An Introduction to Algebra | |

The Language of Algebra | |

Fractions | |

The Real Numbers | |

Adding Real Numbers | |

Properties of Addition | |

Subtracting Real Numbers | |

Multiplying and Dividing Real Numbers | |

Exponents and Order of Operations | |

Algebraic Expressions | |

Simplifying Algebraic Expressions Using Properties of Real Numbers | |

Chapter 1 Summary and Review | |

Chapter 1 Test | |

Equations, Inequalities, and Problem Solving | |

Solving Equations Using Properties of Equality | |

More about Solving Equations | |

Applications of Percent | |

Formulas | |

Problem Solving | |

More about Problem Solving | |

Solving Inequalities | |

Chapter 2 Summary and Review | |

Chapter 2 Test | |

Chapters 1-2 Cumulative Review Exercises | |

Graphs, Linear Equations, and Functions | |

Graphing Using the Rectangular Coordinate System | |

Equations Containing Two Variables | |

Graphing Linear Equations | |

Rate of Change and the Slope of a Line | |

Slope-Intercept Form | |

Point-Slope Form | |

Writing Linear Equations | |

Graphing Linear Inequalities | |

Functions | |

Chapter 3 Summary and Review | |

Chapter 3 Test | |

Chapters 1-3 Cumulative Review Exercises | |

Solving Systems of Equations and Inequalities | |

Solving Systems of Equations by Graphing | |

Solving Systems of Equations by Substitution | |

Solving Systems of Equations by Addition (Elimination) | |

Problem Solving Using Systems of Equations | |

Solving Systems of Linear Inequalities | |

Chapter 4 Summary and Review | |

Chapter 4 Test | |

Chapters 1-4 Cumulative Review Exercises | |

Exponents and Polynomials | |

Natural-Number Exponents | |

Rules of Exponents | |

Zero and Negative Integer Exponents | |

Scientific Notation | |

Polynomials | |

Adding and Subtracting Polynomials | |

Multiplying Polynomials | |

Dividing Polynomials by Monomials | |

Dividing Polynomials by Polynomials | |

Chapter 5 Summary and Review | |

Chapter 5 Test | |

Chapters 1-5 Cumulative Review Exercises | |

Factoring and Quadratic Equations | |

The Greatest Common Factor | |

Factoring by Grouping | |

Factoring Trinomials of the Form x2 + bx = c | |

Factoring Trinomials of the Form ax2 + bx + c | |

Factoring Perfect-Square Trinomials and the Difference of Two Squares | |

Factoring the Sum and Difference of Two Cubes | |

A Factoring Strategy | |

Quadratic Equations | |

Applications of Quadratic Equations | |

Chapter 6 Summary and Review | |

Chapter 6 Test | |

Chapters 1-6 Cumulative Review Exercises | |

Rational Expressions and Equations | |

Simplifying Rational Expressions | |

Multiplying and Dividing Rational Expressions | |

Adding and Subtracting with Like Denominators | |

Least Common Denominators | |

Adding and Subtracting with Unlike Denominators | |

Simplifying Complex Fractions | |

Solving Rational Equations | |

Problem Solving Using Rational Equations | |

Proportions and Similar Triangles | |

Variation | |

Chapter 7 Summary and Review | |

Chapter 7 Test | |

Chapters 1-7 Cumulative Review Exercises | |

Roots and Radicals | |

Square Roots | |

Higher-Order Roots | |

Radicands That Contain Variables | |

Simplifying Radical Expressions | |

Adding and Subtracting Radical Expressions | |

Multiplying and Dividing Radical Expressions | |

Solving Radical Equations; the Distance Formula | |

Rational Exponents | |

Chapter 8 Summary and Review | |

Chapter 8 Test | |

Chapters 1-8 Cumulative Review Exercises | |

Quadratic Equations | |

Solving Quadratic Equations: The Square Root Property | |

Solving Quadratic Equations: Completing the Square. | |

Solving Quadratic Equations: The Quadratic Formula | |

Graphing Quadratic Functions | |

Complex Numbers | |

Chapter 9 Summary and Review | |

Chapter 9 Test | |

Chapter 9 Cumulative Review Exercises | |

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