Ә.Н.Шыныбеков, Д.Ә.Шыныбеков, Р.Н.Жұмабаев. Алгебра 8-сынып, 2018
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Ә.Н.Шыныбеков
Д.Ә.Шыныбеков
Р.Н.Жұмабаев.
8-сынып
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Ә.Н.Шыныбеков, Д.Ә.Шыныбеков, Р.Н.Жұмабаев. Алгебра 8-сынып, 2018
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Entries
35
Foreword
Other
Page 3
Review of the Grade 7 algebra course
Problem
Page 4
Section 1. Square roots and irrational expressions
Theory
Page 16
1.1. Definition of a square root
Theory
Page 16
1.2. Concept of an irrational number
Theory
Page 23
1.3. Correspondence between real numbers and points on a line
Theory
Page 32
1.4. Properties of square roots
Theory
Page 38
1.5. Graph of the square-root function
Theory
Page 48
Additional problems for Section 1
Problem
Page 53
Section 2. Quadratic equations
Theory
Page 56
2.1. Quadratic equation and its roots
Theory
Page 56
2.2. Quadratic formula
Theory
Page 63
2.3. Vieta's theorem
Theory
Page 70
2.4. Properties of the roots of a quadratic equation
Theory
Page 77
2.5. Solving equations
Theory
Page 82
2.6. Rational equations. Word problems reducible to quadratic equations
Theory
Page 87
2.7. Solving systems of second-degree equations
Theory
Page 95
Additional problems for Section 2
Problem
Page 99
Section 3. Quadratic function
Theory
Page 102
3.1. Quadratic function and its graph
Theory
Page 102
3.2. Transformations of a function graph
Theory
Page 111
Section 4. Elements of statistics
Theory
Page 118
4.1. Graphical representation of a random sample
Theory
Page 118
4.2. Sample variance and standard deviation
Theory
Page 128
Section 5. Inequalities
Theory
Page 136
5.1. Proving inequalities
Theory
Page 136
5.2. Solving quadratic inequalities
Theory
Page 144
5.3. Solving rational inequalities
Theory
Page 154
6.1. Natural numbers. Divisibility tests
Theory
Page 160
6.2. Prime and composite numbers
Theory
Page 165
6.3. Greatest common divisor and least common multiple
Theory
Page 168
6.4. Division of integers with remainder
Theory
Page 173
6.5. Pigeonhole principle
Theory
Page 177
Exercises
Problem
Page 180
Subject index
Other
Page 189
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