Ә.Н.Шыныбеков. Алгебра 7-сынып, 2007
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Ә.Н.Шыныбеков
7-сынып
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Ә.Н.Шыныбеков. Алгебра 7-сынып, 2007
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Entries
56
Review of Grade 6 material
Problem
Page 4
Chapter I. Powers with natural and integer exponents
Theory
Page 11
1.1. Concept of a power with a natural exponent
Theory
Page 11
1.2. Multiplication and division of powers
Theory
Page 18
1.3. Raising a product, fraction and power to a power
Theory
Page 24
2. Power with an integer exponent
Theory
Page 29
2.1. Concept of a power with a negative integer exponent
Theory
Page 29
2.2. Properties of powers with integer exponents
Theory
Page 31
2.3. Scientific notation
Theory
Page 32
Chapter II. Monomials and polynomials
Theory
Page 37
1.1. Monomial and its standard form
Theory
Page 37
1.2. Multiplication of monomials. Raising monomials to a power
Theory
Page 38
2.1. Polynomial and its standard form
Theory
Page 43
2.2. Addition and subtraction of polynomials
Theory
Page 44
3.1. Product of a monomial and a polynomial
Theory
Page 50
3.2. Factoring out the common factor
Theory
Page 51
4.1. Multiplication of a polynomial by a polynomial
Theory
Page 60
4.2. Factoring a polynomial by grouping
Theory
Page 61
5. Graphs and properties of y = ax² and y = ax³
Theory
Page 69
5.1. Functions y = x² and y = x³ and their graphs
Theory
Page 70
5.2. Graphs of y = ax² and y = ax³
Theory
Page 76
Chapter III. Special product formulas
Theory
Page 81
1.1. Square of the sum of two expressions
Theory
Page 81
1.2. Square of the difference of two expressions
Theory
Page 82
2. Difference of squares of two expressions. Sum and difference of cubes
Theory
Page 87
2.1. Product of the difference and sum of two expressions
Theory
Page 87
2.2. Factoring the difference of squares
Theory
Page 88
2.3. Factoring the sum of cubes
Theory
Page 93
2.4. Factoring the difference of cubes
Theory
Page 94
3. Cube of the sum and cube of the difference of two expressions
Theory
Page 98
3.1. Cube of the sum of two expressions
Theory
Page 98
3.2. Cube of the difference of two expressions
Theory
Page 98
4. Transforming polynomial expressions
Theory
Page 104
4.1. Transforming a polynomial expression into a polynomial
Theory
Page 104
4.2. Applying different methods of factoring polynomials
Theory
Page 104
Chapter IV. Rational expressions
Theory
Page 109
1.1. Rational expressions
Theory
Page 109
1.2. Simplifying rational fractions
Theory
Page 110
2. Sum and difference of fractions
Theory
Page 117
2.1. Sum and difference of fractions with like denominators
Theory
Page 117
2.2. Adding and subtracting fractions with unlike denominators
Theory
Page 118
3. Multiplication and division of rational expressions
Theory
Page 126
3.1. Multiplication of fractions
Theory
Page 126
3.2. Division of one fraction by another
Theory
Page 127
3.3. Equivalent transformations of rational expressions
Theory
Page 133
4. The function y equal to k divided by x and its graph
Theory
Page 138
Chapter V. Frequency and probability
Theory
Page 144
1.1. Concept of a random event
Theory
Page 144
1.2. Frequency of a random event
Theory
Page 146
1.3. Estimating event probability from its frequency
Theory
Page 147
2. Absolute and relative errors
Theory
Page 152
2.1. Absolute error
Theory
Page 152
2.2. Relative error
Theory
Page 154
Review exercises for Grade 7 material
Problem
Page 158
Subject index
Other
Page 163
Answers
Answer
Page 165
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