Note: every chapter concludes with a Chapter Summary and Review and a Chapter Test. Chapters 3, 6, 9, 12, and 14 also have a Cumulative Review | |
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 | |
Introduction to Graphing and Functions | |
Reading Graphs, Plotting Points, and Scaling Graphs | |
Graphing Equations | |
Linear Equations and Intercepts | |
Rates | |
Slope | |
Slope-Intercept Form | |
Point-Slope Form; Introduction to Curve Fitting | |
Functions | |
Systems of Equations in Two Variables | |
Systems of Equations and Graphing | |
Systems of Equations and Substitution | |
Systems of Equations and Elimination | |
More Applications Using Systems | |
Solving Equations by Graphing | |
Polynomials | |
Exponents and Their Properties | |
Negative Exponents and Scientific Notation | |
Polynomials and Polynomial Functions | |
Addition and Subtraction of Polynomials | |
Multiplication of Polynomials | |
Special Products | |
Polynomials in Several Variables | |
Division of Polynomials | |
The Algebra of Functions | |
Polynomial Factorizations and Equations | |
Introduction to Polynomial Factorizations and Equations | |
Equations Containing Trinomials of the Type x2 + bx + c | |
Equations Containing Trinomials of the Type ax2 + bx + c | |
Equations Containing Perfect-Square Trinomials and Differences of Squares | |
Equations Containing Sums or Differences of Cubes | |
Factoring: A General Strategy | |
Applications of Polynomial Equations | |
Rational Expressions, Equations, and Functions | |
Rational Expressions and Functions | |
Multiplication and Division | |
Addition, Subtraction, and Least Common Denominators | |
Addition and Subtraction with Unlike Denominators | |
Complex Rational Expressions | |
Rational Equations | |
Applications Using Rational Equations and Proportions | |
Formulas, Applications, and Variation | |
Inequalities | |
Graphical Solutions and Compound Inequalities | |
Absolute-Value Equations and Inequalities | |
Inequalities in Two Variables | |
Polynomial and Rational Inequalities | |
More on Systems | |
Systems of Equations in Three Variables | |
Solving Applications: Systems of Three Equations | |
Elimination Using Matrices | |
Determinants and Cramers Rule | |
Business and Economics Applications | |
Exponents and Radical Functions | |
Radical Expressions, Functions, and Models | |
Rational Numbers as Exponents | |
Multiplying Radical Expressions | |
Dividing Radical Expressions | |
Expressions Containing Several Radical Terms | |
Solving Radical Equations | |
Geometric Applications | |
The Complex Numbers | |
Quadratic Functions and Equations | |
Quadratic Equations | |
The Quadratic Formula | |
Applications Involving Quadratic Equations | |
Studying Solutio | |
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