Factorization of quadratic trinomial
  • High degrees. Properties of fractions
  • High degrees. Difference and sum of cubes
Proof of identity. Linear expressions and expressions reduced to them
  • Elementary linear expressions
  • Elementary linear expressions containing fractions
  • Linear expressions. Distributive law
  • Linear expressions. Formulas of short multiplication
  • Linear expressions. Formulas of short multiplication. Cubes
  • Linear expressions. Properties of powers
  • Expressions reduced to linear expressions
  • Fractional expressions. Properties of fractions. Rational coefficients
  • Fractional expressions. Properties of fractions. Integer coefficients
  • Fractional expressions. Method of substitution. Integer coefficients
  • Fractional expressions. Method of substitution. Rational coefficients
  • Linear expressions. Factorization of quadratic trinomial
  • Linear expressions. Method of substitution. Distributive law
  • Linear expressions. Method of substitution. Formulas of short multiplication
  • Linear expressions. Properties of fractions. Distributive law
Proof of identity. Quadratic expressions and expressions reduced to them
  • Elementary quadratic expressions
  • Quadratic expressions containing fractions
  • Quadratic expressions. Distributive law. Integer coefficients
  • Quadratic expressions. Formulas of short multiplication
  • Quadratic expressions. Distributive law. Rational coefficients
  • Quadratic expressions. Factorization of quadratic trinomial
  • Quadratic expressions. Properties of powers
  • Quadratic expressions. Grouping method
  • Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
  • Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
  • Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients
  • Quadratic expressions. Method of substitution. Grouping method
  • Fractional expressions. Method of substitution. Distributive law. Integer coefficients
  • Fractional expressions. Method of substitution. Distributive law. Rational coefficients
Proof of identity. High-degree expressions
  • High degrees. Bezout theorem. Standard problems. Integer roots
  • High degrees. Bezout theorem. Irrational roots
  • High degrees. Bezout theorem. Reducible problems. Integer roots
  • High degrees. Grouping method
  • High degrees. Perfect square
  • High degrees. Bezout theorem. Reducible problems. Irrational roots
  • High degrees. Formulas of short multiplication
  • High degrees. Difference of squares
  • High degrees. Properties of fractions
Proof of identity. Fractional algebraic expressions
  • Elementary fractional algebraic expressions
  • Fractional algebraic expressions reduced to a fraction with linear expression in numerator
  • Fractional algebraic expressions reduced to a fraction with quadratic expression in numerator
  • Fractional algebraic expressions reduced to a fraction with cubic expression in numerator
  • Fractional algebraic expressions reduced to a fraction with biquadratic 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 high-degree 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 high-power equations
  • High-degree equations. Bezout theorem. Integer roots
  • High-degree equations. Bezout theorem. Irrational roots
  • High-degree equations reduced to the form allowing application of the Bezout theorem. Integer roots
  • High-degree equations. Grouping method
  • High-degree equations. Perfect square
  • High-degree equations reduced to the form allowing application of the Bezout theorem. Irrational roots
  • High-degree equations. Formulas of short multiplication
  • High-degree equations. Difference of squares
  • High-degree equations. Factorization of quadratic trinomial
  • High-degree equations. Properties of fractions
  • High-degree equations. Difference and sum of cubes
  • High-degree 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

Rational inequalities
Chapters
Sections
Weak linear inequalities
  • Elementary linear weak inequalities
  • Linear weak inequalities containing fractions
  • Homographic weak inequalities. Method of substitution. Rational coefficients
  • Linear weak inequalities. Distributive law
  • Weak inequalities reduced to linear inequalities. Formulas of short multiplication
  • Linear weak inequalities. Formulas of short multiplication. Cubes
  • Linear weak inequalities. Properties of fractions
  • Linear weak inequalities. Factorization of quadratic trinomial
  • Weak inequalities reduced to linear inequalities. Method of substitution. Distributive law
  • Weak inequalities reduced to linear inequalities. Method of substitution. Formulas of short multiplication
  • Weak inequalities reduced to linear inequalities. Method of substitution. Properties of powers
  • Linear weak inequalities. Properties of powers
  • Weak inequalities reduced to linear inequalities
  • Fractional weak inequalities reduced to linear inequalities
  • Homographic weak inequalities. Properties of fractions. Rational coefficients
  • Homographic weak inequalities. Properties of fractions. Integer coefficients
  • Homographic weak inequalities. Method of substitution. Integer coefficients
  • Weak inequalities reduced to linear inequalities. Method of substitution. Factorization of quadratic trinomial
  • Weak inequalities reduced to linear inequalities. Properties of fractions. Distributive law
  • Weak inequalities reduced to linear inequalities. Properties of fractions. Formulas of short multiplication
  • Weak inequalities reduced to linear inequalities. Properties of fractions. Properties of powers
  • Weak inequalities reduced to linear inequalities. Properties of fractions. Factorization of quadratic trinomial
Strict linear inequalities
  • Elementary strict linear inequalities
  • Strict linear inequalities containing fractions
  • Strict linear inequalities. Distributive law
  • Strict inequalities reduced to linear inequalities. Formulas of short multiplication
  • Strict inequalities reduced to linear inequalities. Formulas of short multiplication. Cubes
  • Strict linear inequalities. Properties of fractions
  • Strict linear inequalities. Properties of powers
  • Strict inequalities reduced to linear inequalities
  • Strict fractional inequalities reduced to linear inequalities
  • Strict homographic inequalities. Properties of fractions. Rational coefficients
  • Strict homographic inequalities. Properties of fractions. Integer coefficients
  • Strict homographic inequalities. Method of substitution. Integer coefficients
  • Strict homographic inequalities. Method of substitution. Rational coefficients
  • Strict linear inequalities. Factorization of quadratic trinomial
  • Strict inequalities reduced to linear inequalities. Method of substitution. Distributive law
  • Strict inequalities reduced to linear inequalities. Method of substitution. Formulas of short multiplication
  • Strict inequalities reduced to linear inequalities. Method of substitution. Properties of powers
  • Strict inequalities reduced to linear inequalities. Method of substitution. Factorization of quadratic trinomial
  • Strict inequalities reduced to linear inequalities. Properties of fractions. Distributive law
  • Strict inequalities reduced to linear inequalities. Properties of fractions. Formulas of short multiplication
  • Strict inequalities reduced to linear inequalities. Properties of fractions. Properties of powers
  • Strict inequalities reduced to linear inequalities. Properties of fractions. Factorization of quadratic trinomial
Strict quadratic inequalities
  • Elementary quadratic strict inequalities
  • Quadratic strict inequalities containing fractions
  • Strict inequalities. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Strict inequalities. Method of substitution. Distributive law. Rational coefficients
  • Strict inequalities. Distributive law. Integer coefficients
  • Strict inequalities. Formulas of short multiplication
  • Strict inequalities. Distributive law. Rational coefficients
  • Strict inequalities. Factorization of quadratic trinomial
  • Strict inequalities. Properties of powers
  • Fractional strict algebraic inequalities reduced to quadratic inequalities
  • Strict inequalities. Grouping method
  • Strict inequalities. Method of substitution. Distributive law. Integer coefficients
  • Strict inequalities. Method of substitution. Formulas of short multiplication. Rational coefficients
  • Fractional strict inequalities. Method of substitution. Distributive law. Integer coefficients
  • Fractional strict inequalities. Method of substitution. Distributive law. Rational coefficients
  • Fractional strict inequalities. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Fractional strict inequalities. Method of substitution. Formulas of short multiplication. Rational coefficients
Weak quadratic inequalities
  • Elementary quadratic weak inequalities
  • Quadratic weak inequalities containing fractions
  • Weak inequalities. Distributive law. Integer coefficients
  • Weak inequalities. Formulas of short multiplication
  • Weak inequalities. Distributive law. Rational coefficients
  • Weak inequalities. Factorization of quadratic trinomial
  • Weak inequalities. Properties of powers
  • Fractional algebraic weak inequalities reduced to quadratic inequalities
  • Weak inequalities. Grouping method
  • Weak inequalities. Method of substitution. Distributive law. Integer coefficients
  • Weak inequalities. Method of substitution. Distributive law. Rational coefficients
  • Weak inequalities. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Weak inequalities. Method of substitution. Formulas of short multiplication. Rational coefficients
  • Fractional weak inequalities. Method of substitution. Distributive law. Integer coefficients
  • Fractional weak inequalities. Method of substitution. Distributive law. Rational coefficients
  • Fractional weak inequalities. Method of substitution. Formulas of short multiplication. Integer coefficients
  • Fractional weak inequalities. Method of substitution. Formulas of short multiplication. Rational coefficients
Strict algebraic high-power inequalities
  • Strict high-degree inequalities. Bezout theorem. Integer roots
  • Strict high-degree inequalities. Bezout theorem. Irrational roots
  • Strict high-degree inequalities. Bezout theorem. Integer roots
  • Strict high-degree inequalities. Grouping method
  • Strict high-degree inequalities. Perfect square
  • Strict inequalities. Formulas of short multiplication
  • Strict inequalities. Difference of squares
  • Strict inequalities. Factorization of quadratic trinomial
  • Strict inequalities. Properties of fractions
  • Strict inequalities. Difference and sum of cubes
Weak algebraic high-power inequalities
  • Weak high-degree inequalities. Bezout theorem. Integer roots
  • Weak high-degree inequalities. Bezout theorem. Irrational roots
  • Weak high-degree inequalities. Bezout theorem. Integer roots
  • Weak high-degree inequalities. Grouping method
  • Weak high-degree inequalities. Perfect square
  • Weak inequalities. Formula of difference of squares
  • Weak inequalities. Factorization of quadratic trinomial
  • Weak inequalities. Properties of fractions
  • Weak inequalities. Difference and sum of cubes
Strict fractional inequalities
  • Elementary fractional strict algebraic inequalities
  • Strict fractional algebraic inequalities reduced to strict linear inequalities
  • Strict fractional algebraic inequalities reduced to strict quadratic inequalities
  • Strict fractional algebraic inequalities reduced to strict quadratic inequalities. Method of substitution
Weak fractional inequalities
  • Elementary fractional weak algebraic inequalities
  • Fractional weak algebraic inequalities reduced to linear inequalities
  • Fractional weak algebraic inequalities reduced to quadratic inequalities
  • Fractional weak algebraic inequalities reduced to quadratic inequalities. Method of substitution