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1. Variables, Real Numbers, and Mathematical Models 1.1 Introduction to Algebra: Variables and Mathematical Models 1.2 Fractions in Algebra 1.3 The Real Numbers 1.4 Basic Rules of Algebra Mid-Chapter Check Point Section 1.1–Section 1.4 1.5 Addition of Real Numbers 1.6 Subtraction of Real Numbers 1.7 Multiplication and Division of Real Numbers 1.8 Exponents and Order of Operations Chapter 1 Group Project Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Test 2.1 The Addition Property of Equality 2.2 The Multiplication Property of Equality 2.3 Solving Linear Equations 2.4 Formulas and Percents Mid-Chapter Check Point Section 2.1–Section 2.4 2.5 An Introduction to Problem Solving 2.6 Problem Solving in Geometry 2.7 Solving Linear Inequalities Chapter 2 Group Project Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Test Cumulative Review Exercises (Chapters 1–2) 3.1 Graphing Linear Equations in Two Variables 3.2 Graphing Linear Equations Using Intercepts 3.3 Slope 3.4 The Slope-Intercept Form of the Equation of a Line Mid-Chapter Check Point Section 3.1–Section 3.4 3.5 The Point-Slope Form of the Equation of a Line 3.6 Linear Inequalities in Two Variables Chapter 3 Group Project Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Test Cumulative Review Exercises (Chapters 1–3) 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by the Substitution Method 4.3 Solving Systems of Linear Equations by the Addition Method Mid-Chapter Check Point Section 4.1–Section 4.3 4.4 Problem Solving Using Systems of Equations 4.5 Systems of Linear Inequalities Chapter 4 Group Project Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Test Cumulative Review Exercises (Chapters 1–4) 5.1 Adding and Subtracting Polynomials 5.2 Multiplying Polynomials 5.3 Special Products 5.4 Polynomials in Several Variables Mid-Chapter Check Point Section 5.1–Section 5.4 5.5 Dividing Polynomials 5.6 Dividing Polynomials by Binomials 5.7 Negative Exponents and Scientific Notation Chapter 5 Group Project Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Test Cumulative Review Exercises (Chapters 1–5) 6.1 The Greatest Common Factor and Factoring By Grouping 6.2 Factoring Trinomials Whose Leading Coefficient Is 1 6.3 Factoring Trinomials Whose Leading Coefficient Is Not 1 Mid-Chapter Check Point Section 6.1–Section 6.3 6.4 Factoring Special Forms 6.5 A General Factoring Strategy 6.6 Solving Quadratic Equations By Factoring Chapter 6 Group Project Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Test Cumulative Review Exercises (Chapters 1–6) 7.1 Rational Expressions and Their Simplification 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with the Same Denominator 7.4 Adding and Subtracting Rational Expressions with Different Denominators Mid-Chapter Check Point Section 7.1–Section 7.4 7.5 Complex Rational Expressions 7.6 Solving Rational Equations 7.7 Applications Using Rational Equations and Proportions 7.8 Modeling Using Variation Chapter 7 Group Project Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Test Cumulative Review Exercises (Chapters 1–7) 8.1 Finding Roots 8.2 Multiplying and Dividing Radicals 8.3 Operations with Radicals Mid-Chapter Check Point Section 8.1–Section 8.3 8.4 Rationalizing the Denominator 8.5 Radical Equations 8.6 Rational Exponents Chapter 8 Group Project Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Test Cumulative Review Exercises (Chapters 1–8) 9.1 Solving Quadratic Equations by the Square Root Property 9.2 Solving Quadratic Equations by Completing the Square 9.3 The Quadratic Formula Mid-Chapter Check Point Section 9.1–Section 9.3 9.4 Imaginary Numbers as Solutions of Quadratic Equations 9.5 Graphs of Quadratic Equations 9.6 Introduction to Functions Chapter 9 Group Project Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Test Cumulative Review Exercises (Chapters 1–9) Appendix: Mean, Median, and Mode Table of Contents
2. Linear Equations and Inequalities in One Variable
3. Linear Equations and Inequalities in Two Variables
4. Systems of Linear Equations and Inequalities
5. Exponents and Polynomials
6. Factoring Polynomials
7. Rational Expressions
8. Roots and Radicals
9. Quadratic Equations and Introduction to Functions
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