| 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 | |
| Equations, Inequalities, and Problem Solving | |
| Solving Equations | |
| Using the Principles Together | |
| Formulas | |
| Applications with Percent | |
| Problem Solving | |
| Solving Inequalities | |
| Solving Applications with Inequalities | |
| Graphs and Linear Equations | |
| Reading Graphs, Plotting Points, and Estimating Values | |
| Graphing Equations | |
| Solving Equations by Graphing | |
| Graphing and Intercepts | |
| Rates and Models | |
| Slope | |
| Slope-Intercept Form | |
| Point-Slope Form | |
| Systems of Equations and Problem Solving | |
| Systems of Equations and Graphing | |
| Systems of Equations and Substitution | |
| Systems of Equations and Elimination | |
| More Applications Using Systems | |
| Linear Inequalities in Two Variables | |
| Systems of Linear Inequalities | |
| Polynomials | |
| Exponents and Their Properties | |
| Polynomials | |
| Addition and Subtraction of Polynomials | |
| 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 sup2; + bx + c | |
| Factoring Trinomials of the Type axsup2; + bx + c | |
| Factoring Perfect-Square Trinomials and Differences of Squares | |
| Factoring: A General Strategy | |
| Solving Quadratic Equations by Factoring | |
| 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 | |
| Applications Using Rational Equations and Proportions | |
| Direct and Inverse Variation | |
| Radical Expressions and Equations | |
| Introduction to Square Roots and Radical Expressions | |
| Multiplying and Simplifying Radical Expressions | |
| Quotients Involving Square Roots | |
| Radical Expressions with Several Terms | |
| Radical Equations | |
| Applications Using Right Triangles | |
| Higher Roots and Rational Exponents | |
| Quadratic Equations | |
| Solving Quadratic Equations: The Principle of Square Roots | |
| Solving Quadratic Equations: Completing the Square | |
| The Quadratic Formula and Applications | |
| Formulas and Equations | |
| Complex Numbers as Solutions of Quadratic Equations | |
| Graphs of Quadratic Equations | |
| Functions | |
| Sets | |
| Factoring Sums or Differences of Cubes | |
| Fractional and Decimal Equivalents | |
| Squares and Square Roots | |
| Geometric Formulas | |
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