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Each chapter except R ends with Summary, Review Exercises, Test, and Cumulative Review Exercises sections.)
R. Prealgebra Review. Fractions.
Decimals and Percents.
1. The Real Number System. Exponents, Order of Operations, and Inequality.
Variables, Expressions, and Equations.
Real Numbers and the Number Line.
Addition of Real Numbers.
Subtraction of Real Numbers.
Multiplication of Real Numbers.
Division of Real Numbers.
Properties of Addition and Multiplication.
Simplifying Expressions.
2. Solving Equations and Inequalities. The Addition Property of Equality.
The Multiplication Property of Equality.
More on Solving Linear Equations.
An Introduction to Applied Problems.
Formulas and Geometry Applications.
Ratio and Proportion; Percent.
The Addition and Multiplication Properties of Inequality.
3. Exponents and Polynomials. The Product Rule and Power Rules for Exponents.
Integer Exponents and the Quotient Rule.
An Application of Exponents: Scientific Notation.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Products of Binomials.
Division of a Polynomial by a Monomial.
The Quotient of Two Polynomials.
4. Factoring. Factors; The Greatest Common Factor.
Factoring Trinomials.
More on Factoring Trinomials.
Special Factorizations.
Summary Exercises on Factoring.
Solving Quadratic Equations by Factoring.
Applications of Quadratic Equations.
5. Rational Expressions. The Fundamental Property of Rational Expressions.
Multiplication and Division of Rational Expressions.
Least Common Denominators.
Addition and Subtraction of Rational Expressions.
Complex Fractions.
Equations Involving Rational Expressions.
Summary Exercises on Rational Expressions.
Applications of Rational Expressions.
6. Linear Equations and Inequalities in Two Variables. Reading Graphs; Linear Equations in Two Variables.
Graphing Linear Equations in Two Variables.
The Slope of a Line.
Equations of a Line.
Graphing Linear Inequalities in Two Variables.
7. Linear Systems of Equations and Inequalities. Solving Systems of Linear Equations by Graphing.
Solving Systems of Linear Equations by Addition.
Solving Systems of Linear Equations by Substitution.
Applications of Linear Systems.
Solving Systems of Linear Inequalities.
8. Roots and Radicals. Finding Roots.
Multiplication and Division of Radicals.
Addition and Subtraction of Radicals.
Rationalizing the Denominator.
Simplifying Radical Expressions.
Equations with Radicals.
9. Quadratic Equations. Solving Quadratic Equations by the Square Root Property.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations by the Quadratic Formula.
Summary Exercises on Quadratic Equations.
Graphing Quadratic Equations in Two Variables.
Answers to Selected Exercises. Solutions to Selected Exercises. Index. Video Correlation Guide.