Solving algebraic equations

The database of the EMTeachline Mathematics Software contains approximately 5 000 000 of math problems. Math problems are graded in 11 difficulty classes and cover all skill levels from basic through advanced. The software modules are organized by subject. Covered subject areas are Arithmetic, Pre-algebra, Algebra I and II, Trigonometry and Hyperbolic Trigonometry. The Arithmetic and Pre-Algebra modules offer tasks on simplification and evaluation of numeric expressions, including fractional expressions, computational problems, proofs of numeric equalities. The Algebra modules offer simplification and evaluation problems, proofs of algebraic identities and inequalities, solutions of algebraic equations and inequalities; included are linear, quadratic, cubic, reciprocal, biquadratic and fractional expressions. The Trigonometry and Hyperbolic Trigonometry modules offer simplification and evaluation problems, proofs of trigonometric and hyperbolic identities, and solutions of trigonometric and hyperbolic equations; included are all the basic and inverse trigonometric and hyperbolic functions. All problems are solved or proved in full detail. Each module allows employing the database for development of math tests, quizzes, exams, revision exercises and homeworks. Currently available themes, chapters and sections, together with those in preparation, are listed below. Our free online demos allow viewing math examples online.

• Linear equations.Elementary linear equations

• Linear equations.Linear equations containing fractions

• Linear equations.Linear equations. Distributive law

• Linear equations.Equations reduced to linear equations. Formulas of short multiplication

• Linear equations.Linear equations. Formulas of short multiplication. Cubes

• Linear equations.Linear equations. Properties of powers

• Linear equations.Equations reduced to linear equations

• Linear equations.Homographic equations with rational coefficients. Properties of fractions

• Linear equations.Homographic equations with integer coefficients. Properties of fractions

• Linear equations.Homographic equations with integer coefficients. Method of substitution

• Linear equations.Homographic equations with rational coefficients. Method of substitution

• Linear equations.Linear equations. Factorization of quadratic trinomial

• Linear equations.Equations reduced to linear. Method of substitution. Distributive law

• Linear equations.Equations reduced to linear. Method of substitution. Distributive law. Formulas of short multiplication

• Linear equations.Equations reduced to linear. Method of substitution. Properties of powers

• Linear equations.Equations reduced to linear. Method of substitution. Decomposition of quadratic trinomial

• Linear equations.Equations reduced to linear. Properties of fractions. Distributive law

• Linear equations.Equations reduced to linear. Properties of fractions. Formulas of short multiplication

• Linear equations.Equations reduced to linear. Properties of fractions. Properties of powers

• Linear equations.Equations reduced to linear. Properties of fractions. Factorization of quadratic trinomial

• Quadratic equations.Elementary quadratic equations

• Quadratic equations.Quadratic equations containing fractions

• Quadratic equations.Equations with integer coefficients. Distributive law

• Quadratic equations.Quadratic equations. Formulas of short multiplication

• Quadratic equations.Quadratic equations with rational coefficients. Distributive law

• Quadratic equations.Equations reduced to quadratic. Factorization of quadratic trinomial

• Quadratic equations.Equations reduced to quadratic. Properties of powers

• Quadratic equations.Fractional algebraic equations reduced to quadratic equations. Distributive law

• Quadratic equations.Equations. Grouping method

• Quadratic equations.Equations. Method of substitution. Distributive law. Integer coefficients

• Quadratic equations.Equations. Method of substitution. Distributive law. Rational coefficients

• Quadratic equations.Equations. Method of substitution. Formulas of short multiplication

• Quadratic equations.Equations. Method of substitution. Properties of fractions

• Quadratic equations.Equations. Method of substitution. Grouping method

• Quadratic equations.Equations. Method of substitution. Factorization of quadratic trinomial

• Quadratic equations.Fractional equations. Method of substitution. Distributive law

• Quadratic equations.Fractional equations reduced to quadratic equations. Method of substitution

• Quadratic equations.Fractional equations. Method of substitution. Formulas of short multiplication

• Quadratic equations.Fractional algebraic equations reduced to quadratic equations. Formulas of short multiplication

• Cubic equations.Cubic equations in reduced form

• Cubic equations.Cubic equations in general form

• Cubic equations.Equations reduced to cubic. Formulas of short multiplication

• Algebraic equations. Method of substitution.Elementary biquadratic equations

• Algebraic equations. Method of substitution.Algebraic equations reduced to biquadratic equations

• Algebraic equations. Method of substitution.Algebraic equations. Linear substitution

• Algebraic equations. Method of substitution.Algebraic equations. Quadratic substitution

• Algebraic equations. Method of substitution.Reciprocal equations

• Algebraic equations. Method of substitution.Algebraic equations reduced to reciprocal

• Algebraic high-degree equations.High-degree equations. Bezout theorem. Integer roots

• Algebraic high-degree equations.High-degree equations. Bezout theorem. Irrational roots

• Algebraic high-degree equations.High-degree equations reduced to the form allowing application of the Bezout theorem. Integer roots

• Algebraic high-degree equations.High-degree equations. Grouping method

• Algebraic high-degree equations.High-degree equations. Perfect square

• Algebraic high-degree equations.High-degree equations reduced to the form allowing application of the Bezout theorem. Irrational roots

• Algebraic high-degree equations.High-degree equations. Formulas of short multiplication

• Algebraic high-degree equations.High-degree equations. Difference of squares

• Algebraic high-degree equations.High-degree equations. Factorization of quadratic trinomial

• Algebraic high-degree equations.High-degree equations. Properties of fractions

• Algebraic high-degree equations.High-degree equations. Difference and sum of cubes

• Algebraic high-degree equations.High-degree equations. Method of substitution

• Fractional algebraic equations.Elementary fractional algebraic equations

• Fractional algebraic equations.Fractional algebraic equations reduced to linear equations

• Fractional algebraic equations.Fractional algebraic equations reduced to quadratic equations

• Fractional algebraic equations.Fractional algebraic equations reduced to cubic equations

• Fractional algebraic equations.Fractional algebraic equations reduced to biquadratic equations

• Fractional algebraic equations.Fractional algebraic equations reduced to reciprocal equations

• Fractional algebraic equations.Fractional algebraic equations reduced to quadratic equations. Method of substitution

• Fractional algebraic equations.Fractional algebraic equations. Method of substitution