Note: Each chapter concludes with Chapter Summary, Chapter Review Exercises, and Chapter Practice Test and after Chapter 1, Cumulative Review Test.
Preface
To the Student
CHAPTER 1 Real Numbers
1.1 Study Skills for Success in Mathematics
1.2 Problem Solving
1.3 Fractions
1.4 The Real Number System
1.5 Inequalities
Mid-Chapter Test: Sections 1.1—1.5
1.6 Addition of Real Numbers
1.7 Subtraction of Real Numbers
1.8 Multiplication and Division of Real Numbers
1.9 Exponents, Parentheses, and the Order of Operations
1.10 Properties of the Real Number System
CHAPTER 2 Solving Linear Equations and Inequalities
2.1 Combining Like Terms
2.2 The Addition Property of Equality
2.3 The Multiplication Property of Equality
2.4 Solving Linear Equations with a Variable on Only One Side of the Equation
Mid-Chapter Test: Sections 2.1—2.4
2.5 Solving Linear Equations with the Variable on Both Sides of the Equation
2.6 Formulas
2.7 Ratios and Proportions
2.8 Inequalities in One Variable
CHAPTER 3 Applications of Algebra
3.1 Changing Application Problems into Equations
3.2 Solving Application Problems
Mid-Chapter Test: Sections 3.1—3.2
3.3 Geometric Problems
3.4 Motion, Money, and Mixture Problems
CHAPTER 4 Exponents and Polynomials
4.1 Exponents
4.2 Negative Exponents
4.3 Scientific Notation
Mid-Chapter Test: Sections 4.1—4.3
4.4 Addition and Subtraction of Polynomials
4.5 Multiplication of Polynomials
4.6 Division of Polynomials
CHAPTER 5 Factoring
5.1 Factoring a Monomial from a Polynomial
5.2 Factoring by Grouping
5.3 Factoring Trinomials of the form ax² + bx + c, a = 1
5.4 Factoring Trinomials of the form ax² + bx + c, a ≠ 1
Mid-Chapter Test: Sections 5.1—5.4
5.5 Special Factoring Formulas and a General Review of Factoring
5.6 Solving Quadratic Equations Using Factoring
5.7 Applications of Quadratic Equations
CHAPTER 6 Rational Expressions and Equations
6.1 Simplifying Rational Expressions
6.2 Multiplication and Division of Rational Expressions
6.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator
6.4 Addition and Subtraction of Rational Expressions
Mid-Chapter Test: Sections 6.1—6.4
6.5 Complex Fractions
6.6 Solving Rational Equations
6.7 Rational Equations: Applications and Problem Solving
6.8 Variation
CHAPTER 7 Graphing Linear Equations
7.1 The Cartesian Coordinate System and Linear Equations in Two Variables
7.2 Graphing Linear Equations
7.3 Slope of a Line
Mid-Chapter Test: Sections 7.1—7.3
7.4 Slope-Intercept and Point-Slope Forms of a Linear Equation
7.5 Graphing Linear Inequalities
7.6 Functions
CHAPTER 8 Systems of Linear Equations
8.1 Solving Systems of Equations Graphically
8.2 Solving Systems of Equations by Substitution
8.3 Solving Systems of Equations by the Addition Method
Mid-Chapter Test: Sections 8.1—8.3
8.4 Systems of Equations: Applications and Problem Solving
8.5 Solving Systems of Linear Inequalities
CHAPTER 9 Roots and Radicals
9.1 Evaluating Square Roots
9.2 Simplifying Square Roots
9.3 Adding, Subtracting, and Multiplying Square Roots
9.4 Dividing Square Roots
Mid-Chapter Test: Sections 9.1—9.4
9.5 Solving Radical Equations
9.6 Radicals: Applications and Problem Solving
9.7 Higher Roots and Rational Exponents
CHAPTER 10 Quadratic Equations
10.1 The Square Root Property
10.2 Solving Quadratic Equations by Completing the Square
10.3 Solving Quadratic Equations by the Quadratic Formula
Mid-Chapter Test: Sections 10.1—10.3
10.4 Graphing Quadratic Equations
10.5 Complex Numbers
APPENDICES
A Review of Decimals and Percents
B Finding the Greatest Common Factor and Least Common Denominator
C Geometry
Answers
Graphing Answer Section *found only in the Annotated Instructor's Edition
Applications Index
Index
Photo Credits