А.Әбілқасымова, И.Бекбоев. Алгебра 8-сынып, 2008

Preface

Chapter I. Square roots

§ 1. General concept of real numbers

§ 2. Definition of square root. Approximate values of square root

§ 3. Properties of the arithmetic square root

§ 4. Transforming expressions with square roots

§ 5. Function y = √x, its properties and graph

Test tasks

Historical information

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Chapter II. Quadratic equations

§ 6. Quadratic equation. Types of quadratic equations

§ 7. Formulas for roots of a quadratic equation

§ 8. Vieta's theorem

§ 9. Rational equations

§ 10. Equations reducible to quadratic equations

§ 11. Problems solved using quadratic equations

Test tasks

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Chapter III. Quadratic function

§ 12. Quadratic trinomial. Factoring a quadratic trinomial

§ 13. Definition of quadratic function. Functions y = ax² + n and y = a(x − m)²

§ 14. Graph of the function y = ax² + bx + c

Test tasks

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Chapter IV. Inequalities

§ 15. Quadratic inequality. Solving a quadratic inequality using the graph of a quadratic function

§ 16. Interval method

Test tasks

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Chapter V. First information about probability theory and mathematical statistics

§ 16. Concept of probability theory and mathematical statistics

§ 17. Grouping and analyzing statistical data

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Exercises for reviewing the Grade 8 algebra course

I. Calculations

II. Identical transformations

III. Equations

IV. Inequalities

V. Function and its graph

Subject index

Answers