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1. Algebra, Mathematical Models, and Problem Solving 1.1 Algebraic Expressions, Real Numbers, and Interval Notation 1.2 Operations with Real Numbers and Simplifying Algebraic Expressions 1.3 Graphing Equations 1.4 Solving Linear Equations Mid-Chapter Check Point Section 1.1—Section 1.4 1.5 Problem Solving and Using Formulas 1.6 Properties of Integral Exponents 1.7 Scientific Notation Chapter 1 Group Project Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Test 2.1 Introduction to Functions 2.2 Graphs of Functions 2.3 The Algebra of Functions Mid-Chapter Check Point Section 2.1—Section 2.3 2.4 Linear Functions and Slope 2.5 The Point-Slope Form of the Equation of a Line Chapter 2 Group Project Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Test Cumulative Review Exercises (Chapters 1—2) 3.1 Systems of Linear Equations in Two Variables 3.2 Problem Solving and Business Applications Using Systems of Equations 3.3 Systems of Linear Equations in Three Variables Mid-Chapter Check Point Section 3.1—Section 3.3 3.4 Matrix Solutions to Linear Systems 3.5 Determinants and Cramer's Rule Chapter 3 Group Project Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Test Cumulative Review Exercises (Chapters 1—3) 4. Inequalities and Problem Solving 4.1 Solving Linear Inequalities 4.2 Compound Inequalities 4.3 Equations and Inequalities Involving Absolute Value Mid-Chapter Check Point Section 4.1—Section 4.3 4.4 Linear Inequalities in Two Variables 4.5 Linear Programming Chapter 4 Group Project Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Test Cumulative Review Exercises (Chapters 1—4) 5.1 Introduction to Polynomials and Polynomial Functions 5.2 Multiplication of Polynomials 5.3 Greatest Common Factors and Factoring By Grouping 5.4 Factoring Trinomials Mid-Chapter Check Point Section 5.1—Section 5.4 5.5 Factoring Special Forms 5.6 A General Factoring Strategy 5.7 Polynomial Equations and Their Applications Chapter 5 Group Project Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Test Cumulative Review Exercises (Chapters 1—5) 6.1 Rational Expressions and Functions: Multiplying and Dividing 6.2 Adding and Subtracting Rational Expressions 6.3 Complex Rational Expressions 6.4 Division of Polynomials Mid-Chapter Check Point Section 6.1—Section 6.4 6.5 Synthetic Division and the Remainder Theorem 6.6 Rational Equations 6.7 Formulas and Applications of Rational Equations 6.8 Modeling Using Variation Chapter 6 Group Project Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Test Cumulative Review Exercises (Chapters 1—6) 7.1 Radical Expressions and Functions 7.2 Rational Exponents 7.3 Multiplying and Simplifying Radical Expressions 7.4 Adding, Subtracting, and Dividing Radical Expressions Mid-Chapter Check Point Section 7.1—Section 7.4 7.5 Multiplying with More Than One Term and Rationalizing Denominators 7.6 Radical Equations 7.7 Complex Numbers Chapter 7 Group Project Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Test Cumulative Review Exercises (Chapters 1—7) 8.1 The Square Root Property and Completing the Square 8.2 The Quadratic Formula 8.3 Quadratic Functions and Their Graphs Mid-Chapter Check Point Section 8.1—Section 8.3 8.4 Equations Quadratic in Form 8.5 Polynomial and Rational Inequalities Chapter 8 Group Project Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Test Cumulative Review Exercises (Chapters 1—8) 9.1 Exponential Functions 9.2 Composite and Inverse Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms Mid-Chapter Check Point Section 9.1—Section 9.4 9.5 Exponential and Logarithmic Equations 9.6 Exponential Growth and Decay; Modeling Data Chapter 9 Group Project Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Test Cumulative Review Exercises (Chapters 1—9) 10.1 Distance and Midpoint Formulas; Circles 10.2 The Ellipse 10.3 The Hyperbola Mid-Chapter Check Point Section 10.1—Section 10.3 10.4 The Parabola; Identifying Conic Sections 10.5 Systems of Nonlinear Equations in Two Variables Chapter 10 Group Project Chapter 10 Summary Chapter 10 Review Exercises Chapter 10 Test Cumulative Review Exercises (Chapters 1—10) 11. More on Polynomial and Rational Functions 11.1 Polynomial Functions and Their Graphs 11.2 Zeros of Polynomial Functions Mid-Chapter Check Point Section 11.1—Section 11.2 11.3 Rational Functions and Their Graphs Chapter 11 Group Project Chapter 11 Summary Chapter 11 Review Exercises Chapter 11 Test Cumulative Review Exercises (Chapters 1—11) 12. Sequences, Induction, and Probability 12.1 Sequences and Summation Notation 12.2 Arithmetic Sequences 12.3 Geometric Sequences and Series Mid-Chapter Check Point Section 12.1—Section 12.3 12.4 The Binomial Theorem 12.5 Mathematical Induction 12.6 Counting Principles, Permutations, and Combinations 12.7 Probability Chapter 12 Group Project Chapter 12 Summary Chapter 12 Review Exercises Chapter 12 Test Cumulative Review Exercises (Chapters 1—12) Appendix Where Did That Come From? Selected Proofs Table of Contents
2. Functions and Linear Functions
3. Systems of Linear Equations
5. Polynomials, Polynomial Functions, and Factoring
6. Rational Expressions, Functions, and Equations
7. Radicals, Radical Functions, and Rational Exponents
8. Quadratic Equations and Functions
9. Exponential and Logarithmic Functions
10. Conic Sections and Systems of Nonlinear Equations
Get Algebra for College Students, 8th Edition by Robert F. Blitzer, Miami Dade College
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