А.Е.Әбілқасымова. Алгебра 9-сынып, 2005

Preface

Chapter I. Equations, inequalities and their systems

§ 1. Linear equation in two variables and its graph

§ 2. System of nonlinear equations in two variables

§ 3. Solving problems by forming a system of equations

§ 4. System of inequalities in one variable

§ 5. Nonlinear equations in two variables and their solutions

§ 6. Inequalities in two variables

§ 7. Solving a system of inequalities in two variables

§ 8. Proving inequalities

Chapter II. Progressions

§ 9. Concept of a sequence

§ 10. Ways of defining sequences

§ 11. Arithmetic progression

§ 12. Sum of the first n terms of an arithmetic progression

§ 13. Geometric progression

§ 14. Formula for the sum of the first n terms of a geometric progression

§ 15. Sum of an infinite decreasing geometric progression

§ 16. Mathematical induction

Chapter III. Trigonometric expressions and their transformations

§ 17. Generalization of the concept of angle

§ 18. Degree and radian measures of an angle

§ 19. Trigonometric functions of any angle

§ 20. Properties of trigonometric functions

§ 21. Fundamental trigonometric identities

§ 22. Applying fundamental trigonometric identities to transform expressions

§ 23. Reduction formulas

§ 24. Addition formulas

§ 25. Double-angle formulas

§ 26. Trigonometric functions of a half-angle

§ 27. Transforming products of trigonometric functions into sums

§ 28. Transforming sums and differences of trigonometric functions into products

Chapter IV. Elements of probability theory

§ 29. Combinatorics

§ 30. Random event. Event as an outcome of a trial

§ 31. Probability of an event

§ 32. Operations on events

§ 33. Product of events

Exercises for reviewing the algebra course

Historical information

Interesting problems

7–9-сыныптарға арналған тестер жинағы

Brief theoretical information on the Grade 7–9 algebra course

Answers