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	LESSONS Lesson 1 Review of Basic Algebraic Concepts 1.1 Sets of Numbers and Interval Notation 1.2 Operations on Real Numbers 1.3 Simplifying Expressions 1.4 Linear Equations in One Variable 1.5 Applications of Linear Equations in One Variable 1.6 Literal Equations and Applications to Geometry 1.7 Linear Inequalities in One Variable 1.8 Properties of Integer Exponents and Scientific Notation Lesson 2 Linear Equations in Two Variables 2.1 The Rectangular Coordinate System and Midpoint Formula 2.2 Linear Equations in Two Variables 2.3 Slope of a Line 2.4 Equations of a Line 2.5 Applications of Linear Equations and Graphing Lesson 3 Systems of Linear Equations 3.1 Solving Systems of Linear Equations by Graphing 3.2 Solving Systems of Equations by Using the Substitution Method 3.3 Solving Systems of Equations by Using the Addition Method 3.4 Applications of Systems of Linear Equations in Two Variables 3.5 Systems of Linear Equations in Three Variables and Applications 3.6 Solving Systems of Linear Equations by Using Matrices 3.7 Determinants and Cramer�s Rule Lesson 4 Introduction to Relations and Functions 4.1 Introduction to Relations 4.2 Introduction to Functions 4.3 Graphs of Functions 4.4 Variation Lesson 5 Polynomials 5.1 Addition and Subtraction of Polynomials and Polynomial Functions 5.2 Multiplication of Polynomials 5.3 Division of Polynomials Problem Recognition Exercises�Operations on Polynomials 5.4 Greatest Common Factor and Factoring by Grouping 5.5 Factoring Trinomials 5.6 Factoring Binomials 5.7 Additional Factoring Summary 5.8 Solving Equations by Using the Zero Product Rule Lesson 6 Rational Expressions and Rational Equations 6.1 Rational Expressions and Rational Functions 6.2 Multiplication and Division of Rational Expressions 6.3 Addition and Subtraction of Rational Expressions 6.4 Complex Fractions Problem Recognition Exercises�Operations on Rational Expressions 6.5 Rational Equations 6.6 Applications of Rational Equations and Proportions Lesson 7 Radicals and Complex Numbers 7.1 Definition of an nth Root 7.2 Rational Exponents 7.3 Simplifying Radical Expressions 7.4 Addition and Subtraction of Radicals 7.5 Multiplication of Radicals 7.6 Rationalization 7.7 Radical Equations 7.8 Complex Numbers Lesson 8 Quadratic Equations and Functions 8.1 Square Root Property and Completing the Square 8.2 Quadratic Formula 8.3 Equations in Quadratic Form 8.4 Graphs of Quadratic Functions 8.5 Vertex of a Parabola and Applications Lesson 9 More Equations and Inequalities 9.1 Compound Inequalities 9.2 Polynomial and Rational Inequalities 9.3 Absolute Value Equations 9.4 Absolute Value Inequalities Problem Recognition Exercises�Equations and Inequalities 9.5 Linear Inequalities in Two Variables The good Lord made us with two ends - one to sit on and one to think with. How well you succeed in life depends on which one you use"... Isaac Dworetsky
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