А.Бөленов, С.Елубаев. Алгебра 7-сынып, 1997

Chapter I. Expressions

§ 1. Algebraic expressions

1. Numerical expressions

2. Properties of operations on numbers

3. Algebraic expressions

4. Algebraic equalities and formulas

5. Power with a natural exponent and calculating its value using a calculator

§ 2. Transforming integral algebraic expressions

6. Concept of a monomial and polynomial

7. Like terms

8. Rules for expanding brackets

9. Addition and subtraction of integral algebraic expressions

10. Identical transformation of expressions

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Chapter II. Linear equations

§ 3. General information about equations

11. Equation and its solution

12. Equivalent equations

§ 4. First-degree equation with one unknown and methods of solving it

13. Linear equation with one unknown and its solution

14. Solving problems by forming an equation

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Chapter III. Multiplication and division of integral algebraic expressions

§ 5. Multiplication of integral algebraic expressions

15. Multiplication of powers with the same bases

16. Multiplication of monomials

17. Raising a power to a power

18. Raising a product to a power

19. Multiplying a monomial by a polynomial

20. Multiplying a polynomial by a polynomial

§ 6. Special product formulas

21. Product of the difference and sum of two expressions

22. Square of a sum and square of a difference of two expressions

23. Formula for the sum and difference of cubes

§ 7. Division of integral algebraic expressions

24. Division of powers with the same bases

25. Division of a monomial by a monomial

26. Division of a polynomial by a monomial

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Chapter IV. Factorization of polynomials

§ 8. Factorization

27. Concept of factoring polynomials

28. Taking out a common factor

§ 9. Factoring a polynomial using special product formulas

29. Factoring using the difference of squares of two expressions

30. Factoring using the square of a sum and square of a difference of two expressions

31. Factoring using formulas for the sum and difference of cubes of two expressions

§ 10. Factoring polynomials by various methods

32. Factoring by grouping

33. Factoring a polynomial using various methods

34. Factoring some polynomials

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Chapter V. Algebraic fractions

§ 11. Algebraic fractions and their properties

35. Algebraic fraction and its value

36. Fundamental property of an algebraic fraction

37. Reducing algebraic fractions

§ 12. Operations on algebraic fractions

38. Multiplication and division of algebraic fractions

39. Raising algebraic fractions to a power

40. Addition and subtraction of algebraic fractions with like denominators

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

41. Reducing algebraic fractions to a common denominator

42. Addition and subtraction of algebraic fractions with unlike denominators

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Chapter VI. Functions

§ 14. Function and its graph

43. Concept of a function

44. Graph of a function

§ 15. Linear function

45. Linear function and its graph

46. Direct proportional relationship

47. Relative position of graphs of linear functions

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Chapter VII. Systems of linear equations

§ 16. Equation with two variables and systems of equations

48. Linear equations in two variables

49. Graph of a linear equation in two variables

50. Systems of linear equations in two variables

§ 17. Methods for solving systems of linear equations

51. Graphical method for solving systems of equations

52. Substitution method

53. Addition method

54. Applications of systems of linear equations

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