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 Formx² +bx+ c
5.4 Trinomial Factoring of the Formax² +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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