1. Foundations of Algebra
1.1 Number Sets and the Structure of Algebra
1.2 Fractions
1.3 Adding and Subtracting Real Numbers; Properties of Real Numbers
1.4 Multiplying and Dividing Real Numbers; Properties of Real Numbers
1.5 Exponents, Roots, and Order of Operations
1.6 Translating Word Phrases to Expressions
1.7 Evaluating and Rewriting Expressions
Summary and Review Exercises
Practice Test
2. Solving Linear Equations and Inequalities
2.1 Equations, Formulas, and the Problem-Solving Process
2.2 The Addition Principle of Equality
2.3 The Multiplication Principle of Equality
2.4 Applying the Principles to Formulas
2.5 Translating Word Sentences to Equations
2.6 Ratios and Proportions
2.7 Percents
2.8 Solving Linear Inequalities
Summary and Review Exercises
Practice Test
Chapters 1–2 Cumulative Review Exercises
3. Graphing Linear Equations and Inequalities
3.1 The Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 Graphing Using Intercepts
3.4 Slope–Intercept Form
3.5 Point–Slope Form
3.6 Graphing Linear Inequalities
3.7 Introduction to Functions and Function Notation
Summary and Review Exercises
Practice Test
Chapters 1–3 Cumulative Review Exercises
4. Systems of Linear Equations and Inequalities
4.1 Solving Systems of Linear Equations Graphically
4.2 Solving Systems of Linear Equations by Substitution; Applications
4.3 Solving Systems of Linear Equations by Elimination; Applications
4.4 More Applications with Systems of Equations
4.5 Solving Systems of Linear Inequalities
Summary and Review Exercises
Practice Test
Chapters 1–4 Cumulative Review Exercises
5. Polynomials
5.1 Exponents and Scientific Notation
5.2 Introduction to Polynomials
5.3 Adding and Subtracting Polynomials
5.4 Exponent Rules and Multiplying Monomials
5.5 Multiplying Polynomials; Special Products
5.6 Exponent Rules and Dividing Polynomials
Summary and Review Exercises
Practice Test
Chapters 1–5 Cumulative Review Exercises
6. Factoring
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Formx2+bx+c
6.3 Factoring Trinomials of the Formax2+bx+c, wherea≠ 1
6.4 Factoring Special Products
6.5 Strategies for Factoring
6.6 Solving Quadratic Equations by Factoring
6.7 Graphs of Quadratic Equations and Functions
Summary and Review Exercises
Practice Test
Chapters 1–6 Cumulative Review Exercises
7. Rational Expressions and Equations
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominator
7.4 Adding and Subtracting Rational Expressions with Different Denominators
7.5 Complex Rational Expressions
7.6 Solving Equations Containing Rational Expressions
7.7 Applications with Rational Expressions, Including Variation
Summary and Review Exercises
Practice Test
Chapters 1–7 Cumulative Review Exercises
8. Roots and Radicals
8.1 Square Roots and Radical Expressions
8.2 Multiplying and Simplifying Square Roots
8.3 Dividing and Simplifying Square Roots
8.4 Addition, Subtraction, and Mixed Operations with Square Roots
8.5 Solving Radical Equations
8.6 Higher Roots and Rational Exponents
Summary and Review Exercises
Practice Test
Chapters 1–8 Cumulative Review Exercises
9. Quadratic Equations
9.1 The Square Root Principle
9.2 Solving Quadratic Equations by Completing the Square
9.3 Solving Quadratic Equations Using the Quadratic Formula
9.4 Complex Numbers
9.5 Graphing Quadratic Equations
Summary and Review Exercises
Practice Test
Chapters 1–9 Cumulative Review Exercises
Appendix: Mean, Median, and Mode
Photo Credits
Collaborative Exercises
Answers
Glossary
Index of Applications
Index
