A Review Of Basic Algebra | |
The Real Number System | |
Arithmetic and Properties of Real Numbers | |
Exponents | |
Scientific Notation | |
Solving Equations | |
Using Equations to Solve Problems | |
More Applications of Equations | |
Projects | |
Chapter Summary | |
Chapter 1 Test | |
Graphs, Equations of Lines and Functions | |
Graphing Linear Equations | |
Slope of a Non-Vertical Line | |
Writing Equations of Lines | |
Introduction to Functions | |
Graphs of Other Functions | |
Projects | |
Chapter Summary | |
Chapter 2 Test | |
Cumulative Review Exercises | |
Systems of Equations | |
Solution by Graphing | |
Solution by Elimination | |
Solutions of Three Equations in Three Variables | |
Solution by Matrices | |
Solution by Determinants | |
Projects | |
Chapter Summary | |
Chapter 3 Test | |
Inequalities | |
Linear Inequalities | |
Equations and Inequalities with Absolute Values | |
Linear Inequalities in Two Variables | |
Systems of Inequalities | |
Linear Programming | |
Projects | |
Chapter Summary | |
Chapter 4 test | |
Cumulative Review Exercises | |
Polynomials and Polynomial Functions | |
Polynomials and Polynomial Functions | |
Adding and Subtracting Polynomials | |
Multiplying Polynomials | |
The Greatest Common Factor and Factoring by Grouping | |
The Difference of Two Squares; the Sum and Difference of Two Cubes | |
Factoring Trinomials | |
Summary of Factoring Techniques | |
Solving Equations by Factoring | |
Projects | |
Chapter Summary | |
Chapter 5 Test | |
Rational Expressions | |
Rational Functions and Simplifying Rational Expressions | |
Multiplying and Dividing Rational Expressions | |
Adding and Subtracting Rational Expressions | |
Complex Fractions | |
Equations Containing Rational Expressions | |
Dividing Polynomials | |
Synthetic Division | |
Proportions and Variation | |
Projects | |
Chapter Summary | |
Chapter 6 Test | |
Cumulative Review Exercises | |
Radicals and Rational Exponents | |
Radical Expressions | |
Applications of Radicals | |
Rational Exponents | |
Simplifying and Combining Radical Expressions | |
Multiplying and Dividing Radical Expressions | |
Radical Equations | |
Complex Numbers | |
Projects | |
Chapter Summary | |
Chapter 7 Test | |
Quadratic Functions, Inequalities, and Algebra of Functions | |
Solving Quadratic Equations by Completing the Square | |
Solving Quadratic Equations by the Quadratic Formula | |
The Discriminate and Equations That Can be Written in Quadratic Form | |
Graphs of Quadratic Functions | |
Quadratic and Other Nonlinear Inequalities | |
Algebra and Composition of Functions | |
Inverses of Functions | |
Projects | |
Chapter Summary | |
Chapter 8 Test | |
Cumulative Review Exercises | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Base-e Exponential Functions | |
Logarithmic Functions | |
Base-e Logarithms | |
Exponential and Logarithmic Equations | |
Projects | |
Chapter Summary | |
Chapter 9 Test | |
More Graphing and Conic Sections | |
The Circle and the Parabola | |
The Ellipse | |
The Hyperbola | |
Solving Simultaneous Second-Degree Equations | |
Piecewise-Defined Functions and the Greatest Integer Function | |
Problems and Projects | |
Chapter Summary | |
Chapter 10 Test | |
Cumulative Review Exercises | |
Miscellaneous Topics | |
The Binomial Theorem | |
The nth Term of a Binomial Expansion | |
Arithmetic Sequences | |
Geometric Sequences | |
Infinite Geometric Sequences | |
Permutations and Combinations | |
Probability | |
Problems and Projects | |
Chapter Summary | |
Chapter 11 Test | |
Cumulative Review Exercises | |
AppendiceS | |
Symmetries of Graphs | |
Sample Final Examination | |
Tables | |
Answers to Selected Answers | |
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