Mordkovich A.G. Algebra. 9 klass, zadachnik (2002)(ru)(L)(T)(72s)_MSch_

Preface for the teacher

Review problems

Chapter 1. Inequalities and systems of inequalities

§ 1. Linear and quadratic inequalities

§ 2. Rational inequalities

§ 3. Systems of rational inequalities

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Chapter 2. Systems of equations

§ 4. Basic concepts

§ 5. Methods for solving systems of equations

§ 6. Systems of equations as mathematical models of real situations

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Chapter 3. Numerical functions

§ 7. Definition of a numerical function. Domain and range of a function

§ 8. Ways of defining functions

§ 9. Properties of functions

§ 10. Even and odd functions

§ 11. Functions y = x^n, n ∈ N, their properties and graphs

§ 12. Functions y = x^(-n), n ∈ N, their properties and graphs

§ 13. How to construct the graph of y = mf(x) if the graph of y = f(x) is known

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Chapter 4. Progressions

§ 14. Numerical sequences

§ 15. Arithmetic progression

§ 16. Geometric progression

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Chapter 5. Elements of the theory of trigonometric functions

§ 17. Number circle

§ 18. Number circle on the coordinate plane

§ 19. Sine and cosine. Tangent and cotangent

§ 20. Trigonometric functions of a numerical argument

§ 21. Trigonometric functions of an angular argument

§ 22. Functions y = sin x and y = cos x, their properties and graphs

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Answers