1182- Алгебра. 7кл._Колягин, Ткачева и др_2012 -319с
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Колягин Ю.М.
Колягин
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1182- Алгебра. 7кл._Колягин, Ткачева и др_2012 -319с
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Entries
62
Chapter I. Algebraic expressions
Theory
Page 6
Numerical expressions
Theory
Page 7
Algebraic expressions
Theory
Page 14
Algebraic equalities. Formulas
Theory
Page 19
Properties of arithmetic operations
Theory
Page 24
Rules for expanding brackets
Theory
Page 30
Exercises for Chapter I
Problem
Page 35
Chapter II. Equations with one unknown
Theory
Page 42
Equation and its roots
Theory
Page 43
Solving equations with one unknown reducible to linear equations
Theory
Page 47
Solving problems using equations
Problem
Page 54
Exercises for Chapter II
Problem
Page 60
Chapter III. Monomials and polynomials
Theory
Page 66
Power with a natural exponent
Theory
Page 67
Properties of powers with natural exponents
Theory
Page 74
Monomial. Standard form of a monomial
Theory
Page 83
Multiplication of monomials
Theory
Page 87
Polynomials
Theory
Page 90
Combining like terms
Theory
Page 94
Addition and subtraction of polynomials
Theory
Page 98
Multiplying a polynomial by a monomial
Theory
Page 102
Multiplying a polynomial by a polynomial
Theory
Page 105
Dividing a monomial and a polynomial by a monomial
Theory
Page 110
Exercises for Chapter III
Problem
Page 114
Chapter IV. Factorization of polynomials
Theory
Page 120
Taking the common factor out of brackets
Theory
Page 121
Grouping method
Theory
Page 125
Difference of squares formula
Theory
Page 129
Square of a sum. Square of a difference
Theory
Page 133
Using several methods of polynomial factorization
Theory
Page 139
Exercises for Chapter IV
Problem
Page 144
Chapter V. Algebraic fractions
Theory
Page 148
Algebraic fraction. Reducing fractions
Theory
Page 149
Reducing fractions to a common denominator
Theory
Page 155
Addition and subtraction of algebraic fractions
Theory
Page 159
Multiplication and division of algebraic fractions
Theory
Page 165
Combined operations with algebraic fractions
Theory
Page 169
Exercises for Chapter V
Problem
Page 172
Chapter VI. Linear function and its graph
Theory
Page 178
Rectangular coordinate system on a plane
Theory
Page 179
Function
Theory
Page 183
Function y = kx and its graph
Theory
Page 193
Linear function and its graph
Theory
Page 201
Exercises for Chapter VI
Problem
Page 206
Chapter VII. Systems of two equations with two unknowns
Theory
Page 214
First-degree equation with two unknowns. Systems of equations
Theory
Page 215
Substitution method
Theory
Page 221
Addition method
Theory
Page 226
Graphical method for solving systems of equations
Theory
Page 231
Solving problems using systems of equations
Problem
Page 237
Exercises for Chapter VII
Problem
Page 244
Chapter VIII. Elements of combinatorics
Theory
Page 250
Different combinations of three elements
Theory
Page 251
Table of variants and product rule
Theory
Page 258
Counting variants using graphs
Theory
Page 263
Exercises for Chapter VIII
Problem
Page 273
Exercises for reviewing the Grade 7 algebra course
Problem
Page 278
Advanced problems
Problem
Page 288
Recommended literature
Other
Page 292
Brief summary of the Grade 5-6 mathematics course
Other
Page 294
Answers
Answer
Page 303
Subject index
Other
Page 318
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