Mordkovich A.G. Algebra. 8 klass, uchebnik (2001)(ru)(L)(T)(112s)_MSch_

Preface for the teacher

Chapter 1. Algebraic fractions

§ 1. Basic concepts

§ 2. Fundamental property of an algebraic fraction

§ 3. Addition and subtraction of algebraic fractions with like denominators

§ 4. Addition and subtraction of algebraic fractions with unlike denominators

§ 5. Multiplication and division of algebraic fractions. Raising an algebraic fraction to a power

§ 6. Transformation of rational expressions

§ 7. First ideas about solving rational equations

Main results

Chapter 2. Quadratic function. The function y = k/x

§ 8. The function y = kx², its properties and graph

§ 9. The function y = k/x, its properties and graph

§ 10. How to construct the graph of y = f(x + l) if the graph of y = f(x) is known

§ 11. How to construct the graph of y = f(x) + m if the graph of y = f(x) is known

§ 12. How to construct the graph of y = f(x + l) + m if the graph of y = f(x) is known

§ 13. The function y = ax² + bx + c, its properties and graph

§ 14. Graphical solution of quadratic equations

Main results

Chapter 3. The function y = √x. Properties of the square root

§ 15. Concept of the square root of a non-negative number

§ 16. The function y = √x, its properties and graph

§ 17. Properties of square roots

§ 18. Transformation of expressions containing the operation of extracting a square root

Main results

Chapter 4. Quadratic equations

§ 19. Basic concepts

§ 20. Formulas for the roots of quadratic equations

§ 21. Rational equations

§ 22. Rational equations as mathematical models of real situations

§ 23. Another formula for the roots of a quadratic equation

§ 24. Vieta's theorem

§ 25. Irrational equations

Main results

Chapter 5. Real numbers

§ 26. Set of rational numbers

§ 27. Irrational numbers

§ 28. Set of real numbers

§ 29. Absolute value of a real number

§ 30. Approximate values of real numbers

§ 31. Power with a negative integer exponent

§ 32. Standard form of a positive number

Main results

Chapter 6. Inequalities

§ 33. Properties of numerical inequalities

§ 34. Solving linear inequalities

§ 35. Solving quadratic inequalities

§ 36. Studying a function for monotonicity

Main results