Beginning & Intermediate Algebra

<p>1. Review of Real Numbers</p> <p>1.1 Tips for Success in Mathematics</p> <p>1.2 Symbols and Sets of Numbers</p> <p>1.3 Fractions and Mixed Numbers</p> <p>1.4 Exponents, Order of Operations, Variable Expressions and Equations</p> <p>1.5 Adding Real Numbers</p> <p>1.6 Subtracting Real Numbers</p> <p>Integrated Review–Operations on Real Numbers</p> <p>1.7 Multiplying and Dividing Real Numbers</p> <p>1.8 Properties of Real Numbers</p> <p>&nbsp;</p> <p>2. Equations, Inequalities, and Problem Solving</p> <p>2.1 Simplifying Algebraic Expressions</p> <p>2.2 The Addition and Multiplication Properties of Equality</p> <p>2.3 Solving Linear Equations</p> <p>Integrated Review–Solving Linear Equations</p> <p>2.4 An Introduction to Problem Solving</p> <p>2.5 Formulas and Problem Solving</p> <p>2.6 Percent and Mixture Problem Solving</p> <p>2.7 Further Problem Solving</p> <p>2.8 Solving Linear Inequalities</p> <p>&nbsp;</p> <p>3. Graphing</p> <p>3.1 Reading Graphs and the Rectangular Coordinate System</p> <p>3.2 Graphing Linear Equations</p> <p>3.3 Intercepts</p> <p>3.4 Slope and Rate of Change</p> <p>Integrated Review–Summary on Slope and Graphing Linear Equations</p> <p>3.5 Equation of Lines</p> <p>3.6 Functions</p> <p>&nbsp;</p> <p>4. Solving Systems of Linear Equations</p> <p>4.1 Solving Systems of Linear Equations by Graphing</p> <p>4.2 Solving Systems of Linear Equations by Substitution</p> <p>4.3 Solving Systems of Linear Equations by Addition</p> <p>Integrated Review–Solving Systems of Equations</p> <p>4.4 Solving Systems of Linear Equations in Three Variables</p> <p>4.5 Systems of Linear Equations and Problem Solving</p> <p>&nbsp;</p> <p>5. Exponents and Polynomials</p> <p>5.1 Exponents</p> <p>5.2 Polynomial Functions and Adding and Subtracting&nbsp; Polynomials</p> <p>5.3 Multiplying Polynomials</p> <p>5.4 Special Products</p> <p>Integrated Review–Exponents and Operations on&nbsp; Polynomials</p> <p>5.5 Negative Exponents and Scientific Notation</p> <p>5.6 Dividing Polynomials</p> <p>5.7 Synthetic Division and the Remainder Theorem</p> <p>&nbsp;</p> <p>6. Factoring Polynomials</p> <p>6.1 The Greatest Common Factor and Factoring by Grouping</p> <p>6.2 Factoring Trinomials of the Form x² + bx + c</p> <p>6.3 Factoring Trinomials of the Form ax² + bx + c by Perfect Square Trinomials</p> <p>6.4 Factoring Trinomials of the Form ax² + bx + c by Grouping</p> <p>6.5 Factoring Binomials</p> <p>Integrated Review–Choosing a Factoring Strategy</p> <p>6.6 Solving Quadratic Equations by Factoring</p> <p>6.7 Quadratic Equations and Problem Solving</p> <p>&nbsp;</p> <p>7. Rational Expressions</p> <p>7.1 Rational Functions and Simplifying Rational Expressions</p> <p>7.2 Multiplying and Dividing Rational Expressions</p> <p>7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common&nbsp; Denominator</p> <p>7.4 Adding and Subtracting Rational Expressions with Unlike&nbsp;&nbsp; Denominators</p> <p>7.5 Solving Equations Containing Rational Expressions </p> <p>Integrated Review–Summary on Rational Expressions</p> <p>7.6 Proportion and Problem Solving with Rational Equations</p> <p>7.7 Simplifying Complex Fractions</p> <p>&nbsp;</p> <p>8. More on Functions and Graphs</p> <p>8.1 Graphing and Writing Linear Functions</p> <p>8.2 Reviewing Function Notation and Graphing Nonlinear&nbsp; Functions</p> <p>Integrated Review–Summary on Functions and Equations of Lines</p> <p>8.3 Graphing Piecewise-Defined Functions and Shifting and&nbsp; Reflecting Graphs of Functions</p> <p>8.4 Variation and Problem Solving</p> <p>&nbsp;</p> <p>9. Inequalities and Absolute Value</p> <p>9.1 Compound Inequalities</p> <p>9.2 Absolute Value Equations</p> <p>9.3 Absolute Value Inequalities</p> <p>Integrated Review–Solving Compound Inequalities and Absolute Value Equations and Inequalities</p> <p>9.4</p>