**1. Real Numbers and Variables**

1.1 Addition of Real Numbers

1.2 Real Number Subtraction

1.3 Real Number Multiplication and Division

1.4 Indices

1.5 Sequence of Operations

1.6 Utilizing Distributive Property for Streamlining Algebraic Expressions

1.7 Merging Similar Terms

1.8 The Use of Substitution for the Evaluation of Algebraic Expressions and Formulas

1.9 Grouping Symbols

Organizer of Chapter 1

Review Questions of Chapter 1

Performance Test of Chapter 1: How Am I Doing?

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**2. Equations and Inequalities**

2.1 The Principle of Equality Addition

2.2 The Principle of Equality Multiplication

2.3 Simultaneous Usage of Addition and Multiplication Principles

2.4 Equation Solutions Involving Fractions

2.5. Formulas

2.6 Solving Inequalities with Single Variable

Organizer of Chapter 2

Review Questions of Chapter 2

Performance Test of Chapter 2: How Am I Doing?

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**3. Solution of Practical Problems**

3.1 Conversion of English Phrases to Algebraic Expressions

3.2 Use of Equations for Problem Solving

3.3 Problem Solving: Comparison

3.4 Problem Solving: Money Value and Percentages

3.5 Problem Solving Using Geometric Formulas

3.6 Problem Solving by Means of Inequalities

Chapter 3 Organizer

Chapter 3 Review Problems

How Am I Doing? Chapter 3 Test

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**4. Indexes and Multinomials**

4.1 Principles of Indexes

4.2 Negative Indexes and Scientific Representation

4.3 Basic Polynomial Operations

4.4 Polynomial Multiplication

4.5 Multiplication: Particular Cases

4.6 Polynomial Division

Chapter 4 Organizer

Chapter 4 Review Problems

How Am I Doing? Chapter 4 Test

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**5. Factorisation**

5.1 Elimination of Common Factor

5.2 Grouping Factorization

5.3 Trinomial Factoring of the Form*x*² +*bx*+ c

5.4 Trinomial Factoring of the Form*ax*² +*bx*+ c

5.5 Special Instances of Factorization

5.6. Brief Overview of Factorization

5.7 Equation Solving by Factorization of Quadratics

Chapter 5 Organizer

Chapter 5 Review Problems

How Am I Doing? Chapter 5 Test

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**6. Rational Expressions and Equations**

6.1 Rational Expression Simplification

6.2 Rational Expression Multiplication and Division

6.3 Addition and Subtraction of Rational Expressions

6.4 Complex Rational Expression Simplification

6.5 Equations with Rational Expressions Involvement

6.6 Ratio, Proportion, and other Practical Situations

Chapter 6 Organizer

Chapter 6 Review Problems

How Am I Doing? Chapter 6 Test

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**7. Graphing and Functions**

7.1 Rectangular Coordinate System

7.2 Linear Equation Graphing

7.3 Gradient of a Line

7.4 Line Equation Derivation

7.5 Graphing Linear Inequalities

7.6 Functions

Chapter 7 Organizer

Chapter 7 Review Problems

How Am I Doing? Chapter 7 Test

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**8. Equation Systems**

8.1 Solution of Equation Systems in Two Variables by Graphing

8.2 Solution of Equation Systems in Two Variables by Substitution Method

8.3 Solution of Equation Systems in Two Variables by Addition Method

8.4 Review of Equation System Solution Methods

8.5 Utilizing Equation Systems for Problem Solving

Chapter 8 Organizer

Chapter 8 Review Problems

How Am I Doing? Chapter 8 Test

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**9. Roots**

9.1 Square Root

9.2 Simplifying Radical Expressions

9.3 Addition and Subtraction of Radical Expressions

9.4 Multiplication of Radical Expressions

9.5 Division of Radical Expressions

9.6 Application of the Pythagorean Theorem and Radical Equations

9.7 Word Problems Involving Roots: Direct and Inverse Variation

Chapter 9 Organizer

Chapter 9 Review Problems

How Am I Doing? Chapter 9 Test

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** **

**10. Quadratic Equations**

10.1 Introduction to Quadratic Equations

10.2 Utilizing the Square Root Property and Completing the Square for Finding Solutions

10.3 Utilizing the Quadratic Formula for Finding Solutions

10.4 Quadratic Equation Graphing

10.5 Formulas and Practical Problems

Chapter 10 Organizer

Chapter 10 Review Problems

How Am I Doing? Chapter 10 Test

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