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Some Common Symbols in the Book 1

Chapter 5 System of Linear Equations in Two Unknowns 2

5.1 System of Linear Equations in Two Unknowns 4

5.2 Solving a System of Linear Equations in Two Unknowns by Substitution 9

5.3 Solving a System of Linear Equations in Two Unknowns by Addition-subtraction 16

5.4 Examples for Solving a System of Linear Equations in Three Unknowns 24

5.5 Application of a System of Linear Equations 30

Have a Read The System of Linear Equations in Ancient China 39

Summary and Review 41

Review Exercise 5 43

Self-examination 5 47

Chapter 6 Linear Inequality in One Unknown ＆ a System of Linear Inequalities in One Unknown 48

6.1 Inequality and Its Basic Properties 50

6.2 The Solution Set to an Inequality 57

6.3 Linear Inequality in One Unknown and Its Solutions 60

Have a Read Inequalities with the Same Solution 66

6.4 System of Linear Inequalities in One Unknown and Its Solution 68

Summary and Review 73

Review Exercise 6 76

Self-examination 6 79

Chapter 7 Multiplication and Division of Integral Expressions 81

Ⅰ Multiplication of Integral Expressions 83

7.1 Multiplication of Powers with the Same Base 83

7.2 Involution of a Power and Involution of a Product 87

7.3 Multiplication of Monomials 92

7.4 Multiplication of a Monomial and a Polynomial 97

7.5 Multiplication of Polynomials 101

Ⅱ Multiplication Formula 107

7.6 Formula for the Difference of Squares 107

7.7 Formula for a Perfect Square 111

Have a Read About the Generalization of (a+b)2 116

Ⅲ Division of Integral Expressions 118

7.8 Division of Powers with the Same Base 118

7.9 Monomial Divided by a Monomial 125

7.10 Polynomial Divided by a Monomial 128

Summary and Review 131

Review Exercise 7 134

Self-examination 7 137

Appendix Ⅰ Answer Key 138

Appendix Ⅱ Some Terms in the Book with Chinese Translation 148