Mordkovich A.G. Algebra. 7 klass, zadachnik (2001)(ru)(T)(81s)_MSch_

Preface for the teacher

Chapter 1. Mathematical language. Mathematical model

§ 1. Numerical and algebraic expressions

§ 2. What is mathematical language

§ 3. What is a mathematical model

Chapter 2. Power with a natural exponent and its properties

§ 4. What is a power with a natural exponent

§ 5. Table of basic powers

§ 6. Properties of powers with natural exponents

§ 7. Multiplication and division of powers with equal exponents

§ 8. Power with zero exponent

Chapter 3. Monomials. Operations on monomials

§ 9. Concept of a monomial. Standard form of a monomial

§ 10. Addition and subtraction of monomials

§ 11. Multiplication of monomials. Raising a monomial to a natural power

§ 12. Division of a monomial by a monomial

Chapter 4. Polynomials. Operations on polynomials

§ 13. Basic concepts

§ 14. Addition and subtraction of polynomials

§ 15. Multiplication of a polynomial by a monomial

§ 16. Multiplication of a polynomial by a polynomial

§ 17. Special product formulas

§ 18. Division of a polynomial by a monomial

Chapter 5. Factorization of polynomials

§ 19. What factorization of polynomials is and why it is needed

§ 20. Taking out a common factor

§ 21. Grouping method

§ 22. Factorization of a polynomial using special product formulas

§ 23. Factorization of a polynomial using a combination of different methods

§ 24. Reducing algebraic fractions

§ 25. Identities

Chapter 6. Linear function

§ 26. Coordinate line

§ 27. Coordinate plane

§ 28. Linear equation in two variables and its graph

§ 29. Linear function and its graph

§ 30. Direct proportionality and its graph

§ 31. Relative position of graphs of linear functions

Chapter 7. The function y = x²

§ 32. The function y = x² and its graph

§ 33. Graphical solution of equations

§ 34. What the notation y = f(x) means in mathematics

Chapter 8. Systems of two linear equations in two variables

§ 35. Basic concepts

§ 36. Substitution method

§ 37. Method of algebraic addition

§ 38. Systems of two linear equations in two variables as mathematical models of real situations

Answers