Table of Contents:
Index of Activities
Index of Animations
Preface
Index of Applications
JUST-IN-TIME REVIEW
1. The Set of Real Numbers
2. Order for the Real Numbers
3. Graphing Inequalities on the Number Line
4. Absolute Value
5. Add Real Numbers
6. Opposites, or Additive Inverses
7. Subtract Real Numbers
8. Multiply Real Numbers
9. Divide Real Numbers
10. Exponential Notation (Part 1)
11. Order of Operations
12. Translate to an Algebraic Expression
13. Evaluate Algebraic Expressions
14. Equivalent Fraction Expressions
15. The Commutative Laws and the Associative Laws
16. The Distributive Laws
17. Collecting Like Terms
18. Removing Parentheses and Collecting Like Terms
19. Exponential Notation (Part 2)
20. Scientific Notation
1. SOLVING LINEAR EQUATIONS AND INEQUALITIES
1.1 Solving Equations
1.2 Formulas and Applications
1.3 Applications and Problem Solving
Mid-Chapter Review
1.4 Sets, Inequalities, and Interval Notation
Translating for Success
1.5 Intersections, Unions, and Compound Inequalities
1.6 Absolute-Value Equations and Inequalities
Summary and Review
Test
2. GRAPHS, FUNCTIONS, AND APPLICATIONS
2.1 Graphs of Equations
2.2 Functions and Graphs
2.3 Finding Domain and Range
Mid-Chapter Review
2.4 Linear Functions: Graphs and Slope
2.5 More on Graphing Linear Equations
Visualizing for Success
2.6 Finding Equations of Lines; Applications
Summary and Review
Test
Cumulative Review
3. SYSTEMS OF EQUATIONS
3.1 Systems of Equations in Two Variables
3.2 Solving by Substitution
3.3 Solving by Elimination
3.4 Solving Applied Problems: Two Equations
Translating for Success
Mid-Chapter Review
3.5 Systems of Equations in Three Variables
3.6 Solving Applied Problems: Three Equations
3.7 Systems of Inequalities in Two Variables
Visualizing for Success
Summary and Review
Test
Cumulative Review
4. POLYNOMIALS AND POLYNOMIAL FUNCTIONS
4.1 Introduction to Polynomials and Polynomial Functions
4.2 Multiplication of Polynomials
4.3 Introduction to Factoring
4.4 Factoring Trinomials: x2 + bx + c
Mid-Chapter Review
4.5 Factoring Trinomials: ax2 + bx + c, a ≠ 1
4.6 Special Factoring
Visualizing for Success
4.7 Factoring: A General Strategy
4.8 Applications of Polynomial Equations and Functions
Translating for Success
Summary and Review
Test
Cumulative Review
5. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS
5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying
5.2 LCMs, LCDs, Addition, and Subtraction
5.3 Division of Polynomials
5.4 Complex Rational Expressions
Mid-Chapter Review
5.5 Solving Rational Equations
5.6 Applications and Proportions
Translating for Success
5.7 Formulas and Applications
5.8 Variation and Applications
Summary and Review
Test
Cumulative Review
6. RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS
6.1 Radical Expressions and Functions
6.2 Rational Numbers as Exponents
6.3 Simplifying Radical Expressions
6.4 Addition, Subtraction, and More Multiplication
Mid-Chapter Review
6.5 More on Division of Radical Expressions
6.6 Solving Radical Equations
6.7 Applications Involving Powers and Roots
Translating for Success
6.8 The Complex Numbers
Summary and Review
Test
Cumulative Review
7. QUADRATIC EQUATIONS AND FUNCTIONS
7.1 The Basics of Solving Quadratic Equations
7.2 The Quadratic Formula
7.3 Applications Involving Quadratic Equations
Translating for Success
7.4 More on Quadratic Equations
Mid-Chapter Review
7.5 Graphing f(x) = a(x - h)2 + k
7.6 Graphing f(x) = ax2 + bx + c
Visualizing for Success
7.7 Mathematical Modeling with Quadratic Functions
7.8 Polynomial Inequalities and Rational Inequalities
Summary and Review
Test
Cumulative Review
8. EXPONENTIAL FUNCTIONS AND LOGARITHMIC FUNCTIONS
8.1 Exponential Functions
8.2 Composite Functions and Inverse Functions
8.3 Logarithmic Functions
8.4 Properties of Logarithmic Functions
Mid-Chapter Review
8.5 Natural Logarithmic Functions
Visualizing for Success
8.6 Solving Exponential Equations and Logarithmic Equations
8.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions
Translating for Success
Summary and Review
Test
Cumulative Review
9. CONIC SECTIONS
9.1 Parabolas and Circles
9.2 Ellipses
Mid-Chapter Review
9.3 Hyperbolas
Visualizing for Success
9.4 Nonlinear Systems of Equations
Summary and Review
Test
Cumulative Review
APPENDIXES
A. Fraction Notation
B. Determinants and Cramer’s Rule
C. Elimination Using Matrices
D. The Algebra of Functions
Answers
Guided Solutions
Glossary
Index