A Review of Basic Algebra | |
The Real Number System | |
Arithmetic and Properties of Real Numbers | |
Exponents | |
Scientific Notation | |
Solving Linear Equations in One Variable | |
Using Linear Equations to Solve Application Problems | |
Projects | |
Chapter Review | |
Chapter 1 Test | |
Graphs, Equations of Lines, and Functions | |
Graphing Linear Equations | |
Slope of a Line | |
Writing Equations of Lines | |
Introduction to Functions | |
Graphs of Other Functions | |
Projects | |
Chapter Review | |
Chapter 2 Test | |
Cumulative Review Exercises | |
Systems of Linear Equations | |
Solving Systems of Two Linear Equations by Graphing | |
Solving Systems of Two Linear Equations by Elimination (Addition) | |
Solving Systems of Three Linear Equations in Three Variables | |
Solving Systems of Linear Equations Using Matrices | |
Solving Systems of Linear Equations Using Determinants | |
Projects | |
Chapter Review | |
Chapter 3 Test | |
Inequalities | |
Solving Linear Inequalities in One Variable | |
Solving Equations and Inequalities in One Variable Containing Absolute Values | |
Solving Linear Inequalities in One or Two Variables | |
Solving Systems of Quadratic Inequalities in Two Variables | |
Solving Systems Using Linear Programming | |
Projects | |
Chapter Review | |
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 Review | |
Chapter 5 Test | |
Rational Expressions | |
Finding the Domain of Rational n and Simplifying Rational Expressions | |
Multiplying and Dividing Rational Expressions | |
Adding and Subtracting Rational Expressions | |
Simplifying Complex Fractions | |
Solving Equations Containing Rational Expressions | |
Dividing Polynomials | |
Synthetic Division | |
Proportion and Variation | |
Projects | |
Chapter Review | |
Chapter 6 Test | |
Cumulative Review Exercises | |
Radicals and Rational Exponents | |
Radical Expressions | |
Applications of the Pythagorean Theorem and the Distance Formula | |
Rational Exponents | |
Simplifying and Combining Radical Expressions | |
Multiplying and Dividing Radical Expressions | |
Radical Equations | |
Complex Numbers | |
Projects | |
Chapter Review | |
Chapter 7 Test | |
Quadratic Functions, Inequalities, and Algebra of Functions | |
Solving Quadratic Equations Using the Square Root Property and by Completing the Square | |
Solving Quadratic Equations by the Quadratic Formula | |
The Discriminant and Equations That Can Be Written in Quadratic Form. | |
Graphs of Quadratic Functions | |
Quadratic and Other Nonlinear Functions | |
Algebra and Composition of Functions | |
Inverses of Functions | |
Projects | |
Chapter Review | |
Chapter 8 Test | |
Cumulative Review Exercises | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Base-e Exponential Functions | |
Logarithmic Functions | |
Natural Logarithms | |
Properties of Logarithms | |
Exponential and Logarithmic Equations | |
Projects | |
Chapter Review | |
Chapter 9 Test | |
Conic Sections and More Graphing | |
The Circle and the Parabola | |
The Ellipse | |
The Hyperbola | |
Solving Systems Containing Second-Degree Equations | |
Piecewise-Defined Functions and the Greatest Inteher Function | |
Projects | |
Chapter Review | |
Chapter 10 Test | |
Cumulative Review Exercises | |
Miscellaneous Topics | |
The Binomial Theorem | |
Finding the nth Term of a Binomial Expansion | |
Arithmetic Sequences | |
Geometric Sequences | |
Infinite Geometric Sequences | |
Permutations and Combinations | |
Probability | |
Projects | |
Chapter Review | |
Chapter 11 Test | |
Cumulative Review Exercises | |
Glossary | |
Symmetries of Graphs | |
Sample Final Examination | |
Tables | |
Powers and Roots | |
Base-10 Logarithms | |
Base-e Logarithms | |
Answers to Selected Exercises | |
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