Table of Contents
(Each chapter ends with a Group Activity; Chapter Summary including, Key Terms, New Symbols, Test Your Word Power, and Quick Review; Review Exercises; & Chapter Test. Cumulative Review Exercises appear beginning after Chapter 2.) The industry listed in the parentheses is the industry theme for that chapter.
1. The Real Number System (Construction & Manufacturing).
Fractions.
Exponents, Order of Operations, and Inequality.
Variables, Expressions, and Equations.
Real Numbers and the Number Line.
Addition and Subtraction of Real Numbers.
Multiplication and Division of Real Numbers.
Properties of Real Numbers.
Simplifying Expressions.
2. Linear Equations and Applications (Sports).
The Addition and Multiplication Properties of Equality.
More on Solving Linear Equations.
An Introduction to Applications of Linear Equations.
Formulas and Applications from Geometry.
Ratios and Proportions.
More About Problem Solving.
3. Linear Inequalities and Absolute Value (Entertainment).
Linear Inequalities in One Variable.
Set Operations and Compound Inequalities.
Absolute Value Equations and Inequalities.
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities.
4. Linear Equations in Two Variables (Business).
Linear Equations in Two Variables.
Graphing Linear Equations in Two Variables.
The Slope of a Line.
5. Polynomials and Exponents (Aeronautics).
Addition and Subtraction of Polynomials; Graphing Simple Polynomials.
The Product Rule and Power Rules for Exponents.
Multiplication of Polynomials.
Special Products.
Integer Exponents and the Quotient Rule.
Division of Polynomials.
An Application of Exponents: Scientific Notation.
6. Factoring and Applications (Transportation).
The Greatest Common Factor; Factoring by Grouping.
Factoring Trinomials.
More on Factoring Trinomials.
Special Factoring Rules; Summary Exercises on Factoring.
Solving Quadratic Equations by Factoring.
Applications of Quadratic Equations.
7. Rational Expressions (Health Care).
The Fundamental Property of Rational Expressions.
Multiplication and Division of Rational Expressions.
The Least Common Denominator.
Addition and Subtraction of Rational Expressions.
Complex Fractions.
Solving Equations Involving Rational Expressions. Summary Exercises on Operations and Equations with Rational Expressions.
Applications of Rational Expressions.
8. Equations of Lines, Inequalities, and Functions (Energy).
Review of Graphs and Slopes of Lines.
Equations of Lines.
Linear Inequalities in Two Variables.
Functions.
9. Linear Systems (Entertainment & Sports).
Solving Systems of Linear Equations by Graphing.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination.
Linear Systems of Equations in Three Variables.
Applications of Linear Systems of Equations.
Solving Linear Systems of Equations by Matrix Methods.
Determinants and Cramer's Rule.
10. Roots and Radicals (Electronics).
Evaluating Roots.
Multiplication and Division of Radicals.
Addition and Subtraction of Radicals.
Rationalizing the Denominator.
Simplifying Radical Expressions.
Solving Equations with Radicals.
Fractional Exponents.
11. Quadratic Equations, Inequalities, and Graphs (Astronomy).
Solving Quadratic Equations by the Square Root Property.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations by the Quadratic Formula.
Complex Numbers.
Equations Quadratic in Form.
Formulas and Applications.
Graphs of Quadratic Functions.
More About Parabolas; Applications.
Nonlinear Inequalities.
12. Inverse, Exponential, and Logarithmic Functions (Environment).
Inverse Functions.
Exponential Functions.
Logarithmic Functions.
Properties of Logarithms.
Evaluating Logarithms.
Exponential and Logarithmic Equations; Applications.
13. Conic Sections (Aerospace).
The Circle and the Ellipse.
The Hyperbola and Square Root Functions.
Nonlinear Systems of Equations.
Second-Degree Inequalities; Systems of Inequalities.
14. Sequences and Series (Banking and Finance).
Sequences and Series.
Arithmetic Sequences.
Geometric Sequences.
The Binomial Theorem.
APPENDICES.
Appendix A. Review of Decimals and Percents.
Appendix B. Sets.
Appendix C. Joint and Combined Variation.
Appendix D. Synthetic Division.
Appendix E. Review of Exponents, Polynomials, and Factoring.
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