Cuprins
1 Real Numbers and Their Properties
1.1 The Real Numbers
1.2 Fractions1.3 Addition and Subtraction of Real Numbers
1.4 Multiplication and Division of Real Numbers1.5 Exponential Expressions and the Order of Operations
1.6 Algebraic Expressions1.7 Properties of the Real Numbers
1.8 Using the Properties to Simplify Expressions2 Linear Equations in One Variable
2.1 The Addition and Multiplication Properties of Equality
2.2 Solving General Linear Equations2.3 Identities, Conditional Equations, and Inconsistent Equations
2.4 Formulas2.5 Translating Verbal Expressions into Algebraic Expressions
2.6 Number, Geometric, and Uniform Motion Applications2.7 Discount, Investment, and Mixture Applications
3 Inequalities in One Variable
3.1 Inequalities
3.2 Compound Inequalities3.3 Absolute Value Equations and Inequalities
4 Linear Equations in Two Variables and Their Graphs
4.1 Graphing Lines in the Coordinate Plane
4.2 Slope4.3 Equations of Lines in Slope-Intercept and Standard Form
4.4 The Point-Slope Form4.5 Applications of Linear Equations
4.6 Introduction to Functions5 Polynomials and Exponents
5.1 Addition and Subtraction of Polynomials
5.2 Multiplication of Polynomials5.3 Multiplication of Binomials
5.4 Special Products5.5 Division of Polynomials
5.6 Positive Integral Exponents5.7 Negative Exponents and Scientific Notation
6 Factoring
6.1 Factoring Out Common Factors
6.2 Factoring the Special Products and Factoring by Grouping6.3 Factoring ax2+bx+c with a=1
6.4 Factoring ax2+bx+c with a not=16.5 The Factoring Strategy
6.6 Solving Quadratic Equations by Factoring7 Rational Expressions
7.1 Reducing Rational Expressions
7.2 Multiplication and Division7.3 Finding the Least Common Denominator
7.4 Addition and Subtraction7.5 Complex Fractions
7.6 Solving Equations with Rational Expressions7.7 Applications of Ratios and Proportions
7.8 Applications of Rational ExpressionsMidtext Diagnostic Review
8 Systems of Linear Equations
8.1 Solving Systems by Graphing and Substitution
8.2 The Addition Method8.3 Systems of Linear Equations in Three Variables
8.4 Solving Linear Systems Using Matrices8.5 Determinants and Cramer's Rule
8.6 Graphing Linear Inequalities in Two Variables8.7 Graphing Systems of Linear Inequalities
8.8 Linear Programming9 Radicals and Rational Exponents
9.1 Radicals
9.2 Rational Exponents9.3 Operations with Radicals
9.4 More Operations with Radicals9.5 Solving Equations with Radicals and Exponents
9.6 Complex Numbers10 Quadratic Equations, Functions, and Inequalities
10.1 Factoring and Completing the Square
10.2 The Quadratic Formula10.3 Quadratic Functions and Their Graphs
10.4 More on Quadratic Equations10.5 Quadratic and Rational Inequalities
11 Functions
11.1 Graphs of Functions and Relations
11.2 Transformations of Graphs11.3 Combining Functions
11.4 Inverse Functions11.5 Variation
11.6 Synthetic Division and the Factor Theorem12 Exponential and Logarithmic Functions
12.1 Exponential Functions and Their Applications
12.2 Logarithmic Functions and Their Applications12.3 Properties of Logarithms
12.4 Solving Equations and Applications13 Nonlinear Systems and the Conic Sections
13.1 Nonlinear Systems of Equations
13.2 The Parabola13.3 The Circle
13.4 The Ellipse and Hyperbola13.5 Second-Degree Inequalities
14 Sequences and Series
14.1 Sequences
14.2 Series14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series14.5 Binomial Expansions
Appendix A Geometry Review
Appendix B Table of Squares and Square RootsAppendix C Common Logarithms
Appendix D Answers to Selected Exercises