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| The Real Number System | |
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| Fractions | |
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| The Real Numbers | |
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| Ordered Pairs and Graphs | |
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| Basic Rules of Algebra | |
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| Addition of Real Numbers | |
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| Subtraction of Real Numbers | |
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| Multiplication and Division of Real Numbers | |
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| Exponents, Order of Operations, and Mathematical Models | |
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| Linear Equations and Inequalities in One Variable | |
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| The Addition Property of Equality | |
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| The Multiplication Property of Equality | |
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| Solving Linear Equations | |
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| Formulas and Percents | |
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| An Introduction to Problem Solving | |
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| Problem Solving in Geometry | |
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| Solving Linear Inequalities | |
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| Linear Equations in Two Variables | |
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| Graphing Linear Equations | |
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| Graphing Linear Equations Using Intercepts | |
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| Slope | |
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| The Slope-Intercept Form of the Equation of a Line | |
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| The Point-Slope Form of the Equation of a Line | |
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| Systems of Linear Equations | |
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| Solving Systems of Linear Equations by Graphing | |
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| Solving Systems of Linear Equations by the Substitution Method | |
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| Solving Systems of Linear Equations by the Addition Method | |
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| Problem Solving Using Systems of Equations | |
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| Exponents and Polynomials | |
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| Adding and Subtracting Polynomials | |
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| Multiplying Polynomials | |
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| Special Products | |
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| Polynomials in Several Variables | |
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| Dividing Polynomials | |
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| Dividing Polynomials by Binomials; Synthetic Division | |
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| Negative Exponents and Scientific Notation | |
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| Factoring Polynomials | |
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| The Greatest Common Factor and Factoring by Grouping | |
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| Factoring Trinomials Whose Leading Coefficient Is One | |
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| Factoring Trinomials Whose Leading Coefficient Is Not One | |
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| Factoring Special Forms | |
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| A General Factoring Strategy | |
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| Solving Quadratic Equations by Factoring | |
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| Rational Expressions | |
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| Rational Expressions and Their Simplification | |
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| Multiplying and Dividing Rational Expressions | |
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| Adding and Subtracting Rational Expressions with the Same Denominator | |
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| Adding and Subtracting Rational Expressions with Different Denominators | |
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| Complex Rational Expressions | |
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| Solving Rational Equations | |
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| Applications Using Rational Equations and Proportions | |
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| Modeling Using Variation | |
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| Functions, More on Systems of Linear Functions | |
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| Introduction to Functions | |
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| The Algebra of Functions | |
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| Systems of Linear Equations in Three Variables | |
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| Matrix Solutions to Systems Linear Equations | |
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| Determinants and Cramer's Rule | |
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| Inequalities and Problem Solving | |
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| Interval Notation and Business Applications Using Linear Inequalities | |
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| Compound Inequalities | |
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| Equations and Inequalities Involving Absolute Value | |
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| Linear Inequalities Containing Two Variables | |
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| Linear Programming | |
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| Radicals, Radical Functions, and Rational Exponents | |
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| Radical Expressions and Functions | |
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| Rational Exponents | |
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| Multiplying and Simplifying Radical Expressions | |
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| Adding, Subtracting, and Dividing Radical Expressions | |
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| Multiplying with More Than One Term and Rationalizing Denominators | |
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| Radical Equations | |
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| Complex Numbers | |
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| Quadratic Equations and Functions | |
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| The Square Root Property and Completing the Square | |
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| The Quadratic Formula | |
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| Quadratic Functions and Their Graphs | |
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| Equations Quadratic in Form | |
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| Quadratic and Rational Inequalities | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions | |
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| Composite and Inverse Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Exponential and Logarithmic Equations | |
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| Exponential Growth and Decay; Modeling Data | |
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| Conic Sections and Systems of Nonlinear Equations | |
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| Distance and Midpoint Formulas; Circles | |
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| The Ellipse | |
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| The Hyperbola | |
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| The Parabola; Identifying Conic Sections | |
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| Systems of Nonlinear Equations in Two Variables | |
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| Sequences, Induction, and Probability | |
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| Sequences and Summation Notation | |
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| Arithmetic Sequences | |
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| Geometric Sequences and Series | |
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| The Binomial Theorem | |
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| Counting Principles, Permutations, and Combinations | |
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| Probability | |
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| Are You Prepared for Intermediate Algebra? | |
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| Where Did That Come From? Selected Proofs | |