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| Introduction to Algebraic Expressions Introduction to Algebra | |
| The Commutative, Associative, and Distributive Laws | |
| Fraction Notation | |
| Positive and Negative Real Numbers | |
| Addition of Real Numbers | |
| Subtraction of Real Numbers | |
| Multiplication and Division of Real Numbers Exponential Notation and Order of Operations | |
| Connecting the Concepts | |
| Equations, Inequalities, and Problem Solving Solving Equations | |
| Using the Principles Together | |
| Connecting the Concepts | |
| Formulas | |
| Applications with Percent | |
| Problem Solving | |
| Solving Inequalities | |
| Solving Applications with Inequalities | |
| Introduction to Graphing | |
| Reading Graphs, Plotting Points, and Scaling Graphs | |
| Graphing Linear Equations | |
| Graphing and Intercepts | |
| Rates | |
| Slope | |
| Slope-Intercept Form | |
| Connecting the Concepts | |
| Point-Slope Form | |
| Connecting the Concepts | |
| Polynomials | |
| Exponents and Their Properties Polynomials | |
| Addition and Subtraction of Polynomials Connecting the Concepts | |
| Multiplication of Polynomials | |
| Special Products | |
| Polynomials in Several Variables | |
| Division of Polynomials | |
| Negative Exponents and Scientific Notation | |
| Polynomials and Factoring | |
| Introduction to Factoring | |
| Factoring Trinomials of the Type x 2 + bx + c Factoring Trinomials of the Type ax 2 + bx + c | |
| Factoring Perfect-Square Trinomials and Differences of Squares | |
| Factoring Sums or Differences of Cubes | |
| Factoring: A General Strategy | |
| Connecting the Concepts | |
| Solving Quadratic Equations by Factoring | |
| Connecting the Concepts | |
| Solving Applications | |
| Rational Expressions and Equations | |
| Rational Expressions | |
| Multiplication and Division | |
| Addition, Subtraction, and Least Common Denominators | |
| Addition and Subtraction with Unlike Denominators | |
| Complex Rational Expressions | |
| Solving Rational Equations | |
| Connecting the Concepts | |
| Applications Using Rational Equations and Proportions Formulas and Equations | |
| Functions and Graphs | |
| Introduction to Functions | |
| Domain and Range | |
| Graphs of Functions (including brief review of graphing) | |
| Connecting the Concepts | |
| The Algebra of Functions | |
| Variation and Problem Solving | |
| Chapter 8 | |
| Systems of Equations in Two Variables | |
| Solving by Substitution or Elimination | |
| Connecting the Concepts | |
| Solving Applications: Systems of Two Equations Systems of Equations in Three Variables | |
| Connecting the Concepts | |
| Solving Applications: Systems of Three Equations | |
| Elimination Using Matrices | |
| Determinants and Cramerrsquo;s Rule | |
| Business and Economics Applications | |
| Inequalities and Problem Solving | |
| Interval Notation and Problem Solving | |
| Intersections, Unions, and Compound Inequalities | |
| Absolute-Value Equations and Inequalities | |
| Inequalities in Two Variables | |
| Connecting the Concepts | |
| Applications Using Linear Programming | |
| Exponents and Radicals | |
| Radical Expressions and Functions | |
| Rational Numbers as Exponents | |
| Multiplying Radical Expressions | |
| Dividing Radical Expressions | |
| Expressions Containing Several Radical Terms | |
| Solving Radical Equations | |
| Connecting the Concepts | |
| Geometric Applications | |
| The Complex Numbers | |
| Quadratic Functions and Equations | |
| Quadratic Eq | |
| Table of Contents provided by Publisher. All Rights Reserved. |