Ә.Н.Шыныбеков, Д.Ә.Шыныбеков, Р.Н.Жұмабаев. Алгебра 9-сынып, 2019

Foreword

Review of Grade 8 material

Section 1. Equations and inequalities in two variables and their systems

1.1. Equations in two variables and their geometric meaning

1.2. Solving systems of nonlinear equations in two variables

1.3. Word problems solved by forming systems of equations

1.4. Inequalities in two variables

Section 2. Elements of combinatorics

2.1. Addition rule

2.2. Multiplication rule

2.3. Arrangements with repetition

2.4. Arrangements without repetition. Permutations

2.5. Combinations without repetition

2.6. Newton's binomial theorem and its properties

Section 3. Sequences

3.1. Concept of a numerical sequence

3.2. Principle of mathematical induction

3.3. Arithmetic progression. Formula for the nth term of an arithmetic progression

3.4. Geometric progression. Formula for the nth term of a geometric progression

3.5. Formulas for the sums of the first n terms of arithmetic and geometric progressions

3.6. Infinite decreasing geometric progression

Section 4. Trigonometry

4.1. Degree and radian measures of an angle and an arc

4.2. Definition of trigonometric functions

4.3. Properties of trigonometric functions

4.4. Reduction formulas

4.5. Trigonometric formulas

Section 5. Elements of probability theory

5.1. Foundations of probability theory

5.2. Geometric probability

Section 6. Review exercises for Grade 7–9 course material

Review materials

Answers